| SES # | TOPICS | KEY DATES |
|---|---|---|
| 1 |
Introduction to numerical methods in engineering MATLAB® proficiency evaluation First day of classes |
Homework 1 out MATLAB® workshop one day after Ses #1 |
| 2 |
Number representations Errors of numerical operations Recursion | |
| 3 |
Error analysis Error propagation Condition numbers | MATLAB® workshop one day after Ses #3 |
| 4 |
Roots of non-linear equations General/Bisection/Secant/Newton-Raphson methods | Homework 2 out |
| 5 |
Linear systems Gaussian elimination | Homework 1 due |
| 6 |
Linear systems Multiple right-hand-sides LU factorization | |
| 7 |
Special matrices Examples | |
| 8 |
Linear systems Iterative techniques Gauss-Seidel | |
| 9 |
Root finding and linear systems Examples and applications | Homework 2 due |
| 10 |
Optimization Curve fitting | |
| 11 |
Interpolation Polynomial interpolation Lagrange polynomials Splines | |
| 12 |
Fourier interpolation Fourier transforms | |
| 13 | Quiz 1 | |
| 14 |
Numerical integration Newton-Cotes Gaussian quadratutre | Homework 3 out |
| 15 |
Numerical differentiation Finite differences Ordinary differential equations Initial value problems Euler's method | |
| 16 |
ODE-IVP Runge-Kutta methods | Homework 4 out one day after Ses #16 |
| 17 |
Higher order ODEs Boundary value problems | Homework 3 due |
| 18 |
Partial differential equations Introduction Examples | Drop date |
| 19 | PDE review | |
| 20 |
PDEs Parabolic equations | |
| 21 |
PDEs Elliptic equations | |
| 22 | Finite element methods | Homework 4 due |
| 23 |
Boundary element methods Panel methods (1) | |
| 24 |
Boundary element methods Panel methods (2) | |
| 25 | Review | |
| 26 | Quiz 2 |
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