Math 232-01           Calculus II           Fall 2009

Instructor

Office

Phone

Hours

Jimmie Lee Johnson

Auditorium Building, Room 416

(312) 341-3552
(Voice Mail)

MWF 9:00-9:30
and by appointment

Class Time:
9:30am-10:45 am
AUD Room 426

 

 

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E-mail:  jjohnson@roosevelt.edu
Web Page:  http://faculty.roosevelt.edu/jjohnson/Fall2006/M232F09.htm

 

Text: Calculus Early Transcendentals, by Dale Varberg, Edwin J. Purcell, & Steven E. Rigdon. Pearson/Prentice Hall 2007.

Prerequisite: Grades of C or better in MATH 231 Calculus I or Placement Exam.

Class will consist of examples, problem solving and the answering of questions. Prior to each class, you must do the assigned reading or you will be lost; make notes of topics you feel need elaboration in class. You are responsible for all assigned reading even if it is not discussed in class.  Class will consist of:
     1. a short quiz each week;
     2. a question and answer period on the current assignment; and
     3. discussion of new material via examples. Have questions ready!

Quizzes will be given each Friday beginning September 11th, except for the weeks of the exams. The quizzes will be closed book and will count for 10% of your grade. The two lowest quiz grades will be dropped. No make-ups; a missed quiz will count as one of the dropped grades (up to the maximum of two).

Homework will be collected, discussed, graded and eventually returned; please leave the assignment on the instructor's desk whether I ask for it or not. Homework will count for 10% of your grade. Late homework may be downgraded. Homework later than one week after the appropriate exam will not be graded. Homework later than the last regular day of class will not be graded.

Maple Problems will be assigned and due at various times during the semester; please leave the assignment on the instructor's desk whether I ask for it or not. Their average will count for 10% of your grade. Timely work is needed to get full credit.

Exams will be given on Friday, October 23rd, and Friday November 13th. These will be closed book, but may require the use of a graphing calculator. Their average will count for 35% of your grade. No make-ups except for excused absences with advance notice. The score on the next exam will be used for both.

Final Examination: will be given on Friday December 11th, closed book and comprehensive. Some problems may require the use of a graphing calculator. It will count for 35% of your grade.

Grades: Regulations covering grades (especially I and W) are on the online catalog. Incompletes will not be given, except to a student who has done passing work up to the Final Examination (including most of the homework) but misses the final exam because of an excused absence with advance notice. The last day to drop a class (with a grade of "W") is Thursday, November 5th, and the drop form must be submitted to the Registrar's Office. Anyone registered after that must be graded solely on academic performance.


Goals: Upon completion of this course, the student will be expected to be able to use integration in a variety of applications. This will include being able to find complicated indefinite integrals by various methods as well as to be able to approximate definite integrals to a required amount of accuracy.  The extension of definite integrals to improper integrals should be readily accomplished by the student. The student should be able to find the limits, when they exist, of a variety of sequences and series as well as approximate a variety of functions by power series to a required amount of accuracy.

Syllabus
(The basic definitions and properties of the derivatives of functions are assumed from MATH 231.)

Date

Sections

Topics

August 31,
September 2, 4

5.1
5.2

Introduction to Area
The Definite Integral

Holiday September 7,
September 9, 11

5.3
5.4

First Fundamental Theorem of Calculus
Second FTC & Method of Substitution

September 14, 16, 18

5.5
5.6

Mean Value Theorem & Use of Symmetry
Numerical Integration

September 21, 22, 23

6.1
6.2

Area of a Plane Region
Volume of Solids: Slabs, Disks, Washers

September 28, 30.
October 2.

6.3
6.4
6.5

Volumes of Solids of Revolution: Shells
Length of a Plane Curve
Work and Fluid Force

October 5, 7, 9

6.6
6.7
7.1

Moments and Centers of Mass
Probability and Random Variables
Basic Integration Rules

October 12. 14, 16

7.2
7.3
7.4

Integration by Parts
Some Trigonometric Integrals
Rationalizing Substitutions

October 19, 21

7.5
7.6

Integration using Partial Fractions
Strategies for Integration; Review

F October 23

Exam #1

Chapters 5, 6, Sections 7.1, 7.2, 7.3, 7.4

October 26, 28, 30

7.7
7.8
8.1

First Order Linear Differential Equations
Approximations for Differential Equations
Indeterminate Forms of Type 0/0

November 2, 4, 6

8.2
8.3
8.4

Other Indeterminate Forms
Improper Integrals: Infinite Limits
Improper Integrals: Infinite Integrands

November 9, 11

9.1
9.2

Infinite Sequences
Infinite Series; Review

M November 16

Exam #2

Chapters 7, 8

November 16, 18, 20

9.3
9.4
9.5

Positive Series: Integral Test
Positive Series: Other Tests
Alternating Series, Absolute Convergence

November 23

9.6
9.7

Power Series
Operations on Power Series

November 25-27

 

No Classes - Thanksgiving Break

November 30
December 2, 4

9.8
9.9

Taylor & Maclaurin Series
Taylor Approximation to a Function;

December 7, 9

Review

F December 11

Final

Comprehensive.

This page is at http://faculty.roosevelt.edu/jjohnson/Fall2009/M232F09.htm and was last revised November 6,2009