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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 :	jj	467	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 :	jj	468
58 :	jj	467	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 :	jj	468
73 :	jj	467	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 :	jj	468
86 :	jj	467	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 :	jj	468
100 :	jj	467	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 :	jj	468
113 :	jj	467	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 :	jj	468
122 :	jj	467	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 :	jj	468
130 :	jj	467	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 :	jj	468
141 :	jj	467	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 :	jj	468
152 :	jj	467	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 :	jj	468
166 :	jj	467	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 :	jj	468
183 :			12 >>> Considerations in Designing Experiments
184 :	jj	467	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 :	jj	468
190 :	jj	467	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 :	jj	468
206 :	jj	467	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 :	jj	468
215 :			15 >>> Nonparametric Statistics
216 :	jj	467	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 :	jj	468
228 :	jj	472	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 :	jj	468
241 :	jj	472	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 :	jj	468	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 :			TitleText('College Algebra')
426 :			EditionText('4')
427 :			AuthorText('Stewart, Redlin, Watson')
428 :
429 :	jj	472	0 >>> Prerequisites
430 :			0.1 >>> Modeling the Real World
431 :			0.2 >>> Real Numbers
432 :			0.3 >>> Integer Exponents
433 :			0.4 >>> Rational Exponents and Radicals
434 :			0.5 >>> Algebraic Expressions
435 :			0.6 >>> Factoring
436 :			0.7 >>> Rational Expressions
437 :
438 :	jj	468	1 >>> Equations and Inequalities
439 :			1.1 >>> Basic Equations
440 :			1.2 >>> Modeling with Equations
441 :			1.3 >>> Quadratic Equations
442 :			1.4 >>> Complex Numbers
443 :			1.5 >>> Other Types of Equations
444 :			1.6 >>> Inequalities
445 :			1.7 >>> Absolute Value Equations and Inequalities
446 :	jj	472
447 :	jj	468	2 >>> Coordinates and Graphs
448 :			2.1 >>> The Coordinate Plane
449 :			2.2 >>> Graphs of Equations in Two Variables
450 :			2.3 >>> Graphing Calculators; Solving Equations and Inequalitie Graphically
451 :			2.4 >>> Lines
452 :			2.5 >>> Modeling: Variation
453 :	jj	472
454 :	jj	468	3 >>> Functions
455 :			3.1 >>> What Is a Function?
456 :			3.2 >>> Graphs of Functions
457 :			3.3 >>> Increasing and Decreasing Functions; Average Rate of Change
458 :			3.4 >>> Transformations of Functions
459 :			3.5 >>> Quadratic Functions; Maxima and Minima
460 :			3.6 >>> Combining Functions
461 :			3.7 >>> One-to-One Functions and Their Inverses
462 :	jj	472
463 :	jj	468	4 >>> Polynomial and Rational Functions
464 :			4.1 >>> Polynomial Functions and Their Graphs
465 :			4.2 >>> Dividing Polynomials
466 :			4.3 >>> Real Zeros of Polynomials
467 :			4.4 >>> Complex Zeros and the Fundamental Theorem of Algebra
468 :			4.5 >>> Rational Functions
469 :			5 >>> Exponential and Logarithmic Functions
470 :			5.1 >>> Exponential Functions
471 :			5.2 >>> Logarithmic Functions
472 :			5.3 >>> Laws of Logarithms
473 :			5.4 >>> Exponential and Logarithmic Equations
474 :			5.5 >>> Modeling with Exponential and Logarithmic Functions
475 :	jj	472
476 :	jj	468	6 >>> Systems of Equations and Inequalities
477 :			6.1 >>> Systems of Equations
478 :			6.2 >>> Systems of Linear Equations in Two Variables
479 :			6.3 >>> Systems of Linear Equations in Several Variables
480 :			6.4 >>> Systems of Inequalities
481 :			6.5 >>> Partial Fractions
482 :	jj	472
483 :	jj	468	7 >>> Matrices and Determinants
484 :			7.1 >>> Matrices and Systems of Linear Equations
485 :			7.2 >>> The Algebra of Matrices
486 :			7.3 >>> Inverses of Matrices and Matrix Equations
487 :			7.4 >>> Determinants and Cramer's Rule
488 :	jj	472
489 :	jj	468	8 >>> Conic Sections
490 :			8.1 >>> Parabolas
491 :			8.2 >>> Ellipses
492 :			8.3 >>> Hyperbolas
493 :			8.4 >>> Shifted Conics
494 :	jj	472
495 :	jj	468	9 >>> Sequences and Series
496 :			9.1 >>> Sequences and Summation Notation
497 :			9.2 >>> Arithmetic Sequences
498 :			9.3 >>> Geometric Sequences
499 :			9.4 >>> Mathematics of Finance
500 :			9.5 >>> Mathematical Induction
501 :			9.6 >>> The Binomial Theorem
502 :	jj	472
503 :	jj	468	10 >>> Counting and Probability
504 :			10.1 >>> Counting Principles
505 :			10.2 >>> Permutations and Combinations
506 :			10.3 >>> Probability
507 :			10.4 >>> Binomial Probability
508 :			10.5 >>> Expected Value
509 :
510 :			TitleText('Statistics for Management and Economics')
511 :			EditionText('7')
512 :			AuthorText('Keller')
513 :
514 :			1 >>> What is Statistics?
