Lab Manuals:

Lab manual folder: [Link],

MATLAB [Tutorial files]

Course content and relevant materials:

Lec-1: Introduction [slides]

Lec-2: Taylor series

[sec: 4.1, 4.1.1] [examples: 4.1-4.3]

Lec-3, 4: Bracketing method: bisection method, false-position method

[sec: 5.1, 5.2, 5.3] [see examples in book] [class notes and practice]

Lec-5, 6: Open method: fixed point iteration, Newton-Raphson, Secant method

[sec: 6.1, 6.2, 6.3] [see examples in book] [class notes and practice]

Lec-7: Solving set of linear equations, matrix operations in MATLAB

Lec-8: (i) Mid-1 review, google classroom testing (ii) if-else and loops in MATLAB

[class notes and practice]

Mid-1 Exam

------------------------------------------------------------

Lec-9: Linear regression

[class notes and practice]

Lec-10: Non-linear regression

[sec 17.1.5, 17.2] [class notes and practice]

Lec-11: (i) Interpolation. (ii) MATLAB (loop, if-else, plotting)

[sec 18.1.1, 18.1.2, 18.1.3, 18.2] [practice]

Lec-12: Numerical integration. (i) Trapezoidal Rule

[Lec 12: sec 21.1, 21.1.2] [Lec 12-13: class notes and practice]

Lec-13: Numerical integration. (ii) Simpson's 1/3 rule (iii) integration with unequal segments

[Lec 12: sec 21.1, 21.1.2; Lec 13: 21.2.1, 21.2.2, 21.3] [Lec 12-13: class notes and practice]

Lec-14: Numerical differentiation (forward difference formula)

Mid-2 Exam

------------------------------------------------------------

Lec-15: MATLAB practice class: (i) if-else-end, while-end (ii) function definition (iii) possible projects

Lec-16: Eular's method of solving 1st oder ODE; algorithm discussion for matlab implementation

[sec: 25.1]

Lec-17: (i) RK method for solving ODE (n=1, 2), (ii) MATLAB implementation

[sec: 25.3, 25.3.1][class notes and practice ... I will add more practice problems later]

Lec-18: Finite difference method and boundary value problem

[Ch 27][class notes and practice]

MATLAB

[Tutorial files]

Online help and references

1. Online lecture materials: https://ece.uwaterloo.ca/~dwharder/NumericalAnalysis/10RootFinding/bisection/
2. Wolfram: https://www.wolframalpha.com/