MA 527 Schedule and assignments, Fall 2012, Professor Cai

Textbook: See the note concerning our text at the MA 527 homepage

Homework requirements:
  Explain your answers clearly. No credit will be given for correct answers with no explanation.

  For on-campus students:
      Homework is collected in class, typically on Wednesday. Staple all loose sheets of your homework.

  For off-campus students (streaming video):
      Homework should be submitted in pdf format using blackboard. See the note on our main page about using blackboard.

PDF: If you need the ability to create pdf files, you might try PDFCreator. Just be careful about what you agree to install since it asks if you want to install a toolbar that many consider annoying or even malicious. You may also want to use MergePDF if you need to combine multiple pdf files.
     


Other resources: There are some online notes here that include examples for most of the kinds of problems we'll study in the linear algebra section of our class.

Schedule:

Click on Chapter for the corresponding notes.
If you need video downloads of the lectures, please email zcai@math.purdue.edu
 

Chapter 7: Linear systems

<-- -->
Lecture 1 7.1
7.2 		p.261: 9,12,13;
p.271: 12,14,17,29;
Lecture 2 7.3 p.280: 3,9,18;
Lecture 3 7.4 p.287: 2,9,12,14,15,17,32,34
    HW1: All problems listed above for lectures 1-3 are due Aug 29 <--   Solutions for HW1 PTR Solutions for HW1 EPEa Solutions for HW1 EPEb -->
 
    The solutions here and below are student solutions. Only the selected problems have been checked for correctness - verify the other solutions for yourself or ask for clarification.
Lecture 4 7.5
7.6 		p 287: 1, 5, 7. Also find the null space and nullity for each matrix.
Lecture 5 7.6-7.6
7.8 		p 300: 4,7,12,22;
p 308: 2,5,20
Lecture 6 7.9 p 318: 3,4,6,9,12,22 Solution for #4
    HW2: All problems for lectures 4-6 due Sept 5 <--   Solutions for HW2 PTR Solutions for HW2 EPEa -->

Chapter 8: Eigenvalue problems

Lecture 7 8.1 p 329: 4,11,12,24   Eigenvalue applet
Lecture 8 8.3
8.5 		p 338: 3,6,8;
p 351: 1,2,5,13 (spectrum is defined at the beginning of section 8.1)
    HW3: All problems for lectures 7-8 due Sept 12 <--   Solutions for HW3 PTR Solutions for HW3 EPEb -->
 
Lecture 9 8.4 p 345: 1,9,10,24,25

Chapter 4: Systems of ODEs

Lecture 10 4.1,4.2 p 136: 5,7,12
Lecture 11 4.3 4.3a p 147: 3,13,18
    HW4: All problems for lectures 9-11 due Sept 19 <--   Solutions for HW4 PTR, Solutions for HW4 EPEa Solutions for HW4 EPEb -->
 
Lecture 12 4.4 p 151: 3,5,7,11
Lecture 13 4.5 p 159: 4,7,11
Lecture 14 4.6 4.6a 4.6#10 p 163: 3,11
    HW5: All problems for lectures 12-14 due Sept 26
  Solutions for HW5 PTR, Solutions for HW5 EPEa Solutions for HW5 EPEb

Chapter 6: Laplace Transforms

Table of Elementary Laplace Transforms
Lecture 15 6.1 6.1a p 210: 1,2,5,13,14,23,30,32
Lecture 16 6.2 6.2a p 216: 4,5,17,19,26
Lecture 17   Review
Lecture 18   Review
An interesting article on studying: To Really Learn, Quit Studying and Take a Test
Lecture 19   Exam 1 - Chs 7, 8, 4; Oct 3
Practice Problems Solutions for Practice Problems 1-4 Solutions for Practice Problems 5-13
Exam 1A with solutions. Exam 1B with solutions.
Lecture 20 6.3 6.3a p 223: 6,10,13,16,25,39
    HW6: All problems from lectures 15, 16, 20 due Oct 10
  Solutions for HW6 PTR, Solutions for HW6 EPEa Solutions for HW6 EPEb
Lecture 21 6.4 6.4a p 230: 3,10,14ab
Lecture 22 6.5 6.5a p 237: 7,8,23
    HW7: All problems from lectures 21-22 due Oct 17
  Solutions for HW7 PTR, Solutions for HW7 EPEa Solutions for HW7 EPEb
Lecture 23 6.6 6.6a p 241: 3,8,10,16
   
Lecture 24 6.7 6.7a
12.12 		p 246: 3,12;
p.602: 5     Note: 12.12 in 10th ed. is 12.11 in 9th ed.

