Class

Date

Day

Topics

Lecture 1

Mar 4

M/T

Classification of equation, Solution to a system of linear equations

Lab 1

Mar 6

W

Taylor series approximation

Lecture 2

Mar 11

M/T

Numerical integration

Lab 2

Mar 13

W

Trapezoidal rule, Rectangular rule, Simpson’s rule

Lecture 3

Mar 18

M/T

Solution to a single non-linear, algebraic equation

Lab 3

Mar 20

W

1D bisection, Newton-Raphson

Lecture 4

Mar 25

M/T

Solution to a system of non-linear, algebraic equations, Function handles

Lab 4

Mar 27

W

Multi-dimensional Newton-Raphson

Lecture 5

Apr 1

M/T

Numerical Differentiation, estimation of truncation error (Richardson extrapolation)

Lab 5

Apr 3

W

Exam 1

Spring Break

Lecture 6

Apr 15

M/T

Finite Difference: conversion of an ODE to a discretized set of algebraic equations

Lab 6

Apr 17

W

Finite Difference

Lecture 7

Apr 22

M/T

Initial Value Problems: time advancement (single equation and system of equations)

Lab 7

Apr 24

W

Runge-Kutta family of algorithms

Lecture 8

Apr 29

M/T

Propagation of uncertainties in initial conditions

Lab 8

May 1

W

Exam 2

Lecture 9

May 6

M/T

Boundary value problems: the shooting algorithm

Lab 9

May 8

W

Shooting algorithm

Lecture 10

May 13

M/T

Effect of step size on accuracy control, stiff systems

Lab 10

May 15

W

Course review

Last modified: March 3, 2019