MATH405 - Numerical Analysis - Fall 2009
Class Pace/Assignments Date and Time of Last Update to This
Page:
09/27/10 03:03 PM
[ Up ] [ Class Syllabus ] [ Class Pace and Assignments ] [ Handy Documents ] [ Sample Tests And Quizzes ]
Once
we have finished covering a Section in the text, you are responsible for working
the homework problems for that section given at the above link.
This page will be updated as we progress through the class so please check
regularly for updates.
Assignments (in reverse
chronological order)
|
Week &
Date of Class |
Assignment(s) Due/Quiz or Test
Scheduled |
Material Covered
|
Homework Problems |
|
Week 15 12/10 |
Final Exam The Final Exam
will be ready by 8:00 a.m. on Thursday 12/10 (possibly sooner) and is due by
noon on Friday 12/11 |
|
Week 14 12/3 |
|
Review for Final |
|
|
Week 14 12/1 |
Homework 3 DUE
by Wednesday 10:00 a.m. |
More on
Predictor-Corrector Methods
Section
5.4: Runge-Kutta Methods |
|
|
Week 13 11/24 |
|
Finish Section
5.3
Start
Predictor-Corrector Methods |
Practice Homework from Section 5.3:
1, 3, 10 (use Maple or Excel for these problems) |
|
Week 13 11/19 |
|
More from
Section 5.2: Error Bound for Euler's Method
Start Section
5.3: Higher-Order Taylor Methods |
Practice Homework from Section 5.2: 1,
3, 5, 7, 9, 13, 17
Possible Hand-In Homework from
5.2: Code Euler's Algorithm in Maple. Your output
should be a list of points that when plotted show the solution obtained via
Euler's Method. |
|
Week 12 11/17 |
|
- Section 5.1: The Elementary Theory of Initial-Value Problems
Start Section 5.2: Euler's Method |
-
Practice Homework from Section 5.1: 1, 2 (For these
problems you should be able to perform separation of variables by hand for parts (a)
and (d) of both problems to get either an exact or implicit solution.
Also work these problems using Maple. Draw the direction field and the
solution on the same plot.).
More
Practice Homework from Section 5.1: 3,
5, 6, 8 (b,c)
Possible Hand-In Homework from
5.1: 6, 8 (b,c) |
|
Week 12 11/12 |
|
- Finish
Sections 4.3 and 4.4 |
-
Practice Homework from Section 4.4: 1(a,b,c), 3(a,b,c), 7(a,b),
9, 11(a,b),
Possible Hand-In Homework from 4.4:
12(a,b), 20 (you must show that your approximation is within the desired
degree of accuracy), 22 |
|
Week 11
11/10 |
|
Out due to
illness |
|
|
Week 11
11/5 |
|
- Start
Sections 4.3 and 4.4: Numerical Integration |
-
Practice Homework from Section 4.3: 1(b,d,e), 3(b,d,e),
5(b,d,e), 7(b,d,e), 9(b,d,e), 11(b,d,e), 13, 15, 17, 18, 19 |
|
Week 10
11/3 |
|
- Cover
Section 4.1 Numerical Differentiation |
-
Practice Homework from Section 4.1:
1(a), 3(a), 5(a,b), 7(a,b), 9(a,b), 11(a), 13, 25, 27
|
|
Week 10
10/29 |
Hand-In Homework 2 Due by Monday
11/2 at noon |
- Questions on
Homework |
|
|
Week 9
10/27 |
|
- Finish Least
Squares |
|
|
Week 9
10/22 |
Midterm Redo
Due by Monday 10/26 at noon |
- More on
Least Squares |
|
|
Week 8
10/20 |
|
- Finish Cubic
Spline Interpolation
- Start
Section 81. Discrete Least Squares Approximations |
- Practice Homework from Section
8.1: You should be able to use Maple and Excel for the
majority of these problems: 1 - 13 odd |
|
Week 8
10/15 |
|
- Cover
Section 3.4 Cubic Spline Interpolation |
- Practice Homework from Section
3.4: 1, 3, 5, 9, 11, 13, 15, 17, 19, 25, 26, 27, 30, 32.
Note that problems 16, 18, 30, and 32 are very likely to be on your next
hand-in homework assignment. |
|
Week 7
10/8 |
Midterm Exam
ready by 12:00 p.m. on Wednesday 10/14. You must complete it by Friday
10/16 at noon. |
- Finish Section 3.1 - Lagrange Interpolating Polynomials |
|
|
Week 7
10/6 |
|
- Start
Section 3.1 - Lagrange Interpolating Polynomials |
- Practice Homework from Section
3.1: 1(a,c), 3(a,c), 5(a,d), 9(a,d), 11 (use Maple), 13, 19(a,b),
29 |
|
Week 6
10/1 |
|
- Section 2.3:
Newton's Method |
- Practice Homework from Section
2.3: 1, 5, 11, 13, 29 |
|
Week 6
9/29 |
Quiz 2 ready
to take by end of class today. You must complete it by Friday 10/2 by
noon - It will cover Sections 1.3, 2.1, and 2.2 |
- Wrap up
Fixed Point Iteration
|
|
|
Week 5
R 9/24 |
|
- Section 2.2:
Fixed Point Iteration |
- Practice Homework from Section
2.2: 1, 5, 7. You should code (in Maple) the fixed
point iteration algorithm (page 2.2) with formatted output. Check your
answers to the above with your algorithm. |
|
Week 5
T 9/22 |
Hand-In Homework 1 Due Wednesday,
September 23 by 5 pm. Please email your Maple worksheet to me. |
- Section 2.1:
The Bisection Method |
- Practice Homework from Section
2.1: 1, 3 (a,b),
5 (a,c), 7, 11, 13, 15, 17, 19 |
|
Week 4
R 9/17 |
|
- Wrap up
Section 1.3 |
|
|
Week 4
T 9/15 |
Hand-In Homework 1 Due Wednesday,
September 23 by noon. |
- More from
Section 1.3
- Review of
coding in Maple |
|
|
Week 3
R 9/10 |
Quiz 2 Ready
to Take After Class Today. DUE by 5:00 p.m. on Monday September 14. |
- Finish
Section 1.2, Start Section 1.3: Algorithms and Convergence |
- Practice Homework from Section
1.3:
1, 3, 6, 7, 8, 10, 11, 13, 14, 15 |
|
Week 3
T 9/8 |
|
- Section 1.2
Round-off Errors and Computer Arithmetic |
-
Part of Hand-In Homework 1: Problem 16,
Section 1.1
- Practice Homework from Section 1.2:
1 (a,c,e,g), 3, 5 (d,e,f), 7 (d,e,f), 11, 13(a), 17, 21, 27 |
|
Week 2
R 9/3 |
Hand-In Homework 1- Calculus Review Due Friday 9/4 by noon |
- More Taylor Series and Maple Review |
|
|
Week 2
T 9/1 |
|
- Taylor Series and an Overview of Using Maple |
- Go through the first four Maple worksheet on the Handy
Documents page (i.e. start with A Brief Introduction to Maple). |
|
Week 1
R 8/27 |
|
- Section 1.1 - Review of Calculus |
- Practice Homework from Section 1.1: 1,
3, 5, 9, 11, 15, 17, 19, 21, 25 (a challenge problem) |
|
Week 1
T 8/25 |
Easy Quiz
1 (Due Friday, 8/28 by noon) |
- Review of
Syllabus/Website
- Maple 11
Overview
|
- Hand-In Homework 1:
Basic Calculus Review
Please show all work for this assignment. DUE Friday 9/4 by noon.
- Read Section 1.1
|
|