MATH 251-01

CALCULUS II

INSTRUCTOR INFORMATION:

Shannon Gracey
Phone: (619) 421-6700 ext. 5517
Office Hours: Room 320D, MW 10:15-11:55, F 10:15-11:05
e—mail: sgracey@swccd.edu
web page: http://www.swccd.edu/~sgracey

STUDENT LEARNING OUTCOMES:

Upon successful completion of Math 251, the student should be able to:

Choose and apply appropriate integration techniques.

Model and solve problems involving areas, volume, work and elementary differential equations.

Apply Calculus techniques using polar and parametric equations including: slope of tangent lines, arc length, graphing, and areas. Find and apply power series representations of functions and determine possible errors, radius of convergence, and corresponding derivatives and integrals.

Determine if sequences or series converge or diverge using appropriate theorems.

COURSE DESCRIPTION AND SCOPE:

Hyperbolic functions, techniques of integration, plane analytic geometry, polar coordinates, infinite series, and parametric equations. Inverse trigonometric functions, applications of integration (surface area, work, moments) L'Hospital's rule and indeterminate forms. Graphing calculator is required. [D; CSU; UC; CAN-Math 20]

PREREQUISITE:

MATH 250

RECOMMENDED PREPARATION:

RDG 56 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent

EXAM 1 CHAPTER 5.6-5.8, 7.1-7.5

EXAM 2 CHAPTER 8

EXAM 3 CHAPTER 9.1-9.9 TAKE-HOME EXAM

EXAM 4 CHAPTER 10.1-10.5

QUIZ 1 CHAPTER 5.6-5.8

QUIZ 2 CHAPTER 8.1-8.3

QUIZ 3 CHAPTER 8.4-8.5

QUIZ 4 CHAPTER 9.1-9.3

ANNOTATED LECTURE PDF FILES AND IN-CLASS WORKSHEETS (YOU NEED TO PRINT THESE FOR CLASS)

Calc I review sheet / Derivative Review / Integral Review	Chapter 8 practice	Week 1 Lectures: 8/17, 8/19, 8/21
5.6 worksheet	9.1 WORKSHEET	Week 2 Lectures: 8/24, 8/26, 8/28 solution 5.6 35b
5.7 worksheet	9.2 WORKSHEET	week 3 lectures: 8/31, 9/4
5.8 WORKSHEET	9.3 WORKSHEET	week 4 lectures: 9/9, 9/11
7.1 WORKSHEET	9.4 WORKSHEET	week 5 lectures: 9/16, 9/18
7.2 WORKSHEET	WS 9.3-9.6	week 6 lectures: 9/21, 9/25
7.3 WORKSHEET	WS 9.7	week 7 lectures: 9/30, 10/2

7.4-7.5 WORKSHEET	WS 9.8	week 8 lectures: 10/5, 10/7
8.1 WORKSHEET	WS 9.9 WS 9.10	week 9 lecture: 10/12, 10/14, 10/16
8.2 WORKSHEET	WS 10.1	week 10 lectures: 10/21, 10/23
8.3 WORKSHEET	WS 10.3	week 11 lectures: 10/26, 10/30
8.4 WORKSHEET	WS 10.4	week 12 lectures: 11/2, 11/4, 11/6
8.5 WORKSHEET	WS CH. 10 REVIEW	week 13 lectures: 11/9
8.7 WORKSHEET 8.8 WORKSHEET	WS DERIVATIVE REVIEW/FINAL EXAM WS INTEGRAL REVIEW/FINAL EXAM	week 14 lectures: 11/16, 11/18

week 15 lectures:

11/23, 11/25

week 16 lectures:

12/2, 12/4

week 17 lectures:

12/9

HOMEWORK:

DERIVATIVE REVIEW	CHAPTER 5	CHAPTER 8	CHAPTER 10
INTEGRAL REVIEW	CHAPTER 7	CHAPTER 9	SEMESTER HOMEWORK LIST

SOLUTIONS:

QUIZZES

Q1/5.6-5.8	Q3/8.4-8.5
Q2/8.1-8.3	Q4/9.1-9.3

EXAMS

E1/CH 5.6-5.8, 7.1-7.5	E3/CH 9
E2/CH 8	E4/CH 10

WORKSHEETS

DERIVATIVE REVIEW	5.7 WORKSHEET	8.2 WORKSHEET	8.5 WORKSHEET
INTEGRAL REVIEW	5.8 WORKSHEET	8.3 WORKSHEET	Ch. 8 practice
5.6 WORKSHEET	8.1 WORKSHEET	8.4 WORKSHEET	9.1 WS/9.2WS