Chapter 11: Fourier series, integrals and transforms

Lecture 25 11.1 11.1a p 482: 12,14,18
    HW8: All problems from lectures 23-25 due Oct 24
  Solutions for HW8 PTR, Solutions for HW8 EPEa Solutions for HW8 EPEb
Lecture 26 11.2 11.2a p 490: 11,20,24,29   Fourier applet
Sec 11.2 in 10th edition is 11.3 plus 11.4 in 9th
   
Lecture 27 11.3 11.3a
11.4 		p 494: 2,6;
p 498: 8,11,12
    Secs 11.3 and 11.4 in 10th edition are 11.5 and 11.6 in 9th
   
Lecture 28 11.5 11.5a p 503: 5,7,13
    Sec 11.5 in 10th edition is 5.7 in 9th
    HW9: All problems from lectures 26-28 due Oct 31
  Solutions for HW9 PTR, Solutions for HW9 EPEa Solutions for HW9 EPEb
Lecture 29 11.6 11.6a p 509: 1,3,5 (Use p. 178 for each. 'Develop' means to write the given function as a Fourier-Legendre series)
    Sec 11.6 in 10th edition is 5.8 in 9th
Lecture 30 11.7 11.7a p 517: 1,11,18
Lecture 31   Review 1 for Exam 2
Lecture 32   Review 2 for Exam 2
33   Exam 2 - Chapter 6, Section 12.12, and Chapter 11 (11.1-11.5); Nov 7 In class
Practice Problems for Exam 2 Exam 2A with solutions. Exam 2B with solutions. Exam Off-Campus with solutions.
Lecture 34 11.8 11.8a p 522: 1,2,3,5 (hint for #2: use Dirichelt Discontinuous Factor (7) on page 514)
    HW10: All problems from lectures 29, 30, 34 due Nov 14 Solutions for HW10 PTR, Solutions for HW10 EPEa Solutions for HW10 EPEb
 
Lecture 35 11.9 p 532: 3,4,7
   
 

Chapter 12: Partial differential equations


  -->
Lecture 36 12.1
12.2 		p 542: 2,8,10,19     Wave equation applet
Lecture 37 12.3 12.3a p 551: 11 (Do only by Fourier series and do not sketch), 15 (There are more solutions than those given), 16 Solution for #11
  HW11: All problems from lectures 35-37 due Nov 28 Solutions for HW11 PTR Solutions for HW11 EPEa Solutions for HW11 EPEb
Lecture 38 12.4 12.4a p 556: 8 (Like example 1 in 12.3: give 4 graphs), 19 (separation of variables)
   
 
Lecture 39 12.5 12.5a
12.6 		p 566: 7,10,11 Solution for #10
Secs 12.5 plus 12.6 in 10th edition are 12.5 in 9th
   
Lecture 40 12.6
12.10 12.10a 		p 567: 18,21
p 591: 4abc
Sec 12.10 in 10th edition is 12.9 in 9th
   
Lecture 41 12.8
12.9 		p 584: 4,5,7,18
Secs 12.8 and 12.9 in 10th edition are 12.7 and 12.8 in 9th
    HW12: All problems from lectures 38-41 due Dec 5 Solutions for HW12 PTR Solutions for HW12 EPEa Solutions for HW12 EPEb
 
   
Lecture 42   Review 1
Lecture 43   Review 2 Formulas for Final
Sample problems for final exam
Answers for sample problems
Solutions for sample problems
Summary of basic PDE solutions
     
  Final exam Tuesday, Dec 11, 1-3pm, ME 1130