Math 135A, Winter 2008

• Instructor: Tom Duchamp
  E-mail: duchamp[at]math.washington.edu
  Office: C505 Padelford
  Phone: 543-1724
  Office Hours: 1:00-2:00, Tuesdays and Wednesdays; right after class on Mondays and Thursdays; or by appointment.
  
• Teaching Assistant: Sam Burden
  E-mail: sburden[at]u.washington.edu 
  Office: C115 Padelford
  Office Hours: TBA
  
• Class discussion e-mail list: math135a_wi08[at]u.washington.edu 
  (Note: You must use your UW e-mail account to send to this list. Also, the list gets updated every day,
  dropping everyone who is not officially enrolled in the class.)
  
• Prerequisites, enrollment status, etc.
  
• Text: Calculus: One and Several Variables (10th ed) by Salas-Hille-Etgen.
  
• Course Syllabus
  
• Regular meetings:
  • Lectures: 10:30-11:20 p.m., MTuWTh, Room 115 Smith Hall
  • Quiz: 10:30-11:20 p.m., Fri, Room 115 Smith Hall.
  • Midterm I: Monday, January 28
  • Midterm II: Tuesday, February 19
  • Final Exam: Monday, March 17, 8:30-10:20 a.m.
    (Official UW Exam Schedule for Winter 2008)

Daily Schedule

• Week 1 
  • Mon, Jan 7
    • Reading: §13.1,§13.2, §13.3
  • Tues, Jan 8
    • Reading: §13.3, §13.4
  • Wed, Jan 9
    • Reading: §13.5, §13.6
  • Thursday, Jan 10
    • Reading: §13.6, §13.7
    • Homework #1 (Now available)
• Week 2 
  • Mon, Jan 14
    • Reading: §14.1, §10.1-10.3
    • Homework #2 (Now available)
  • Tues, Jan 15
    • Reading: §14.2
  • Wed, Jan 16
    • Reading: §14.3, §14.4 (except proof of arclength formula)
  • Thursday, Jan 17
    • Reading: §14.4,§14.5. (Read §10.1--§10.7 over weekend)
• Week 3 
  • Tues, Jan 22
    • Reading: §14.5 (Frenet Formulas), Proof of the arclength formula.
    • Homework #3 (Now available)
  • Wed, Jan 23 Examples of curves, including conic sections.
  • Thursday, Jan 24 More examples of curves
• Week 4 
  • Mon, Jan 28
    • Midterm #1 ( Chapters §10.1--§10.7, 13, §14.1--§14.5) )
  • Tues, Jan 29
    • Reading: §11.1,§11.2, §11.3
    • Homework #4 (Now avialable)
  • Wed, Jan 30
    • Reading: §11.4
  • Thursday, Jan 31
    • Reading: Cauchy Sequences
• Week 5 
  • Mon, Feb 4
    • Reading: Fixed Points of Maps
    • Homework #5 (Now available)
  • Tues, Feb 5
    • Reading: §11.5, §11.6
  • Wed, Feb 6
    • Reading: §11.7
  • Thursday, Feb 7
    • Reading: §12.1, §12.2, , §12.3
• Week 6 
  • Mon, Feb 11
    • Reading: §12.4,, §12.5
    • Homework #6 (Now available)
    • Notes on the Integral Test
  • Tues, Feb 12
    • Reading: §12.6, , §12.7
    • Notes on Taylor Polynomials
  • Wed, Feb 13
    • Reading: §12.7, §12.8
  • Thursday, Feb 14
    • Reading: §12.8
• Week 7 
  • Tues, Feb 19
    • Reading: §12.9
    • Homework #7 (Now available)
  • Wed, Feb 20
    • Reading: Complex Numbers
  • Thursday, Feb 21
    • Reading: Complex Numbers (cont)
  • Friday, Feb 22
    • Midterm II: Chapters 11 and 12
• Week 8 
  • Monday, Feb 25
    • Reading: §9.3 and pages 1--8 of the handout Second Order ODEs (handout)
    • Homework #8 (Now available)
  • Tues, Feb 26
    • Reading: Pages 8--12 of Second Order ODEs
  • Wed, Feb 27
    • Reading: §19.4 and pages 12--20 of Second Order ODEs
  • Thursday, Feb 28
    • Reading: The Harmonic Oscillator (§19.5 and pages 21--25 of Second Order ODEs)
  • Friday, Feb 29
    • Reading: Resonance (§19.5 and pages 25--31 of Second Order ODEs)
    • Homework #9 (Now available)
• Week 9 
  • Monday, Mar 3: Quiz Section
  • Tues, Mar 4
    • Reading: Resonance (continued)
  • Wed, Mar 5
    • Reading: Power Series Methods
  • Thursday, Mar 6
    • Reading: Power Series Methods (continued)
  • Friday, Mar 7
    • Reading: Singular Points (handout)
• Week 10 
  • Monday, Mar 10
    • Reading: Laplace Transoforms
  • Tues, Mar 11
    • Reading: Solution of ODEs using Laplace Transforms
  • Wed, Mar 12
    • Topic: Picard Iteration (Existence and Uniqueness of solutions of ODE's
    • Homework #10 (Now available)
• Thursday, Mar 13
  • Existence and Uniqueness of solutions of ODEs (continued).