HW Assignment for Math 541

This page will give a complete listing of the reading and homework assignments that you are required to do. In addition, Exam and Final dates will be listed. There will be both written and electronic Homework with the latter done in WeBWorK. Information on logging into WeBWorK is given by this hyperlink.

There is a Lab Manual (MATLAB and Maple) version, which will continue to be updated over the semester with detailed information for using MatLab and Maple on your assignments. For those interested in purchasing Maple, you can access the Maple adoption sheet through this hyperlink.

Week 12: We lecture on Numerical Differentiation and Richardson Extrapolation,Differentiation and Richardson Extrapolation (4 Panel).
Exams: The second Midterm Exam will occur on Thurs, Nov 17. Solutions to the Take-Home Exam are available (though Problem 8 has not yet been completed). Complete solutions will appear hopefully before midnight.

Week 13: The lectures begin Least Squares fitting of data, Least Squares (4-Panel).
HW Assignment #7: Work the WeBWorK Problems (spline) due Wed, Dec 7 at 4 AM. (Note that there are written parts, which will need to be turned in with the written assignment at class time on Tues, Dec 6.) You also have  written Homework Assignment 7 on Spline techniques. These problem are due Tues, Dec 6 at class time.

Week 14-15: The lectures continue Least Squares fitting of data, Least Squares (4-Panel). The last lecture covers some material on higher dimensional Newton's method, Newton's Method Higher Dimensions (4-Panel), which we use for solving nonlinear least squares problems. There are Solutions for Homework 7 available.
HW Assignment #8: Work the WeBWorK Problems (lst sq) due Thurs, Dec 15 at 4 AM. (Note that there are written parts, which will need to be turned in with the written assignment by 5 PM on Thurs, Dec 15.) You also have written Homework Assignment 8 on Least Squares methods. These problem are due Thurs, Dec 15 by 5 PM (under my office door).
Final: The final is Tues, Dec 20, 1-3 PM. It will consist of the 4 problems discussed in class (almost directly from previous in-class exams and the latest least squares material). The last Take-Home Exam is due Tues, Dec 20 at the time of the final.

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Notes about Exams

For Exam 2, you are allowed a Calculator. You should only need a cheap Scientific Calculator. You will need to show your steps, so you do not want to use any programming capabilities. All Cell phones must remain out of sight. You may have one 3x5 notecard with notes.

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Old Assignments

Week 1: Read the Lecture Notes for the Introduction (4-Panel) and Calculus and Taylor's Theorem (4-Panel). For students wanting to learn Maple and see commands that I show in class, then notes are provided with the Maple coscos (and actual Maple code for coscos).
HW Assignment #1: Work the WeBWorK Problems called Taylor, which are due Fri, Sep 9 at 4 AM. You also have  written Homework Assignment 1 on Taylor series and some MatLab. These problem are due Thur, Sep 8 at class time.

Week 2: We continue with Taylor's Theorem and begin the study of MatLab Programming and Numerical Error. Read the Lecture Notes for MatLab Programming (4-Panel).
HW Assignment #2: Work the WeBWorK Problems due Tues, Sep 20 at 4 AM. (Do NOT miss the parts where you create programs and graphs to include in the written part of the assignment.) You also have  written Homework Assignment 2 on Taylor series and some MatLab. These problem are due Tues, Sep 20 at class time.

Week 3: We continue the study of MatLab Programming and begin Computer Arithmetic and Finite Precision (4 Panel). The latter topic introduces computational error due to finite information stored in a computer.

Week 4: We continue the study of Computer Arithmetic and begin Zeros and Roots (4 Panel). The latter topic introduces solving f(x) = 0 using different methods. Solutions for HW 1 are available.
HW Assignment #3: Work the WeBWorK Problems due Mon, Sep 26 at 4 AM.

Week 5: We study Zeros and Roots (4 Panel) and begin Numerical Linear Algebra (4-Panel). The first topic shows how to solve f(x) = 0 using different methods, while the second area studies how to numerically solve Ax = b, where A is an nxn matrix. Solutions for HW 2 are available.
HW Assignment #4: Work the WeBWorK Problems due Tues, Oct 11 at 4 AM. (Do NOT miss the parts where you create programs, analyze convergence, and include these the written part of the assignment.) You also have  written Homework Assignment 4 on solving f(x) = 0. These problem are due Tues, Oct 11 at class time.
Project 1: Work the Project 1 Problemsdue Tues, Oct 18 at class time. The Cover page is available (along with Word version and LaTeX version), and this hyperlinked page includes a discussion on what is expected.

Week 6: We study Numerical Linear Algebra (4-Panel) and Matrices (4-Panel). These studies show how to numerically solve Ax = b, where A is an nxn matrix. We investigate complications that arise in the numerical computations.
HW Assignment: See Week 5.
Exams: The Take-Home Exam is available and will be due Tues, Oct 11 at class time. The first Midterm Exam will occur on Thurs, Oct 13. Solutions to the Take-Home Exam will appear on Wed, Oct 12.

Week 7: We complete the study of Numerical Linear Algebra (4-Panel) and Matrices (4-Panel). These studies show how to numerically solve Ax = b, where A is an nxn matrix. We investigate complications that arise in the numerical computations. The begin studies of Numerical Integration (lecture notes posted soon).
Exams: The Take-Home Exam is due Tues, Oct 11 at class time. The first Midterm Exam will occur on Thurs, Oct 13. Solutions to the Take-Home Exam will appear on Wed, Oct 12.
Solutions: The Homework Assignment 4 solutions and Take-Home Exam Solutions are available.

Week 8: We begin Numerical Integration, Quadrature A (4-Panel) and Quadrature B (4-Panel).
HW Assignment #5: Work the WeBWorK Problems (LinAlg) due Tues, Oct 25 at 4 AM. You also have  written Homework Assignment 5 on matrices and solving Ax = b. These problem are due Thurs, Oct 27 at class time.

Week 10: We continue Numerical Integration, Quadrature A (4-Panel) and Quadrature B (4-Panel). There are Solutions for Homework 5 available.
HW Assignment #6: Work the WeBWorK Problems (Quad) due Fri, Nov 11 at 4 AM. (Note that there are written parts, which will need to be turned in with the written assignment at class time on Thur, Nov 10.You also have  written Homework Assignment 6 on Quadrature methods. These problem are due Thurs, Nov 10 at class time.

Week 11: We expand Interpolation and begin Splines, Splines (4-Panel). There are Solutions for Homework 6 available.
Exams: The second Take-Home Exam is due Tues, Nov 15 at class time. The second Midterm Exam will occur on Thurs, Nov 17. Solutions to the Take-Home Exam will appear on Wed, Nov 16.