Area as Limit

Definite Integral

Indefinite Integral
- Worksheet
- Solutions

Fundamental Theorem of Calculus

Integration by Substitution

Substitution with Definite Integrals

Volumes by Slicing

Length of a Plane Curve

Work

Work Worksheet

Integration by Parts

Integration by Partial Fractions

Separation of Variables

Improper Integrals

Integrating Trig Functions

Trigonometric Substitution
or as a
PDF

Parametric Curves

Primer on Polar Curves

(courtesy of Greg Naber)

Polar Curves

Tangent Lines, Arc Length, and Area for Polar Curves

Area as a Limit - Answers

Definite Integral - Answers

Indefinite Integrals - Answers

Fundamental Theorem of Calculus - Answers

Integration by Substitution - Answers

Substitution with Definite Integrals - Answers

Area Between Two Curves - Answers

Volumes by Slicing - Answers

Length of a Plane Curve - Answers

Work - Answers

Integration by Parts - Answers

Partial Fractions
- Hints
- Answers

Improper Integrals - Answers

Separation of Variables - Answers

Integrating Trig Functions - Answers

Trigonometric Substitution - Answers

Parametric Equations - Answers

Polar Coordinates - Answers

Polar Coordinates Cont - Answers

Calculus I Review |
Solutions

Summation and Sigma Notation |
Solutions

Area as a Limit |
Solutions

Fundamental Theorem of Calculus |
Solutions

Antiderivatives |
Solutions

Integration by Substitution |
Solutions

Area Between Two Curves |
Solutions

Partial Fractions |
Solutions

Separation of Variables and Improper Integrals |
Solutions

Trigonometric Substitution |
Solutions

Here's the syllabus for this term.

Paul Dawkins' Online Notes are an incredible resource that function as an interactive online textbook. These notes are available as textbooks to download in PDF format. I highly suggest using these in addition to my lecture notes and any other resources you find useful. Our calculus II course begins at the end of his Calculus I book and continues into his Calculus II book - you should be able to identify the appropriate sections by their titles.

Some students have found useful to watch short calculus tutorials online to either get a preview of what is going to be covered in class or to review the material after the lecture. A popular source is Khan Academy (link).