|
Week |
Scientific Subject |
|
1-2 |
Matrices and determinants: (types of matrices such as inverse matrix and orthogonal matrix, representation of determinants and their magnitude), some applications such as vibration patterns of Mass-spring systems and analysis of electrical circuits. |
|
3-4 |
Linear equations, linear structures and space vector. |
|
5-6 |
Eigenvalues and eigenvectors |
|
6 |
First Exam |
|
7-8 |
Solution of the first and second order differential equations (separation of variables, solution of first-order homogeneous differential equations). |
|
9-10 |
Solving first-order nonhomogeneous linear differential equations, solving second-order homogeneous linear differential equations with constant coefficients with some applications (simple oscillator, simple diminishing oscillator), solving second-order nonhomogeneous linear differential equations, forced vibration. |
|
10 |
Second Exam |
|
11 |
Algebraic operations on complex numbers and complex plane. |
|
12 |
The polar representation of complex numbers and functions in a complex variable. |
|
13-14 |
Differentiation and continuity of complex functions, analytic functions, and Cauchy–Riemann equations. |
|
15 |
Final Exam |
References
|
Title |
Publisher |
Edition |
Author |
Place |
|
Course notes |
|
|
Course professor |
|
|
Mathematical Methods for Physicists |
Cambridge |
2000 |
Tai L. Chow |
Internet |