math2280

University of Utah
Department of Mathematics

Math 2280 Partial Differential Equations
MTW F 9:40 - 10:30 am MWF: OSH 233 ; T: WBB 617

Textbook: Differential Equations and Boundary Value Problems,
                Edwards and Penney (4th edition, Prentice Hall)

Instructor: Professor Elena Cherkaev
   Office: LCB 206 ph: 581-7315   email:elena@math.utah.edu
   Office hours: MWF 10:45 -11:30 am and by appointment

Syllabus

How to connect to UU - answer of our computer guru Pieter Bowman

How to start Maple: Introduction to Maple by Angie Gardiner
Introduction to Maple (download this mws file then open it in Maple)

Maple13 Quick Reference Card (unix)

Tentative tests schedule:

Test 1 - Friday, Oct. 2 Practice test Solns to practice test Solns to test 1
Test 2 - Friday, Nov. 13 Practice test Solns to practice test Solns to test 2

Final exam - Thursday, Dec. 17: 8:00 - 10:00 am
Practice problems for the final test Solns to practice problems

No work - no credit : Please show all work!

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Assigned Homework Problems: ( Please, NO LATE HOMEWORKS! )
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Hw 1 : Due Sept 2 Solutions to selected problems

Aug 24: Ex. 1.1 # 4, 6, 15, 27, 31, 35, 36

Aug 25:    Computer lab set up: Maple example (slope field)
                 for Matlab, download dfield7 from John C. Polking's website:
                   http://math.rice.edu/~dfield/index.html#7.0
Aug 26:    Ex. 1.2    6, 18, 35, 40, 44;
                Ex. 1.3 use Maple or Matlab in problems 8, 9, 10

Aug 28: Ex. 1.3 21, 23, 27, 33 (use the slope field provided)
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Hw 2 : Due Sept 9 Solutions

Aug 31: Ex. 1.4 # 3, 7, 17, 23, 27, 31, 35, 50, 52

Sept 1: Ex. 1.5 # 3, 7, 17, 27, 29, 35 + bonus: 31, 32

Sept 2: Ex. 1.5 # 33, 43

Sept 4: Ex. 1.6 # 31, 33, 36, 37 + (19 - 22) solve using Maple, Matlab or Mathematica

see examples: Maple example (dsolve); Maple example (dsolve, mws-file);
Matlab7 example (dsolve)
Problem 19 using Maple

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Hw 3 : Due Sept 16 Solutions

Sept 8: Ex. 2.1 # 1, 3, 13, 14, 22, 23, 35, 36, 39

Sept 9: Ex. 2.2 # 3, 5, 6, 9, 11, 15, 17, 23, 29

Sept 11: Ex. 2.2 # 19, 21, 27

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Hw 4 : Due Sept 23

Sept 14: Ex. 2.4 # 3, 5, 7, 8, 23, 27, 29, 30
Euler method: Maple (euler.mws), (euler.pdf) Matlab file (euler.m)

Sept 15: Ex. 2.5 # 3, 5, 7, 8, 17, 21, 23, 27
Improved Euler method Matlab .m-file Maple example (.mws), Maple example (.pdf)

Sept 16: Ex. 2.6 # 3, 5, 7, 8 Runge-Kutta method: Maple (rk.mws), (rk.pdf) ; Matlab .m-file

Sept 18: Ex. 3.1 # 4, 5, 6, 11, 12, 15

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Hw 5 : Due Sept 30 Solutions

Sept 21: Ex. 3.1 # 19, 27, 28, 32, 33, 39, 41, 43, 44, 47

Sept 22: Ex. 3.2 # 2, 5, 7, 9, 14

Sept 23: Ex. 3.2 # 16, 17, 21, 23, 24 + bonus: 33, 34
Sept 25: Ex. 3.3 # 1, 12, 21, 25, 33

