Difference between revisions of "ModelCourses/Differential Calculus"

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* Set 05 Trigonometric Functions
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* '''Set 05 Trigonometric Functions''' Students will be able to
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* Set 06 Powers, Polynomials, and Rational Functions
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* Set 07 Introduction to Continuity
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* Set 08 Limits
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* '''Set 06 Powers, Polynomials, and Rational Functions''' Students will be able to
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* Set 09 Introduction to the derivative
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* Set 10 The Derivative at a Point
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* Set 11 The Derivative Function
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* '''Set 07 Introduction to Continuity''' Students will be able to
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* Set 12 Interpretations of the Derivative
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* Set 13 The Second Derivative
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* Set 14 Differentiability
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* '''Set 08 Limits ''' Students will be able to
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* Set 15 Powers and Polynomials
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* Set 16 The Exponential Function
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* Set 17 The Product and Quotient Rules
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* '''Set 09 Introduction to the derivative''' Students will be able to
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* Set 18 The Chain Rule
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* Set 19 The Trigonometric Functions
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* Set 20 The Chain Rule and Inverse Functions
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* '''Set 10 The Derivative at a Point''' Students will be able to
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* Set 21 Implicit Functions
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* '''Set 11 The Derivative Function''' Students will be able to
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* '''Set 12 Interpretations of the Derivative''' Students will be able to
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* '''Set 13 The Second Derivative''' Students will be able to
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* '''Set 14 Differentiability''' Students will be able to
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* '''Set 15 Derivatives of Powers and Polynomials''' Students will be able to
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* '''Set 16 Derivative of the Exponential Function''' Students will be able to
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* '''Set 17 The Product and Quotient Rules''' Students will be able to
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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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* '''Set 20 The Chain Rule and Inverse Functions''' Students will be able to
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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
 
* 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
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