| 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 |