|
Sections
|
Calculus
Handouts |
Videos
|
Supplementary
Materials
|
|
Section 1.1
|
Functions
and
their Representations
|
Link
|
Link
|
|
Section 1.2
|
A
Catalog of Essential Functions
|
Link
|
Link
|
|
Section 1.3
|
The
Limit
of a Function |
Link
|
Link
|
|
Section 1.4
|
Calculating
Limits |
Link
1, 2,
3
|
Link
|
|
Section 1.5
|
Continuity
|
Link
1, 2
|
Link
|
|
Section 1.6
|
Limits
Involving Infinity |
Link
1, 2,
3,
4,
5,
6 |
Link
|
|
Section 2.1
|
Derivatives
and
Rates of Change |
Link
1, 2
|
Link
|
|
Section 2.2
|
The
Derivative
as a Function |
Link
1, 2,
3
|
Link
|
|
Section 2.3
|
Basic
Differentiation Formulas
|
Link
1, 2
|
Link
|
|
Section 2.4
|
The
Product
and Quotient Rules |
Link
1, 2,
3
|
Link
|
|
Section 2.5
|
The
Chain
Rule |
Link
|
Link
|
|
Section 2.6
|
Implicit
Differentiation |
Link
|
Link |
|
Section 2.8
|
Linear
Approximations and Differentials
|
Link
1, 2
|
Link
|
|
Section 3.1
|
Exponential
Functions |
Link
|
Link
|
|
Section 3.2
|
Inverse
Functions
and Logarithms |
Link
|
Link
|
|
Section 3.3
|
Derivatives of Logarithmic and Exponential Functions
|
Link 1,
2
|
Link
|
|
Section 3.4
|
Exponential
Growth
and Decay |
Link
|
Link
|
|
Section 3.5
|
Inverse
Trigonometric Functions
|
Link
|
Link
|
|
Section 3.7
|
Indeterminate
Forms
and L'Hospital's
Rule |
Link
1, 2
|
Link
|
|
Section 4.1
|
Maximum
and
Minimum Values |
Link
1, 2
|
Link
|
|
Section 4.2
|
The
Mean
Value Theorem |
Link
1, 2
|
Link |
|
Section 4.3
|
Derivatives
and
the Shapes of Graphs |
Link
1, 2
|
Link
|
|
Section 4.4
|
Curve
Sketching |
Link
|
Link
|
|
Section 4.5
|
Optimization
Problems |
Link
|
Link
|
|
Section 4.7
|
Antiderivatives |
Link
|
Link
|
|
Section 5.1
|
Areas
and
Distances |
Link
1, 2
|
Link
|
|
Section 5.2
|
The
Definite
Integral |
Link
1, 2
|
Link
|
|
Section 5.3
|
Evaluating
Definite Integrals |
Link
|
Link
|
|
Section 5.4
|
The
Fundamental
Theorem of Calculus |
Link
|
Link
|
|
Section 5.5
|
The
Substitution
Rule |
Link
|
Link
|
|
Section 6.1
|
Integration
by
Parts |
Link
|
|
|
Section 6.2
|
Trigonometric
Integrals
and Substitution |
Link
1, 2
|
|
|
Section 6.3
|
Partial
Fractions |
Link
1, 2
|
|
|
Section 6.5
|
Approximate
Integration |
Link
1, 2,
3,
4
|
|
|
Section 6.6
|
Improper
Integrals |
Link
|
|
|
Section 7.1
|
Areas
Between
Curves |
Link
|
|
|
Section 7.2
|
Volumes |
Link
1, 2,
3
|
|
|
Section 7.3
|
Volumes
by
Cylindrical
Shells |
Link
|
|
|
Section 7.4
|
Arc
Length
|
Link |
|
|
Section 7.5
|
Applications
to
Physics
and Engineering |
Link
1, 2,
3
|
|
|
Section 7.6
|
Differential
Equations |
|
|
|
Section 8.1
|
Sequences |
|
|
|
Section 8.2
|
Series |
|
|
|
Section 8.3
|
The
Integral
and
Comparison Tests |
|
|
|
Section 8.4
|
Other
Convergence Tests |
|
|
|
Section 8.5
|
Power
Series |
|
|
|
Section 8.6
|
Representing
Functions
as Power Series |
|
|
|
Section 8.7
|
Taylor
and
Maclaurin Series |
|
|
|
Section 8.8
|
Applications
of Taylor Polynomials |
|
|
|
Section 9.1
|
Parametric
Curves |
|
|
|
Section 9.2
|
Calculus
with
Parametric Curves |
|
|
|
Section 9.3
|
Polar
Coordinates |
|
|
|
Section 9.4
|
Areas
and
Lengths in Polar Coordinates |
|
|
|
| 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 |
|