SYLLABUS FOR MATHEMATICS 3C   CALCULUS   SPRING 2009

 

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

Telephone:  893-3688   email:  moore@math.ucsb.edu   (I may not be able to answer all emails.)

Lectures:   Lotte Lehman MWF 9AM

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

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

 

Course web page:  http://www.math.ucsb.edu/~moore/s3cspring2009.html

 

Midterm I, Friday, April 24   20%

Midterm II, Friday, May 15   20%

Homework   7-10%

Quizzes   7-10%

Final, Wednesday, June 10, 8-11am   40-50%

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

 

TARDIS Codes.  On all quizzes and exams, you will need to print your name, sign your name and print your TARDIS code.  You will receive your TARDIS code from your TA at your first discussion meeting.  TARDIS stands for TA, Regular Discussion, Individual Student.

 

QUIZZES AND EXAMS WITHOUT TARDIS CODES WILL NOT BE GRADED.

 

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.  Pop quizzes may occur during any lecture are most likely on mornings when attendance is a bit low.  It is impossible to make up a pop quiz.

 

Homework: available online at http://webwork.math.ucsb.edu/

 

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-F noon-5pm by TA's who will be happy to help you.  Help is also available through CLAS, the Campus Learning Assistance Service.   See http://www.clas.ucsb.edu/

 

Sickness or missing an exam:  If you miss a midterm or discussion section due to illness you should bring 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.

 

Optional early final on Friday, June 5:  There is a cost of 10% which will be subtracted from your score for taking this early exam.  The exam will be different than the regular one and may be a little harder.  You must inform me in writing by May 22 if you plan to take this exam.  You must give a reason that I find compelling.

 

Incompletes:  If you cannot complete the course because of a family tragedy, or some other reason, you must complete a form and give it to the registrar by 4pm, Friday, June 5.

 

Switching discussion sections:  You may be able to switch discussion sections, but this requires permission from both TA's involved.  Officially you will usually remain in the old discussion section.

 

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:

 

Garrett Johnson  (1),  SH 6432L, W3, Th 9 johnson@math.ucsb.edu

1.  Tu 7pm   Girv 2124   (0107)

2.  Th 8   Phelp 1420   (0108)

 

Drew Jaramillo (2),   SH 6431P, M12:30 drewj@math.ucsb.edu

1.  Tu 5pm   Arts 1426   (0102)

2.  Tu 6pm   Arts 1426   (0106)

3.  Th 8   HSSB 1211   (0112)

4.  Th 6pm   HSSB 1236   (0113)

 

Grace Kennedy (3),   SH 6432G, W4 kgracekennedy@math.ucsb.edu

1.  Th 5pm   HSSB 1228   (0109)

2.  Th 6pm   HSSB 2251   (0110)

3.  Th 7pm   Girv 2123   (0111)

 

Tim Speer  (4),   SH 6431D, speer@math.ucsb.edu

1.  Tu 8   Phelp 1420   (0101)

2.  Tu 5pm   Arts 1251   (0103)

3.  Tu 6pm   Arts 1247   (0104)

4.  Tu 7pm   Phelp 1420   (0105)

 

TENTATIVE COURSE OUTLINE

 

Monday, March 29: Population growth I (1.1 and 1.2 in text)

Wednesday, April 1: Population growth II (1.1 and 1.2)

Friday, April 3: Direction fields and qualitative theory (1.2)

 

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

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

 

Monday, April 6: Separation of variables (1.3)

Wednesday, April 8: Radioactive decay, Newton cooling (1.1 and 1.3)

Friday, April 10: Orthogonal trajectories and Euler method (1.3 and 1.4)

 

Monday, April 13: Numerical solutions to differential equations (1.4)

Wednesday, April 15: Picard Theorem  (1.5)

Friday, April 17: Linearity versus nonlinearity (2.1)

 

Monday, April 20: Solving linear differential equations I (2.2)

Wednesday, April 22: Solving linear differential equations II (2.2)

Friday, April  24: Midterm I

 

Monday, April 27: Mixing and cooling (2.4)

Wednesday, April 29: Logistic equation (2.5)

Friday, May 1: Systems of differential equations I (2.6)

 

Monday, May 4: Systems of differential equations II (2.6)

Wednesday, May 6: Systems of differential equations III (2.6)

Friday, May 8: Matrices (3.1)

 

Monday, May 11: Systems of linear equations (3.2)

Wednesday, May 13: Gauss-Jordan elimination (3.2)

Friday, May 15: Midterm II

 

Monday, May 18: Inverses (3.3)

Wednesday, May 20: Determinants I (3.4)

Friday, May 22: Determinants II (3.4)

 

Monday, May 25: MEMORIAL DAY

Wednesday, May 27: Vector spaces and subspaces I (3.5)

Friday, May 29: Vector spaces and subspaces II (3.5)

 

Monday, June 1: Bases and dimension I (3.6)

Wednesday, June 3: Bases and dimension II (3.6)

Friday, June 5: REVIEW