Course Map

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  Lectures    

Exercises Labs Tests

  Introduction  
    Reference:   Calculus by Gilbert Strang

     

  Chapter 1

Limits and Continuity

     Functions

Ex 1.1 Lab 1.1 Quiz 1.1

     One-sided limits

Ex 1.2 Lab 1.2 Quiz 1.2

     Limits

Ex 1.3 Lab 1.3 Quiz 1.3
     Continuity Ex 1.4 Lab 1.4 Quiz 1.4
      Chapter 1 Exam

  Chapter 2

Intro to the Derivative
     Average
     Rate of Change
Ex 2.1 Lab 2.1 Quiz 2.1
     Instantaneous
     Rate of Change

     & the Derivative
Ex 2.2 Lab 2.2 Quiz 2.2
     Basic
     Derivative Rules
Ex 2.3 Lab 2.3 Quiz 2.3
     Product Rule,
     Higher-Order
     Derivatives
Ex 2.4 Lab 2.4 Quiz 2.4
      Chapter 2 Exam
  Chapter 3 Derivative Rules
     Chain Rule Ex 3.1 Lab 3.1 Quiz 3.1
     Quotient Rule Ex 3.2 Lab 3.2 Quiz 3.2
     Derivatives of the
     Trig Functions
Ex 3.3 Lab 3.3 Quiz 3.3
     Implicit Differentiation Ex 3.4 Lab 3.4 Quiz 3.4
      Chapter 3 Exam
  Chapter 4 Applications of the Derivative
     Linearization &
     Tangent Lines
Ex 4.1 Lab 4.1 Quiz 4.1
     Newton's Method Ex 4.2 Lab 4.2 Quiz 4.2
     Optimization Ex 4.3 Lab 4.3 Quiz 4.3
     Related Rates Ex 4.4 Lab 4.4 Quiz 4.4
      Chapter 4 Exam
  Chapter 5  Integration
     Antiderivatives Ex 5.1 Lab 5.1 Quiz 5.1
     Definite Integrals Ex 5.2 Lab 5.2 Quiz 5.2
     Fundamental
     Theorem of Calculus
Ex 5.3 Lab 5.3 Quiz 5.3
      Substitution Ex 5.4 Lab 5.4 Quiz 5.4
      Numerical
      Integration
Ex 5.5 Lab 5.5 Quiz 5.5
      Chapter 5 Exam
  Chapter 6 Applications of Integration
     Volumes by
     Slicing
Ex 6.1 Lab 6.1 Quiz 6.1
     Volumes of
      Revolution
Ex 6.2 Lab 6.2 Quiz 6.2
     Plane Curve
     Length &
     Surface Area
Ex 6.3 Lab 6.3 Quiz 6.3
      Chapter 6 Exam
       Final
  Exam

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Copyright 1999-2002,  Rafael Espericueta
Last revised: May 05, 2009