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Hw 6 : Due Oct 7 Solutions

Sept 28: Ex. 3.2 # 21, 23, 24

Sept 29: Ex. 3.5 # 1, 3, 9, 17, 31, 32, 33

Sept 30: Ex. 3.5 # 47, 51
Oct 2: test

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Hw 7 : Due Oct 21 -- after fall break Solutions

Oct. 5: Ex. 3.4 # 13, 14, 15, 17, 24, 27, 30

Oct. 6: Ex. 3.6 # 3, 13, 17, 24

Oct. 7: Ex. 3.7 # 11, 20, 23, 24
Oct. 9: Ex. 3.8 # 1, 3, 6, 7, 12, 13

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------------------ FALL BREAK ----------------------------------------------------

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Hw 8 : Due Oct 28 Solutions

Oct 19:    Ex 4.1   #   1, 8, 11. 12. 16. 17. 21
Oct 20:    Ex 4.3 # Project: Comets     (Due Nov. 4) Use Maple/Matlab to solve systems
Oct 21: Ex 5.1 #    4, 5, 6, 7, 9, 17, 22, 26, 31, 35 Use Maple/Matlab to invert matrix
Oct 23: Ex 5.2 #    2, 3, 4, 5, 38, 42, 43, 45 Use Maple/Matlab for eigenvalues/eigenvectors

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Hw 9 : Due Nov. 4 Solutions Project - maple calculation of orbit of Halley's Comet

Oct. 27: Ex. 5.2 # 8, 9, 14, 21, 25, 44

Oct. 27:      Ex. 5.3 - any 3 problems of your choice
Oct. 28:      Ex. 5.4 # 1, 3, 5, 7
Oct. 30:      Ex. 5.4 # 12, 13, 14, 35 + bonus 32

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Hw 10 : Due Nov. 11 Solutions
Nov. 2: Ex. 5.5 # 1, 3, 5, 11

Nov. 3:      Ex. 5.5 # 9, 10, 23, 27
Nov. 4:      p. 360-361: 5.5 Automated matrix exponential solutions
Nov. 6:      Ex. 5.6 # 5, 9, 21-22, 31

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Hw 11 : Due Nov. 18 Solutions

Nov. 9: Ex. 6.1 # 9, 12, 14, 17, 18

Nov. 10:    Ex. 6.2 # 1, 3, 7. 33
Nov. 11:
Nov. 13:    midterm exam: chapters 3, 4, 5

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Hw 12 : Due Nov. 25

Nov. 16: Ex. 6.3 # 8-10, 14-17 Project p. 412: Your Own Wildlife Conservation Preserve Your

Nov. 17: (project is due Nov.30 after Thanksgiving)
Nov. 18: Ex. 7.1 # 8, 19, 20, 26, 30, 39
Nov. 20: Ex. 7.2 # 4, 7, 15, 20

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Hw 13 : Due Dec. 2

Nov. 23: Ex. 7.3 # 3, 10, 13, 16, 28, 30

Nov. 24: Ex. 7.4 # 6, 13, 23
Nov. 25: Ex. 7.5 # 5, 6, 8, 16, 29, 38

Nov. 27: Thanksgiving break

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Hw 14 : Due Dec. 9

Nov. 30: 7.6 # 3, 6, 7, 11, 19, 22 Use Maple/Matlab to compute Fourier series
Dec. 1: 9.1 # 4, 9, 18, 21, 22, 24; 9.2 # 9, 10, 12, 14

Dec. 2: 9.3 # 4, 6, 7, 9, 15
Dec. 4: 9.5 # 3, 6, 13, 15

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Hw 15 : Due Dec. 11

Dec. 7: 9.5 # 7; 9.6 # 4, 6, 21
Dec. 8: 9.6 # 3, 5, 9

Dec. 9:
Dec. 11: Review for the final

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Final exam - Thursday, Dec. 17: 8:00 - 10:00 am

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Reading material for the 1-st week:

1.1 Differential Equations (2.3Mb)
1.2 Integrals (1.4Mb)

1.3 Slope fields (2Mb)

Tutoring is available in T. Benny Rushing Mathematics Center

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