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    5 
    6 TitleText('Financial Mathematics')
    7 EditionText('1')
    8 AuthorText('Holt')
    9 
   10 1   >>> Introduction to Interest
   11 1.1 >>> Simple Interest
   12 1.2 >>> Compound Interest
   13 1.3 >>> Effective and Nominal Rates of Interest
   14 1.4 >>> Present and Future Value
   15 
   16 2   >>> Equations of Value
   17 2.1 >>> Time Value of Money
   18 2.2 >>> Unknown Time and Logarithms
   19 2.3 >>> Dollar Weighted Rate of Return
   20 2.4 >>> Time Weighted Rate of Return
   21 
   22 3   >>> Annuities
   23 3.1 >>> Geometric Sums
   24 3.2 >>> Annuities
   25 3.3 >>> Loans
   26 3.4 >>> Sinking Funds
   27 3.5 >>> Varying Payments
   28 3.6 >>> Perpetuities
   29 
   30 4   >>> Bonds
   31 4.1 >>> Yield Rates
   32 4.2 >>> Bonds
   33 4.3 >>> Book Value
   34 4.4 >>> Other Bonds
   35 
   36 5   >>> Probability and Contingent Payments
   37 5.1 >>> Introduction to Probability
   38 5.2 >>> Expected Values
   39 5.3 >>> Contingent Payments
   40 
   41 6   >>> Options
   42 6.1 >>> Introduction to Options
   43 6.2 >>> Hedging Strategies
   44 6.3 >>> Binomial Trees
   45 
   46 TitleText('Mathematical Statistics')
   47 EditionText('6')
   48 AuthorText('Wackerly, Mendenhall, Scheaffer')
   49 
   50 1 >>> What Is Statistics?
   51 1.1 >>> Introduction
   52 1.2 >>> Characterizing a Set of Measurements: Graphical Methods
   53 1.3 >>> Characterizing a Set of Measurements: Numerical Methods
   54 1.4 >>> How Inferences Are Made
   55 1.5 >>> Theory and Reality
   56 1.6 >>> Summary
   57 
   58 2 >>> Probability
   59 2.1 >>> Introduction
   60 2.2 >>> Probability and Inference
   61 2.3 >>> A Review of Set Notation
   62 2.4 >>> A Probabilistic Model for an Experiment: The Discrete Case
   63 2.5 >>> Calculating the Probability of an Event: The Sample-Point Method
   64 2.6 >>> Tools for Counting Sample Points
   65 2.7 >>> Conditional Probability and the Independence of Events
   66 2.8 >>> Two Laws of Probability
   67 2.9 >>> Calculating the Probability of an Event: The Event-Composition Methods
   68 2.10 >>> The Law of Total Probability and Bayes's Rule
   69 2.11 >>> Numerical Events and Random Variables
   70 2.12 >>> Random Sampling
   71 2.13 >>> Summary
   72 
   73 3 >>> Discrete Random Variables and Their Probability Distributions
   74 3.1 >>> Basic Definition
   75 3.2 >>> The Probability Distribution for Discrete Random Variable
   76 3.3 >>> The Expected Value of Random Variable or a Function of Random Variable
   77 3.4 >>> The Binomial Probability Distribution
   78 3.5 >>> The Geometric Probability Distribution
   79 3.6 >>> The Negative Binomial Probability Distribution
   80 3.7 >>> The Hypergeometric Probability Distribution
   81 3.8 >>> Moments and Moment-Generating Functions
   82 3.9 >>> Probability-Generating Functions
   83 3.10 >>> Tchebysheff's Theorem
   84 3.11 >>> Summary
   85 
   86 4 >>> Continuous Random Variables and Their Probability Distributions
   87 4.1 >>> Introduction
   88 4.2 >>> The Probability Distribution for Continuous Random Variable
   89 4.3 >>> The Expected Value for Continuous Random Variable
   90 4.4 >>> The Uniform Probability Distribution
   91 4.5 >>> The Normal Probability Distribution
   92 4.6 >>> The Gamma Probability Distribution
   93 4.7 >>> The Beta Probability Distribution
   94 4.8 >>> Some General Comments
   95 4.9 >>> Other Expected Values
   96 4.10 >>> Tchebysheff's Theorem
   97 4.11 >>> Expectations of Discontinuous Functions and Mixed Probability Distributions
   98 4.12 >>> Summary
   99 
  100 5 >>> Multivariate Probability Distributions
  101 5.1 >>> Introduction
  102 5.2 >>> Bivariate and Multivariate Probability Distributions
  103 5.3 >>> Independent Random Variables
  104 5.4 >>> The Expected Value of a Function of Random Variables
  105 5.5 >>> Special Theorems
  106 5.6 >>> The Covariance of Two Random Variables
  107 5.7 >>> The Expected Value and Variance of Linear Functions of Random Variables
  108 5.8 >>> The Multinomial Probability Distribution
  109 5.9 >>> The Bivariate Normal Distribution
  110 5.10 >>> Conditional Expectations
  111 5.11 >>> Summary
  112 
  113 6 >>> Functions of Random Variables
  114 6.1 >>> Introductions
  115 6.2 >>> Finding the Probability Distribution of a Function of Random Variables
  116 6.3 >>> The Method of Distribution Functions
  117 6.4 >>> The Methods of Transformations
  118 6.5 >>> Multivariable Transformations Using Jacobians
  119 6.6 >>> Order Statistics
  120 6.7 >>> Summary
  121 
  122 7 >>> Sampling Distributions and the Central Limit Theorem
  123 7.1 >>> Introduction
  124 7.2 >>> Sampling Distributions Related to the Normal Distribution
  125 7.3 >>> The Central Limit Theorem
  126 7.4 >>> A Proof of the Central Limit Theorem
  127 7.5 >>> The Normal Approximation to the Binomial Distributions
  128 7.6 >>> Summary
  129 
  130 8 >>> Estimation
  131 8.1 >>> Introduction
  132 8.2 >>> The Bias and Mean Square Error of Point Estimators
  133 8.3 >>> Some Common Unbiased Point Estimators
  134 8.4 >>> Evaluating the Goodness of Point Estimator
  135 8.5 >>> Confidence Intervals
  136 8.6 >>> Large-Sample Confidence Intervals Selecting the Sample Size
  137 8.7 >>> Small-Sample Confidence Intervals for u and u1-u2
  138 8.8 >>> Confidence Intervals for o2
  139 8.9 >>> Summary
  140 
  141 9 >>> Properties of Point Estimators and Methods of Estimation
  142 9.1 >>> Introduction
  143 9.2 >>> Relative Efficiency
  144 9.3 >>> Consistency
  145 9.4 >>> Sufficiency
  146 9.5 >>> The Rao-Blackwell Theorem and Minimum-Variance Unbiased Estimation
  147 9.6 >>> The Method of Moments
  148 9.7 >>> The Method of Maximum Likelihood
  149 9.8 >>> Some Large-Sample Properties of MLEs
  150 9.9 >>> Summary
  151 
  152 10 >>> Hypothesis Testing
  153 10.1 >>> Introduction
  154 10.2 >>> Elements of a Statistical Test
  155 10.3 >>> Common Large-Sample Tests
  156 10.4 >>> Calculating Type II Error Probabilities and Finding the Sample Size for the Z Test
  157 10.5 >>> Relationships Between Hypothesis Testing Procedures and Confidence Intervals
  158 10.6 >>> Another Way to Report the Results of a Statistical Test: Attained Significance Levels or p-Values
  159 10.7 >>> Some Comments on the Theory of Hypothesis Testing
  160 10.8 >>> Small-Sample Hypothesis Testing for u and u1-u2
  161 10.9 >>> Testing Hypotheses Concerning Variances
  162 10.10 >>> Power of Test and the Neyman-Pearson Lemma
  163 10.11 >>> Likelihood Ration Test
  164 10.12 >>> Summary
  165 
  166 11 >>> Linear Models and Estimation by Least Squares
  167 11.1 >>> Introduction
  168 11.2 >>> Linear Statistical Models
  169 11.3 >>> The Method of Least Squares
  170 11.4 >>> Properties of the Least Squares Estimators for the Simple Linear Regression Model
  171 11.5 >>> Inference Concerning the Parameters BI
  172 11.6 >>> Inferences Concerning Linear Functions of the Model Parameters: Simple Linear Regression
  173 11.7 >>> Predicting a Particular Value of Y Using Simple Linear Regression
  174 11.8 >>> Correlation
  175 11.9 >>> Some Practical Examples
  176 11.10 >>> Fitting the Linear Model by Using Matrices
  177 11.11 >>> Properties of the Least Squares Estimators for the Multiple Linear Regression Model
  178 11.12 >>> Inferences Concerning Linear Functions of the Model Parameters: Multiple Linear Regression
  179 11.13 >>> Prediction a Particular Value of Y Using Multiple Regression
  180 11.14 >>> A Test for H0: Bg+1 + Bg+2 = ? = Bk = 0
  181 11.15 >>> Summary and Concluding Remarks
  182 
  183 12 >>> Considerations in Designing Experiments
  184 12.1 >>> The Elements Affecting the Information in a Sample
  185 12.2 >>> Designing Experiment to Increase Accuracy
  186 12.3 >>> The Matched Pairs Experiment
  187 12.4 >>> Some Elementary Experimental Designs
  188 12.5 >>> Summary
  189 
  190 13 >>> The Analysis of Variance
  191 13.1 >>> Introduction
  192 13.2 >>> The Analysis of Variance Procedure
  193 13.3 >>> Comparison of More than Two Means: Analysis of Variance for a One-way Layout
  194 13.4 >>> An Analysis of Variance Table for a One-Way Layout
  195 13.5 >>> A Statistical Model of the One-Way Layout
  196 13.6 >>> Proof of Additivity of the Sums of Squares and E (MST) for a One-Way Layout
  197 13.7 >>> Estimation in the One-Way Layout
