Math 232-01           Calculus II           Spring 2008

Instructor

Office

Phone

Hours

Jimmie Lee Johnson

Auditorium Building, Room 416

(312) 341-3552
(Voice Mail)

MWF 9:00-9:30 , W 3:30-5pm
and by appointment

Class Time:
9:30am-10:50am
AUD Room 401

 

 

E-mail:  jjohnson@roosevelt.edu
Web Page:  http://faculty.roosevelt.edu/jjohnson/Fall2006/M232F06.htm

 

Text: Calculus Concepts and Contexts, Single Variable, by James Stewart. 3rd ed. Thomson Brooks/Cole 2005.

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 February 1st, 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.
Writing Reflections This is an essay of several paragraphs explaining a technique for problem solving using concepts from the class. It will also be used for assessment of your facility in writing about mathematical ideas. It is due on Monday, April 7th. The score will be used in your Quiz average as extra credit or as a negative amount, if not presented in a timely manner.

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 Monday, March 10th, and Monday April 21st. These will be closed book, but may require the use of a TI-83 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 May 9th, closed book and comprehensive. Some problems may require the use of a TI-83 graphing calculator. It will count for 35% of your grade.

Grades: Regulations covering grades (especially I and W) are on pages 254-255 of the 2006-2008 Undergraduate Catalog or on pages 203-204 of the 2005-2007 Graduate 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 Friday, March 28th, 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

January 28, 30
February 1

4.8
4.9

Newton's Method
Antiderivatives.

February 4, 6, 8

4.9
5.1

Antiderivatives
Areas and Distances

February 11, 13, 15

5.2
5.3

The Definite Integral
Evaluating Definite Integrals.

February 18, 29, 22

5.4
5.5

The Fundamental Theorem of Calculus.
The Substitution Rule

February 25, 27, 29

5.5
5.6

The Substitution Rule
Integration by Parts

March 3, 5, 7

5.6
5.7

Integration by Parts.

Additional Techniques of Integration, Review

March 10

Exam #1

Sections 4.8-4.9, 5.1-5.7

March 12, 14

5.9
4.5

Approximate Integration.
Indeterminate Forms

 March 17, 19, 21

No Classes

Spring Break

 March 24, 26, 28

4.5

5.10

Indeterminate Forms
Improper Integrals

March 31
April 2, 4

6.1
6.2

More about Areas, 
Volumes

April 7, 9, 11

6.3
6.4
6.7

Arc Length
Average Value of a Function
Probability.

April 14, 16, 18

8.1
8.2

8.3

Sequences
Series,
Integral and Comparison Tests, Review.

April 21

Exam #2

Sections 4.5, 5.9, 5.10, 6.1- 6.4,6.7

April 23, 25

8.3

8.4

Integral and Comparison Tests
Other Convergence Tests.

April 28, 30
May 2

8.5
8.6
8.7

Power Series
Representations of Functions as Power Series
Taylor and Maclaurin Series

May 5, 7

8.7
8.8

Taylor and Maclaurin Series
Binomial Series, Review

Friday May 9

Final

Comprehensive.

This page is at http://faculty.roosevelt.edu/jjohnson/Spring2008/M232S08.htm and was last revised January 24, 2008