SYLLABUS FOR MATHEMATICS 3C CALCULUS SUMMER 2009

Professor John Douglas Moore Office: SH 6714 Office hours: MTuW 1:45-2:45

Telephone: 893-3688 Email: moore@math.ucsb.edu

Lectures: North Hall 1006, MTWR 12:30-1:35

Text: Farlow, Hall, McDill and West, Differential equations and linear algebra, UCSB edition.

Syllabus: Chapters 1-3. A few topics in sections 4.1 and 7.1 may also be introduced.

Course web page: http://www.math.ucsb.edu/~moore/s3csummer2009.htm

Midterm I, Thursday, August 13 22.5%

Midterm II, Thursday, August 27 22.5%

Homework 10%

Quizzes 10%

Final, Thursday, September 10 35%

(The percentages are tentative--- the professor reserves the right to change them.)

Exams will cover material presented in lecture, as well as material from the text and homework problems. The quizzes in discussion sections will also help prepare for midterms and finals.

Quizzes in discussion sections: Quizzes will be given in most discussion sections.

Pop quizzes: It is very important not to skip class and to arrive on time for class. Unannounced pop quizzes may occur during any lecture, and are most likely on days when attendance is a bit low. It is impossible to make up a pop quiz.

Homework: available online at http://webwork.math.ucsb.edu/ Your username and password have both been set equal to your perm number. (You can change your password if you want.) Usually homework will be due on Thursdays and Fridays. The first assignment is due Thursday, August 6.

Calculators and computers: You are free to use these when solving homework problems, but calculators and computers are not allowed on exams or quizzes.

Help! Mathlab in South Hall 1607 is staffed M-R 11-4, F 12-3 by TA's who will be happy to help you. Help is also available through CLAS, the Campus Learning Assistance Service. For more information see http://www.clas.ucsb.edu/

Sickness or missing an exam: If you miss a midterm or discussion section due to illness you should give your TA a note from a medical worker or another person in a position of responsibility. At the discretion of the TA, you will be given an average based upon the other work that you have completed. There are no makeup exams.

Late adds: If you add this class late, you must talk to your TA who will arrange for you to have an average score for the work you missed based upon the work you do after adding.

Teaching Assistants and Discussion Sections:

1. Sonja Mitchell, SH 6432E, office hrs M8:30-10:30, smitchell@math.ucsb.edu

1. MW 3:30-4:20 HSSB 1227

2. MW 2:30-3:20 HSSB 1227

2. Grace Kennedy, SH 6432G, office hrs M10:30-12:30, kgracekennedy@math.ucsb.edu

1. TR 3:30-4:20 HSSB 1227

2. TR 2:30-3:20 HSSB 2251

TENTATIVE COURSE SCHEDULE

Monday, August 3: Population growth (1.1 and 1.2 in text)

Tuesday, August 4: Direction fields and qualitative theory I (1.2)

NOTE: Direction fields can be plotted using a free on-line program available from:

http://math.rice.edu/~dfield/dfpp.html

Wednesday, August 5: Direction fields and qualitative theory II (1.2)

Thursday, August 6: Separation of variables and orthogonal trajectories (1.3)

Monday, August 10: Numerical solutions to differential equations (1.4)

Tuesday, August 11: Picard Theorem (1.5)

Wednesday, August 12: Linearity versus nonlinearity (2.1)

Thursday, August 13: MIDTERM 1

Monday, August 17: Solving linear differential equations I (2.2)

Tuesday, August 18: Solving linear differential equations II (2.2 and 2.3)

Wednesday, August 19: Radioactive decay (2.3)

Thursday, August 20: Mixing and cooling, logistic equation (2.4 and 2.5)

Monday, August 24: Systems of differential equations I (2.6)

Tuesday, August 25: Systems of differential equations II (2.6)

Wednesday, August 26: Matrices (3.1)

Thursday, August 27: MIDTERM 2

Monday, August 31: Systems of linear equations (3.2)

Tuesday, September 1: Inverses (3.3)

Wednesday, September 2: Determinants (3.4)

Thursday, September 3: Vector spaces and subspaces (3.5)

Monday, September 7: LABOR DAY HOLIDAY

Tuesday, September 8: Bases and dimension I (3.6)

Wednesday, September 9: Bases and dimension II (3.6)

Thursday, September 10: FINAL EXAM