MATH405 - Numerical Analysis - Spring 2008
Class Pace/Assignments Date and Time of Last Update to This
Page:
09/27/10 03:03 PM
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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
M 4/28 |
Final Exam
11:30 - 2:00 |
Take home portion of
final due by 5:00 p.m. on Tuesday, April 29 |
|
|
Week 14
R 4/24 |
|
|
|
|
Week 14
T 4/22 |
Hand-In Homework 4 Due by 5:00
p.m. today |
|
|
|
Week 13
R 4/ 17 |
|
More on
Runge-Kutta Methods |
|
|
Week 13
T 4/15 |
|
More on
Predictor-Corrector Methods
Start Section
5.4: Runge-Kutta Methods |
|
|
Week 12
R 4/10 |
|
Finish Section
5.3
Start
Predictor-Corrector Methods |
|
|
Week 12
T 4/8 |
|
More from
Section 5.2: Error Bound for Euler's Method
Start Section
5.3: Higher-Order Taylor Methods |
Practice Homework from Section 5.3:
1, 3, 10 (use Maple or Excel for these problems) |
|
Week 11
R 4/3 |
|
Section 5.2: Euler's Method |
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 11
T 4/1 |
Quiz 4 -
It will be available after class today. You need to complete it by
3:00 p.m. on Wednesday 4/2. It will cover Sections 8.1, 4.1, 4.3, and
4.4 and solving a basic ODE using separation of variables (5.1) |
Finish Section
5.1 |
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 10
R 3/27 |
|
- Start
Section 5.1: The Elementary Theory of Initial-Value Problems |
-
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.). |
|
Week 10
T 3/25 |
|
- 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 9
R 3/20 |
Hand-In Homework 3 Due Friday
3/21 by noon. |
- 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 9
T 3/18 |
|
- 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
|
|
3/10 - 3/14 |
Spring Break! |
|
|
|
Week 8
R 3/6 |
Midterm Exam -
It will be available after class today. You need to complete it by
5:00 p.m. on Friday 3/7. NOTE NEW EXAM DATE
Hand-In Homework
3 Due Friday 3/21 by noon. |
- More on
Section 8.1: Discrete Least Squares Approximations |
|
|
Week 8
T 3/4 |
|
- 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 7
R 2/28 |
Quiz 3 -
It will be available after class today. You need to complete it by
noon on Monday 3/3. It will cover Sections 2.1, 2.2, 2.3, and 3.1 |
- 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
T 2/26 |
Hand-In Homework 2 Due by
Wednesday, February 27 by noon. NOTE NEW DUE DATE |
- Finish
Section 3.1 Lagrange Interpolating Polynomials |
|
|
Week 6
R 2/21 |
|
- 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
T 2/19 |
Hand-In Homework 2 Due by
Monday, February 25 by noon |
- Finish
Section 2.3 - Newton's Method, Including Newton's Error Formula
|
|
|
Week 5
R 2/14 |
|
- Finish
Section 2.2 - Fixed Point Iteration
- Start
Section 2.3 - Newton's Method |
- Practice Homework from Section
2.3: 1, 5, 11, 13, 29 |
|
Week 5
T 2/12 |
|
- Start
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 4
R 2/7 |
Don't Forget -
Hand-In Homework 1 Due Friday,
Feb 8. by noon. |
- Finish
Section 2.1
- Practice
coding in Maple |
|
|
Week 4
T 2/5 |
|
- Wrap-up
Section 1.3 - Growth and Decay Rates
- Start
Section 2.1 - Bisection Method |
- Practice Homework from Section
2.1: 1, 3 (a,b),
5 (a,c), 7, 11, 13, 15, 17, 19 |
|
Week 3
R 1/31 |
Hand-In Homework 1 Due Friday,
Feb 8. by noon. |
- Cover
Section 1.3 |
- Practice Homework from Section
1.3:
1, 3, 6, 7, 8, 10, 11, 13, 14, 15 |
|
Week 3
T 1/29 |
|
- Finish
Section 1.2 |
|
|
Week 2
R 1/24 |
Quiz 2 (Ready after class today,
Complete by Monday 1/28 at 5:00 p.m.) |
- Wrap-up Section 1.1 - Review of Calculus with an Emphasis on Taylor Series
- Start
Section 1.2 - Round-off Errors and Computer Arithmetic |
-
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
T 1/22 |
|
- More on Section 1.1 - Review of Calculus with an Emphasis on Taylor Series
|
|
|
Week 1
R 1/17 |
|
- Start 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 1/15 |
Easy Quiz
1 (Due by Friday, 1/18 at noon) |
- Review of
Syllabus/Website
- Maple 11
Overview
|
- Read Section 1.1
- Work the
Basic Calculus Review worksheet.
|
|