  198 13.8 >>> A Statistical Model for the Randomized Block Design
  199 13.9 >>> The Analysis of Variance for a Randomized Block Design
  200 13.10 >>> Estimation in the Randomized Block Design
  201 13.11 >>> Selecting the Sample Size
  202 13.12 >>> Simultaneous Confidence Intervals for More than One Parameter
  203 13.13 >>> Analysis of Variance Using Linear Models
  204 13.14 >>> Summary
  205 
  206 14 >>> Analysis of Categorical Data
  207 14.1 >>> A Description of the Experiment
  208 14.2 >>> The Chi-Square Test
  209 14.3 >>> A Test of Hypothesis Concerning Specified Cell Probabilities: A Goodness-of-Fit Test
  210 14.4 >>> Contingency Tables
  211 14.5 >>> r x c Tables with Fixed Row or Column Totals
  212 14.6 >>> Other Applications
  213 14.7 >>> Summary and Concluding Remarks
  214 
  215 15 >>> Nonparametric Statistics
  216 15.1 >>> Introduction
  217 15.2 >>> A General Two-Sampling Shift Model
  218 15.3 >>> A Sign Test for a Matched Pairs Experiment
  219 15.4 >>> The Wilcoxon Signed-Rank Test for a Matched Pairs Experiment
  220 15.5 >>> The Use of Ranks for Comparing Two Population Distributions: Independent Random Samples
  221 15.6 >>> The Mann-Whitney U Test: Independent Random Samples
  222 15.7 >>> The Kruskal-Wallis Test for One-Way Layout
  223 15.8 >>> The Friedman Test for Randomized Block Designs
  224 15.9 >>> The Runs Test: A Test for Randomness
  225 15.10 >>> Rank Correlation Coefficient
  226 15.11 >>> Some General Comments on Nonparametric Statistical Test
  227 
  228 16 >>> Appendix 1: Matrices and Other Useful Mathematical Results
  229 16.1 >>> Appendix 1.1: Matrices and Matrix Algebra
  230 16.2 >>> Appendix 1.2: Addition of Matrices
  231 16.3 >>> Appendix 1.3: Multiplication of a Matrix by a Real Number
  232 16.4 >>> Appendix 1.4: Matrix Multiplication
  233 16.5 >>> Appendix 1.5: Identity Elements
  234 16.6 >>> Appendix 1.6: The Inverse of a Matrix
  235 16.7 >>> Appendix 1.7: The Transpose of a Matrix
  236 16.8 >>> Appendix 1.8: A Matrix Expression for a System of Simultaneous Linear Equations
  237 16.9 >>> Appendix 1.9: Inverting a Matrix
  238 16.10 >>> Appendix 1.10: Solving a System of Simultaneous Linear Equations
  239 16.11 >>> Appendix 1.11: Other Useful Mathematical Results
  240 
  241 17 >>> Appendix 2: Common Probability Distributions, Means, Variances, and Moment Generating Functions
  242 17.1 >>> Appendix 2.1: Discrete Distributions
  243 17.2 >>> Appendix 2.2: Continuous Distributions.
  244 
  245 18 >>> Appendix 3: Tables
  246 18.1 >>> Appendix 3.1: Binomial Probabilities
  247 18.2 >>> Appendix 3.2: Table of e-x
  248 18.3 >>> Appendix 3.3: Poisson Probabilities
  249 18.4 >>> Appendix 3.4: Normal Curve Areas
  250 18.5 >>> Appendix 3.5: Percentage Points of the t Distributions
  251 18.6 >>> Appendix 3.6: Percentage Points of the F Distributions
  252 18.7 >>> Appendix 3.7: Distribution of Function U
  253 18.8 >>> Appendix 3.8: Critical Values of T in the Wilcoxon Matched-Pairs, Signed-Ranks Test
  254 18.9 >>> Appendix 3.9: Distribution of the Total Number of Runs R in Sample Size (n1,n2); P(R < a)
  255 18.10 >>> Appendix 3.10: Critical Values of Pearman's Rank Correlation Coefficient
  256 18.11 >>> Appendix 3.11: Random Numbers
  257 
  258 TitleText('Calculus')
  259 EditionText('5')
  260 AuthorText('Stewart')
  261 
  262 1 >>> Functions and Models
  263 1.1 >>> Four Ways to Represent a Function
  264 1.2 >>> Mathematical Models: A Catalog of Essential Functions
  265 1.3 >>> New Functions from Old Functions
  266 1.4 >>> Graphing Calculators and Computers
  267 
  268 2 >>> Limits and Rates of Change
  269 2.1 >>> The Tangent and Velocity Problems
  270 2.2 >>> The Limit of a Function
  271 2.3 >>> Calculating Limits Using the Limit Laws
  272 2.4 >>> The Precise Definition of a Limit
  273 2.5 >>> Continuity
  274 2.6 >>> Tangents, Velocities, and Other Rates of Change
  275 
  276 3 >>> Derivatives
  277 3.1 >>> Derivatives
  278 3.2 >>> The Derivative as a Function
  279 3.3 >>> Differentiation Formulas
  280 3.4 >>> Rates of Change in the Natural and Social Sciences
  281 3.5 >>> Derivatives of Trigonometric Functions
  282 3.6 >>> The Chain Rule
  283 3.7 >>> Implicit Differentiation
  284 3.8 >>> Higher Derivatives
  285 3.9 >>> Related Rates
  286 3.10 >>> Linear Approximations and Differentials
  287 
  288 4 >>> Applications of Differentiation
  289 4.1 >>> Maximum and Minimum Values
  290 4.2 >>> The Mean Value Theorem
  291 4.3 >>> How Derivatives Affect the Shape of a Graph
  292 4.4 >>> Limits at Infinity; Horizontal Asymptotes
  293 4.5 >>> Summary of Curve Sketching
  294 4.6 >>> Graphing with Calculus and Calculators
  295 4.7 >>> Optimization Problems
  296 4.8 >>> Applications to Business and Economics
  297 4.9 >>> Newton's Method
  298 4.10 >>> Antiderivatives
  299 
  300 5 >>> Integrals
  301 5.1 >>> Areas and Distances
  302 5.2 >>> The Definite Integral
  303 5.3 >>> The Fundamental Theorem of Calculus
  304 5.4 >>> Indefinite Integrals and the Net Change Theorem
  305 5.5 >>> The Substitution Rule
  306 
  307 6 >>> Applications of Integration
  308 6.1 >>> Areas between Curves
  309 6.2 >>> Volumes
  310 6.3 >>> Volumes by Cylindrical Shells
  311 6.4 >>> Work
  312 6.5 >>> Average Value of a Function
  313 
  314 7 >>> Inverse Functions
  315 7.1 >>> Inverse Functions
  316 7.2 >>> Exponential Functions and Their Derivatives
  317 7.3 >>> Logarithmic Functions
  318 7.4 >>> Derivatives of Logarithmic Functions
  319 7.5 >>> Inverse Trigonometric Functions
  320 7.6 >>> Hyperbolic Functions
  321 7.7 >>> Indeterminate Forms and L'Hospital's Rule
  322 
  323 8 >>> Techniques of Integration
  324 8.1 >>> Integration by Parts
  325 8.2 >>> Trigonometric Integrals
  326 8.3 >>> Trigonometric Substitution
  327 8.4 >>> Integration of Rational Functions by Partial Fractions
  328 8.5 >>> Strategy for Integration
  329 8.6 >>> Integration Using Tables and Computer Algebra Systems
  330 8.7 >>> Approximate Integration
  331 8.8 >>> Improper Integrals
  332 
  333 9 >>> Further Applications of Integration
  334 9.1 >>> Arc Length
  335 9.2 >>> Area of a Surface of Revolution
  336 9.3 >>> Applications to Physics and Engineering
  337 9.4 >>> Applications to Economics and Biology
  338 9.5 >>> Probability
  339 
  340 10 >>> Differential Equations
  341 10.1 >>> Modeling with Differential Equations
  342 10.2 >>> Direction Fields and Euler's Method
  343 10.3 >>> Separable Equations
  344 10.4 >>> Exponential Growth and Decay
  345 10.5 >>> The Logistic Equation
  346 10.6 >>> Linear Equations
  347 10.7 >>> Predator-Prey Systems
  348 
  349 11 >>> Parametric Equations and Polar Coordinates
  350 11.1 >>> Curves Defined by Parametric Equations
  351 11.2 >>> Calculus with Parametric Curves
  352 11.3 >>> Polar Coordinates
  353 11.4 >>> Areas and Lengths in Polar Coordinates
  354 11.5 >>> Conic Sections
  355 11.6 >>> Conic Sections in Polar Coordinates
  356 
  357 12 >>> Infinite Sequences and Series
  358 12.1 >>> Sequences
  359 12.2 >>> Series
  360 12.3 >>> The Integral Test and Estimates of Sums
  361 12.4 >>> The Comparison Tests
  362 12.5 >>> Alternating Series
  363 12.6 >>> Absolute Convergence and the Ratio and Root Tests
  364 12.7 >>> Strategy for Testing Series
  365 12.8 >>> Power Series
  366 12.9 >>> Representations of Functions as Power Series
  367 12.10 >>> Taylor and Maclaurin Series
  368 12.11 >>> The Binomial Series
  369 12.12 >>> Applications of Taylor Polynomials
  370 
  371 13 >>> Vectors and the Geometry of Space
  372 13.1 >>> Three-Dimensional Coordinate Systems
  373 13.2 >>> Vectors
  374 13.3 >>> The Dot Product
  375 13.4 >>> The Cross Product
  376 13.5 >>> Equations of Lines and Planes
  377 13.6 >>> Cylinders and Quadric Surfaces
  378 13.7 >>> Cylindrical and Spherical Coordinates
  379 
  380 14 >>> Vector Functions
  381 14.1 >>> Vector Functions and Space Curves
  382 14.2 >>> Derivatives and Integrals of Vector Functions
  383 14.3 >>> Arc Length and Curvature
  384 14.4 >>> Motion in Space: Velocity and Acceleration
  385 
  386 15 >>> Partial Derivatives
  387 15.1 >>> Functions of Several Variables
  388 15.2 >>> Limits and Continuity
  389 15.3 >>> Partial Derivatives
  390 15.4 >>> Tangent Planes and Linear Approximations
  391 15.5 >>> The Chain Rule
