A list of lecture topics and supporting files for the lecture notes are included in the table below.
LEC # | TOPICS | LECTURE NOTES | SUPPORTING FILES |
---|---|---|---|
1 |
Introduction Computer Architecture Number Representations Recursion |
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2 |
Error Propagation Error Estimation Condition Numbers |
euler.m (M) |
|
3 |
Linear Systems of Equations: Cramer’s Rule Gaussian Elimination |
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4 |
Linear Systems: Gaussian Elimination Pivoting LU Factorization Error Analysis |
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5 |
Linear Systems: Tri-diagonal Systems Special Matrices |
(PDF) |
|
6 |
Linear Systems: Iterative Methods Convergence of Iterative Schemes |
(PDF) |
vib_string.m (M) |
7 |
Roots of Non-linear Equations: Bisection Newton-Ralphson Iteration |
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8 |
Interpolation of Functions by Polynomials Lagrange Interpolation Triangular Family |
langrange.m (M) |
|
9 |
Numerical Differentiation and Integration Error Estimates |
(PDF) |
|
10 |
Ordinary Differential Equations Initial Value Problems: Euler and Runge-Kutta Methods |
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11 |
Ordinary Differential Equations (cont.) Boundary Value Problems: Finite Difference Methods |
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12 |
Minimization Problems Least Square Approximation Optimization |
(PDF) |