SYLLABUS FOR MATHEMATICS 4B CALCULUS WINTER 2015
Professor
John Douglas Moore Office:
South Hall 6714 Office
hours: TuTh 3:30, W 1
Telephone:
893-3688 email: moore@math.ucsb.edu
Lectures:
Lotte Lehman Concert Hall TuTh
9:30-10:45
Text:
Boyce, Diprima, Elementary differential equations, 10th
edition, Wiley 2012. You can
either buy a hard copy from the UCSB Bookstore that includes online access, or
purchase an on-line only version of the text from Wiley.
Course web page:
http://www.math.ucsb.edu/~moore/Syllabus4BWinter2015.htm
Additional course information:
https://gauchospace.ucsb.edu/courses/
Tentative Grading Plan:
Midterm,
Thursday, February 5 25%
Homework
via WileyPlus about 10%
Quizzes
in Discussion Sections
about 15%
Class
Participation (iClickers) about 10%
Final,
Tuesday, March 17, 8-11am
40%
(The
percentages are tentative---the professor reserves the right to change them.)
EXAM PROCEDURE: You will need to sign your name, print your name and enter
your perm number, TA and discussion time on the midterm and the final. You need to bring identification to the
midterm and the final such as a current registration card.
Exams
will cover material presented in the lectures, as well as material from the
text and homework problems.
Section
quizzes will be given in almost every discussion section. (There is no discussion section quizzes
during the first week of classes.)
I-clickers:
You are responsible for making sure that your i-Clicker
is properly registered. Credit
will be given for i-Clicker responses to questions
posed within the lectures.
Homework:
will generally be due on Fridays at 6pm and will be available online through WileyPlus. See
website:
http://edugen.wileyplus.com/edugen/class/cls430277/
Calculators
and computers: You are encouraged
to use these when solving homework problems, particularly when finding
numerical answers, but calculators and
computers are not allowed on exams or the quizzes in discussion
sections. Notes and note cards are also prohibited during exams and quizzes.
Extra
help: I. Mathlab
in South Hall 1607 is staffed M-F noon-5pm by TA's who will be happy to help
you.
II.
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 quiz 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 you did. There are no makeup exams.
Optional
early final: There is a cost of
10%, which will be subtracted from your score for taking this early exam. The exam will probably be different
than the regular one and may be a little harder. You must inform me in writing by February 15 if you plan to
take this earlier exam, and you must give a reason that I find compelling.
Teaching
Assistants:
Changliang Wang, Office
hours Tu 11 6432J email: cwang@math.ucsb.edu
Xingshan Cui Office
hours Tu 11 SH 6432V email: xingshan@math.ucsb.edu
Lan Liu Office hours M 9
SH 6432U email: lanliu@math.ucsb.edu
Peter
Merkx Office hours M 9 6432L email: merkx@math.ucsb.edu
Laura
Veith Office hours M 3:30 SH6432 email:
lmveith@math.ucsb.edu
Discussion
sections:
1. Monday 8am NH 1109 Cui
2. Monday 12 pm Phelps 1445 Cui
3. Monday 4pm HSSB 1214 Cui
4. Monday 5pm HSSB 1227 Merkx
5. Monday 6pm HSSB 1227 Wang
6. Monday 7pm HSSB 1211 Veith
7. Wednesday 8am HSSB 1206 Liu
8. Monday 8am Girv
1112 Merkx
9. Wednesday 4pm HSSB 1223 Merkx
10.
Wednesday 5pm HSSB 1224 Merkx
11.
Wednesday 6pm HSSB 1227 Merkx
12.
Monday 12pm Girv 1116 Veith
13.
Monday 4pm HSSB 1215 Wang
14.
Monday 5pm HSSB 1228 Veith
15.
Monday 6pm HSSB 1228 Veith
16.
Wednesday 7pm HSSB 1223 Liu
17.
Monday 7pm HSSB 1223 Liu
TENTATIVE
COURSE OUTLINE
Tuesday, January 6: Basic mathematical models
(Chapter 1)
Thursday, January 8: Solutions to differential
equations (Chapter 1)
Tuesday, January 13: Linear differential
equations (2.1)
Thursday, January 15: Separable equations,
mathematical modeling (2.2, 2.3)
Tuesday, January 20: Nonlinearity, population
dynamics (2.4, 2.5)
Thursday, January 22: Exact equations, numerical
solutions (2.6,2.7)
Tuesday, January 27: Existence and uniqueness,
homogeneous linear systems (2.8, 3.1)
Thursday, January 29: Wronskian
(3.2)
Tuesday, February 3: Complex numbers and their
use in solving differential equations (3.3)
Thursday, February 5: MIDTERM
Tuesday, February 10: Complex roots, repeated roots
(3.3, 3.4)
Thursday, February 12: Nonhomogeneous
systems by undetermined coefficients (3.5)
Tuesday, February 17: Variation of parameters
(3.6)
Thursday, February19: First-order systems (7.1,
7.2)
Tuesday, February 24: Eigenvalues
and eigenvectors (7.3,7.4)
Thursday, February 26: Complex roots (7.5,7.6)
Tuesday, March 3: Fundamental solutions;
stability of linear systems (7.7, 9.1)
Thursday, March 5: Linearization of nonlinear
systems (9.2)
Tuesday, March 10: The pendulum with and without
damping (9.3)
Thursday, March 12: The predator-prey equations
(9.5)