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:

Single Variable Calculus Concepts and Contexts (Stony Brook Edition 4) by James Stewart
We will also use Notes on Second Order Linear Differential Equations

Note: Subject to change - do not buy before confirming with the course instructor

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

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