Math 221/222 is a two semester sequence of courses in calculus. The goal of this year-long sequence of courses is to introduce students to differential and integral calculus of functions of one and several variables. Major topics in the first semester include

• Limits
• Continuity
• Derivatives of algebraic and transcendental functions
• The Mean Value Theorems and their applications:
  • Anti-derivatives and solutions of differential equations
  • Graphing of functions
  • L'Hopital's Rule for limits.
• Integration
• Applications of Integration
• The Fundamental Theorem of Calculus
• Methods for Computing Integrals

• Infinite Series
• Functions defined by Power Series
• Matrices and Vectors
• Vector Valued Functions and Curves in Space
• Planetary Motion
• Functions of Several Variables
  • Limits
  • Differentiability
  • Integration
  • Stokes' Theorem and Potential Theory

I will post lecture notes for the course. These are the primary source of information for the course. You should also have available some standard calculus book. If you have not already acquired such a book, ask me for a suggestion. The text used for Math 231, Essential Calculus by James Stewart will suffice.

Students are expected to be proficient in both college algebra and trigonometry. This information may be found at College Algebra with Trigonometry . The basic facts are summarized at

• Basic Algebra Facts
• Basic Trigonometry Facts
• Basic Function Facts
• The complex exponential function

Tutoring information can be found here.

You are expected to abide by the UW-System Code of Academic Conduct at all times and on all graded work.

Grading information

Homework Assignments

Homework Solutions

Topics for Exam 01 , Thursday, October 2, 2008.

Topics for Exam 02 , Thursday, October 30, 2008.