515 :			1.1 >>> Key Statistical Concepts
516 :			1.2 >>> Statistical Applications in Business
517 :			1.3 >>> Statistics and the Computer
518 :			1.4 >>> World Wide Web and Learning Center
519 :			1.A >>> Instructions for the CD-ROM
520 :			1.B >>> Introduction to Microsoft Excel
521 :			1.C >>> Introduction to Minitab
522 :			2 >>> Graphical and Tabular Descriptive Techniques
523 :			2.1 >>> Types of Data and Information
524 :			2.2 >>> Graphical and Tabular Techniques for Nominal Data
525 :			2.3 >>> Graphical Techniques for Interval Data
526 :			2.4 >>> Describing the relationship Between Two Variables
527 :			2.5 >>> Describing Time-Series Data
528 :			3 >>> Art and Science of Graphical Presentations
529 :			3.1 >>> Graphical Excellence
530 :			3.2 >>> Graphical Deception
531 :			3.3 >>> Presenting Statistics: Written Reports and Oral Presentations
532 :			4 >>> Numerical Descriptive Techniques
533 :			4.1 >>> Measures of Central Location
534 :			4.2 >>> Measures of Variability
535 :			4.3 >>> Measures of Relative Standing and Box Plots
536 :			4.4 >>> Measures of Linear Relationship
537 :			4.5 >>> Applications in Professional Sports: Baseball
538 :			4.6 >>> Comparing Graphical and Numerical Techniques
539 :			4.7 >>> General Guidelines for Exploring Data
540 :			5 >>> Data Collection and Sampling
541 :			5.1 >>> Methods of Collecting Data
542 :			5.2 >>> Sampling
543 :			5.3 >>> Sampling Plans
544 :			5.4 >>> Sampling and Nonsampling Errors
545 :			6 >>> Probability
546 :			6.1 >>> Assigning Probability to Events
547 :			6.2 >>> Joint, Marginal, and Conditional Probability
548 :			6.3 >>> Probability Rules and Trees
549 :			6.4 >>> Bayes' Law
550 :			6.5 >>> Identifying the Correct Method
551 :			7 >>> Random Variables and Discrete Probability Distributions
552 :			7.1 >>> Random Variables and Probability Distributions
553 :			7.2 >>> Bivariate Distributions
554 :			7.3 >>> Applications in Finance: Portfolio Diversification and Asset Allocation
555 :			7.4 >>> Binomial Distribution
556 :			7.5 >>> Poisson Distribution
557 :			8 >>> Continuous Probability Distributions
558 :			8.1 >>> Probability Density Functions
559 :			8.2 >>> Normal Distribution
560 :			8.3 >>> Exponential Distribution
561 :			8.4 >>> Other Continuous Distributions
562 :			9 >>> Sampling Distributions
563 :			9.1 >>> Sampling Distribution of the Mean
564 :			9.2 >>> Sampling Distribution of a Proportion
565 :			9.3 >>> Sampling Distribution of the Difference Between Two Means
566 :			9.4 >>> From Here to Inference
567 :			10 >>> Introduction to Estimation
568 :			10.1 >>> Concepts of Estimation
569 :			10.2 >>> Estimating the Population Mean When the Population Standard Deviation is Known
570 :			10.3 >>> Selecting the Sample Size
571 :			11 >>> Introduction to Hypothesis Testing
572 :			11.1 >>> Concepts of Hypothesis Testing
573 :			11.2 >>> Testing the Population Mean When the Population Standard Deviation is Known
574 :			11.3 >>> Calculating the Probability of a Type II Error
575 :			11.4 >>> The Road Ahead
576 :			12 >>> Inference About a Population
577 :			12.1 >>> Inference About a Population Mean When the Standard Deviation is Unknown
578 :			12.2 >>> Inference about a Population Variance
579 :			12.3 >>> inference about a Population Proportion
580 :			12.4 >>> Applications in Marketing: Market Segmentation
581 :			12.5 >>> Applications in Marketing: Auditing
582 :			13 >>> Inference About Comparing Two Populations
583 :			13.1 >>> Inference about the Difference Between Two Means: Independent Samples
584 :			13.2 >>> Observational and Experimental Data
585 :			13.3 >>> Inference about the Difference Between Two Means: Matched Pairs Experiment
586 :			13.4 >>> Inference about the Ratio of Two Variances
587 :			13.5 >>> Inference about the Difference Between Two Population Proportions
588 :			13.A >>> Excel Instructions for Stacked and Unstacked Data
589 :			13.B >>> Minitab Instructions for Stacked and Unstacked Data
590 :			14 >>> Statistical Inference: Review of Chapters 12 and 13
591 :			14.1 >>> Guide to Identifying the Correct Technique: Chapters 12 and 13
592 :			15 >>> Analysis of Variance
593 :			15.1 >>> One-Way Analysis of Variance
594 :			15.2 >>> Analysis of Variance Experimental Designs
595 :			15.3 >>> Randomized Blocks (Two-Way) Analysis of Variance
596 :			15.4 >>> Two-Factor Analysis of Variance
597 :			15.5 >>> Appplications in Operations Management: Finding and Reducing Variation
598 :			15.6 >>> Multiple Comparisons
599 :			16 >>> Chi-Squared Tests
600 :			16.1 >>> Chi-Squared Goodness-of-Fit Test
601 :			16.2 >>> Chi-Squared Test of a Contingency Table
602 :			16.3 >>> Summary of Tests on Nominal Data
603 :			16.4 >>> Chi-Squared Tests of Normality
604 :			17 >>> Simple Linear Regression and Correlation
605 :			17.1 >>> Model
606 :			17.2 >>> Estimating the Coefficients
607 :			17.3 >>> Error Variable: Required Conditions
608 :			17.4 >>> Assessing the Model
609 :			17.5 >>> Applications in Finance: Market Model
610 :			17.6 >>> Using the Regression Equation
611 :			17.7 >>> Regression Diagnostics-I
612 :			18 >>> Multiple Regression
613 :			18.1 >>> Model and Required Conditions
614 :			18.2 >>> Estimating the Coefficients and Assessing the Model
615 :			18.3 >>> Regression Diagnostics-II
616 :			18.4 >>> Regression Diagnostics-III (Time Series)
617 :
618 :	jj	472	19 >>> Appendix A: Excel Troubleshooting and Detailed Instructions
619 :			20 >>> Appendix B: Minitab Detailed Instructions
620 :			21 >>> Appendix C: Approximating Means and Variances from Grouped Data
621 :			22 >>> Appendix D: Descriptive Techniques Review Exercises
622 :			23 >>> Appendix E: Couting Formulas
623 :			24 >>> Appendix F: Hypergeometric Distribution
624 :			25 >>> Appendix G: Continuous Probability Distributions: Calculus Approach
625 :			26 >>> Appendix H: Using the Laws of Expected Value and Variance to Derive the Parameters of Sampling Distributions
626 :			27 >>> Appendix I: Excel Spreadsheets for Techniques in Chapters 10-13
627 :			28 >>> Appendix K: Converting Excel's Probabilities to p-Values
628 :			29 >>> Appendix J: Excel and Minitab Instructions for Missing Data and for Recoding Data
629 :			30 >>> Appendix L: Probability of a Type II Error When Testing a Proportion
630 :			31 >>> Appendix M: Approximating p-Values from the Student t Table
631 :			32 >>> Appendix N: Probability of a Type II Error When Testing the Difference Between Two Means