  392 15.6 >>> Directional Derivatives and the Gradient Vector
  393 15.7 >>> Maximum and Minimum Values
  394 15.8 >>> Lagrange Multipliers
  395 
  396 16 >>> Multiple Integrals
  397 16.1 >>> Double Integrals over Rectangles
  398 16.2 >>> Iterated Integrals
  399 16.3 >>> Double Integrals over General Regions
  400 16.4 >>> Double Integrals in Polar Coordinates
  401 16.5 >>> Applications of Double Integrals
  402 16.6 >>> Surface Area
  403 16.7 >>> Triple Integrals
  404 16.8 >>> Triple Integrals in Cylindrical and Spherical Coordinates
  405 16.9 >>> Change of Variables in Multiple Integrals
  406 
  407 17 >>> Vector Calculus
  408 17.1 >>> Vector Fields
  409 17.2 >>> Line Integrals
  410 17.3 >>> The Fundamental Theorem for Line Integrals
  411 17.4 >>> Green's Theorem
  412 17.5 >>> Curl and Divergence
  413 17.6 >>> Parametric Surfaces and Their Areas
  414 17.7 >>> Surface Integrals
  415 17.8 >>> Stokes' Theorem
  416 17.9 >>> The Divergence Theorem
  417 17.10 >>> Summary
  418 
  419 18 >>> Second-Order Differential Equations
  420 18.1 >>> Second-Order Linear Equations
  421 18.2 >>> Nonhomogeneous Linear Equations
  422 18.3 >>> Applications of Second- Order Differential Equations
  423 18.4 >>> Series Solutions
  424 
  425 25 >>> Appendix H: Complex Numbers
  426 
  427 TitleText('College Algebra')
  428 EditionText('4')
  429 AuthorText('Stewart, Redlin, Watson')
  430 
  431 0 >>> Prerequisites
  432 0.1 >>> Modeling the Real World
  433 0.2 >>> Real Numbers
  434 0.3 >>> Integer Exponents
  435 0.4 >>> Rational Exponents and Radicals
  436 0.5 >>> Algebraic Expressions
  437 0.6 >>> Factoring
  438 0.7 >>> Rational Expressions
  439 
  440 1 >>> Equations and Inequalities
  441 1.1 >>> Basic Equations
  442 1.2 >>> Modeling with Equations
  443 1.3 >>> Quadratic Equations
  444 1.4 >>> Complex Numbers
  445 1.5 >>> Other Types of Equations
  446 1.6 >>> Inequalities
  447 1.7 >>> Absolute Value Equations and Inequalities
  448 
  449 2 >>> Coordinates and Graphs
  450 2.1 >>> The Coordinate Plane
  451 2.2 >>> Graphs of Equations in Two Variables
  452 2.3 >>> Graphing Calculators; Solving Equations and Inequalitie Graphically
  453 2.4 >>> Lines
  454 2.5 >>> Modeling: Variation
  455 
  456 3 >>> Functions
  457 3.1 >>> What Is a Function?
  458 3.2 >>> Graphs of Functions
  459 3.3 >>> Increasing and Decreasing Functions; Average Rate of Change
  460 3.4 >>> Transformations of Functions
  461 3.5 >>> Quadratic Functions; Maxima and Minima
  462 3.6 >>> Combining Functions
  463 3.7 >>> One-to-One Functions and Their Inverses
  464 
  465 4 >>> Polynomial and Rational Functions
  466 4.1 >>> Polynomial Functions and Their Graphs
  467 4.2 >>> Dividing Polynomials
  468 4.3 >>> Real Zeros of Polynomials
  469 4.4 >>> Complex Zeros and the Fundamental Theorem of Algebra
  470 4.5 >>> Rational Functions
  471 5 >>> Exponential and Logarithmic Functions
  472 5.1 >>> Exponential Functions
  473 5.2 >>> Logarithmic Functions
  474 5.3 >>> Laws of Logarithms
  475 5.4 >>> Exponential and Logarithmic Equations
  476 5.5 >>> Modeling with Exponential and Logarithmic Functions
  477 
  478 6 >>> Systems of Equations and Inequalities
  479 6.1 >>> Systems of Equations
  480 6.2 >>> Systems of Linear Equations in Two Variables
  481 6.3 >>> Systems of Linear Equations in Several Variables
  482 6.4 >>> Systems of Inequalities
  483 6.5 >>> Partial Fractions
  484 
  485 7 >>> Matrices and Determinants
  486 7.1 >>> Matrices and Systems of Linear Equations
  487 7.2 >>> The Algebra of Matrices
  488 7.3 >>> Inverses of Matrices and Matrix Equations
  489 7.4 >>> Determinants and Cramer's Rule
  490 
  491 8 >>> Conic Sections
  492 8.1 >>> Parabolas
  493 8.2 >>> Ellipses
  494 8.3 >>> Hyperbolas
  495 8.4 >>> Shifted Conics
  496 
  497 9 >>> Sequences and Series
  498 9.1 >>> Sequences and Summation Notation
  499 9.2 >>> Arithmetic Sequences
  500 9.3 >>> Geometric Sequences
  501 9.4 >>> Mathematics of Finance
  502 9.5 >>> Mathematical Induction
  503 9.6 >>> The Binomial Theorem
  504 
  505 10 >>> Counting and Probability
  506 10.1 >>> Counting Principles
  507 10.2 >>> Permutations and Combinations
  508 10.3 >>> Probability
  509 10.4 >>> Binomial Probability
  510 10.5 >>> Expected Value
  511 
  512 TitleText('Statistics for Management and Economics')
  513 EditionText('7')
  514 AuthorText('Keller')
  515 
  516 1 >>> What is Statistics?
  517 1.1 >>> Key Statistical Concepts
  518 1.2 >>> Statistical Applications in Business
  519 1.3 >>> Statistics and the Computer
  520 1.4 >>> World Wide Web and Learning Center
  521 1.A >>> Instructions for the CD-ROM
  522 1.B >>> Introduction to Microsoft Excel
  523 1.C >>> Introduction to Minitab
  524 2 >>> Graphical and Tabular Descriptive Techniques
  525 2.1 >>> Types of Data and Information
  526 2.2 >>> Graphical and Tabular Techniques for Nominal Data
  527 2.3 >>> Graphical Techniques for Interval Data
  528 2.4 >>> Describing the relationship Between Two Variables
  529 2.5 >>> Describing Time-Series Data
  530 3 >>> Art and Science of Graphical Presentations
  531 3.1 >>> Graphical Excellence
  532 3.2 >>> Graphical Deception
  533 3.3 >>> Presenting Statistics: Written Reports and Oral Presentations
  534 4 >>> Numerical Descriptive Techniques
  535 4.1 >>> Measures of Central Location
  536 4.2 >>> Measures of Variability
  537 4.3 >>> Measures of Relative Standing and Box Plots
  538 4.4 >>> Measures of Linear Relationship
  539 4.5 >>> Applications in Professional Sports: Baseball
  540 4.6 >>> Comparing Graphical and Numerical Techniques
  541 4.7 >>> General Guidelines for Exploring Data
  542 5 >>> Data Collection and Sampling
  543 5.1 >>> Methods of Collecting Data
  544 5.2 >>> Sampling
  545 5.3 >>> Sampling Plans
  546 5.4 >>> Sampling and Nonsampling Errors
  547 6 >>> Probability
  548 6.1 >>> Assigning Probability to Events
  549 6.2 >>> Joint, Marginal, and Conditional Probability
  550 6.3 >>> Probability Rules and Trees
  551 6.4 >>> Bayes' Law
  552 6.5 >>> Identifying the Correct Method
  553 7 >>> Random Variables and Discrete Probability Distributions
  554 7.1 >>> Random Variables and Probability Distributions
  555 7.2 >>> Bivariate Distributions
  556 7.3 >>> Applications in Finance: Portfolio Diversification and Asset Allocation
  557 7.4 >>> Binomial Distribution
  558 7.5 >>> Poisson Distribution
  559 8 >>> Continuous Probability Distributions
  560 8.1 >>> Probability Density Functions
  561 8.2 >>> Normal Distribution
  562 8.3 >>> Exponential Distribution
  563 8.4 >>> Other Continuous Distributions
  564 9 >>> Sampling Distributions
  565 9.1 >>> Sampling Distribution of the Mean
  566 9.2 >>> Sampling Distribution of a Proportion
  567 9.3 >>> Sampling Distribution of the Difference Between Two Means
  568 9.4 >>> From Here to Inference
  569 10 >>> Introduction to Estimation
  570 10.1 >>> Concepts of Estimation
  571 10.2 >>> Estimating the Population Mean When the Population Standard Deviation is Known
  572 10.3 >>> Selecting the Sample Size
  573 11 >>> Introduction to Hypothesis Testing
  574 11.1 >>> Concepts of Hypothesis Testing
  575 11.2 >>> Testing the Population Mean When the Population Standard Deviation is Known
  576 11.3 >>> Calculating the Probability of a Type II Error
  577 11.4 >>> The Road Ahead
  578 12 >>> Inference About a Population
  579 12.1 >>> Inference About a Population Mean When the Standard Deviation is Unknown
  580 12.2 >>> Inference about a Population Variance
  581 12.3 >>> inference about a Population Proportion
  582 12.4 >>> Applications in Marketing: Market Segmentation
  583 12.5 >>> Applications in Marketing: Auditing
  584 13 >>> Inference About Comparing Two Populations
  585 13.1 >>> Inference about the Difference Between Two Means: Independent Samples
  586 13.2 >>> Observational and Experimental Data
  587 13.3 >>> Inference about the Difference Between Two Means: Matched Pairs Experiment
  588 13.4 >>> Inference about the Ratio of Two Variances
  589 13.5 >>> Inference about the Difference Between Two Population Proportions
  590 13.A >>> Excel Instructions for Stacked and Unstacked Data
  591 13.B >>> Minitab Instructions for Stacked and Unstacked Data
  592 14 >>> Statistical Inference: Review of Chapters 12 and 13
