ST. LOUIS COMMUNITY COLLEGE AT FLORISSANT VALLEY

COURSE OF STUDY

MTH:220

 

DEPARTMENT:                    Mathematics                     LAST UPDATE:  Fall 2008      

 

COURSE TITLE:       Analytic Geometry & Calculus II            CREDIT HOURS:      5

 

LECTURE HOURS PER WEEK:      5                                                                                                                                                                 LAB HOURS PER WEEK:  0

 

During the first week of the semester, it is the responsibility of each instructor to furnish, in writing, the course objectives and a course syllabus.  The objectives are stated below.  The syllabus should include expected outcomes, requirements, the method of evaluation, ground rules for class participation, grading policy, and an Americans with Disabilities Act (ADA) accommodations statement.

 

 

COURSE DESCRIPTION:

 

Logarithmic, exponential, inverse trigonometric, and hyperbolic functions - their definitions graphs, differentiation, and integration. Techniques of integration,  L'Hospitals rule,  improper integrals. Sequences and series: convergence tests, power series, Taylor polynomials and Taylor series.  Parametric equations and polar coordinates: graphs and other applications. A symbolic/graphing software package might be used to enhance the presentation of the topics

 

 

COURSE PREREQUISITE:

 

MTH 210 with a grade of C or better.

 

 

TEXT and CALCULATOR REQUIREMENTS:

 

Calculus, James Stewart 6th  edition,  Thompson/Brooks/Cole Publlishing.

 

The use of a TI 83/84 is required of every student in this course.

 

 

COURSE OBJECTIVES:

 

The student will…

  1. graph, differentiate, and integrate the logarithmic, exponential, inverse trigonometric, and hyperbolic functions as well as be able to use them in applications.
  2. use integration by parts, trigonometric substitutions, partial fraction technique, and other integration methods to compute integrals.
  3. evaluate indeterminate forms and improper integrals using the L'Hospital rule.
  4. recognize sequences and series and apply various tests to determine their convergence.
  5. represent functions by power series and use these representations in applications.
  6. recognize and graph conic sections using standard equations.
  7. graph plane curves using parametric and polar equations.
  8. will verify computations of derivatives and integrals, as well as plot the graphs of functions and curves using this software. [If a symbolic/graphing software package is used.]

 

 

 SUPPLEMENTARY MATERIALS:

 

1)      Instructors Guide

2)      Complete Solutions Manual

3)      Printed Test Items

4)      Transparencies

 

 

COURSE OUTLINE:

                                                                                                                                                                                                                                                                                                                                     

 

 

Suggested Time Allotment

Chapters

Topics and Sections

(number of weeks)

 

 

 

Chapter 7

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

3

 

7.1 through 7.8

 

 

 

 

Chapter 8

 Techniques of Integration

4

 

8.1 through 8.8 (8.6 optional)

 

 

 

 

Chapter 9

Further Applications of Integration

1

 

9.1 through 9.5 (Do 9.3 and 1-2 other sections)

 

 

 

 

Chapter 10

Differential Equations

 

 

SKIP – not in syllabus

 

 

 

 

Chapter 11

 Parametric Equations and Polar Coordinates

4

 

11.1 through 11.6(11.6 optional)

 

 

 

 

Chapter 12

 Infinite Sequences and Series

4

 

12.1 through 12.11 (12.11 optional)

 

 

 

 

 

 

        TOTAL:  16 weeks