632 :			33 >>> Appendix O: Probability of a Type II Erorr When Testing the Difference Between Two Proportions
633 :			34 >>> Appendix P: Bartlett's Test
634 :			35 >>> Appendix Q: Minitab Instructions for the Chi-Squared Goodness-of-Fit Test and the Test for Normality
635 :			36 >>> Appendix R: The Rule of Five
636 :			37 >>> Appendix S: Deriving the Normal Equations
637 :			38 >>> Appendix T: Szroeter's Test for Heteroscedasticity
638 :			39 >>> Appendix U: Transformations
639 :
640 :	jj	468	TitleText('Elementary Linear Algebra')
641 :
642 :			EditionText('5')
643 :
644 :			AuthorText('Larson, Edwards, Falvo')
645 :
646 :
647 :			1 >>> Systems of Linear Equations
648 :			1.1 >>> Introduction to Systems of Linear Equations
649 :			1.2 >>> Gaussian Elimination and Gauss-Jordan Elimination
650 :			1.3 >>> Applications of Systems of Linear Equations
651 :
652 :			2 >>> Matrices
653 :			2.1 >>> Operations with Matrices
654 :			2.2 >>> Properties of Matrix Operations
655 :			2.3 >>> The Inverse of a Matrix
656 :			2.4 >>> Elementary Matrices
657 :			2.5 >>> Applications of Matrix Operations
658 :
659 :			3 >>> Determinants
660 :			3.1 >>> The Determinant of a Matrix
661 :			3.2 >>> Evaluation of a Determinant Using Elementary Operations
662 :			3.3 >>> Properties of Determinants
663 :			3.4 >>> Introduction to Eigenvalues
664 :			3.5 >>> Applications of Determinants
665 :
666 :			4 >>> Vector Spaces
667 :
668 :			4.1 >>> Vectors in Rn
669 :			4.2 >>> Vector Spaces
670 :			4.3 >>> Subspaces of Vector Spaces
671 :			4.4 >>> Spanning Sets and Linear Independence
672 :			4.5 >>> Basis and Dimension
673 :			4.6 >>> Rank of a Matrix and Systems of Linear Equations
674 :			4.7 >>> Coordinates and Change of Basis
675 :			4.8 >>> Applications of Vector Spaces
676 :
677 :			5 >>> Inner Product Spaces
678 :			5.1 >>> Length and Dot Product in Rn
679 :			5.2 >>> Inner Product Spaces
680 :			5.3 >>> Orthonormal Bases: Gram-Schmidt Process
681 :			5.4 >>> Mathematical Models and Least Squares Analysis
682 :			5.5 >>> Applications of Inner Product Spaces
683 :
684 :			6 >>> Linear Transformations
685 :			6.1 >>> Introduction to Linear Transformations
686 :			6.2 >>> The Kernel and Range of a Linear Transformation
687 :			6.3 >>> Matrices for Linear Transformations
688 :			6.4 >>> Transition Matrices and Similarity
689 :			6.5 >>> Applications of Linear Transformations
690 :
691 :			7 >>> Eigenvalues and Eigenvectors
692 :			7.1 >>> Eigenvalues and Eigenvectors
693 :			7.2 >>> Diagonalization
694 :			7.3 >>> Symmetric Matrices and Orthogonal Diagonalization
695 :			7.4 >>> Applications of Eigenvalues and Eigenvectors
696 :
697 :			8 >>> Complex Vector Spaces
698 :			8.1 >>> Complex Numbers
699 :			8.2 >>> Conjugates and Division of Complex Numbers
700 :			8.3 >>> Polar Form and DeMoivre's Theorem
701 :			8.4 >>> Complex Vector Spaces and Inner Products
702 :			8.5 >>> Unitary and Hermitian Matrices
703 :
704 :			9 >>> Linear Programming
705 :			9.1 >>> Systems of Linear Inequalities
706 :			9.2 >>> Linear Programming Involving Two Variables
707 :			9.3 >>> The Simplex Method: Maximization
708 :			9.4 >>> The Simplex Method: Minimization
709 :			9.5 >>> The Simplex Method: Mixed Constraints
710 :
711 :			10 >>> Numerical Methods
712 :
713 :			10.1 >>> Gaussian Elimination with Partial Pivoting
714 :			10.2 >>> Interative Methods for Solving Linear Systems
715 :			10.3 >>> Power Method for Approximating Eigenvalues
716 :			10.4 >>> Applications of Numerical Methods
717 :
718 :	jj	472	11 >>> Appendix A: Mathematical Induction and Other Forms of Proofs
719 :	jj	468
720 :	jj	472	12 >>> Appendix B: Computer Algebra Systems and Graphing Calculators
721 :	jj	468
722 :			TitleText('Basic Multivariable Calculus')
723 :			EditionText('3')
724 :			AuthorText('Marsden, Tromba, Weinstein')
725 :
726 :			1 >>> Algebra and Geometry of Euclidean Space
727 :			1.1 >>> Vectors in the Plane and Space
728 :			1.2 >>> The Inner Product and Distance
729 :			1.3 >>> 2 x 2 and 3 x 3 Matrices and Determinants
730 :			1.4 >>> The Cross Product and Planes
731 :			1.5 >>> n-Dimensional Euclidean Space
732 :			1.6 >>> Curves in the Plane and in Space
733 :	jj	472
734 :	jj	468	2 >>> Differentiation
735 :			2.1 >>> Graphs and Level Surfaces
736 :			2.2 >>> Partial Derivatives and Continuity
737 :			2.3 >>> Differentiability, the Derivative Matrix, and Tangent Planes
738 :			2.4 >>> The Chain Rule
739 :			2.5 >>> Gradients and Directional Derivatives
740 :			2.6 >>> Implicit Differentiation
741 :	jj	472
742 :	jj	468	3 >>> Higher Derivatives and Extrema
743 :			3.1 >>> Higher Order Partial Derivatives
744 :			3.2 >>> Taylor's Theorem
745 :			3.3 >>> Maxima and Minima
746 :			3.4 >>> Second Derivative Test
747 :			3.5 >>> Constrained Extrema and Lagrange Multipliers
748 :	jj	472
749 :	jj	468	4 >>> Vector-Valued Functions
750 :			4.1 >>> Acceleration
751 :			4.2 >>> Arc Length
752 :			4.3 >>> Vector Fields
753 :			4.4 >>> Divergence and Curl
754 :	jj	472
755 :	jj	468	5 >>> Multiple Integrals
756 :			5.1 >>> Volume and Cavalieri's Principle
757 :			5.2 >>> The Double Integral Over a Rectangle
758 :			5.3 >>> The Double Integral Over Regions
759 :			5.4 >>> Triple Integrals
760 :			5.5 >>> Change of Variables, Cylindrical and Spherical Coordinates
761 :			5.6 >>> Applications of Multiple Integrals
762 :	jj	472
763 :	jj	468	6 >>> Integrals Over Curves and Surfaces
764 :			6.1 >>> Line Integrals
765 :			6.2 >>> Parametrized Surfaces
766 :			6.3 >>> Area of a Surface
767 :			6.4 >>> Surface Integrals
768 :	jj	472
769 :	jj	468	7 >>> The Integral Theorems of Vector Analysis
770 :			7.1 >>> Green's Theorem
771 :			7.2 >>> Stokes' Theorem
772 :			7.3 >>> Gauss' Theorem
773 :			7.4 >>> Path Independence and the Fundamental Theorems of Calculus
774 :
775 :			TitleText('Precalculus')
776 :			EditionText('5')
777 :			AuthorText('Stewart, Redlin, Watson')
778 :
779 :			1 >>> Fundamentals
780 :			1.1 >>> Real Numbers
781 :			1.2 >>> Exponents and Radicals
782 :			1.3 >>> Algebraic Expressions
783 :			1.4 >>> Rational Expression
784 :			1.5 >>> Equations
785 :			1.6 >>> Modeling with Equations
786 :			1.7 >>> Inequalities
787 :			1.8 >>> Coordinate Geometry
788 :			1.9 >>> Graphing Calculators; Solving Equations and Inequalities Graphically
789 :			1.10 >>> Lines
790 :			1.11 >>> Modeling Variation
791 :	jj	472
792 :	jj	468	2 >>> Functions
793 :			2.1 >>> What is a Function?
