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
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:
- Summer II 2020
- Fall 2019
- Summer II 2019 - Lecture 01
- Spring 2019
- Fall 2018
- Spring 2018
- Fall 2017
- Summer II 2017 - Lecture 01
- Fall 2016
- Summer II 2016 - Lecture 02
- Spring 2016
- Fall 2014
- Spring 2014
- Fall 2013
- Spring 2013
- Fall 2012
- Spring 2012
- Fall 2011
- Fall 2010
- Spring 2010
- Fall 2009
- Spring 2009
- Fall 2008
- Fall 2007
- Spring 2007
- Fall 2006
- Spring 2005
- Fall 2003
- Spring 2003