Spring 2024
General Information
Syllabus and Homeworks
Exams
Syllabus
Below is the tentative syllabus for MAT 303. It is subject to change.
Homeworks for every week should be handed to your recitation instructor during the recitation next week (e.g., homework for week 1 should be handed during recitation in week 2). It will be graded and returned to you the following week.
| Week | Sections covered | Homework |
|---|---|---|
| Jan 22 - 26 | 1.1: differential equations, models 1.2: integral solutions 1.3: Slope fields, solution curves 1.4: Separable equations |
1.1 #6, 12 1.2 #7, 17 1.3 #21, 30 1.4 #11, 15, 23, 49 1.5 #13, 19 |
| Jan 29 - Feb 2 | 1.5: Linear first-order Equations 1.6: Substitution methods 2.1: Population models, logistic equation |
1.6 #17, 19, 33 2.1 #15, 23, 33 |
| Feb 5 - 9 | 2.2: Equilibrium solutions and stability 2.3: Acceleration-velocity models 2.4: Euler's method |
2.2 #8, #9, #19, #23,2.3 #9, #10, #23, #27 |
| Feb 12 - 16 | 3.1: Second-order equations 3.2: General solutions 3.3: N-th order equations with constant coefficients |
2.4: #3, #4; 3.1: #5, #33, #40; 3.2#7, #13 |
| Feb 19 - 23 | Midterm 1 3.3: N-th order equations with constant coefficients continued |
3.3 #9, 12,15, 21, 23, 33 |
| Feb 26 - March 1 |
3.4: Mechanical vibrations 3.5: Non-homogeneous equations. Variation of parameters. |
3.4: 3, 5, 15, 22 (you can use graphing caluclator or Wolfram Alpha to plot the graphs) 3.5: 1, 2, 9, 10, 17, 31 |
| Mar 4 - 8 |
3.6: Forced oscillations 3.8: Endpoint problems and eigenvalues |
3.5: 53 3.6: 1, 4, 7, 15, 19 (in all problems, graphing not required) 3.8: 2, 3, 13 |
| Mar 11 - 15 | Sping break | |
| Mar 18 - 22 |
4.1: First order systems. 4.2: The elimination method (note: we didn't discuss general Polynomial Differential Operators, just basic elimination) |
4.1: 3, 13, 14 4.2: 1, 6, 13, 38, 41 (graphing not required) |
| Mar 25 - 29 |
5.1: matrices and linear systems. Note: we haven't discussed Wronskian of a system of solutions. 5.2: The eigenvalue method for homogeneous systems. |
In problems 5.1 #23, #27, skip the part about computing Wronskian.
In problems for section 5.2, skip the part about graphing direction field and solutions. 5.1:11, 23, 27, 32, 36 5.2: 1, 3, 9, 26 |
| Apr 1 - 5 |
5.5: Repeated eigenvalues Midterm 2 |
|
| Apr 8 - 12 | 5.6: Matrix exponentials |
5.5: 1, 3, 6, 23 5.6: 1, 21,25,33 |
| Apr 15 - 19 | 7.1: Laplace transform 7.2: Transformation of initial value problem |
7.1:8, 11, 14, 24, 27, 7.2: 1, 7, 12, 17, 19 |
| Apr 22 - 26 | 7.3: partial fraction decomposition 8.1: power series solutions |
7.3:3, 5, 6, 8, 15, 28 8.1:1, 4 |
| Apr 29 - May 3 |