Last Updated:  December 10, 2018

Math 2065  Elementary Differential Equations
Fall 2018
Section  2

I

• Math 2065 Syllabus
• Textbook: Ordinary Differential Equations by W. A. Adkins and M. G. Davidson, Springer 2012.  (ISNB 978-1-4614-3617-1) An   e-book version of the text can be downloaded here by LSU students through the LSU library. You will need to log on to your MyLSU account to access this link. A student's solution manual can be downloaded from the Springer.com website for the text . An errata sheet for the text and student's solution manual can be found here.
• Supplemental Materials:
1. Function Properties is a sheet with commonly used properties of the exponential, logarithm and trigonometric functions.
2. Integral Table is a brief table of integrals with which you should be familiar from your calculus class.
• Homework assignments
• Exam Reviews
• Exams (Including copies of some old exams.)

## Daily Schedule

Class Date Topic Section Suggested Problems
15 Sept 24 The spaces Eq : Special Cases 2.6 1 - 25 (Odd)
16 Sept 26 The spaces Eq : General Case 2.7 1 - 27 (Odd)
17 Sept 28 Basic Constant Coefficient Linear DE 3.1, 4.1 3.1: 1 - 19 (Odd); 4.1: 1 - 11 (Odd)
18 Oct 1 Linear Homogeneous DE 3.3, 4.2 3.3: 1-15 (Odd); 4.2: 1 - 11 (Odd)
19 Oct 3 Undetermined Coefficients 3.4, 4.3 3.4: 1-27 (Odd); 4.3: 1 - 7 (Odd)
20 Oct 8 Spring Systems 3.6 1 - 15 (Odd)
21 Oct 10 Review

22 Oct 12  Exam 2

23 Oct 15 Existence/Uniqueness for Second Order Linear DE 5.1 1 - 23 (Odd)
24 Oct 17
Cauchy-Euler Equations 5.3 1 - 15 (Odd)
25 Oct 19 Variation of Parameters 5.6 7 - 15 (Odd)
26 Oct 22 Discontinuous Functions 6.1 1-8
27 Oct 24 Heaviside Class 6.2 9-23 (Odd), 29-41 (Odd)
28 Oct 26 Laplace Transform Method II 6.3 1 - 11 (Odd)
29 Oct 29 Dirac Delta Function 6.4 1 - 9 (Odd)
30 Oct 31 Review

31 Nov 2 Exam 3

32 Nov 5 Matrix Operations 8.1 1-21 (Odd)
33 Nov 7 Linear Equations 8.2 1 - 25 (Odd)
34 Nov 9 Invertible Matrices 8.3 1 - 15 (Odd)
35 Nov 12  Determinants  8.4  1 - 15 (Odd)
36 Nov 14 Linear Systems of DE 9.1, 9.2 7, 9, 11, 13, 17, 19, 27, 29, 31, 33, 35
37 Nov 16 Matrix Exponential and Laplace Transform 9.3 1, 3, 9, 11, 13, 15
38 Nov 19
Fulmer's Method 9.4 1 - 19 (Odd)
39 Nov 26  Exam 4

40 Nov 28 Constant Coefficient Linear Systems 9.5 1 - 15 (Odd)
41 Nov 30

Dec 6 Final Exam (7:30-9:30 AM)

### Exams

The following are the exams given during earlier semesters.  Solutions are provided, if available.

Fall 05 Exam I   Solutions               Spring 05 Exam I Solutions        Spring 08 Exam I Solutions            Fall 08   Exam I   Solutions
Fall 05 Exam II  Solutions               Spring 05 Exam II Solutions       Spring 08  Exam II Solutions          Fall 08   Exam II Solutions
Fall 05 Exam III Solutions              Spring 05 Exam III Solutions      Spring 08  Exam III Solutions         Fall 08   Exam III  Solutions
Fall 05 Final Exam  Solutions          Spring 05 Final Exam                 Spring 08 Final Exam  Solutions      Fall 08  Final Exam  Solutions

Exam Schedule

Exam Date Solutions
Exam 1 September 14
Exam 2
October 12 Solutions
Exam 3 November 2 Solutions
Exam 4 November 26 Solutions
Final Exam Dec 6 (Thursday) 7:30-9:30 AM Solutions