794 :			2.2 >>> Graphs of Functions
795 :			2.3 >>> Increasing and Decreasing Functions; Average Rate of Change
796 :			2.4 >>> Transformations of Functions
797 :			2.5 >>> Quadratic Functions; Maxima and Minima
798 :			2.6 >>> Modeling with Functions
799 :			2.7 >>> Combining Functions
800 :			2.8 >>> One-to-One Functions and Their Inverses
801 :	jj	472
802 :	jj	468	3 >>> Polynomial and Rational Functions
803 :			3.1 >>> Polynomial Functions and Their Graphs
804 :			3.2 >>> Dividing Polynomials
805 :			3.3 >>> Real Zeros of Polynomials
806 :			3.4 >>> Complex Numbers
807 :			3.5 >>> Complex Zeros and the Fundamental Theorem of Algebra
808 :			3.6 >>> Rational Functions
809 :	jj	472
810 :	jj	468	4 >>> Exponential and Logarithmic Functions
811 :			4.1 >>> Exponential Functions
812 :			4.2 >>> Logarithmic Functions
813 :			4.3 >>> Laws of Logarithms
814 :			4.4 >>> Exponential and Logarithmic Equations
815 :			4.5 >>> Modeling with Exponential and Logarithmic Functions
816 :	jj	472
817 :	jj	468	5 >>> Trigonometric Functions of Real Numbers
818 :			5.1 >>> The Unit Circle
819 :			5.2 >>> Trigonometric Functions of Real Numbers
820 :			5.3 >>> Trigonometric Graphs
821 :			5.4 >>> More Trigonometric Graphs
822 :			5.5 >>> Modeling Harmonic Motion
823 :	jj	472
824 :	jj	468	6 >>> Trigonometric Functions of Angles
825 :			6.1 >>> Angle Measures
826 :			6.2 >>> Trigonometry of Right Triangles
827 :			6.3 >>> Trigonometric Functions of Angles
828 :			6.4 >>> The Law of Sines
829 :			6.5 >>> The Law of Cosines
830 :	jj	472
831 :	jj	468	7 >>> Analytic Trigonometry
832 :			7.1 >>> Trigonometric Identities
833 :			7.2 >>> Addition and Subtraction Formulas
834 :			7.3 >>> Double-Angle, Half-Angle, and Sum-Product Formulas
835 :			7.4 >>> Inverse Trigonometric Functions
836 :			7.5 >>> Trigonometric Equations
837 :	jj	472
838 :	jj	468	8 >>> Polar Coordinates and Vectors
839 :			8.1 >>> Polar Coordinates
840 :			8.2 >>> Graphs of Polar Equations
841 :			8.3 >>> Polar Form of Complex Numbers; DeMoivre's Theorem
842 :			8.4 >>> Vectors
843 :			8.5 >>> The Dot Product
844 :	jj	472
845 :	jj	468	9 >>> Systems of Equations and Inequalities
846 :			9.1 >>> Systems of Equations
847 :			9.2 >>> Systems of Linear Equations in Two Variables
848 :			9.3 >>> Systems of Linear Equations in Several Variables
849 :			9.4 >>> Systems of Linear Equations: Matrices
850 :			9.5 >>> The Algebra of Matrices
851 :			9.6 >>> Inverses of Matrices and Matrix Equations
852 :			9.7 >>> Determinants and Cramer's Rule
853 :			9.8 >>> Partial Fractions
854 :			9.9 >>> Systems of Inequalities
855 :	jj	472
856 :	jj	468	10 >>> Analytic Geometry
857 :			10.1 >>> Parabolas
858 :			10.2 >>> Ellipses
859 :			10.3 >>> Hyperbolas
860 :			10.4 >>> Shifted Conics
861 :			10.5 >>> Rotation of Axes
862 :			10.6 >>> Polar Equations of Conics
863 :			10.7 >>> Plane Curves and Parametric Equations
864 :	jj	472
865 :	jj	468	11 >>> Sequences and Series
866 :			11.1 >>> Sequences and Summation Notation
867 :			11.2 >>> Arithmetic Sequences
868 :			11.3 >>> Geometric Sequences
869 :			11.4 >>> Mathematics of Finance
870 :			11.5 >>> Mathematical Induction
871 :			11.6 >>> The Binomial Theorem
872 :	jj	472
873 :	jj	468	12 >>> Limits: A Preview of Calculus
874 :			12.1 >>> Finding Limits Numerically and Graphically
875 :			12.2 >>> Finding Limits Algebraically
876 :			12.3 >>> Tangent Lines and Derivatives
877 :			12.4 >>> Limits at Infinity: Limits of Sequences
878 :			12.5 >>> Areas
879 :
880 :			TitleText('Discrete Mathematics')
881 :			EditionText('4')
882 :			AuthorText('Rosen')
883 :
884 :
885 :			1 >>> The Foundations: Logic, Sets, and Functions
886 :			1.1 >>> Logic
887 :			1.2 >>> Propositional Equivalences
888 :			1.3 >>> Predicates and Quantifiers
889 :			1.4 >>> Sets
890 :			1.5 >>> Set Operations
891 :			1.6 >>> Functions
892 :			1.7 >>> Sequences and Summations
893 :			1.8 >>> The Growth Functions
894 :
895 :			2 >>> The Fundamentals: Algorithms, the Integers, and Matrices
896 :			2.1 >>> Algorithms
897 :			2.2 >>> Complexity of Algorithms
898 :			2.3 >>> The Integers and Division
899 :			2.4 >>> Integers and Algorithms
900 :			2.5 >>> Applications of Number Theory
901 :			2.6 >>> Matrices
902 :
903 :			3 >>> Mathematical Reasoning
904 :
905 :			3.1 >>> Methods of Proof
906 :			3.2 >>> Mathematical Induction
907 :			3.3 >>> Recursive Definitions
908 :			3.4 >>> Recursive Algorithms
909 :			3.5 >>> Program Correctness
910 :
911 :			4 >>> Counting
912 :			4.1 >>> The Basics of Counting
913 :			4.2 >>> The Pigeonhole Principle
914 :			4.3 >>> Permutations and Combinations
915 :			4.4 >>> Discrete Probability
916 :			4.5 >>> Probability Theory
917 :			4.6 >>> Generalized Permutations and Combinations
918 :			4.7 >>> Generating Permutations and Combinations
919 :
920 :			5 >>> Advanced Counting Techniques
921 :			5.1 >>> Recurrence Relations
