Difference between revisions of "ModelCourses/Differential Calculus"
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** Evaluate an inverse function |
** Evaluate an inverse function |
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− | * Set 04 Logarithmic Functions |
+ | * '''Set 04 Logarithmic Functions''' Students will be able to |
+ | ** Solve exponential equation using logarithms |
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+ | ** Find doubling times |
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+ | ** Identify the growth rate of an exponential function |
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+ | |||
+ | |||
* Set 05 Trigonometric Functions |
* Set 05 Trigonometric Functions |
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* Set 06 Powers, Polynomials, and Rational Functions |
* Set 06 Powers, Polynomials, and Rational Functions |
Revision as of 16:54, 9 March 2013
Problem sets
- Set 01 Functions and Change Students will be able to
- Find equations of lines
- Find equations of perpendicular lines
- Find equations of parallel lines
- Find the domain and range of functions
- Set 02 Exponential Functions Students will be able to
- Construct exponential functions based on given numerical data
- Construct exponential functions based on given graphical data
- Find the concavity of a function based on graphical data
- Set 03 New Functions from Old Students will be able to
- Evaluate compositions of functions
- Determine if a function is invertible or not
- Interpret the value of an inverse function
- Evaluate an inverse function
- Set 04 Logarithmic Functions Students will be able to
- Solve exponential equation using logarithms
- Find doubling times
- Identify the growth rate of an exponential function
- Set 05 Trigonometric Functions
- Set 06 Powers, Polynomials, and Rational Functions
- Set 07 Introduction to Continuity
- Set 08 Limits
- Set 09 Introduction to the derivative
- Set 10 The Derivative at a Point
- Set 11 The Derivative Function
- Set 12 Interpretations of the Derivative
- Set 13 The Second Derivative
- Set 14 Differentiability
- Set 15 Powers and Polynomials
- Set 16 The Exponential Function
- Set 17 The Product and Quotient Rules
- Set 18 The Chain Rule
- Set 19 The Trigonometric Functions
- Set 20 The Chain Rule and Inverse Functions
- Set 21 Implicit Functions
- Set 22 Hyperbolic Functions
- Set 23 Linear Approximation and the Derivative
- Set 24 Theorems about Differentiable Functions
- Set 25 Using First and Second Derivatives
- Set 26 Optimization
- Set 27 Families of Functions
- Set 28 Optimization Geometry and Modeling
- Set 29 Applications to Marginality (optional)
- Set 30 Rates and Related Rates
- Set 31 L’Hopital’s Rule, Growth, and Dominance
- Set 32 Parametric Equations
- Set 33 Introduction to the definite integral
- Set 34 The Definite Integral
- Set 35 The Fundamental Theorem and Interpretations
- Set 36 Theorems about Definite Integrals
- Set 37 Antiderivatives Graphically and Numerically
- Set 38 Constructing Antiderivatives Analytically
- Set 39 Differential Equations
- Set 40 Second Fundamental Theorem of Calculus
- Set 41 The Equations of Motion