jump to content department of mathematics and statistics; c.s.u. sacramento

Math 150 Webpage (Spring 2005)
Instructor: J. Gehrmann


Class Number

Resources and Other Information

1 (1/25)
Information Page (Syllabus) for Course

Link to Prof. Mathews' resource webpage for Numerical Analysis

Free Mathreader for Viewing Mathematica Files (not needed if you have a copy of Mathematica on your computer)

Textbook Author's Mathematica File for Chapter 1 (in Mathematica notebook format--to read this notebook, point to the link at the beginning of this paragraph, hold down the right mouse button and choose the option save the file to your computer. Then, once it downloads, open the copy of MathReader [or Mathematica, if you have it] on your computer and once that is open, open the downloaded file from within MathReader [or Mathematica])

Notes for Class #1 (again, in Mathematica notebook format--see instructions in last paragraph for opening)

Homework Exercises for Next Class (i.e. be ready to discuss, ask questions, or take a quiz on these exercises during the next class period): Section 1.1--1b,4a,5a,6b,8a,9a,11a,11d,12a,14b
2 (1/27)
Notes for Class #2 (again, in Mathematica notebook format--see instructions in last paragraph for opening)

Homework Exercises for Next Class: Section 1.2--1b,2d,3c,4b,5a,6d,7d,8c,9b,11,13a,14c,16c

Link to Homework Solutions from Section 1.2
3 (2/1)
Notes for Class #3 These notes don't cover all of Section 1.3. Lecture 4 notes will contain more information on Big O notation, and error propagation.

Homework Exercises for Next Class: Section 1.3--1a,3,3b,4a,5a,5b,6a,12 and 13.

A one-question quiz on Sections 1.1 and 1.2 will be given during the next class period.
4 (2/3)
Notes for Class #4

Link to Homework Solutions from Section 1.3

Read Section 2.1 for the next class
5 (2/8)
Examples and proofs from Section 2.1.

Notes for Class #5

Homework Exercises for Next Class: Section 2.1--1,2,3a,3c,4, 9, and 1b in the algorithms and programs section..
6 (2/10)
Link to Homework Solutions from Section 2.1

Quiz on Section 2.1

Notes for Class #6

Homework Exercises for Next Class: Section 2.2--3,5,7,9,11, and try 3 in Algorithms and Programs
7 (2/15)
Discuss Section 2.2 Homework. Link to 2.2 Homework

A quick look at Section 2.3 and some of the exercises in that section

Introduction to the Newton-Raphson Method for finding roots (Section 2.4)

Notes for Class #7
8 (2/17)
Secant Method from Section 2.4.

Quiz on Sections 2.2 and 2.3.

Homework Exercises for next class: Section 2.3--1,3,5; Section 2.4--2,5,7,11,13
9 (2/22)
Discuss Section 2.3 Homework and Section 2.4 Homework

Review for First Midterm Exam
10 (2/24)
Midterm Exam 1 covering Chapter 1 and Chapter 2, Sections 1 through 4--You may bring a single 8 1/2 by 11 sheet of paper with formulas written on one side to the exam. No calculators allowed on the exam.
11 (3/1)
Discuss Midterm Exam 1. Scores available at this link

Begin discussion of solutions of linear systems in Sections 3.3 and 3.4.

Homework for next class: Section 3.3--2,5 and 7; Section 3.4--2,6,7, and 12
12 (3/3)
Discuss Section 3.3 Homework and Section 3.4 Homework

Continue work on solutions of linear systems in 3.4.

Link to Module on Gaussian Elimination

Homework for next class: Section 3.4--15 plus 1,2,3 in the Algorithms and Programs portion of 3.4.
13 (3/8)
Section 3.4 Homework including additional problems

Triangular Factorization in Section 3.5

Link to Module on Triangular Factorization (LU Factorization)

Homework for next class: Section 3.5--3a,3b,5, and 6
14 (3/10)
Section 3.5 Homework Solutions

Quiz on Sections 3.4 and 3.5

Iterative Methods for Linear Systems

Link to Module on Iterative Solutions

Homework for next class: Section 3.6--3, 8, 9, and 2 in Algorithms and Programs
15 (3/15)
Taylor Series and Introduction to Interpolation in Sections 4.1 and 4.2

Section 3.6 Homework Solutions

Homework for next class: Section 4.1--2, 3, 8, and 13 and Section 4.2--2 and 3
16 (3/17)
Sections 4.1 and 4.2 Homework Solutions

Quiz on Section 4.1

Lagrange Approximation in Section 4.3

Homework for next class: Section 4.3--2, 6, 10, 11, and 12
Spring Vacation
 
17 (3/29)
Section 4.3 Homework Solutions

Newton Polynomials in Section 4.4 and (time permitting) Pade Approximations in Section 4.6

Newton Polynomials in Section 4.4

Pade Approximation in Section 4.6

Homework for next class: Section 4.3--5,8,10 and Section 4.6--1,2, and 4
18 C.C. Hol. (3/31)
 
19 ( 4/5)
Section 4.4 and 4.6 Homework Solutions

Review for 2nd Midterm Exam
20 (4/7)
2nd Midterm Exam
21 (4/12)
Review 2nd Midterm Exam

Least Squares Line of Best Fit in 5.1

Homework for next class: Section 5.1--2a,3c,4,5,9
22 (4/14)
Review homework from 5.1.

Finish 5.2 and begin 5.3 (Hermite Polynomials and Cubic Splines)

Webpage with Java applets demonstrating spline and Bezier curves

Homework for next class: Section 5.2--1b,3,5,17,18a and Section 5.3--2,3a,3c5,8
23 (4/19)
Review homework from 5.2

Review homework from 5.3

Finish Cubic Splines in 5.3 and begin Bezier Curves in 5.5
24 (4/21)
Finish Bezier Curves

Homework for Section 5.5: 6, 7, 8, and 9

Quiz on Spline Functions

Take-home 3rd Midterm--Problems 2, 5, and 6 in the Algorithms and Programs section of 5.3 and Problems 1, 3, and 4 in the Algorithms and Programs section of 5.5. You may use any programming language but please submit your programs via email so I can test them by running them on my computer.
25 (4/26)
Review homework from 5.5

Derivatives
26 (4/28)

Explain some points on Cubic Spline Functions for take home exam

Link to Mathematica notebook that contains a Mathematica program for a natural cubic spline

Link to Joe Burks' Cubic Bezier Curve Applet

27 (5/3)
Finish derivatives and begin numerical integration
28 (5/5)
Numerical Integration
29 (5/10)
Numerical Optimization
30 (5/12)
Review for Final Exam

Final Exam will be given in your regular classroom on Tuesday, May 17 from 8-10 A.M. You may prepare a list of formulas and theorems (no worked out examples allowed on this list) for use at the Final Exam. This list should take up no more than 2 sheets of 8 1/2 by 11 paper--both sides may be used. The exam may include questions from any sections of the book covered during the semester.

Take-home 3rd Midterm Due--The deadline for submitting has been extended until the time of your final exam on Tuesday, May 17. If you have already submitted your solutions by email and wish to make changes, you are welcome to do so until exam time next Tuesday.
 

 

 

California State University, Sacramento • updated: May 12, 2005