M21-122 Integration, Differential Equations, and Approximation

Spring 2005 Course Information

Instructor:

D.Brandon

Teaching Assistants: Homework Assignments and Announcements

Text: Calculus: Early Transcendentals, James Stewart, Brooks/Cole , 5th edition.

Course Description:

This course is divided into three parts: integration, differential equations, and sequences and series.

In the first part of the course we'll discuss techniques of integration, improper integrals, and numerical integration. The second part focuses on solving ordinary differential equations. We'll start out with first order equations-separable differential equations and first order linear differential equations. We will then study homogeneous second order linear differential equations with constant coefficients.

The final part of the course involves approximation.  We'll first talk about Newton's Method (a numerical scheme for solving algebraic equations), and then move onto sequences and series, ending with Taylor's Theorem.

Sections in the text will be covered approximately according to the following schedule:
 
MONDAY
WEDNESDAY
FRIDAY
January 10
Sections 5.5, 7.1 (review) 
January 12
Section 7.2
 January 14
Sections 7.2, 7.3
 January 17
Section 7.3, 7.4
 January 19
Sections 7.4
 January 21
Section 7.4
 January 24
Section 7.4, 7.5
 January 26
Section 7.5, 7.7
 January 28
Class Cancelled
 January 31
Sections 7.7, 7.8
February 2
Sections 7.8, 8.1
 February 4
Section 8.1, 9.3
 February 7
No Class
 February 9
Section 9.3
 February 11
Sections 9.3, 9.6
 February 14
Section 9.6
 February 16
TEST 1
 February 18
Section 17.1
 February 21
Sections 17.1
 February 23
Sections 17.1, 4.9
 February 25
Section 11.1
 February 28
Section 11.1
 March 2
Sections 11.1
 March 4
No Class
 March 7
No Class
 March 9
No Class
 March 11
No Class
 March 14
Section 11.1, 11.2
 March 16
Sections 11.2
 March 18
Section 11.3
 March 21
Sections 11.4, 11.5
 March 23
Section 11.5, 11.6
 March 25
TEST 2
 March 28
Section 11.6
 March 30
Sections 11. 7
 April 1
Section 11.8
 April 4
Section 11.8, 11.9
April 6
Section 11.9, 11.10
 April 8
Section 11.10
 April 11
Section 11.10
April 13
Section 11.10
 April 15
No Class
 April 18
Sections 11.10, 11.12
 April 20
Section 11.12
 April 22
TEST 3
 April 25
Section 11.12
April 27
Review
April 29
Review 

Some modification of the above schedule may take place depending on the pace of the course.

Academic Honesty:

The university guidelines, as stated in the student handbook, will bw applied to ensure academic honesty.

Exams:

There will be three 50 minute tests and one (three hour) comprehensive final exam.
Make-ups for the tests will be given only for legitimate reasons (e.g. documented  illness, family emergency, or University-sponsored trips). Permission to take a make-up can be obtained only from your instructor, not your TA.
 


Final Date:

Monday, May 9, 1:00-4:00 pm, in McConomy Auditorium (UC).

Homework:

There will be weekly homework assignments posted on  the
                          Homework Assignments and Announcements
 website on  Tuesdays, to be collected on Thursday (at the beginning of recitation) of the following week.
Only problems marked with an asterisk (*) need to be turned in, and of those 4-5 problems will be graded carefully.
Your 2 lowest scores on the homework or 2 missed homeworks will be dropped when computing your final grade.

Quizzes:

We will have approximately 10 (pop) quizzes, given at various times during recitation or lecture. These will generally be unannounced. Your two lowest quiz scores or missed quizzes will be dropped. There will be NO make-ups for quizzes!

Grades:

Your midsemester grade will be based on your performance in Test 1.

Your final course grade will be determined using the following weights:
 


Go to:

CMU homepageMath. Sci. Dept. homepage

Revised: Mon Jun 2 15:08:39 EDT 1997
by: Florin Manolache, florin@andrew.cmu.edu