Math 353 - Differential Equations

  Sec. 1, Cowley Hall 111, 12:05-1:10 MWF

Instructor: Dr. Jeff Baggett
Office: 1026 Cowley Hall
Phone: 785-8393
email: baggett.jeff@uwlax.edu

   
If you find problems with links on the website, or missing material, please email me
   
12/16 Final Exam, 7:45-9:45 am, Cowley 111.
  Week 15
12/14 Worked review problems.
Solutions Test 1, Solutions Test 2, Solutions Test 3
Blank Test 1, Blank Test 2, Blank Test 3
12/12 Handed back test 3 and went over it. 
  Week 14
12/9 Mathematica Demo for Wave Equation
wave_new.nb
12/7 10.7 Wave Equation
12/5 Class cancelled
  Week 13
12/2 Test 3
11/30 Test 3 discussion
11/28 10.6 More Heat Equation
Class Notes - did work at board today
Homework 6 Solutions
Homework 7 Solutions
  Week 12
11/25 NO CLASS - Thanksgiving Holiday
11/23 Project review
blank Class Notes
filled in Class Notes
11/21 10.5 Heat Equation
Class Notes
  Week 11
11/18 10.3 Convergence, 10.4 Even/Odd
Class Notes
11/16 10.2 Fourier Series continued
Class Notes (includes some blank notes for 11/14)
11/14 10.2 Fourier Series
Class Notes (worked at board - handout in class)
  Week 10
11/11 10.1 Boundary Values Problems
Class Notes
HW: 1, 2, 7, 11, 14 16, 21
HW Set 7 (Due 11/18)
Project 1 (Due 12/5)
11/9 6.5 Impulse Functions
Class Notes
11/7 6.4 IVP with step functions
Class Notes (worked at board, see a colleague if you need notes)
Here is the table of Laplace Transforms in case you lose it.
  Week 9
11/4 6.3 Step Functions
Class Notes
HW Set 6 (Due 11/11)
11/2 6.2 Laplace Transform and IVP
Class Notes
10/31 6.1 Laplace transform
Class Notes
  Week 8
10/28 Test 2 (Solutions)
10/26 finish up and review for Test 2
10/24 5.5 Euler Eqautions
HW: 1, 5, 7, 11, 2, 10, 14, 15, 18, 19
Class Notes (need to find these)
  Week 7
10/21 5.3 done, 5.4 singular points.
Class Notes
HW: 5.4: 1-18 do a bunch of these, do at least one in which the limits are not obvious (e.g. sin x / x)
HW Set 5 Solutions
10/19 5.2 one more example, 5.3 Theory of solutions near ordinary points
Class Notes (see Friday - they are combined together)
HW: 5.3: 1, 3, 5, 6, 7, 11, 12
10/17 5.2 Power Series Solutions to DE near Ordinary Points
Class Notes
  Week 6
10/14 5.1 Power Series Review
Class Notes (coming soon)
HW Set 5
HW Set 4 Solutions
10/12 3.8 Vibrations (spring-mass system)
Class Notes
10/10 3.7 Variation of Parameters, began 3.8 Vibrations ....
Class Notes
  Week 5
10/7 3.6 Method of Undetermined Coefficients
Class Notes
HW 3 Due (Solutions - #2 is wrong ... see if you can spot it)
HW Set 4
10/5 3.5 Finished Reduction of Order
Class Notes
10/3 3.4 Constant coeff., second order linear, homog., complex roots.
3.5 Reduction of Order (began this section)
HW: see notes
Class Notes
  Week 4
9/30 Exam 1
9/28 3.3 finished very end.  Answered HW questions and gave hints on HW set 3.
Class Notes
HW 2 Solutions
HW 1 Solutions
9/26 3.3 mostly done - linearly independent solutions
Class Notes
HW: 3.3: 1, 3, 11, 15,16, 17, 20, 22, 25
HW Set 3 - Due after Exam 1, but you are responsible for material related to 1-6 for Exam 1.
HW 1 Solutions.
  Week 3
9/23 Finished 3.2. 
HW: 3.2 see 9/21.
HW Set 3 - Due after Exam 1.  Work problems 1 and 4 for now.
Class Notes
9/21 3.2 Theory for 2nd order linear eq's.
Class Notes
HW: 3.2 (BoDi): 1, 5, 8, 11, 13, 14, 17, 23
9/19 3.1 Second Order Linear Differential Equations (Chapter 3 in the Boyce and DiPrima book now - we are switching books)
Class Notes
HW: 3.1 (BoDi): 5,7,11,17,22,23,27
  Week 2
9/16 1.8 Linear DEs
1.8: 1-7 odd, 1.9: 3, 9, 10, 15
Class Notes
Homework Set 2 - Due 9/23 at beginning of class.
9/14 1.5 Existence and Uniqueness
HW 1.5: 3, 7, 9, 10, 13, 14, 15, 18
Class Notes
9/12 Homework: continue 1.6 and add
1.4: 1,3,6,13,14 [Use the Mathematica notebook below to help with the calculations, but make sure you can do Euler's method by hand AND that you understand the basic ideas

Mathematica Notebook for Euler's Method

Class Notes
Homework Set 1 - Due Monday 9/19 at beginning of class.
  Week 1
9/9  Homework (BDH): 1.3: 3,4,5(use DFIELD for the technology bit), 7-10 (DFIELD),  12, 15 (no technology),17

Homework 1.6:  1, 3, 7, 9,  13, 15, 19, 21, 22-27 (a few), 31, 35, 43.

Class Notes
9/7 Syllabus.
Homework:  (from Blanchard, Devaney, Hall)

1.1: 3, 5, 10, 11, 15

1.2: 2, 5, 7, 11, 23, 25, 31, 33,35

Class Notes