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Introduction to Numerical Analysis for Engineering (13.002J) >> Content Detail



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Calendar

LEC #TOPICSKEY DATES
1Introduction

Computer Architecture

Number Representations

Recursion
Problem set 1 out

Problem set 0 (In-class assignment)
2Error Propagation

Error Estimation

Condition Numbers
MATLAB® handout
3Linear Systems of Equations: Cramer's Rule

Gaussian Elimination
Problem set 1 due
4Linear Systems: Gaussian Elimination

Pivoting

LU Factorization

Error Analysis
Problem set 2 out
5Linear Systems: Tri-diagonal Systems

Special Matrices
6Linear Systems: Iterative Methods

Convergence of Iterative Schemes
7Roots of Non-linear Equations: Bisection

Newton-Ralphson Iteration
Problem set 2 due
8Interpolation of Functions by Polynomials

Lagrange Interpolation

Triangular Family
Problem set 3 out
9Numerical Differentiation and Integration

Error Estimates
10Ordinary Differential Equations

Initial Value Problems: Euler and Runge-Kutta Methods
Problem set 3 due

Problem set 4 out

Take-home exam out; due 8 days later
11Ordinary Differential Equations (cont.)

Boundary Value Problems: Finite Difference Methods
12Minimization Problems

Least Square Approximation

Optimization
Problem set 4 due

 








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