  593 14.1 >>> Guide to Identifying the Correct Technique: Chapters 12 and 13
  594 15 >>> Analysis of Variance
  595 15.1 >>> One-Way Analysis of Variance
  596 15.2 >>> Analysis of Variance Experimental Designs
  597 15.3 >>> Randomized Blocks (Two-Way) Analysis of Variance
  598 15.4 >>> Two-Factor Analysis of Variance
  599 15.5 >>> Appplications in Operations Management: Finding and Reducing Variation
  600 15.6 >>> Multiple Comparisons
  601 16 >>> Chi-Squared Tests
  602 16.1 >>> Chi-Squared Goodness-of-Fit Test
  603 16.2 >>> Chi-Squared Test of a Contingency Table
  604 16.3 >>> Summary of Tests on Nominal Data
  605 16.4 >>> Chi-Squared Tests of Normality
  606 17 >>> Simple Linear Regression and Correlation
  607 17.1 >>> Model
  608 17.2 >>> Estimating the Coefficients
  609 17.3 >>> Error Variable: Required Conditions
  610 17.4 >>> Assessing the Model
  611 17.5 >>> Applications in Finance: Market Model
  612 17.6 >>> Using the Regression Equation
  613 17.7 >>> Regression Diagnostics-I
  614 18 >>> Multiple Regression
  615 18.1 >>> Model and Required Conditions
  616 18.2 >>> Estimating the Coefficients and Assessing the Model
  617 18.3 >>> Regression Diagnostics-II
  618 18.4 >>> Regression Diagnostics-III (Time Series)
  619 
  620 19 >>> Appendix A: Excel Troubleshooting and Detailed Instructions
  621 20 >>> Appendix B: Minitab Detailed Instructions
  622 21 >>> Appendix C: Approximating Means and Variances from Grouped Data
  623 22 >>> Appendix D: Descriptive Techniques Review Exercises
  624 23 >>> Appendix E: Couting Formulas
  625 24 >>> Appendix F: Hypergeometric Distribution
  626 25 >>> Appendix G: Continuous Probability Distributions: Calculus Approach
  627 26 >>> Appendix H: Using the Laws of Expected Value and Variance to Derive the Parameters of Sampling Distributions
  628 27 >>> Appendix I: Excel Spreadsheets for Techniques in Chapters 10-13
  629 28 >>> Appendix K: Converting Excel's Probabilities to p-Values
  630 29 >>> Appendix J: Excel and Minitab Instructions for Missing Data and for Recoding Data
  631 30 >>> Appendix L: Probability of a Type II Error When Testing a Proportion
  632 31 >>> Appendix M: Approximating p-Values from the Student t Table
  633 32 >>> Appendix N: Probability of a Type II Error When Testing the Difference Between Two Means
  634 33 >>> Appendix O: Probability of a Type II Erorr When Testing the Difference Between Two Proportions
  635 34 >>> Appendix P: Bartlett's Test
  636 35 >>> Appendix Q: Minitab Instructions for the Chi-Squared Goodness-of-Fit Test and the Test for Normality
  637 36 >>> Appendix R: The Rule of Five
  638 37 >>> Appendix S: Deriving the Normal Equations
  639 38 >>> Appendix T: Szroeter's Test for Heteroscedasticity
  640 39 >>> Appendix U: Transformations
  641 
  642 TitleText('Elementary Linear Algebra')
  643 
  644 EditionText('5')
  645 
  646 AuthorText('Larson, Edwards, Falvo')
  647 
  648 
  649 1 >>> Systems of Linear Equations
  650 1.1 >>> Introduction to Systems of Linear Equations
  651 1.2 >>> Gaussian Elimination and Gauss-Jordan Elimination
  652 1.3 >>> Applications of Systems of Linear Equations
  653 
  654 2 >>> Matrices
  655 2.1 >>> Operations with Matrices
  656 2.2 >>> Properties of Matrix Operations
  657 2.3 >>> The Inverse of a Matrix
  658 2.4 >>> Elementary Matrices
  659 2.5 >>> Applications of Matrix Operations
  660 
  661 3 >>> Determinants
  662 3.1 >>> The Determinant of a Matrix
  663 3.2 >>> Evaluation of a Determinant Using Elementary Operations
  664 3.3 >>> Properties of Determinants
  665 3.4 >>> Introduction to Eigenvalues
  666 3.5 >>> Applications of Determinants
  667 
  668 4 >>> Vector Spaces
  669 
  670 4.1 >>> Vectors in Rn
  671 4.2 >>> Vector Spaces
  672 4.3 >>> Subspaces of Vector Spaces
  673 4.4 >>> Spanning Sets and Linear Independence
  674 4.5 >>> Basis and Dimension
  675 4.6 >>> Rank of a Matrix and Systems of Linear Equations
  676 4.7 >>> Coordinates and Change of Basis
  677 4.8 >>> Applications of Vector Spaces
  678 
  679 5 >>> Inner Product Spaces
  680 5.1 >>> Length and Dot Product in Rn
  681 5.2 >>> Inner Product Spaces
  682 5.3 >>> Orthonormal Bases: Gram-Schmidt Process
  683 5.4 >>> Mathematical Models and Least Squares Analysis
  684 5.5 >>> Applications of Inner Product Spaces
  685 
  686 6 >>> Linear Transformations
  687 6.1 >>> Introduction to Linear Transformations
  688 6.2 >>> The Kernel and Range of a Linear Transformation
  689 6.3 >>> Matrices for Linear Transformations
  690 6.4 >>> Transition Matrices and Similarity
  691 6.5 >>> Applications of Linear Transformations
  692 
  693 7 >>> Eigenvalues and Eigenvectors
  694 7.1 >>> Eigenvalues and Eigenvectors
  695 7.2 >>> Diagonalization
  696 7.3 >>> Symmetric Matrices and Orthogonal Diagonalization
  697 7.4 >>> Applications of Eigenvalues and Eigenvectors
  698 
  699 8 >>> Complex Vector Spaces
  700 8.1 >>> Complex Numbers
  701 8.2 >>> Conjugates and Division of Complex Numbers
  702 8.3 >>> Polar Form and DeMoivre's Theorem
  703 8.4 >>> Complex Vector Spaces and Inner Products
  704 8.5 >>> Unitary and Hermitian Matrices
  705 
  706 9 >>> Linear Programming
  707 9.1 >>> Systems of Linear Inequalities
  708 9.2 >>> Linear Programming Involving Two Variables
  709 9.3 >>> The Simplex Method: Maximization
  710 9.4 >>> The Simplex Method: Minimization
  711 9.5 >>> The Simplex Method: Mixed Constraints
  712 
  713 10 >>> Numerical Methods
  714 
  715 10.1 >>> Gaussian Elimination with Partial Pivoting
  716 10.2 >>> Interative Methods for Solving Linear Systems
  717 10.3 >>> Power Method for Approximating Eigenvalues
  718 10.4 >>> Applications of Numerical Methods
  719 
  720 11 >>> Appendix A: Mathematical Induction and Other Forms of Proofs
  721 
  722 12 >>> Appendix B: Computer Algebra Systems and Graphing Calculators
  723 
  724 TitleText('Basic Multivariable Calculus')
  725 EditionText('3')
  726 AuthorText('Marsden, Tromba, Weinstein')
  727 
  728 1 >>> Algebra and Geometry of Euclidean Space
  729 1.1 >>> Vectors in the Plane and Space
  730 1.2 >>> The Inner Product and Distance
  731 1.3 >>> 2 x 2 and 3 x 3 Matrices and Determinants
  732 1.4 >>> The Cross Product and Planes
  733 1.5 >>> n-Dimensional Euclidean Space
  734 1.6 >>> Curves in the Plane and in Space
  735 
  736 2 >>> Differentiation
  737 2.1 >>> Graphs and Level Surfaces
  738 2.2 >>> Partial Derivatives and Continuity
  739 2.3 >>> Differentiability, the Derivative Matrix, and Tangent Planes
  740 2.4 >>> The Chain Rule
  741 2.5 >>> Gradients and Directional Derivatives
  742 2.6 >>> Implicit Differentiation
  743 
  744 3 >>> Higher Derivatives and Extrema
  745 3.1 >>> Higher Order Partial Derivatives
  746 3.2 >>> Taylor's Theorem
  747 3.3 >>> Maxima and Minima
  748 3.4 >>> Second Derivative Test
  749 3.5 >>> Constrained Extrema and Lagrange Multipliers
  750 
  751 4 >>> Vector-Valued Functions
  752 4.1 >>> Acceleration
  753 4.2 >>> Arc Length
  754 4.3 >>> Vector Fields
  755 4.4 >>> Divergence and Curl
  756 
  757 5 >>> Multiple Integrals
  758 5.1 >>> Volume and Cavalieri's Principle
  759 5.2 >>> The Double Integral Over a Rectangle
  760 5.3 >>> The Double Integral Over Regions
  761 5.4 >>> Triple Integrals
  762 5.5 >>> Change of Variables, Cylindrical and Spherical Coordinates
  763 5.6 >>> Applications of Multiple Integrals
  764 
  765 6 >>> Integrals Over Curves and Surfaces
  766 6.1 >>> Line Integrals
  767 6.2 >>> Parametrized Surfaces
  768 6.3 >>> Area of a Surface
  769 6.4 >>> Surface Integrals
  770 
  771 7 >>> The Integral Theorems of Vector Analysis
  772 7.1 >>> Green's Theorem
  773 7.2 >>> Stokes' Theorem
  774 7.3 >>> Gauss' Theorem
  775 7.4 >>> Path Independence and the Fundamental Theorems of Calculus
  776 
  777 TitleText('Precalculus')
  778 EditionText('5')
  779 AuthorText('Stewart, Redlin, Watson')
  780 
  781 1 >>> Fundamentals
  782 1.1 >>> Real Numbers
  783 1.2 >>> Exponents and Radicals
  784 1.3 >>> Algebraic Expressions
  785 1.4 >>> Rational Expression
  786 1.5 >>> Equations
  787 1.6 >>> Modeling with Equations
  788 1.7 >>> Inequalities
  789 1.8 >>> Coordinate Geometry
  790 1.9 >>> Graphing Calculators; Solving Equations and Inequalities Graphically
  791 1.10 >>> Lines
  792 1.11 >>> Modeling Variation
  793 
  794 2 >>> Functions
  795 2.1 >>> What is a Function?
