Welcome to the Mathematics Department at UCSB

Linear Algebra & Differential Equations

Math 5A - Winter 2006

The Classroom for the Final Exam will be GIRV 1004 (see below for more details regarding the final exam).
You need to have a Photo ID in order to take the Final Exam.

Instructor: Paolo Cascini

Teaching Assistants: Liana Dawson and Ryan Ottman

Lectures: MWF 1:00 - 1:50pm - NH 1006
Please check GOLD for the time and location of your discussion section. Note that attendance at a discussion section is mandatory.

Course Description: Math 5A is the second course of a two quarter sequence in Differential Equations and Linear Algebra. It is primarily a course on second-order linear differential equations with constant coefficients and systems of first order linear differential equations, together with some introductory linear algebra. See the Class Schedule below for more details.

Office Hours: Mon. 3:00pm - 4:00pm , Wed. 2:00pm - 4:00pm and by appointment.

Textbook: Differential Equations Linear Algebra by Farlow, Hall, McDill and West, 2002 Prentice-Hall Inc.

Please read the list of Frequently Asked Questions, before joining the Waiting List.

Grading: Quizzes 20%, Midterms 30%, Final Exam 50%.

Books, notes, calculators, scratch paper or collaboration will NOT be permitted on any of the exams or quizzes.

Midterms: There will be two midterms given in class on Feb. 3 and Mar. 3. Only the highest score within the two midterms will be counted for the final grade. There will be NO make-up exam for any of the midterms.

Quizzes: There will be three quizzes given during discussion section. Only the two highest scores will be counted for the final grade. There will be NO make-up date for any of the quizzes.

Homeworks: There are homework assignments for each day's lecture. The assignments are posted on the website. You are not required to turn in the homework.

Final Exam: The final exam will be held on Tuesday, March 21, from 7:30 to 10:30pm. Please note that the Classroom for the final exam is different than the room for the lecture (it will be announced here, as soon as it is available). The exam will cover all the material of the entire course. An incomplete may be assigned only for documented medical reasons.

Tentative Class Schedule

(Subject to change)

    Date         Reading         Topics         Homeworks    
M 1/09 App. CN Introduction Ex. 1,3,7,9,11
W 1/11 Ch. 4.1 The Harmonic Oscillator Ex. 3,5,21,25
F 1/13 Ch. 4.2 Real Characteristic Roots  
M 1/16   Martin Luther King, Jr. holiday  
W 1/18 Ch. 4.2 Real Characteristic Roots Ex. 1,3,13,15
F 1/20 Ch. 4.3 Complex Characteristic Roots Ex. 1,3,5,11,13,15
M 1/23 Ch. 4.3 Complex Characteristic Roots Ex. 21
W 1/25 Ch. 4.4 Undetermined Coefficients Ex. 21,23,25,27,29,35
F 1/27 Ch. 4.4 Undetermined Coefficients  
M 1/30 Ch. 4.6 Conservation and Conversion Ex. 1,2
W 2/01   Review  
F 2/03   First Midterm  
M 2/06 Ch. 5.1 Linear Transformations Ch. 4.6, Ex. 31, 33
Ch. 5.1, Ex. 1,3,5,7,9,11,13,17,31,33
W 2/08 Ch. 5.2 Linear Transformations Ex. 1,3,5,9
F 2/10 Ch. 5.3 Eigenvalues and Eigenvectors Ex. 1,3,5,7
M 2/13 Ch. 5.3 Eigenvalues and Eigenvectors Ex. 9,11   Extra: Ex. 37,43
W 2/15 Ch. 5.4 Coordinates and Diagonalization Ex. 25,27,29,31,33
F 2/17 Ch.6.1 Theory of Linear DE Systems Ex. 1,3,5
M 2/20   Presidents' Day holiday  
W 2/22   Canceled  
F 2/24 Ch. 6.2 Linear Systems with Real Eigenvalues  
M 2/27 Ch. 6.2 Linear Systems with Real Eigenvalues Ex. 1,3,5,9,15,17,19,21,29
W 3/01   Review  
F 3/03   Second Midterm  
M 3/06 Ch. 6.3 Linear Systems with Nonreal Eigenvalues   Ex. 1,3,5,9,13,15,19
W 3/08 Ch. 6.4 Decoupling a Linear DE System Ex. 1,3,5,7,9,11
F 3/10 Ch. 6.5 Stability and Linear Classification Ex. 1,3,5
M 3/13 Ch. 7.1 Nonlinear Systems Ex. 14,17,19
W 3/15 Ch. 7.2 Linearization Ex. 1,2,3
F 3/17   Review  

Department of Mathematics, South Hall. Room 6607 University of California Santa Barbara, CA 93016, phone (805) 893-2171, fax (805) 893-2385, 
email www.ucsb.edu, office hours m-f 8-12, 1-4