Syllabus for Summer 2010 Semester
REQUIRED TEXTS
The required textbook for this course is: Differential Equations with Boundary Value Problems: An Introduction to Modern Methods and Applications, Brannan and Boyce, Wiley Publications ISBN # 978-0-470-41850-5
MATH 2420 Differential Equations Summer 2010 Tentative Course Schedule
Date |
Sections Covered |
6/2 |
1.1, 1.2, 1.3, 1.4 |
6/7 |
2.1, 2.2 |
6/9 |
2.3, 2.4 |
6/14 |
2.5, 2.6 |
6/16 |
2.7, 2.8 |
6/21 |
Test 1 |
6/23 |
3.1, 3.2, 3.3 |
6/28 |
3.4, 3.5, 3.6 |
6/30 |
6.1, 6.2 |
7/5 |
6.3, 6.4 |
7/7 |
6.5, 6.6 (Test 2 - TC) |
7/12 |
4.1, 4.2, 4.3 |
7/14 |
4.4, 4.5 |
7/19 |
4.6, 4.7, 4.8 |
7/21 |
5.1, 5.2 (Test 3 - TC) |
7/26 |
5.3, 5.4 |
7/28 |
5.5, 5.6 |
8/2 |
8.1, 8.2 |
8/4 |
8.3, 8.4 |
8/9 |
9.1, 9.2 or Test 4 |
8/11 |
Final Exam |
Please note: Schedule changes may occur during the semester. Any changes will be announced in class.
Notes
Old Tests
| Test 1 Summer 2009 key | |
| Test 1A Summer 2005 | Test 2 Practice with some solutions |
| Test 1B Summer 2005 | |
| Some extra problems for Test 1, worked out with solutions: DE Homogeneous Sample Problems DE Linear Sample Problem Handout 1 DE Linear Sample Problem Handout 2 DE Separable Sample Problems |
Projects
| Project 1 Cholesterol | |
| Project 2 Antihistamine | |
| Project 3 Lanchester's Model of Warfare | |
Mathematica Notebooks
| Direction Field/Integral Curves | |
MATH 2420 Homework List Summer 2010
BB: Brannon/Boyce
Section |
Pages |
Problems |
1.1 Basic Models/ Direction Fields |
9–11 |
1, 3, 5, 11, 12, 13, 15-20, 21, 23, 26, 27, 30 |
1.2 Solutions of Some DE's |
20–22 |
1,5,11, 15, 17, 19, 23 |
1.4 Classification of DE's |
38–39 |
1 – 15, 17, 19 |
| 1.3 Numerical Approximations | 32–33 | 1, 3, 5, 7, 9, 11 |
2.1 Linear equations |
39 – 41 |
1 – 19 ODD, 38, 39, 40, 41, 42 |
| 2.2 Separable Eqautions | 47, 48 | 1 – 27 odd and 31, 33, 35, 36, 37 |
| 2.3 Modeling | 65 | 1, 7, 12, 16, 20, 21, 22 |
| 2.4 Differences between Linear and Non-Linear | 79 | 1 – 11, ODD, 17, 19, 27, 28, 29, 30 |
| 2.5 Autonomous Equations ... | 91 | 3, 5, 9, 10, 12 |
| 2.6 Exact Equations and Integrating Factors | 102 | 1, 3, 5, 9, 23, 25, 27 |
3.1 Systems |
139 |
1, 2, 3, 5, 21, 22, 23, 33, 35 |
3.2 Systems of ODEs |
147 |
15, 16, 17, 24 |
3.3 Homogeneous Linear Systems |
162 |
1, 3, 5, 6, 15, 25, 27 Appendix A.2 2, 3, 10, 11 Appendix A.4 1,2,3,7 |
3.4 Complex eigenvalues |
173 |
1, 3, 5, 9, 11, 13, 21 |
3.5 Repeated Eigenvalues |
186 |
1, 3, 7, 9, 11 |
4.3 2nd Order Homogeneous with Constant Coefficients including Repeated Roots; Reduction of Order |
242 |
1, 3, 5, 7, 9, 11, 13, 19, 20, 22, 26, 28, 37, 39, 41, 43 |
4.2 Theory |
231 |
1, 7, 9, 11, 13, 21 |
4.4 Complex Roots |
250 |
11, 13, 15, 16, 19, 21, 22, 23, 25, 28, 39, 40 |
4.6 Nonhomogeneous Equations - Method of Undetermined Coefficients |
271 |
4.6 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25 |
4.8 Variation of Parameters |
190 |
11, 13, 15, 17, 19, 23, 29 |
5.1 Definition of Laplace Transform |
314 |
5.1: 1 – 4 , 13a,b, 18, 20, 22, 25, 31, 33, 36 |
| 5.2 Properties of the Laplace Trans | 321 | 5.2: 1-4, 7, 11a, 13, 15, 17, 19 , 23 |
| 5.3 The Inverse Laplace Transform | 323 | 5.3: 1, 3, 5, 7, 9, 11, 13, 15 |
| 5.4 Solving DE's with Laplace Transform | 339 | 5.4: 1, 2, 3, 5, 10 |
8.1, 8.2 Series Solutions |
|
BB: 8.1 1, 3, 5, 7, 9, 13, 21, 23, 25__& _8.2 1,3,4,5,7 5.1 1, 3, 5, 7, 9, 13 __&__ 5.2 1, 3, 4, 5, 7 |
6.1 |
312 |
1 – 4, 5A, 5B, 7, 9, 11, 15, 21, 23 --Check out 26! BB: 5.1 1-4, 13a&b, 18,20, 22, 25, 31, 33 Check out 36! |
6.2 |
322 |
1, 3, 5, 7, 11, 12, 13, 15, 23 BB: 5.3 9,11,13,15,23 5.4: 1,2,3,5,10 BB: 5.2 1,3,5,7,9,11,13,15,17 5.4 #15 |
6.3 |
329 – 630 |
1 – 17 ODD |
6.4 |
337 |
1 – 9 ODD |
3.8 |
203 |
1, 5, 7, 8, 9, 12 |
6.6 |
351 |
1, 4, 5, 6, 8, 9, 11, 16 4.3: 1 – 4 |