922 :			5.2 >>> Solving Recurrence Relations
923 :			5.3 >>> Divide-and-Conquer Relations
924 :			5.4 >>> Generating Functions
925 :			5.5 >>> Inclusion-Exclusion
926 :			5.6 >>> Applications of Inclusion-Exclusion
927 :
928 :			6 >>> Relations
929 :			6.1 >>> Relations and Their Properties
930 :			6.2 >>> n-ary Relations and Their Applications
931 :			6.3 >>> Representing Relations
932 :			6.4 >>> Closures of Relations
933 :			6.5 >>> Equivalence Relations
934 :			6.6 >>> Partial Orderings
935 :
936 :			7 >>> Graphs
937 :			7.1 >>> Introduction to Graphs
938 :			7.2 >>> Graph Terminology
939 :			7.3 >>> Representing Graphs and Graph Isomorphism
940 :			7.4 >>> Connectivity
941 :			7.5 >>> Euler and Hamilton Paths
942 :			7.6 >>> Shortest Path Problems
943 :			7.7 >>> Planar Graphs
944 :			7.8 >>> Graph Coloring
945 :
946 :			8 >>> Trees
947 :			8.1 >>> Introduction to Trees
948 :			8.2 >>> Applications of Trees
949 :			8.3 >>> Tree Traversal
950 :			8.4 >>> Trees and Sorting
951 :			8.5 >>> Spanning Trees
952 :			8.6 >>> Minimum Spanning Trees
953 :
954 :			9 >>> Boolean Algebra
955 :			9.1 >>> Boolean Functions
956 :			9.2 >>> Representing Boolean Functions
957 :			9.3 >>> Logic Gates
958 :			9.4 >>> Minimization of Circuits
959 :
960 :			10 >>> Modeling Computation
961 :			10.1 >>> Languages and Grammars
962 :			10.2 >>> Finite-State Machines with Output
963 :			10.3 >>> Finite-State Machines with No Output
964 :			10.4 >>> Language Recognition
965 :			10.5 >>> Turing Machines
966 :
967 :	jj	472	11 >>> Appendix: Exponential and Logarithmic Functions
968 :			12 >>> Appendix: Pseudocode
969 :	jj	468
970 :			TitleText('Complex Analysis')
971 :			EditionText('3')
972 :			AuthorText('Saff, Snider')
973 :
974 :			1 >>> Complex Numbers
975 :			1.1 >>> The Algebra of Complex Numbers
976 :			1.2 >>> Point Representation of Complex Numbers
977 :			1.3 >>> Vectors and Polar Forms
978 :			1.4 >>> The Complex Exponential
979 :			1.5 >>> Powers and Roots
980 :			1.6 >>> Planar Sets
981 :			1.7 >>> The Riemann Sphere and Stereographic Projection
982 :
983 :			2 >>> Analytic Functions
984 :			2.1 >>> Functions of a Complex Variable
985 :			2.2 >>> Limits and Continuity
986 :			2.3 >>> Analyticity
987 :			2.4 >>> The Cauchy-Riemann Equations
988 :			2.5 >>> Harmonic Functions
989 :			2.6 >>> Steady-State Temperature as a Harmonic Function
990 :			2.7 >>> Iterated Maps: Julia and Mandelbrot Sets
991 :
992 :			3 >>> Elementary Functions
993 :			3.1 >>> Polynomials and Rational Functions
994 :			3.2 >>> The Exponential, Trigonometric, and Hyperbolic Functions
995 :			3.3 >>> The Logarithmic Function
996 :			3.4 >>> Washers, Wedges, and Walls
997 :			3.5 >>> Complex Powers and Inverse Trigonometric Functions
998 :			3.6 >>> Application to Oscillating Systems
999 :
1000 :			4 >>> Complex Integration
1001 :			4.1 >>> Contours
1002 :			4.2 >>> Contour Integrals
1003 :			4.3 >>> Independence of Path
1004 :			4.4 >>> Cauchy's Integral Theorem
1005 :			4.5 >>> Deformation of Contours Approach
1006 :			4.6 >>> Vector Analysis Approach
1007 :			4.7 >>> Cauchy's Integral Formula and Its Consequences
1008 :			4.8 >>> Bounds for Analytic Functions
1009 :			4.9 >>> Applications to Harmonic Functions
1010 :
1011 :			5 >>> Series Representations for Analytic Functions
1012 :			5.1 >>> Sequences and Series
1013 :			5.2 >>> Taylor Series
1014 :			5.3 >>> Power Series
1015 :			5.4 >>> Mathematical Theory of Convergence
1016 :			5.5 >>> Laurent Series
1017 :			5.6 >>> Zeros and Singularities
1018 :			5.7 >>> The Point at Infinity
1019 :			5.8 >>> Analytic Continuation
1020 :
1021 :			6 >>> Residue Theory
1022 :			6.1 >>> The Residue Theorem
1023 :			6.2 >>> Trigonometric Integrals over [0, 2�]
1024 :			6.3 >>> Improper Integrals of Certain Functions over (--�, �)
1025 :			6.4 >>> Improper Integrals Involving Trigonometric Functions
1026 :			6.5 >>> Indented Contours
1027 :			6.6 >>> Integrals Involving Multiple-Valued Functions
1028 :			6.7 >>> The Argument Principle and Rouche's Theorem
1029 :
1030 :			7 >>> Conformal Mapping
1031 :			7.1 >>> Invariance of Laplace's Equation
1032 :			7.2 >>> Geometric Considerations
1033 :			7.3 >>> Mobius Transformations
1034 :			7.4 >>> Mobius Transformations, Continued
1035 :			7.5 >>> The Schwarz-Christoffel Transformation
1036 :			7.6 >>> Applications in Electrostatics, Heat Flow, and Fluid Mechanics
1037 :			7.7 >>> Further Physical Applications of Conformal Mapping
1038 :
1039 :			8 >>> The Transforms of Applied Mathematics
1040 :			8.1 >>> Fourier Series (The Finite Fourier Transform)
1041 :			8.2 >>> The Fourier Transform
1042 :			8.3 >>> The Laplace Transform
1043 :			8.4 >>> The z-Transform
1044 :			8.5 >>> Cauchy Integrals and the Hilbert Transform
1045 :
1046 :	jj	472	9 >>> Appendix A: Numerical Construction of Conformal Maps
1047 :			9.1 >>> The Schwarz-Christoffel Parameter Problem
