Sections

Calculus
Handouts 
Supplementary
Materials

Videos

Problems
Solutions

Sample
Tests

Other
Materials

Section 1.1

Functions
and
their Representations

Videos

Problems 

Link

Section 1.2

A
Catalog of Essential Functions

Videos

Problems 

Link

Section 1.3

The
Limit
of a Function 
Videos



Link

Section 1.4

Calculating
Limits 
Videos
1, 2,
3

Problems 
Tests

Link

Section 1.5

Continuity

Videos
1, 2



Link

Section 1.6

Limits
Involving Infinity 
Videos
1, 2,
3,
4,
5,
6 
Problems 

Link

Section 2.1

Derivatives
and
Rates of Change 
Videos
1, 2

Problems 

Link

Section 2.2

The
Derivative
as a Function 
Videos
1, 2,
3


Link

Section 2.3

Basic
Differentiation Formulas

Videos
1, 2

Problems 
Tests

Link

Section 2.4

The
Product
and Quotient Rules 
Videos
1, 2,
3

Link

Section 2.5

The
Chain
Rule 
Videos

Problems 
Link

Section 2.6

Implicit
Differentiation 
Videos



Link 
Section 2.8

Linear
Approximations and Differentials

Videos
1, 2



Link

Section 3.1

Exponential
Functions 
Videos



Link

Section 3.2

Inverse
Functions
and Logarithms 
Videos


Tests

Link

Section 3.3

Derivatives of Logarithmic and Exponential Functions

Videos 1,
2


Tests

Link

Section 3.4

Exponential
Growth
and Decay 
Videos



Link

Section 3.5

Inverse
Trigonometric Functions

Videos

Problems

Tests
1, 2

Link

Section 3.7

Indeterminate
Forms
and L'Hospital's
Rule 
Videos
1, 2


Tests

Link

Section 4.1

Maximum
and
Minimum Values 
Videos
1, 2



Link

Section 4.2

The
Mean
Value Theorem 
Videos
1, 2



Link 
Section 4.3

Derivatives
and
the Shapes of Graphs 
Videos
1, 2



Link

Section 4.4

Curve
Sketching 
Videos



Link

Section 4.5

Optimization
Problems 
Videos



Link

Section 4.7

Antiderivatives 
Videos



Link

Section 5.1

Areas
and
Distances 
Videos
1, 2



Link

Section 5.2

The
Definite
Integral 
Videos
1, 2



Link

Section 5.3

Evaluating
Definite Integrals 
Videos

Problems

Tests

Link

Section 5.4

The
Fundamental
Theorem of Calculus 
Videos

Problems


Link

Section 5.5

The
Substitution
Rule 
Videos

Problems 
Tests

Link

Section 6.1

Integration
by
Parts 
Videos


Tests 

Section 6.2

Trigonometric
Integrals
and Substitution 
Videos
1, 2

Problems 
Tests
1, 2


Section 6.3

Partial
Fractions 
Videos
1, 2


Tests 

Section 6.5

Approximate
Integration 
Videos
1, 2,
3,
4




Section 6.6

Improper
Integrals 
Videos
1, 2


Tests


Section 7.1

Areas
Between
Curves 
Videos




Section 7.2

Volumes 
Videos
1, 2,
3




Section 7.3

Volumes
by
Cylindrical
Shells 
Videos




Section 7.4

Arc
Length

Videos 



Section 7.5

Applications
to
Physics
and Engineering 
Videos
1, 2,
3




Section 7.6

Differential
Equations 
Videos
1, 2




Section 8.1

Sequences 
Videos
1, 2,
3,
4




Section 8.2

Series 
Videos
1, 2,
3,
4,
5,
6




Section 8.3

The
Integral
and
Comparison Tests 
Videos
1, 2




Section 8.4

Other
Convergence Tests 
Videos
1, 2,
3,
4,
5




Section 8.5

Power
Series 
Videos
1, 2,
3,
4,
5,
6,
7




Section 8.6

Representing
Functions
as Power Series 
Videos 



Section 8.7

Taylor
and
Maclaurin Series 
Videos




Section 8.8

Applications
of Taylor Polynomials 
Videos 



Section 9.1

Parametric
Curves 
Videos




Section 9.2

Calculus
with
Parametric Curves 
Videos 



Section 9.3

Polar
Coordinates 
Videos




Section 9.4

Areas
and
Lengths in Polar Coordinates 
Videos





Useful
Calc Links 
Matthew Leingang (NYU)

Link 
MIT Open Course

Link 
Khan Academy

Link 
Paul Dawkins, Lamar University

Link 1, 2

D. A. Kouba (UC
Davis) 
Link 
Jeff Morgan, University of Houston

Link 
Selwyn Hollis, University of Houston

Link 
Useful
Math Links 
WolframAlpha 
Link 
Wolfram MathWorld 
Link 
Encyclopedia of
Integer Sequences 
Link 
Discussion
Board

Link 