  796 2.2 >>> Graphs of Functions
  797 2.3 >>> Increasing and Decreasing Functions; Average Rate of Change
  798 2.4 >>> Transformations of Functions
  799 2.5 >>> Quadratic Functions; Maxima and Minima
  800 2.6 >>> Modeling with Functions
  801 2.7 >>> Combining Functions
  802 2.8 >>> One-to-One Functions and Their Inverses
  803 
  804 3 >>> Polynomial and Rational Functions
  805 3.1 >>> Polynomial Functions and Their Graphs
  806 3.2 >>> Dividing Polynomials
  807 3.3 >>> Real Zeros of Polynomials
  808 3.4 >>> Complex Numbers
  809 3.5 >>> Complex Zeros and the Fundamental Theorem of Algebra
  810 3.6 >>> Rational Functions
  811 
  812 4 >>> Exponential and Logarithmic Functions
  813 4.1 >>> Exponential Functions
  814 4.2 >>> Logarithmic Functions
  815 4.3 >>> Laws of Logarithms
  816 4.4 >>> Exponential and Logarithmic Equations
  817 4.5 >>> Modeling with Exponential and Logarithmic Functions
  818 
  819 5 >>> Trigonometric Functions of Real Numbers
  820 5.1 >>> The Unit Circle
  821 5.2 >>> Trigonometric Functions of Real Numbers
  822 5.3 >>> Trigonometric Graphs
  823 5.4 >>> More Trigonometric Graphs
  824 5.5 >>> Modeling Harmonic Motion
  825 
  826 6 >>> Trigonometric Functions of Angles
  827 6.1 >>> Angle Measures
  828 6.2 >>> Trigonometry of Right Triangles
  829 6.3 >>> Trigonometric Functions of Angles
  830 6.4 >>> The Law of Sines
  831 6.5 >>> The Law of Cosines
  832 
  833 7 >>> Analytic Trigonometry
  834 7.1 >>> Trigonometric Identities
  835 7.2 >>> Addition and Subtraction Formulas
  836 7.3 >>> Double-Angle, Half-Angle, and Sum-Product Formulas
  837 7.4 >>> Inverse Trigonometric Functions
  838 7.5 >>> Trigonometric Equations
  839 
  840 8 >>> Polar Coordinates and Vectors
  841 8.1 >>> Polar Coordinates
  842 8.2 >>> Graphs of Polar Equations
  843 8.3 >>> Polar Form of Complex Numbers; DeMoivre's Theorem
  844 8.4 >>> Vectors
  845 8.5 >>> The Dot Product
  846 
  847 9 >>> Systems of Equations and Inequalities
  848 9.1 >>> Systems of Equations
  849 9.2 >>> Systems of Linear Equations in Two Variables
  850 9.3 >>> Systems of Linear Equations in Several Variables
  851 9.4 >>> Systems of Linear Equations: Matrices
  852 9.5 >>> The Algebra of Matrices
  853 9.6 >>> Inverses of Matrices and Matrix Equations
  854 9.7 >>> Determinants and Cramer's Rule
  855 9.8 >>> Partial Fractions
  856 9.9 >>> Systems of Inequalities
  857 
  858 10 >>> Analytic Geometry
  859 10.1 >>> Parabolas
  860 10.2 >>> Ellipses
  861 10.3 >>> Hyperbolas
  862 10.4 >>> Shifted Conics
  863 10.5 >>> Rotation of Axes
  864 10.6 >>> Polar Equations of Conics
  865 10.7 >>> Plane Curves and Parametric Equations
  866 
  867 11 >>> Sequences and Series
  868 11.1 >>> Sequences and Summation Notation
  869 11.2 >>> Arithmetic Sequences
  870 11.3 >>> Geometric Sequences
  871 11.4 >>> Mathematics of Finance
  872 11.5 >>> Mathematical Induction
  873 11.6 >>> The Binomial Theorem
  874 
  875 12 >>> Limits: A Preview of Calculus
  876 12.1 >>> Finding Limits Numerically and Graphically
  877 12.2 >>> Finding Limits Algebraically
  878 12.3 >>> Tangent Lines and Derivatives
  879 12.4 >>> Limits at Infinity: Limits of Sequences
  880 12.5 >>> Areas
  881 
  882 TitleText('Discrete Mathematics')
  883 EditionText('4')
  884 AuthorText('Rosen')
  885 
  886 
  887 1 >>> The Foundations: Logic, Sets, and Functions
  888 1.1 >>> Logic
  889 1.2 >>> Propositional Equivalences
  890 1.3 >>> Predicates and Quantifiers
  891 1.4 >>> Sets
  892 1.5 >>> Set Operations
  893 1.6 >>> Functions
  894 1.7 >>> Sequences and Summations
  895 1.8 >>> The Growth Functions
  896 
  897 2 >>> The Fundamentals: Algorithms, the Integers, and Matrices
  898 2.1 >>> Algorithms
  899 2.2 >>> Complexity of Algorithms
  900 2.3 >>> The Integers and Division
  901 2.4 >>> Integers and Algorithms
  902 2.5 >>> Applications of Number Theory
  903 2.6 >>> Matrices
  904 
  905 3 >>> Mathematical Reasoning
  906 
  907 3.1 >>> Methods of Proof
  908 3.2 >>> Mathematical Induction
  909 3.3 >>> Recursive Definitions
  910 3.4 >>> Recursive Algorithms
  911 3.5 >>> Program Correctness
  912 
  913 4 >>> Counting
  914 4.1 >>> The Basics of Counting
  915 4.2 >>> The Pigeonhole Principle
  916 4.3 >>> Permutations and Combinations
  917 4.4 >>> Discrete Probability
  918 4.5 >>> Probability Theory
  919 4.6 >>> Generalized Permutations and Combinations
  920 4.7 >>> Generating Permutations and Combinations
  921 
  922 5 >>> Advanced Counting Techniques
  923 5.1 >>> Recurrence Relations
  924 5.2 >>> Solving Recurrence Relations
  925 5.3 >>> Divide-and-Conquer Relations
  926 5.4 >>> Generating Functions
  927 5.5 >>> Inclusion-Exclusion
  928 5.6 >>> Applications of Inclusion-Exclusion
  929 
  930 6 >>> Relations
  931 6.1 >>> Relations and Their Properties
  932 6.2 >>> n-ary Relations and Their Applications
  933 6.3 >>> Representing Relations
  934 6.4 >>> Closures of Relations
  935 6.5 >>> Equivalence Relations
  936 6.6 >>> Partial Orderings
  937 
  938 7 >>> Graphs
  939 7.1 >>> Introduction to Graphs
  940 7.2 >>> Graph Terminology
  941 7.3 >>> Representing Graphs and Graph Isomorphism
  942 7.4 >>> Connectivity
  943 7.5 >>> Euler and Hamilton Paths
  944 7.6 >>> Shortest Path Problems
  945 7.7 >>> Planar Graphs
  946 7.8 >>> Graph Coloring
  947 
  948 8 >>> Trees
  949 8.1 >>> Introduction to Trees
  950 8.2 >>> Applications of Trees
  951 8.3 >>> Tree Traversal
  952 8.4 >>> Trees and Sorting
  953 8.5 >>> Spanning Trees
  954 8.6 >>> Minimum Spanning Trees
  955 
  956 9 >>> Boolean Algebra
  957 9.1 >>> Boolean Functions
  958 9.2 >>> Representing Boolean Functions
  959 9.3 >>> Logic Gates
  960 9.4 >>> Minimization of Circuits
  961 
  962 10 >>> Modeling Computation
  963 10.1 >>> Languages and Grammars
  964 10.2 >>> Finite-State Machines with Output
  965 10.3 >>> Finite-State Machines with No Output
  966 10.4 >>> Language Recognition
  967 10.5 >>> Turing Machines
  968 
  969 11 >>> Appendix: Exponential and Logarithmic Functions
  970 12 >>> Appendix: Pseudocode
  971 
  972 TitleText('Complex Analysis')
  973 EditionText('3')
  974 AuthorText('Saff, Snider')
  975 
  976 1 >>> Complex Numbers
  977 1.1 >>> The Algebra of Complex Numbers
  978 1.2 >>> Point Representation of Complex Numbers
  979 1.3 >>> Vectors and Polar Forms
  980 1.4 >>> The Complex Exponential
  981 1.5 >>> Powers and Roots
  982 1.6 >>> Planar Sets
  983 1.7 >>> The Riemann Sphere and Stereographic Projection
  984 
  985 2 >>> Analytic Functions
  986 2.1 >>> Functions of a Complex Variable
  987 2.2 >>> Limits and Continuity
  988 2.3 >>> Analyticity
  989 2.4 >>> The Cauchy-Riemann Equations
  990 2.5 >>> Harmonic Functions
  991 2.6 >>> Steady-State Temperature as a Harmonic Function
  992 2.7 >>> Iterated Maps: Julia and Mandelbrot Sets
  993 
  994 3 >>> Elementary Functions
  995 3.1 >>> Polynomials and Rational Functions
  996 3.2 >>> The Exponential, Trigonometric, and Hyperbolic Functions
  997 3.3 >>> The Logarithmic Function
  998 3.4 >>> Washers, Wedges, and Walls
  999 3.5 >>> Complex Powers and Inverse Trigonometric Functions
 1000 3.6 >>> Application to Oscillating Systems
 1001 
 1002 4 >>> Complex Integration
 1003 4.1 >>> Contours
 1004 4.2 >>> Contour Integrals
 1005 4.3 >>> Independence of Path
 1006 4.4 >>> Cauchy's Integral Theorem
 1007 4.5 >>> Deformation of Contours Approach
 1008 4.6 >>> Vector Analysis Approach
 1009 4.7 >>> Cauchy's Integral Formula and Its Consequences
 1010 4.8 >>> Bounds for Analytic Functions
 1011 4.9 >>> Applications to Harmonic Functions
 1012 
 1013 5 >>> Series Representations for Analytic Functions