1048 :			9.2 >>> Examples
1049 :			9.3 >>> Numerical Integration
1050 :			9.4 >>> Conformal Mapping of Smooth Domains
1051 :			9.5 >>> Conformal Mapping Software
1052 :	jj	468
1053 :	jj	472	10 >>> Appendix B: Table of Conformal Mappings
1054 :			10.1 >>> Mobius Transformations
1055 :			10.2 >>> Other Transformations
1056 :	jj	468
1057 :	jjholt	475	TitleText('Calculus: Early Transcendentals')
1058 :			EditionText('5')
1059 :			AuthorText('Stewart')
1060 :
1061 :			1 >>> Functions and Models
1062 :			1.1 >>> Four Ways to Represent a Function
1063 :			1.2 >>> Mathematical Models: A Catalog of Essential Functions
1064 :			1.3 >>> New Functions from Old Functions
1065 :			1.4 >>> Graphing Calculators and Computers
1066 :			1.5 >>> Exponential Functions
1067 :			1.6 >>> Inverse Functions and Logarithms
1068 :
1069 :			2 >>> Limits and Derivatives
1070 :			2.1 >>> The Tangent and Velocity Problems
1071 :			2.2 >>> The Limit of a Function
1072 :			2.3 >>> Calculating Limits Using the Limit Laws
1073 :			2.4 >>> The Precise Definition of a Limit
1074 :			2.5 >>> Continuity
1075 :			2.6 >>> Limits at Infinity; Horizontal Asymptotes
1076 :			2.7 >>> Tangents, Velocities, and Other Rates of Change
1077 :			2.8 >>> Derivatives
1078 :			2.9 >>> The Derivative as a Function
1079 :
1080 :			3 >>> Differentiation Rules
1081 :			3.1 >>> Derivatives of Polynomials and Exponential Functions
1082 :			3.2 >>> The Product and Quotient Rules
1083 :			3.3 >>> Rates of Change in the Natural and Social Sciences
1084 :			3.4 >>> Derivatives of Trigonometric Functions
1085 :			3.5 >>> The Chain Rule
1086 :			3.6 >>> Implicit Differentiation
1087 :			3.7 >>> Higher Derivatives
1088 :			3.8 >>> Derivatives of Logarithmic Functions
1089 :			3.9 >>> Hyperbolic Functions
1090 :			3.10 >>> Related Rates
1091 :			3.11 >>> Linear Approximations and Differentials
1092 :
1093 :			4 >>> Applications of Differentiation
1094 :			4.1 >>> Maximum and Minimum Values
1095 :			4.2 >>> The Mean Value Theorem
1096 :			4.3 >>> How Derivatives Affect the Shape of a Graph
1097 :			4.4 >>> Indeterminate Forms and L'Hospital's Rule
1098 :			4.5 >>> Summary of Curve Sketching
1099 :			4.6 >>> Graphing with Calculus and Calculators
1100 :			4.7 >>> Optimization Problems
1101 :			4.8 >>> Applications to Business and Economics
1102 :			4.9 >>> Newton's Method
1103 :			4.10 >>> Antiderivatives
1104 :
1105 :			5 >>> Integrals
1106 :			5.1 >>> Areas and Distances
1107 :			5.2 >>> The Definite Integral
1108 :			5.3 >>> The Fundamental Theorem of Calculus
1109 :			5.4 >>> Indefinite Integrals and the Net Change Theorem
1110 :			5.5 >>> The Substitution Rule
1111 :			5.6 >>> The Logarithm Defined as an Integral
1112 :
1113 :			6 >>> Applications of Integration
1114 :			6.1 >>> Areas between Curves
1115 :			6.2 >>> Volumes
1116 :			6.3 >>> Volumes by Cylindrical Shells
1117 :			6.4 >>> Work
1118 :			6.5 >>> Average Value of a Function
1119 :
1120 :			7 >>> Techniques of Integration
1121 :			7.1 >>> Integration by Parts
1122 :			7.2 >>> Trigonometric Integrals
1123 :			7.3 >>> Trigonometric Substitution
1124 :			7.4 >>> Integration of Rational Functions by Partial Fractions
1125 :			7.5 >>> Strategy for Integration
1126 :			7.6 >>> Integration Using Tables and Computer Algebra Systems
1127 :			7.7 >>> Approximate Integration
1128 :			7.8 >>> Improper Integrals
1129 :
1130 :			8 >>> Further Applications of Integration
1131 :			8.1 >>> Arc Length
1132 :			8.2 >>> Area of a Surface of Revolution
1133 :			8.3 >>> Applications to Physics and Engineering
1134 :			8.4 >>> Applications to Economics and Biology
1135 :			8.5 >>> Probability
1136 :
1137 :			9 >>> Differential Equations
1138 :			9.1 >>> Modeling with Differential Equations
1139 :			9.2 >>> Direction Fields and Euler's Method
1140 :			9.3 >>> Separable Equations
1141 :			9.4 >>> Exponential Growth and Decay
1142 :			9.5 >>> The Logistic Equation
1143 :			9.6 >>> Linear Equations
1144 :			9.7 >>> Predator-Prey Systems
1145 :
1146 :			10 >>> Parametric Equations and Polar Coordinates
1147 :			10.1 >>> Curves Defined by Parametric Equations
1148 :			10.2 >>> Calculus with Parametric Curves
1149 :			10.3 >>> Polar Coordinates
1150 :			10.4 >>> Areas and Lengths in Polar Coordinates
1151 :			10.5 >>> Conic Sections
1152 :			10.6 >>> Conic Sections in Polar Coordinates
1153 :
1154 :			11 >>> Infinite Sequences and Series
1155 :			11.1 >>> Sequences
1156 :			11.2 >>> Series
1157 :			11.3 >>> The Integral Test and Estimates of Sums
1158 :			11.4 >>> The Comparison Tests
1159 :			11.5 >>> Alternating Series
1160 :			11.6 >>> Absolute Convergence and the Ratio and Root Tests
1161 :			11.7 >>> Strategy for Testing Series
1162 :			11.8 >>> Power Series
1163 :			11.9 >>> Representations of Functions as Power Series
1164 :			11.10 >>> Taylor and Maclaurin Series
1165 :			11.11 >>> The Binomial Series
