Difference between revisions of "ModelCourses/Differential Calculus"
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− | * Set 05 Trigonometric Functions |
+ | * '''Set 05 Trigonometric Functions''' Students will be able to |
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+ | ** |
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− | * Set |
+ | * '''Set 06 Powers, Polynomials, and Rational Functions''' Students will be able to |
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+ | ** |
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− | * Set |
+ | * '''Set 07 Introduction to Continuity''' Students will be able to |
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+ | ** |
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− | * Set |
+ | * '''Set 08 Limits ''' Students will be able to |
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+ | ** |
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− | * Set |
+ | * '''Set 09 Introduction to the derivative''' Students will be able to |
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+ | ** |
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− | * Set |
+ | * '''Set 10 The Derivative at a Point''' Students will be able to |
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+ | ** |
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+ | * '''Set 11 The Derivative Function''' Students will be able to |
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+ | ** |
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+ | * '''Set 12 Interpretations of the Derivative''' Students will be able to |
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+ | ** |
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+ | * '''Set 13 The Second Derivative''' Students will be able to |
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+ | ** |
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+ | * '''Set 14 Differentiability''' Students will be able to |
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+ | ** |
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+ | * '''Set 15 Derivatives of Powers and Polynomials''' Students will be able to |
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+ | ** |
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+ | * '''Set 16 Derivative of the Exponential Function''' Students will be able to |
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+ | ** |
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+ | * '''Set 17 The Product and Quotient Rules''' Students will be able to |
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+ | ** |
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+ | * '''Set 18 The Chain Rule''' Students will be able to |
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+ | ** |
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+ | * '''Set 19 The Trigonometric Functions''' Students will be able to |
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+ | ** |
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+ | * '''Set 20 The Chain Rule and Inverse Functions''' Students will be able to |
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+ | ** |
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+ | * '''Set 21 Implicit Functions''' Students will be able to |
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* Set 22 Hyperbolic Functions |
* Set 22 Hyperbolic Functions |
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* Set 23 Linear Approximation and the Derivative |
* Set 23 Linear Approximation and the Derivative |
Revision as of 16:10, 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 Students will be able to
- Set 06 Powers, Polynomials, and Rational Functions Students will be able to
- Set 07 Introduction to Continuity Students will be able to
- Set 08 Limits Students will be able to
- Set 09 Introduction to the derivative Students will be able to
- Set 10 The Derivative at a Point Students will be able to
- Set 11 The Derivative Function Students will be able to
- Set 12 Interpretations of the Derivative Students will be able to
- Set 13 The Second Derivative Students will be able to
- Set 14 Differentiability Students will be able to
- Set 15 Derivatives of Powers and Polynomials Students will be able to
- Set 16 Derivative of the Exponential Function Students will be able to
- Set 17 The Product and Quotient Rules Students will be able to
- Set 18 The Chain Rule Students will be able to
- Set 19 The Trigonometric Functions Students will be able to
- Set 20 The Chain Rule and Inverse Functions Students will be able to
- Set 21 Implicit Functions Students will be able to
- 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