 1014 5.1 >>> Sequences and Series
 1015 5.2 >>> Taylor Series
 1016 5.3 >>> Power Series
 1017 5.4 >>> Mathematical Theory of Convergence
 1018 5.5 >>> Laurent Series
 1019 5.6 >>> Zeros and Singularities
 1020 5.7 >>> The Point at Infinity
 1021 5.8 >>> Analytic Continuation
 1022 
 1023 6 >>> Residue Theory
 1024 6.1 >>> The Residue Theorem
 1025 6.2 >>> Trigonometric Integrals over [0, 2¹]
 1026 6.3 >>> Improper Integrals of Certain Functions over (--°, °)
 1027 6.4 >>> Improper Integrals Involving Trigonometric Functions
 1028 6.5 >>> Indented Contours
 1029 6.6 >>> Integrals Involving Multiple-Valued Functions
 1030 6.7 >>> The Argument Principle and Rouche's Theorem
 1031 
 1032 7 >>> Conformal Mapping
 1033 7.1 >>> Invariance of Laplace's Equation
 1034 7.2 >>> Geometric Considerations
 1035 7.3 >>> Mobius Transformations
 1036 7.4 >>> Mobius Transformations, Continued
 1037 7.5 >>> The Schwarz-Christoffel Transformation
 1038 7.6 >>> Applications in Electrostatics, Heat Flow, and Fluid Mechanics
 1039 7.7 >>> Further Physical Applications of Conformal Mapping
 1040 
 1041 8 >>> The Transforms of Applied Mathematics
 1042 8.1 >>> Fourier Series (The Finite Fourier Transform)
 1043 8.2 >>> The Fourier Transform
 1044 8.3 >>> The Laplace Transform
 1045 8.4 >>> The z-Transform
 1046 8.5 >>> Cauchy Integrals and the Hilbert Transform
 1047 
 1048 9 >>> Appendix A: Numerical Construction of Conformal Maps
 1049 9.1 >>> The Schwarz-Christoffel Parameter Problem
 1050 9.2 >>> Examples
 1051 9.3 >>> Numerical Integration
 1052 9.4 >>> Conformal Mapping of Smooth Domains
 1053 9.5 >>> Conformal Mapping Software
 1054 
 1055 10 >>> Appendix B: Table of Conformal Mappings
 1056 10.1 >>> Mobius Transformations
 1057 10.2 >>> Other Transformations
 1058 
 1059 TitleText('Calculus: Early Transcendentals')
 1060 EditionText('5')
 1061 AuthorText('Stewart')
 1062 
 1063 1 >>> Functions and Models
 1064 1.1 >>> Four Ways to Represent a Function
 1065 1.2 >>> Mathematical Models: A Catalog of Essential Functions
 1066 1.3 >>> New Functions from Old Functions
 1067 1.4 >>> Graphing Calculators and Computers
 1068 1.5 >>> Exponential Functions
 1069 1.6 >>> Inverse Functions and Logarithms
 1070 
 1071 2 >>> Limits and Derivatives
 1072 2.1 >>> The Tangent and Velocity Problems
 1073 2.2 >>> The Limit of a Function
 1074 2.3 >>> Calculating Limits Using the Limit Laws
 1075 2.4 >>> The Precise Definition of a Limit
 1076 2.5 >>> Continuity
 1077 2.6 >>> Limits at Infinity; Horizontal Asymptotes
 1078 2.7 >>> Tangents, Velocities, and Other Rates of Change
 1079 2.8 >>> Derivatives
 1080 2.9 >>> The Derivative as a Function
 1081 
 1082 3 >>> Differentiation Rules
 1083 3.1 >>> Derivatives of Polynomials and Exponential Functions
 1084 3.2 >>> The Product and Quotient Rules
 1085 3.3 >>> Rates of Change in the Natural and Social Sciences
 1086 3.4 >>> Derivatives of Trigonometric Functions
 1087 3.5 >>> The Chain Rule
 1088 3.6 >>> Implicit Differentiation
 1089 3.7 >>> Higher Derivatives
 1090 3.8 >>> Derivatives of Logarithmic Functions
 1091 3.9 >>> Hyperbolic Functions
 1092 3.10 >>> Related Rates
 1093 3.11 >>> Linear Approximations and Differentials
 1094 
 1095 4 >>> Applications of Differentiation
 1096 4.1 >>> Maximum and Minimum Values
 1097 4.2 >>> The Mean Value Theorem
 1098 4.3 >>> How Derivatives Affect the Shape of a Graph
 1099 4.4 >>> Indeterminate Forms and L'Hospital's Rule
 1100 4.5 >>> Summary of Curve Sketching
 1101 4.6 >>> Graphing with Calculus and Calculators
 1102 4.7 >>> Optimization Problems
 1103 4.8 >>> Applications to Business and Economics
 1104 4.9 >>> Newton's Method
 1105 4.10 >>> Antiderivatives
 1106 
 1107 5 >>> Integrals
 1108 5.1 >>> Areas and Distances
 1109 5.2 >>> The Definite Integral
 1110 5.3 >>> The Fundamental Theorem of Calculus
 1111 5.4 >>> Indefinite Integrals and the Net Change Theorem
 1112 5.5 >>> The Substitution Rule
 1113 5.6 >>> The Logarithm Defined as an Integral
 1114 
 1115 6 >>> Applications of Integration
 1116 6.1 >>> Areas between Curves
 1117 6.2 >>> Volumes
 1118 6.3 >>> Volumes by Cylindrical Shells
 1119 6.4 >>> Work
 1120 6.5 >>> Average Value of a Function
 1121 
 1122 7 >>> Techniques of Integration
 1123 7.1 >>> Integration by Parts
 1124 7.2 >>> Trigonometric Integrals
 1125 7.3 >>> Trigonometric Substitution
 1126 7.4 >>> Integration of Rational Functions by Partial Fractions
 1127 7.5 >>> Strategy for Integration
 1128 7.6 >>> Integration Using Tables and Computer Algebra Systems
 1129 7.7 >>> Approximate Integration
 1130 7.8 >>> Improper Integrals
 1131 
 1132 8 >>> Further Applications of Integration
 1133 8.1 >>> Arc Length
 1134 8.2 >>> Area of a Surface of Revolution
 1135 8.3 >>> Applications to Physics and Engineering
 1136 8.4 >>> Applications to Economics and Biology
 1137 8.5 >>> Probability
 1138 
 1139 9 >>> Differential Equations
 1140 9.1 >>> Modeling with Differential Equations
 1141 9.2 >>> Direction Fields and Euler's Method
 1142 9.3 >>> Separable Equations
 1143 9.4 >>> Exponential Growth and Decay
 1144 9.5 >>> The Logistic Equation
 1145 9.6 >>> Linear Equations
 1146 9.7 >>> Predator-Prey Systems
 1147 
 1148 10 >>> Parametric Equations and Polar Coordinates
 1149 10.1 >>> Curves Defined by Parametric Equations
 1150 10.2 >>> Calculus with Parametric Curves
 1151 10.3 >>> Polar Coordinates
 1152 10.4 >>> Areas and Lengths in Polar Coordinates
 1153 10.5 >>> Conic Sections
 1154 10.6 >>> Conic Sections in Polar Coordinates
 1155 
 1156 11 >>> Infinite Sequences and Series
 1157 11.1 >>> Sequences
 1158 11.2 >>> Series
 1159 11.3 >>> The Integral Test and Estimates of Sums
 1160 11.4 >>> The Comparison Tests
 1161 11.5 >>> Alternating Series
 1162 11.6 >>> Absolute Convergence and the Ratio and Root Tests
 1163 11.7 >>> Strategy for Testing Series
 1164 11.8 >>> Power Series
 1165 11.9 >>> Representations of Functions as Power Series
 1166 11.10 >>> Taylor and Maclaurin Series
 1167 11.11 >>> The Binomial Series
 1168 11.12 >>> Applications of Taylor Polynomials
 1169 
 1170 12 >>> Vectors and the Geometry of Space
 1171 12.1 >>> Three-Dimensional Coordinate Systems
 1172 12.2 >>> Vectors
 1173 12.3 >>> The Dot Product
 1174 12.4 >>> The Cross Product
 1175 12.5 >>> Equations of Lines and Planes
 1176 12.6 >>> Cylinders and Quadric Surfaces
 1177 12.7 >>> Cylindrical and Spherical Coordinates
 1178 
 1179 13 >>> Vector Functions
 1180 13.1 >>> Vector Functions and Space Curves
 1181 13.2 >>> Derivatives and Integrals of Vector Functions
 1182 13.3 >>> Arc Length and Curvature
 1183 13.4 >>> Motion in Space: Velocity and Acceleration
 1184 
 1185 14 >>> Partial Derivatives
 1186 14.1 >>> Functions of Several Variables
 1187 14.2 >>> Limits and Continuity
 1188 14.3 >>> Partial Derivatives
 1189 14.4 >>> Tangent Planes and Linear Approximations
 1190 14.5 >>> The Chain Rule
 1191 14.6 >>> Directional Derivatives and the Gradient Vector
 1192 14.7 >>> Maximum and Minimum Values
 1193 14.8 >>> Lagrange Multipliers
 1194 
 1195 15 >>> Multiple Integrals
 1196 15.1 >>> Double Integrals over Rectangles
 1197 15.2 >>> Iterated Integrals
 1198 15.3 >>> Double Integrals over General Regions
 1199 15.4 >>> Double Integrals in Polar Coordinates
 1200 15.5 >>> Applications of Double Integrals
 1201 15.6 >>> Surface Area
 1202 15.7 >>> Triple Integrals
 1203 15.8 >>> Triple Integrals in Cylindrical and Spherical Coordinates
 1204 15.9 >>> Change of Variables in Multiple Integrals
 1205 
 1206 16 >>> Vector Calculus
 1207 16.1 >>> Vector Fields
 1208 16.2 >>> Line Integrals
 1209 16.3 >>> The Fundamental Theorem for Line Integrals
