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:
