﻿ MATH 1132: Calculus 2

MATH 1132

Calculus 2

Spring 2015

Phone: (860) 405-9294

Office Hours: MW 3:30 - 4:30 pm. and by appointment

Open Door Policy: You are welcome to drop by to discuss any aspect of the course, anytime, on the days I am on campus-- Tuesday, Thursday, and Friday.

General Information:

MATH 1132 covers material from 6-11 chapters of the textbook. The main topics are: application and techniques of integration, sequences and series, improper integrals .

Class Meeting Times/Place: Tuesday, Thursday 11:00a.m. - 12:40 p.m. Classroom  ACD 106.

Textbooks:                          Required: Single Variable Calculus by James Stewart

Homework Policy:

Homework is assigned every class and collected every Thursday. They are returned the following Tuesday with remarks and graded. The total weight of the homework grades is 50 point of the total 500 course points.

Exam Schedule:                    Exam 1:  Thursday, February 19 ,        11:00a.m. - 12:45p.m.,  Room: ACD 106

Exam 2:  Thursday, March 26,            11:00a.m. - 12:45p.m.,  Room: ACD 106

Final Exam:   Tuesday, May 5,               11:00a.m. - 1:00p.m.,   Room: ACD 106

Grading Policy:                        Homework: 50, Quiz: 100, Exam 1: 100, Exam 2: 100, Exam 3: 100, Final Exam: 150.

Approximate schedule is below.

Please note: I am planning to cover most of the Chapters 6-11.
It is assumed that the students are familiar with the material of calculus 1.

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 Date Chapter Topic Homework Week 1 Tu. 1/20 6.1 Review of Calculus 1. Area between curves. 6.1 Exercises:  1,2,5,6,13,14,29,31 Th. 1/22 6.2 Volumes. 6.2 Exercises: 1,2,5,6,12,13,45,48 Week 2 Tu. 1/27 SNOW DAY Th. 1/29 7.1, 7.3 Integration by Parts. Trig. Substitutions 7.1 Exercises:  1,2,3,4,5,6,23,24,37,38, 7.3 Exercises:  1,3,4,5,6,7,21,22 Week 3 Tu. 2/3 7.4 Partial Fractions. 7.4 Exercises:  1,2,7,8,19,20 Th. 2/5 7.7 Approximate Integration. 7.7 Exercises:  1,2,7,8,19,20,30 Week 4 Tu. 2/10 7.8 Improper Integrals. 7.8 Exercises:  1,2,7,8,19,20,30 Th. 2/12 8.3 Applications to Physics and Engineering. 8.3 Exercises:  34,36 Week 5 Tu. 2/17 Review for Exam 1.   Practice exam 1     Solutions to Practice exam 1 Th. 2/19 Exam 1 Week 6 Tu. 2/24 11.1 Sequences 11.1 Exercises:   3,4,16,17,25,26,31,32,37,38,79 Th. 2/26 11.2 Series Week 7 Tu. 3/3 11.2 Series (cont.) 11.2 Exercises: 15,16,1,7,18,19,20,27,31,51,57 Th. 3/5 11.3, 11.4 Integral Test . Comparison Test. 11.3 Exercises:  5,6,9,10,11,12,39; 11.4 Exercises:  5,6,7,8,25,26 Week 8 Tu. 3/10 11.5 Alternating Series 11.5 Exercises: 3,4,7,8,23,27 Th. 3/12 11.6 Absolute Convergence and the Ratio Test 11.6 Exercises: 5,6,7,8,25,26 Week 9 Tu. 3/17 Spring recess. Th. 3/19 Spring recess. Week 10 Tu. 3/24 Review for Exam 2.  Practice exam 2     Solutions to Practice exam 2 Th. 3/26 Exam 2 Week 11 Tu. 3/31 11.8 Power Series 11.8 Exercises:  3,4,5,6,9,10,15,16 Th. 4/2 11.9 Representation of Functions as Power Series 11.9 Exercises:  5,6,7,8,15,16,21,22 Week 12 Tu. 4/7 11.10 Taylor and Maclaurin Series 11.10 Exercises: 5,6,7,8,14,15,31,32,34 Th. 4/9 11.11 Applications of Taylor Polynomials 11.10 Exercises:  53,54,55,56,59 11.11 Exercises:  13,18 Week 13 Tu. 4/14 Review series 10.1 Exercises:  10.2 Exercises: Th. 4/16 10.1 Curves Defined by Parametric Equations 10.3 Exercises: Week 14 Tu. 4/21 10.2 Calculus with Parametric Curves 10.4 Exercises: Th. 4/23 10.3 Polar Coordinates Week 15 Tu. 4/28 10.4 Area in Polar Coordinates Th. 4/30 Week 16 Tu. 5/5 Final Exam