 1210 16.4 >>> Green's Theorem
 1211 16.5 >>> Curl and Divergence
 1212 16.6 >>> Parametric Surfaces and their Areas
 1213 16.7 >>> Surface Integrals
 1214 16.8 >>> Stokes' Theorem
 1215 16.9 >>> The Divergence Theorem
 1216 16.10 >>> Summary
 1217 
 1218 17 >>> Second-Order Differential Equations
 1219 17.1 >>> Second-Order Linear Equations
 1220 17.2 >>> Nonhomogeneous Linear Equations
 1221 17.3 >>> Applications of Second-Order Differential Equations
 1222 17.4 >>> Series Solutions
 1223 
 1224 18 >>> Appendix A: Numbers, Inequalities, and Absolute Values
 1225 19 >>> Appendix B: Coordinate Geometry and Lines
 1226 20 >>> Appendix C: Graphs of Second-Degree Equations
 1227 21 >>> Appendix D: Trigonometry
 1228 22 >>> Appendix E: Sigma Notation
 1229 23 >>> Appendix F: Proofs of Theorems
 1230 24 >>> Appendix G: Complex Numbers
 1231 25 >>> Appendix H: Answers to Odd-Numbered Exercises
 1232 
 1233 
 1234 TitleText('Calculus: Early Transcendentals')
 1235 EditionText('6')
 1236 AuthorText('Stewart')
 1237 
 1238 1 >>> Functions and Models
 1239 1.1 >>> Four Ways to Represent a Function
 1240 1.2 >>> Mathematical Models: A Catalog of Essential Functions
 1241 1.3 >>> New Functions from Old Functions
 1242 1.4 >>> Graphing Calculators and Computers
 1243 1.5 >>> Exponential Functions
 1244 1.6 >>> Inverse Functions and Logarithms
 1245 
 1246 2 >>> Limits and Derivatives
 1247 2.1 >>> The Tangent and Velocity Problems
 1248 2.2 >>> The Limit of a Function
 1249 2.3 >>> Calculating Limits Using the Limit Laws
 1250 2.4 >>> The Precise Definition of a Limit
 1251 2.5 >>> Continuity
 1252 2.6 >>> Limits at Infinity; Horizontal Asymptotes
 1253 2.7 >>> Derivatives and Rates of Change
 1254 2.8 >>> The Derivative as a Function
 1255 
 1256 3 >>> Differentiation Rules
 1257 3.1 >>> Derivatives of Polynomials and Exponential Functions
 1258 3.2 >>> The Product and Quotient Rules
 1259 3.3 >>> Derivatives of Trigonometric Functions
 1260 3.4 >>> The Chain Rule
 1261 3.5 >>> Implicit Differentiation
 1262 3.6 >>> Derivatives of Logarithmic Functions
 1263 3.7 >>> Rates of Change in the Natural and Social Sciences
 1264 3.8 >>> Exponential Growth and Decay
 1265 3.9 >>> Related Rates
 1266 3.10 >>> Linear Approximations and Differentials
 1267 3.11 >>> Hyperbolic Functions
 1268 
 1269 4 >>> Applications of Differentiation
 1270 4.1 >>> Maximum and Minimum Values
 1271 4.2 >>> The Mean Value Theorem
 1272 4.3 >>> How Derivatives Affect the Shape of a Graph
 1273 4.4 >>> Indeterminate Forms and L'Hospital's Rule
 1274 4.5 >>> Summary of Curve Sketching
 1275 4.6 >>> Graphing with Calculus and Calculators
 1276 4.7 >>> Optimization Problems
 1277 4.8 >>> Newton's Method
 1278 4.9 >>> Antiderivatives
 1279 
 1280 5 >>> Integrals
 1281 5.1 >>> Areas and Distances
 1282 5.2 >>> The Definite Integral
 1283 5.3 >>> The Fundamental Theorem of Calculus
 1284 5.4 >>> Indefinite Integrals and the Net Change Theorem
 1285 5.5 >>> The Substitution Rule
 1286 
 1287 6 >>> Applications of Integration
 1288 6.1 >>> Areas between Curves
 1289 6.2 >>> Volumes
 1290 6.3 >>> Volumes by Cylindrical Shells
 1291 6.4 >>> Work
 1292 6.5 >>> Average Value of a Function
 1293 
 1294 7 >>> Techniques of Integration
 1295 7.1 >>> Integration by Parts
 1296 7.2 >>> Trigonometric Integrals
 1297 7.3 >>> Trigonometric Substitution
 1298 7.4 >>> Integration of Rational Functions by Partial Fractions
 1299 7.5 >>> Strategy for Integration
 1300 7.6 >>> Integration Using Tables and Computer Algebra Systems
 1301 7.7 >>> Approximate Integration
 1302 7.8 >>> Improper Integrals
 1303 
 1304 8 >>> Further Applications of Integration
 1305 8.1 >>> Arc Length
 1306 8.2 >>> Area of a Surface of Revolution
 1307 8.3 >>> Applications to Physics and Engineering
 1308 8.4 >>> Applications to Economics and Biology
 1309 8.5 >>> Probability
 1310 
 1311 9 >>> Differential Equations
 1312 9.1 >>> Modeling with Differential Equations
 1313 9.2 >>> Direction Fields and Euler's Method
 1314 9.3 >>> Separable Equations
 1315 9.4 >>> Models for Population Growth
 1316 9.5 >>> Linear Equations
 1317 9.6 >>> Predator-Prey Systems
 1318 
 1319 10 >>> Parametric Equations and Polar Coordinates
 1320 10.1 >>> Curves Defined by Parametric Equations
 1321 10.2 >>> Calculus with Parametric Curves
 1322 10.3 >>> Polar Coordinates
 1323 10.4 >>> Areas and Lengths in Polar Coordinates
 1324 10.5 >>> Conic Sections
 1325 10.6 >>> Conic Sections in Polar Coordinates
 1326 
 1327 11 >>> Infinite Sequences and Series
 1328 11.1 >>> Sequences
 1329 11.2 >>> Series
 1330 11.3 >>> The Integral Test and Estimates of Sum
 1331 11.4 >>> The Comparison Tests
 1332 11.5 >>> Alternating Series
 1333 11.6 >>> Absolute Convergence and the Ratio and Root Tests
 1334 11.7 >>> Strategy for Testing Series
 1335 11.8 >>> Power Series
 1336 11.9 >>> Representations of Functions as Power Series
 1337 11.10 >>> Taylor and Maclaurin Series
 1338 11.11 >>> Applications of Taylor Polynomials
 1339 
 1340 12 >>> Vectors and the Geometry of Space
 1341 12.1 >>> Three-Dimensional Coordinate Systems
 1342 12.2 >>> Vectors
 1343 12.3 >>> The Dot Product
 1344 12.4 >>> The Cross Product
 1345 12.5 >>> Equations of Lines and Planes
 1346 12.6 >>> Cylinders and Quadric Surfaces
 1347 
 1348 13 >>> Vector Functions
 1349 13.1 >>> Vector Functions and Space Curves
 1350 13.2 >>> Derivatives and Integrals of Vector Functions
 1351 13.3 >>> Arc Length and Curvature
 1352 13.4 >>> Motion in Space: Velocity and Acceleration
 1353 
 1354 14 >>> Partial Derivatives
 1355 14.1 >>> Functions of Several Variables
 1356 14.2 >>> Limits and Continuity
 1357 14.3 >>> Partial Derivatives
 1358 14.4 >>> Tangent Planes and Linear Approximations
 1359 14.5 >>> The Chain Rule
 1360 14.6 >>> Directional Derivatives and the Gradient Vector
 1361 14.7 >>> Maximum and Minimum Values
 1362 14.8 >>> Lagrange Multipliers
 1363 
 1364 15 >>> Multiple Integrals
 1365 15.1 >>> Double Integrals over Rectangles
 1366 15.2 >>> Iterated Integrals
 1367 15.3 >>> Double Integrals over General Regions
 1368 15.4 >>> Double Integrals in Polar Coordinates
 1369 15.5 >>> Applications of Double Integrals
 1370 15.6 >>> Triple Integrals
 1371 15.7 >>> Triple Integrals in Cylindrical Coordinates
 1372 15.8 >>> Triple Integrals in Spherical Coordinates
 1373 15.9 >>> Change of Variables in Multiple Integrals
 1374 
 1375 16 >>> Vector Calculus
 1376 16.1 >>> Vector Fields
 1377 16.2 >>> Line Integrals
 1378 16.3 >>> The Fundamental Theorem for Line Integrals
 1379 16.4 >>> Green's Theorem
 1380 16.5 >>> Curl and Divergence
 1381 16.6 >>> Parametric Surfaces and their Areas
 1382 16.7 >>> Surface Integrals
 1383 16.8 >>> Stokes' Theorem
 1384 16.9 >>> The Divergence Theorem
 1385 16.10 >>> Summary
 1386 
 1387 17 >>> Second-Order Differential Equations
 1388 17.1 >>> Second-Order Linear Equations
 1389 17.2 >>> Nonhomogeneous Linear Equations
 1390 17.3 >>> Applications of Second-Order Differential Equations
 1391 17.4 >>> Series Solutions
 1392 
 1393 18 >>> Appendix A:  Numbers, Inequalities, and Absolute Values
 1394 19 >>> Appendix B: Coordinate Geometry and Lines
 1395 20 >>> Appendix C: Graphs of Second-Degree Equations
 1396 21 >>> Appendix D: Trigonometry
 1397 22 >>> Appendix E: Sigma Notation
 1398 23 >>> Appendix F: Proofs of Theorems
 1399 24 >>> Appendix G: The Logarithm Defined as an Integral
 1400 25 >>> Appendix H: Complex Numbers
 1401 26 >>> Appendix I: Answers to Odd-Numbered Exercises
 1402 
 1403 TitleText('College Algebra')
 1404 EditionText('3')
 1405 AuthorText('Stewart, Redlin, Watson')
 1406 
 1407 1 >>> Basic Algebra
 1408 1.1 >>> What is Algebra?
