# MAT 132

**Title: **Calculus II

**Description: **A continuation of MAT 131, covering symbolic and numeric methods of integration; area under a curve; volume; applications such as work and probability; improper integrals and l'Hospital's rule; complex numbers; sequences; series; Taylor series; differential equations; and modelling. May not be taken for credit in addition to MAT 127, MAT 142, MAT 171, or AMS 161. This course has been designated as a High Demand/Controlled Access (HD/CA) course. Students registering for HD/CA courses for the first time will have priority to do so.

**Prerequisite: **C or higher in AMS 151 or MAT 131 or 141, or level 7 on the mathematics placement examination **DEC:** C**SBC:** QPS

**Credits: **4

**Textbook:**

- James Stewart, Single Variable Calculus (Stony Brook Edition 4).

Note: Subject to change - do not buy before confirming with the course instructor - We will also use Notes on Second Order Linear Differential Equations

**Major Topics Covered: **

- Substitution Rule and Integration by Parts

- Trigonometric Integrals

- Integration by Partial Fractions

- Improper Integrals

- Computation of Areas and Volumes

- Arc Length

- Applications of Integration

- Modeling with Differential Equations

- Line Fields/Euler's Method

- Separable Equations

- Exponential Growth and Decay

- The Logistic Equation

- Predator-prey Systems

- Sequences

- Series

- Convergence Tests

- Power Series

- Taylor and Maclaurin Series

- Power Series and Ordinary Differential Equations

Undergraduate Bulletin Course Information

**Course Webpages: **