1166 :			11.12 >>> Applications of Taylor Polynomials
1167 :
1168 :			12 >>> Vectors and the Geometry of Space
1169 :			12.1 >>> Three-Dimensional Coordinate Systems
1170 :			12.2 >>> Vectors
1171 :			12.3 >>> The Dot Product
1172 :			12.4 >>> The Cross Product
1173 :			12.5 >>> Equations of Lines and Planes
1174 :			12.6 >>> Cylinders and Quadric Surfaces
1175 :			12.7 >>> Cylindrical and Spherical Coordinates
1176 :
1177 :			13 >>> Vector Functions
1178 :			13.1 >>> Vector Functions and Space Curves
1179 :			13.2 >>> Derivatives and Integrals of Vector Functions
1180 :			13.3 >>> Arc Length and Curvature
1181 :			13.4 >>> Motion in Space: Velocity and Acceleration
1182 :
1183 :			14 >>> Partial Derivatives
1184 :			14.1 >>> Functions of Several Variables
1185 :			14.2 >>> Limits and Continuity
1186 :			14.3 >>> Partial Derivatives
1187 :			14.4 >>> Tangent Planes and Linear Approximations
1188 :			14.5 >>> The Chain Rule
1189 :			14.6 >>> Directional Derivatives and the Gradient Vector
1190 :			14.7 >>> Maximum and Minimum Values
1191 :			14.8 >>> Lagrange Multipliers
1192 :
1193 :			15 >>> Multiple Integrals
1194 :			15.1 >>> Double Integrals over Rectangles
1195 :			15.2 >>> Iterated Integrals
1196 :			15.3 >>> Double Integrals over General Regions
1197 :			15.4 >>> Double Integrals in Polar Coordinates
1198 :			15.5 >>> Applications of Double Integrals
1199 :			15.6 >>> Surface Area
1200 :			15.7 >>> Triple Integrals
1201 :			15.8 >>> Triple Integrals in Cylindrical and Spherical Coordinates
1202 :			15.9 >>> Change of Variables in Multiple Integrals
1203 :
1204 :			16 >>> Vector Calculus
1205 :			16.1 >>> Vector Fields
1206 :			16.2 >>> Line Integrals
1207 :			16.3 >>> The Fundamental Theorem for Line Integrals
1208 :			16.4 >>> Green's Theorem
1209 :			16.5 >>> Curl and Divergence
1210 :			16.6 >>> Parametric Surfaces and their Areas
1211 :			16.7 >>> Surface Integrals
1212 :			16.8 >>> Stokes' Theorem
1213 :			16.9 >>> The Divergence Theorem
1214 :			16.10 >>> Summary
1215 :
1216 :			17 >>> Second-Order Differential Equations
1217 :			17.1 >>> Second-Order Linear Equations
1218 :			17.2 >>> Nonhomogeneous Linear Equations
1219 :			17.3 >>> Applications of Second-Order Differential Equations
1220 :			17.4 >>> Series Solutions
1221 :
1222 :			Appendix A >>> Numbers, Inequalities, and Absolute Values
1223 :			Appendix B >>> Coordinate Geometry and Lines
1224 :			Appendix C >>> Graphs of Second-Degree Equations
1225 :			Appendix D >>> Trigonometry
1226 :			Appendix E >>> Sigma Notation
1227 :			Appendix F >>> Proofs of Theorems
1228 :			Appendix G >>> Complex Numbers
1229 :			Appendix H >>> Answers to Odd-Numbered Exercises
1230 :
1231 :
1232 :			TitleText('Calculus: Early Transcendentals')
1233 :			EditionText('6')
1234 :			AuthorText('Stewart')
1235 :
1236 :			1 >>> Functions and Models
1237 :			1.1 >>> Four Ways to Represent a Function
1238 :			1.2 >>> Mathematical Models: A Catalog of Essential Functions
1239 :			1.3 >>> New Functions from Old Functions
1240 :			1.4 >>> Graphing Calculators and Computers
1241 :			1.5 >>> Exponential Functions
1242 :			1.6 >>> Inverse Functions and Logarithms
1243 :
1244 :			2 >>> Limits and Derivatives
1245 :			2.1 >>> The Tangent and Velocity Problems
1246 :			2.2 >>> The Limit of a Function
1247 :			2.3 >>> Calculating Limits Using the Limit Laws
1248 :			2.4 >>> The Precise Definition of a Limit
1249 :			2.5 >>> Continuity
1250 :			2.6 >>> Limits at Infinity; Horizontal Asymptotes
1251 :			2.7 >>> Derivatives and Rates of Change
1252 :			2.8 >>> The Derivative as a Function
1253 :
1254 :			3 >>> Differentiation Rules
1255 :			3.1 >>> Derivatives of Polynomials and Exponential Functions
1256 :			3.2 >>> The Product and Quotient Rules
1257 :			3.3 >>> Derivatives of Trigonometric Functions
1258 :			3.4 >>> The Chain Rule
1259 :			3.5 >>> Implicit Differentiation
1260 :			3.6 >>> Derivatives of Logarithmic Functions
1261 :			3.7 >>> Rates of Change in the Natural and Social Sciences
1262 :			3.8 >>> Exponential Growth and Decay
1263 :			3.9 >>> Related Rates
1264 :			3.10 >>> Linear Approximations and Differentials
1265 :			3.11 >>> Hyperbolic Functions
1266 :
1267 :			4 >>> Applications of Differentiation
1268 :			4.1 >>> Maximum and Minimum Values
1269 :			4.2 >>> The Mean Value Theorem
1270 :			4.3 >>> How Derivatives Affect the Shape of a Graph
1271 :			4.4 >>> Indeterminate Forms and L'Hospital's Rule
1272 :			4.5 >>> Summary of Curve Sketching
1273 :			4.6 >>> Graphing with Calculus and Calculators
1274 :			4.7 >>> Optimization Problems
1275 :			4.8 >>> Newton's Method
1276 :			4.9 >>> Antiderivatives
1277 :
1278 :			5 >>> Integrals
1279 :			5.1 >>> Areas and Distances
1280 :			5.2 >>> The Definite Integral
1281 :			5.3 >>> The Fundamental Theorem of Calculus
1282 :			5.4 >>> Indefinite Integrals and the Net Change Theorem