 1409 1.2 >>> Real Numbers
 1410 1.3 >>> Exponentials and Radicals
 1411 1.4 >>> Algebraic Equations
 1412 1.5 >>> Fractional Expressions
 1413 1.6 >>> Basic Equations
 1414 2 >>> Coordinates and Graphs
 1415 2.1 >>> The Coordinate Plane
 1416 2.2 >>> Graphs of Equations
 1417 2.3 >>> Graphing Calculators and Computers
 1418 2.4 >>> Lines
 1419 3 >>> Equations and Inequalities
 1420 3.1 >>> Algebraic and Graphical Solutions of Equations
 1421 3.2 >>> Modeling with Equations
 1422 3.3 >>> Quadratic Equations
 1423 3.4 >>> Complex Numbers
 1424 3.5 >>> Other Equations
 1425 3.6 >>> Linear Inequalities
 1426 3.7 >>> Nonlinear Inequalities
 1427 3.8 >>> Absolute Value
 1428 4 >>> Functions
 1429 4.1 >>> What is a Function?
 1430 4.2 >>> Graphs of Functions
 1431 4.3 >>> Applied Functions: Variation
 1432 4.4 >>> Average Rate of Change: Increasing and Decreasing Functions
 1433 4.5 >>> Transformations of Functions
 1434 4.6 >>> Extreme Values of Functions
 1435 4.7 >>> Combining Functions
 1436 4.8 >>> One-to-One Functions and Their Inverses
 1437 5 >>> Polynomial and Rational Functions
 1438 5.1 >>> Polynomial Functions and Their Graphs
 1439 5.2 >>> Dividing Polynomials
 1440 5.3 >>> Real Zeros of Polynomials
 1441 5.4 >>> The Fundamental Theorem of Algebra
 1442 5.5 >>> Rational Functions
 1443 6 >>> Exponential and Logarithmic Functions
 1444 6.1 >>> Exponential Functions
 1445 6.2 >>> The Natural Exponential Function
 1446 6.3 >>> Logistic Functions
 1447 6.4 >>> Laws of Logarithms
 1448 6.5 >>> Exponential and Logarithmic Equations
 1449 6.6 >>> Applications of Exponential and Logarithmic Functions
 1450 7 >>> Systems of Equations and Inequalities
 1451 7.1 >>> Systems of Equations
 1452 7.2 >>> Pairs of Lines
 1453 7.3 >>> Systems of Linear Equations
 1454 7.4 >>> The Algebra of Matrices
 1455 7.5 >>> Inverses of Matrices and Matrix Equations
 1456 7.6 >>> Determinants and Cramer's Rule
 1457 7.7 >>> Systems of Inequalities
 1458 7.8 >>> Partial Fractions
 1459 8 >>> Conic Sections
 1460 8.1 >>> Parabolas
 1461 8.2 >>> Ellipses
 1462 8.3 >>> Hyperbolas
 1463 8.4 >>> Shifted Conics
 1464 9 >>> Sequences and Series
 1465 9.1 >>> Sequences and Summation Notation
 1466 9.2 >>> Arithmetic Sequences
 1467 9.3 >>> Geometric Sequences
 1468 9.4 >>> Annuities and Installment Buying
 1469 9.5 >>> Mathematical Induction
 1470 9.6 >>> The Binomial Theorem
 1471 10 >>> Counting and Probability
 1472 10.1 >>> Counting Principles
 1473 10.2 >>> Permutations and Combinations
 1474 10.3 >>> Probability
 1475 10.4 >>> Expected Value
 1476 
 1477 TitleText('Precalculus')
 1478 EditionText('3')
 1479 AuthorText('Stewart, Redlin, Watson')
 1480 
 1481 1 >>> Fundamentals
 1482 1.1 >>> Real Numbers
 1483 1.2 >>> Exponents and Radicals
 1484 1.3 >>> Algebraic Expressions
 1485 1.4 >>> Fractional Expressions
 1486 1.5 >>> Equations
 1487 1.6 >>> Problem Solving with Equations
 1488 1.7 >>> Inequalities
 1489 1.8 >>> Coordinate Geometry
 1490 1.9 >>> Graphing Calculators and Computers
 1491 1.10 >>> Lines
 1492 2 >>> Functions
 1493 2.1 >>> What is a Function?
 1494 2.1 >>> Graphs of Functions
 1495 2.3 >>> Applied Functions
 1496 2.4 >>> Transformations of Functions
 1497 2.5 >>> Extreme Values of Functions
 1498 2.6 >>> Combining Functions
 1499 2.7 >>> One-to-One Functions and Their Inverses
 1500 3 >>> Polynomials and Rational Functions
 1501 3.1 >>> Polynomial Functions and Their Graphs
 1502 3.2 >>> Real Zeros of Polynomials
 1503 3.3 >>> Complex Numbers
 1504 3.4 >>> Complex Roots and The Fundamental Theorem of Algebra
 1505 3.5 >>> Rational Functions
 1506 4 >>> Exponential and Logarithmic Functions
 1507 4.1 >>> Exponential Functions
 1508 4.2 >>> The Natural Exponential Function
 1509 4.3 >>> Logarithmic Functions
 1510 4.4 >>> Laws of Logarithms
 1511 4.5 >>> Exponential and Logarithmic Equations
 1512 4.6 >>> Applications of Exponential and Logarithmic Equations
 1513 5 >>> Trigonometric Functions
 1514 5.1 >>> The Unit Circle
 1515 5.2 >>> Trigonometric Functions of Real Numbers
 1516 5.3 >>> Trigonometric Graphs
 1517 5.4 >>> More Trigonometric Graphs
 1518 6 >>> Trigonometric Functions of Angles
 1519 6.1 >>> Angle Measure
 1520 6.2 >>> Trigonometry of Right Triangles
 1521 6.3 >>> Trigonometric Functions of Angles
 1522 6.4 >>> The Law of Sines
 1523 6.5 >>> The Law of Cosines
 1524 7 >>> Analytic Trigonometry
 1525 7.1 >>> Trigonometric Identities
 1526 7.2 >>> Addition and Subtraction Formulas
 1527 7.3 >>> Double-Angle, Half-Angle, and Product-Sum Formulas
 1528 7.4 >>> Inverse Trigonometric Functions
 1529 7.5 >>> Trigonometric Equations
 1530 7.6 >>> Trigonometric Form of Complex Numbers; DeMoivre's Theorem
 1531 7.7 >>> Vectors
 1532 8 >>> Systems of Equations and Inequalities
 1533 8.1 >>> Systems of Equations
 1534 8.2 >>> Pairs of Lines
 1535 8.3 >>> Systems of Linear Equations
 1536 8.4 >>> The Algebra of Matrices
 1537 8.5 >>> Inverses of Matrices and Matrix Equations
 1538 8.6 >>> Determinants and Cramer's Rule
 1539 8.7 >>> Systems of Inequalities
 1540 8.8 >>> Partial Fractions
 1541 9 >>> Topics in Analytic Geometry
 1542 9.1 >>> Parabolas
 1543 9.2 >>> Ellipses
 1544 9.3 >>> Hyperbolas
 1545 9.4 >>> Shifted Conics
 1546 9.5 >>> Rotation of Axes
 1547 9.6 >>> Polar Coordinates
 1548 9.7 >>> Polar Equations of Conics
 1549 9.8 >>> Parametric Equations
 1550 10 >>> Sequences and Series
 1551 10.1 >>> Sequences and Summation Notation
 1552 10.2 >>> Arithmetic Sequences
 1553 10.3 >>> Geometric Sequences
 1554 10.4 >>> Annuities and Installment Buying
 1555 10.5 >>> Mathematical Induction
 1556 10.6 >>> The Binomial Theorem
 1557 11 >>> Counting and Probability
 1558 11.1 >>> Counting Principles
 1559 11.2 >>> Permutations and Combinations
 1560 11.3 >>> Probability
 1561 11.4 >>> Expected Value
 1562