Sections

Calculus
Handouts 
Supplementary
Materials

Videos

Problems
Solutions

Sample
Tests

Section 1.1

Functions
and
their Representations

Videos

Problems 

Section 1.2

A
Catalog of Essential Functions

Videos

Problems 

Section 1.3

The
Limit
of a Function 
Videos



Section 1.4

Calculating
Limits 
Videos
1, 2,
3

Problems 
Tests

Section 1.5

Continuity

Videos
1, 2



Section 1.6

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

Section 2.1

Derivatives
and
Rates of Change 
Videos
1, 2

Problems 

Section 2.2

The
Derivative
as a Function 
Videos
1, 2,
3


Section 2.3

Basic
Differentiation Formulas

Videos
1, 2

Problems 
Tests

Section 2.4

The
Product
and Quotient Rules 
Videos
1, 2,
3

Section 2.5

The
Chain
Rule 
Videos

Problems 
Section 2.6

Implicit
Differentiation 
Videos



Section 2.8

Linear
Approximations and Differentials

Videos
1, 2



Section 3.1

Exponential
Functions 
Videos



Section 3.2

Inverse
Functions
and Logarithms 
Videos


Tests

Section 3.3

Derivatives of Logarithmic and Exponential Functions

Videos 1,
2


Tests

Section 3.4

Exponential
Growth
and Decay 
Videos



Section 3.5

Inverse
Trigonometric Functions

Videos

Problems

Tests
1, 2

Section 3.7

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


Tests

Section 4.1

Maximum
and
Minimum Values 
Videos
1, 2



Section 4.2

The
Mean
Value Theorem 
Videos
1, 2



Section 4.3

Derivatives
and
the Shapes of Graphs 
Videos
1, 2



Section 4.4

Curve
Sketching 
Videos



Section 4.5

Optimization
Problems 
Videos



Section 4.7

Antiderivatives 
Videos



Section 5.1

Areas
and
Distances 
Videos
1, 2



Section 5.2

The
Definite
Integral 
Videos
1, 2



Section 5.3

Evaluating
Definite Integrals 
Videos
1, 2,
3,
4

Problems

Tests

Section 5.4

The
Fundamental
Theorem of Calculus 
Videos

Problems


Section 5.5

The
Substitution
Rule 
Videos

Problems 
Tests

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
1, 2




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Links 
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