Spring 2025. MATH 310
Applied Mathematics for Science & Engineering I
Tentative Detailed Class Schedule
|
Class # |
Date |
Topic |
|
1 |
1/31 |
Introduction; Brief Review of Calculus |
|
2 |
2/3 |
Differential Equations: Definitions and Terminology (Ch. 1) |
|
3 |
2/5 |
Direction Fields; Autonomous Equations (Sec. 2.1) |
|
4 |
2/7 |
Separable Equations (2.2) |
|
5 |
2/10 |
Linear Equations (2.3) |
|
6 |
2/12 |
Exact Equations (2.4) |
|
7 |
2/14 |
Numerical Methods; Euler's Method (2.6) |
|
8 |
2/17 |
Modeling; Linear and Nonlinear Models (2.7, 2.8) |
|
9 |
2/19 |
Modeling (2.7, 2.8) |
|
10 |
2/21 |
Theory of Linear Equations of Higher Order (3.1) |
|
11 |
2/24 |
Reduction of Order (3.2) |
|
12 |
2/26 |
Homogenous Linear Equations with Constant Coefficients (3.3) |
|
13 |
2/28 |
Method of Undetermined Coefficients; Variation of Parameters (3.4, 3.5) |
|
14 |
3/3 |
Cauchy-Euler Equations (3.6) |
|
15 |
3/5 |
Nonlinear Equations (3.7) |
|
16 |
3/7 |
Mass-Spring Systems (3.8) |
|
17 |
3/17 |
Definition of Laplace Transform (4.1) |
|
18 |
3/19 |
Catch-Up Class |
|
19 |
3/21 |
Midterm Exam |
|
20 |
3/24 |
Inverse Transform; Transforms of Derivatives (4.2) |
|
21 |
3/26 |
Translation Theorems (4.3) |
|
22 |
3/28 |
Translation Theorems; Heaviside Function; Dirac Delta Function (4.3, 4.5) |
|
23 |
3/31 |
Solving Systems of Linear Equations (4.6) |
|
24 |
4/2 |
Introduction to Power Series Method (5.1) |
|
25 |
4/4 |
Application of Power Series Method (5.2) |
|
26 |
4/6 |
Vectors (7.1 - 7.4) |
|
27 |
4/9 |
Matrices; Matrix Algebra (8.1) |
|
28 |
4/11 |
Systems of Linear Algebraic Equations (8.2) |
|
29 |
4/14 |
Rank of a Matrix (8.3) |
|
30 |
4/16 |
Determinants and Their Properties (8.4, 8.5) |
|
31 |
4/23 |
Inverse of a Matrix (8.6) |
|
32 |
4/25 |
Cramer's Rule (8.7) |
|
33 |
4/28 |
Solving Systems of Linear Equations (8.7) |
|
34 |
4/30 |
Eigenvalues and Eigenvectors (8.8) |
|
35 |
5/2 |
Complex Eigenvalues (8.8) |
|
36 |
5/5 |
Powers of Matrices (8.9) |
|
37 |
5/7 |
Orthogonal Matrices (8.10); Diagonalization (8.12) |
|
38 |
5/9 |
LU-factorization (8.13) |
|
39 |
5/12 |
Method of Least Squares (8.16) |
|
40 |
5/14 |
Linear Systems (10.1) |
|
41 |
5/16 |
Linear Systems (10.2) |
|
|
5/19-23/19 |
Final Exams Mon, 5/19, 2 - 4:30 for Section 3; Fri, 5/23, 2 - 4:30 for Section 2 |