Week 
Date 
Topic/Materials 
Homework/Test etc. 
1 
Part I: Matlab and Solving Equations 
Mon Jan 12 
Introduction,
lecture 1: Vectors, Functions, and Plots in Matlab


Wed Jan 14 
lecture 2: Matlab Programs 
Good Problem
using the
Layout skill:
 Write your mathematical autobiography.
 Include
 your background,
 your current interests and future goals,
 why you are taking this class,
 your preferred learning style(s) as determined by the
VARK questionaire, and
 whatever else is relevant or interesting.

Fri Jan 16 
lecture 3: Newton's Method and Loops 
lecture 1 homework 
2 
Mon Jan 19  Martin Luther King, Jr. Day holiday, no class

Wed Jan 21 
lecture 4: Controlling Error and Conditional Statements 
lecture 2 homework 
Fri Jan 23 
lecture 5: The Bisection Method and Locating Roots;
mybisect.m 
lecture 3 homework; do problem 3.3 as a Good Problem (still using the Layout skill); (drop deadline) 
3 
Mon Jan 26 
lecture 6: Secant Methods; mysecant.m 
lecture 4 homework 
Wed Jan 28 
lecture 7: Symbolic Computations; part I review 
lecture 5 homework; do problem 5.2 as a Good Problem
using
Flow (and Layout) 
Part II: Linear Algebra 
Fri Jan 30 
lecture 8: Matrices and Matrix Operations in Matlab 
lecture 6 homework

4 
Mon Feb 2 
lecture 9: Introduction to Linear Systems

lecture 7 homework


Wed Feb 4 
lecture 10: Some Facts About Linear Systems 
lecture 8 homework 
Fri Feb 6 
part I study guide 
Test on Part I (lectures 17) 
5 
Mon Feb 9 
lecture 11: Accuracy, Condition Numbers and Pivoting

lecture 9 homework 
Wed Feb 11 
lecture 12: LU Decomposition 
lecture 10 homework 
Fri Feb 13 
lecture 13: Nonlinear Systems  Newton's Method 
lecture 11 homework; do problem 11.1 as a Good Problem
using
Symbols (and Flow, Layout) 
6 
Mon Feb 16 
lecture 14: Eigenvalues and Eigenvectors 
lecture 12 homework 
Wed Feb 18 
lecture 15: An Application of Eigenvectors: Vibrational Modes 
lecture 13 homework; do problem 13.1 as a Good Problem 
Fri Feb 20 
lecture 16: Numerical Methods for Eigenvalues;
part II review
(in lecture 18) 
lecture 14 homework 
7 
Part III: Functions and Data 
Mon Feb 23 
lecture 19: Polynomial and Spline Interpolation

lecture 15 homework; do problem 15.1 as a Good Problem
using
Logic

Wed Feb 25 
lecture 20: Least Squares Fitting: Noisy Data 
lecture 16 homework 
Fri Feb 27 
lecture 21: Integration: Left, Right and Trapezoid Rules 
lecture 19 homework 
Spring Break 
8 
Mon Mar 9 
part II study guide 
Test on Part II (lectures 816) 
Wed Mar 11 
lecture 22: Integration: Midpoint and Simpson's Rules; mysimpweights.m 
lecture 20 homework 
Fri Mar 13 
lecture 23: Plotting Functions of Two Variables;
mywedge.m;
mywasher.m 
lecture 21 homework 
9 
Mon Mar 16 
lecture 24: Double Integrals for Rectangles;
mylowerleft.m;
mydblsimpweights.m 
lecture 22 homework; do problem 22.1 as a Good Problem 
Wed Mar 18 
lecture 25: Double Integrals for Nonrectangles;
mywedge.m 
lecture 23 homework

Fri Mar 20 
lecture 27: Numerical Differentiation 
lecture 24 homework 
10 
Mon Mar 23 
lecture 28: The Main Sources of Error; part III review 
lecture 25 homework 
Part IV: Differential Equations 
Wed Mar 25 
lecture 29: Reduction of Higher Order Equations to Systems

lecture 27 homework; do problem 27.1 as a Good Problem
using
Intros 
Fri Mar 27 
lecture 30: Euler Methods;
myeuler.m;
mymodeuler.m

lecture 28 homework (drop deadline with WP/WF) 
11 
Mon Mar 30 
lecture 31: Higher Order Methods 
lecture 29 homework 
Wed Apr 1 
part III study guide 
Test on Part III (lectures 1925, 27, and 28) 
Fri Apr 3 
lecture 33: ODE Boundary Value Problems and Finite Differences; myexactbeam.m 
lecture 30 homework 
12 
Mon Apr 6 
lecture 34: Finite Difference Method  Nonlinear ODE 
lecture 31 homework 
Wed Apr 8 
lecture 35: Parabolic PDEs  Explicit Method;
myheat.m 
lecture 33 homework; do problem 33.1 as a Good Problem
using
Graphs

Fri Apr 10 
lecture 36: Solution Instability for the Explicit Method; myexpmatrix.m 
lecture 34 homework 
13 
Mon Apr 13 
lecture 37: Implicit Methods 
lecture 35 homework 
Wed Apr 15 
lecture 38: Insulated Boundary Conditions;
myheatdisk.m 
lecture 36 homework;
do problem 36.1 as a Good Problem 
Fri Apr 17 
lecture 39: Finite Difference Method for Elliptic PDEs;
mypoisson.m 
lecture 37 homework 
14 
Mon Apr 20 
lecture 41: Finite Elements;
mywasher.m 
lecture 38 homework 
Wed Apr 22 
lecture 42: Determining Internal Node Values; Part IV review;
myfiniteelem.m 
lecture 39 homework; do problem 39.1 as a Good Problem 
Fri Apr 24 
Review, part IV study guide 
lecture 41 homework 
15 
Mon, Apr 27 
Final Exam
4:406:40pm, in our classroom.
