## 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]

MATH 250

### RECOMMENDED PREPARATION:

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

## ANNOTATED LECTURE PDF FILES

 WEEK 1 LECTURES: 1/12 1/14 1/14cont WEEK 7 LECTURES: 2/25 WEEK 13 LECTURES: 4/4 4/6 WEEK 2 LECTURES: 1/19 1/21 WEEK 8 LECTURES: 2/28 3/2 3/4 WEEK 14 LECTURES: 4/11 4/13 4/15 WEEK 3 LECTURES: 1/24 1/26 1/28 WEEK 9 LECTURES: 3/7 3/9 3/9cont 3/11 WEEK 15 LECTURES: 4/27 4/29 WEEK 4 LECTURES: 1/31 2/2 WEEK 10 LECTURES: 3/14 Ch. 8 parctice WS Solution 3/18 WEEK 16 LECTURES: 5/2 5/4 5/4cont 5/6 5/6cont WEEK 5 LECTURES: 2/7 2/9 2/11 WEEK 11 LECTURES: 3/21 no class 3/23 and 3/25-out-of-class assignment due 3/28 WEEK 17 LECTURES: 5/9 5/13 WEEK 6 LECTURES: 2/14 2/16 WEEK 12 LECTURES: 3/30 4/1 WEEK 18 LECTURES:

## IN-CLASS WORKSHEETS

 Calc I review sheet / Derivative Review / Integral Review Chapter 8 practice 5.6 worksheet 9.1 WORKSHEET 5.7 worksheet 9.2 WORKSHEET 5.8 WORKSHEET 9.3 WORKSHEET 7.1 WORKSHEET 9.4 WORKSHEET 7.2 WORKSHEET WS 9.3-9.6 7.3 WORKSHEET WS 9.7
 7.4-7.5 WORKSHEET WS 9.8 8.1 WORKSHEET WS 9.9  WS 9.10 8.2 WORKSHEET WS 10.1 8.3 WORKSHEET WS 10.3 8.4 WORKSHEET WS 10.4 8.5 WORKSHEET WS CH. 10 REVIEW 8.7 worksheet 8.8 WORKSHEET WS DERIVATIVE REVIEW/FINAL EXAM WS INTEGRAL REVIEW/FINAL EXAM

## HOMEWORK:

SEMESTER HOMEWORK LIST

## SOLUTIONS:

EXAMS

 EXAM 1 EXAM 2 EXAM 3 EXAM 4 EXAM 5

WORKSHEET 5.8

WORKSHEET 9.3-9.6

## HANDOUTS:

SYLLABUS

TENTATIVE SPRING 2011 SCHEDULE

TRIGONOMETRY REVIEW

CALCULUS & TRIG FORMULAS

LINEAR REGRESSION

CALCULUS I WEB PAGE

TRIGONOMETRY HANDOUTS

PRECALCULUS HANDOUTS

SURFING DERIVATIVE

TI CALCULATOR STEP-BY-STEP TUTORIALS

VISUAL CALCULUS

9.1 Powerpoint

9.2 Powerpoint

9.3 Powerpoint

9.4 Powerpoint

9.5 Powerpoint

9.6 Powerpoint

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