# MAT 127 Calculus C - Fall 2005

### Textbook:

Calculus - Concepts and Contexts (Single Variable), 2nd Edition, by James Stewart.
Available from the university bookstore or check prices at AddAll

MAT 127 is the final course of the three-semester calculus sequence MAT 125, 126 and 127. We will cover this semester differential equations, sequences and series, power series, as well as some of their applications to sciences, engineering, and beyond.

The course is heavily dependent on the material you studied in MAT 125 and MAT 126. You are therefore specifically encouraged to review the following material from your textbook:

 Chapter 1 2 3 4 5 Appendices Sections 5,6 2-8 1,2,4-7 2,3,5,9 3-7,10 A,B,C,F

### Course description & Homework assignments:

New material will be presented every week during the lectures. You should read the corresponding section of the text before coming to class, according to the following week-by-week list of reading and homework assignments:

 Week Topic Notes Homework assignments 8/29-9/4 Modeling with differential equations 7.1: 2,5,6,14 web homework 9/5-9/11 Direction fields/Euler's method No classes 9/5 (Labour day) 7.2: 9,11,18,22 web homework 9/12-9/18 Separable equations 7.3: 6,24,34,35 web homework 9/19-9/25 Exponential growth and decay 7.4: 1,2,9,10,14,18 web homework 9/26-10/2 The logistic equation 7.5: 3,6,7,9 web homework 10/3-10/9 Predator-prey systems No classes 10/3-10/5 (Rosh Hashanah) Midterm I, Th 10/6, 8:30-10:00 pm 7.6: 1,3,4 web homework 10/10-10/16 Sequences No classes 10/12 after 5pm, No classes 10/13 (Yom Kippur) 8.1:5,6,9,14,24,40 web homework 10/17-10/23 Sequences cont, Series 8.2:4,9,11,13,19,20,43 web homework 10/24-10/30 Convergence tests 8.3: 1,2,11,15,18 web homework 10/31-11/6 More convergence tests; Power series 8.4:3,8,13,23,24,29 web homework 11/7-11/13 Power series; Representing functions as power series Midterm II, Tue 11/8, 8:30-10:00 pm 8.5:3,5,8, 8.6: 7,9,14 web homework 11/14-11/20 Taylor and Maclaurin series 8.7:10,11,17,20 web homework 11/21-11/27 Taylor and Maclaurin series cont, Binomial series No classes 11/24-11/26 (Thanksgiving) 8.7:35,39,40 web homework 11/28-12/4 Power series and ODEs 8.8:4, 8.10:1,2,5 web homework 12/5-12/11 Power series and ODE cont, Review 12/12-12/18 Review Classes end 12/13 12/21 Final Exam Wed, 11:00am-1:30 pm