# Math 13x Series - Accelerated Honors Calculus

This is a three quarter series which covers the material of Math 124, Math 125, Math 126, Math 207, and Math 208. See UW General Catalog for course descriptions and prerequisite information. See the registration information if you are considering taking this series.

#### Textbook

- Calculus - One and Several Variables (Tenth Edition) by Salas, Hille, and Etgen
- Textbooks for linear algebra and differential equations topics vary by instructor

### Suggested Syllabus

#### Math 134

- The real number system and introduction to proof writing
- Definition of the limit and limit theorems
- Definition of the derivative and applications of differentiation
- The Mean Value Theorem
- Definition of the integral and FTC
- Techniques and applications of integration
- First order differential equations

#### Math 135

- Sequences of real numbers and convergence
- Series, Taylor series, power series
- First order differential equations
- Second and higher order differential equations and applications
- The Laplace transform
- Vectors and calculus of vector functions in space

#### Math 136

- Vector spaces
- Linear transformations and matrices
- Applications of linear algebra
- Functions of two or more variables
- Partial derivatives
- Double integrals