1283 :			5.5 >>> The Substitution Rule
1284 :
1285 :			6 >>> Applications of Integration
1286 :			6.1 >>> Areas between Curves
1287 :			6.2 >>> Volumes
1288 :			6.3 >>> Volumes by Cylindrical Shells
1289 :			6.4 >>> Work
1290 :			6.5 >>> Average Value of a Function
1291 :
1292 :			7 >>> Techniques of Integration
1293 :			7.1 >>> Integration by Parts
1294 :			7.2 >>> Trigonometric Integrals
1295 :			7.3 >>> Trigonometric Substitution
1296 :			7.4 >>> Integration of Rational Functions by Partial Fractions
1297 :			7.5 >>> Strategy for Integration
1298 :			7.6 >>> Integration Using Tables and Computer Algebra Systems
1299 :			7.7 >>> Approximate Integration
1300 :			7.8 >>> Improper Integrals
1301 :
1302 :			8 >>> Further Applications of Integration
1303 :			8.1 >>> Arc Length
1304 :			8.2 >>> Area of a Surface of Revolution
1305 :			8.3 >>> Applications to Physics and Engineering
1306 :			8.4 >>> Applications to Economics and Biology
1307 :			8.5 >>> Probability
1308 :
1309 :			9 >>> Differential Equations
1310 :			9.1 >>> Modeling with Differential Equations
1311 :			9.2 >>> Direction Fields and Euler's Method
1312 :			9.3 >>> Separable Equations
1313 :			9.4 >>> Models for Population Growth
1314 :			9.5 >>> Linear Equations
1315 :			9.6 >>> Predator-Prey Systems
1316 :
1317 :			10 >>> Parametric Equations and Polar Coordinates
1318 :			10.1 >>> Curves Defined by Parametric Equations
1319 :			10.2 >>> Calculus with Parametric Curves
1320 :			10.3 >>> Polar Coordinates
1321 :			10.4 >>> Areas and Lengths in Polar Coordinates
1322 :			10.5 >>> Conic Sections
1323 :			10.6 >>> Conic Sections in Polar Coordinates
1324 :
1325 :			11 >>> Infinite Sequences and Series
1326 :			11.1 >>> Sequences
1327 :			11.2 >>> Series
1328 :			11.3 >>> The Integral Test and Estimates of Sum
1329 :			11.4 >>> The Comparison Tests
1330 :			11.5 >>> Alternating Series
1331 :			11.6 >>> Absolute Convergence and the Ratio and Root Tests
1332 :			11.7 >>> Strategy for Testing Series
1333 :			11.8 >>> Power Series
1334 :			11.9 >>> Representations of Functions as Power Series
1335 :			11.10 >>> Taylor and Maclaurin Series
1336 :			11.11 >>> Applications of Taylor Polynomials
1337 :
1338 :			12 >>> Vectors and the Geometry of Space
1339 :			12.1 >>> Three-Dimensional Coordinate Systems
1340 :			12.2 >>> Vectors
1341 :			12.3 >>> The Dot Product
1342 :			12.4 >>> The Cross Product
1343 :			12.5 >>> Equations of Lines and Planes
1344 :			12.6 >>> Cylinders and Quadric Surfaces
1345 :
1346 :			13 >>> Vector Functions
1347 :			13.1 >>> Vector Functions and Space Curves
1348 :			13.2 >>> Derivatives and Integrals of Vector Functions
1349 :			13.3 >>> Arc Length and Curvature
1350 :			13.4 >>> Motion in Space: Velocity and Acceleration
1351 :
1352 :			14 >>> Partial Derivatives
1353 :			14.1 >>> Functions of Several Variables
1354 :			14.2 >>> Limits and Continuity
1355 :			14.3 >>> Partial Derivatives
1356 :			14.4 >>> Tangent Planes and Linear Approximations
1357 :			14.5 >>> The Chain Rule
1358 :			14.6 >>> Directional Derivatives and the Gradient Vector
1359 :			14.7 >>> Maximum and Minimum Values
1360 :			14.8 >>> Lagrange Multipliers
1361 :
1362 :			15 >>> Multiple Integrals
1363 :			15.1 >>> Double Integrals over Rectangles
1364 :			15.2 >>> Iterated Integrals
1365 :			15.3 >>> Double Integrals over General Regions
1366 :			15.4 >>> Double Integrals in Polar Coordinates
1367 :			15.5 >>> Applications of Double Integrals
1368 :			15.6 >>> Triple Integrals
1369 :			15.7 >>> Triple Integrals in Cylindrical Coordinates
1370 :			15.8 >>> Triple Integrals in Spherical Coordinates
1371 :			15.9 >>> Change of Variables in Multiple Integrals
1372 :
1373 :			16 >>> Vector Calculus
1374 :			16.1 >>> Vector Fields
1375 :			16.2 >>> Line Integrals
1376 :			16.3 >>> The Fundamental Theorem for Line Integrals
1377 :			16.4 >>> Green's Theorem
1378 :			16.5 >>> Curl and Divergence
1379 :			16.6 >>> Parametric Surfaces and their Areas
1380 :			16.7 >>> Surface Integrals
1381 :			16.8 >>> Stokes' Theorem
1382 :			16.9 >>> The Divergence Theorem
1383 :			16.10 >>> Summary
1384 :
1385 :			17 >>> Second-Order Differential Equations
1386 :			17.1 >>> Second-Order Linear Equations
1387 :			17.2 >>> Nonhomogeneous Linear Equations
1388 :			17.3 >>> Applications of Second-Order Differential Equations
1389 :			17.4 >>> Series Solutions
1390 :
1391 :			Appendix A >>> Numbers, Inequalities, and Absolute Values
1392 :			Appendix B >>> Coordinate Geometry and Lines
1393 :			Appendix C >>> Graphs of Second-Degree Equations
1394 :			Appendix D >>> Trigonometry
1395 :			Appendix E >>> Sigma Notation
1396 :			Appendix F >>> Proofs of Theorems
1397 :			Appendix G >>> The Logarithm Defined as an Integral
1398 :			Appendix H >>> Complex Numbers
1399 :			Appendix I >>> Answers to Odd-Numbered Exercises

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