Math 226
Text: Numerical Analysis, Burden and Faires, Eighth Edition
Instructor: Daphne Manoussaki
Office: SC 1418
Hours: Tuesday 2pm-3:30pm and Thursday 8:30am-9:30am, or by appointment
Further reading...
These books may also prove useful to have / consult:
- Numerical Methods for Engineers, 5th ed. Steven Chapra and Raymond Canale, Editor: McGraw-Hill
- A MATLAB primer, written by Prof. Kermit Sigmon, University of Florida, available via
Nam Sun Wang's website.
Syllabus
| Date | Room | Sections | Practice problems | For grade assignments |
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8/25
| SC 1431 |
1.2 - Also, handed out a Syllabus (Word file)
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| 8/30 | Garland 119D | Intro to MATLAB.
Material covered | |
| 9/1 | SC 1431 | Section 1.2 of text | Page 26, #
1, 3, 5 (a, c, d, e, f), 13(a), 15 (a, b, c), 17. |
| 9/6 | Garland 119D | Iterations
(for i=a:b) and
if ... else statements in Matlab
Introduction to 2.1 of text | | 1st Assignment
(Some errors from the handout
are corrected here) |
| 9/8 | SC 1431 | 2.1 (Bisection), 2.2 (Fixed pt. Iteration)
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| 9/13 | Garland 119D |
Matlab user-defined functions. Fixed point iteration,
A fixed-pt iteration applet.
Newton's method.
Downloads for class
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| 9/15 | SC 1431 |
Newton's method. Secant method. Linear and Quadratic convergence.
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2nd Assignment |
| 9/20 | Garland 119D |
Lagrange interpolating polynomial. Data import in matlab.
Downloads for class
| Suggested homework:
Page 115, nos 1, 2, 3, 4, 5(a), 6(b), 19(a, c), 20(a, c) |
| 9/22 | SC 1431 |
Interpolation | | Files for 3rd assignment |
| 9/27 | Garland 119D |
Linear and Cubic Splines
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4th Assignment, due 10/11 |
| 9/29 | SC 1431 |
Linear splines, Hermite Polynomials, Parametric Curves.
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| 10/4 | Garland 119D |
Parametric curves, intro to linear regression,
the MATLAB commands polyfit, polyval
Applet for Hermite, Bezier curves -
Files
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| 10/6 | SC 1431 | 1st Test |
Material covered -
example problems
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Assignment for extra credit
Due November 8
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| 10/11 | SC 1431 |
Chapter 8.1: Least squares approximation | | 5th Assignment |
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10/13
| SC 1431 |
Numerical differentiation
Differentiation formulas
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10/18
| SC 1431 |
Richardson's extrapolation, Elements of Numerical Integration
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6th Assignment
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10/20
| SC 1431 |
Trapezoidal rule, Simpson's rule , composite form of rules
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10/27
| SC 1431 |
Composite Trapezoidal, Composite Simpson, associated error
Romberg Inregration
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7th Assignment
Due Nov. 4
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11/1
| SC 1431 |
Numerical Solution of ODEs
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11/3
| SC 1431 |
Numerical Solution of ODEs
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11/8
| SC 1431 |
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Page 263 (Chapter 5.2, Euler's method).
Mathematica Notebook for Problems 1, 11
Answers to problems 1, 11 in PDF form
Page 281 (Chapter 5.4, Modified's method).
Answer to problem 3a in PDF
Mathematica Notebook for Problem 3a
Page 281 (Chapter 5.4, Runge Kutta of order 4).
Answer to problem 15a in PDF
Mathematica Notebook for Problem 15a
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11/10
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Test 2
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Test 2 - material covered
Instructions: Bring One Letter sized sheet of handwritten notes on
the test. No photocopies. No stored programs in calculator.
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11/15
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Chapter 5.5 and 5.6
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11/17
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Chapter 5.9 and parts of 5.11
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8th assignment.
About MATLAB ode solvers
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11/29
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6.1, 6.2
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12/1
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7.1, 7.3, part of 7.4
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Homework 9
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Final exam: Saturday, December 10, 9 a.m.
Material covered up to test 1
Material covered since test 1
Material covered since test 2
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Alternate date for final exam: Wednesday, December 14, 12:00 noon.
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All work submited for credit is subject to the provisions
of the Vanderbilt Honor Code. In particular, in submitting the homework
assignments, you are indicating that you have worked alone and the only
references you used were: your textbook, the bibliography suggested
on this web-page, your class-notes and the the notes from this website.
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Tests: There are two tests scheduled on the syllabus, and one final exam. Tests dates cannot be changed.
The final exam, which is comprehensive, will be given at 9:00 am on Saturday, December 10.
Scheduled Test dates: 10/6, 11/10
Final Exam: Saturday, December 10, 9:00 am.
The final exam is comprehensive.
Grades: The usual scale (A:93-100, A-: 90-92, B+: 87-89, B:83-86,
B-:80-82, C+:77-79, C: 73-76, C-: 70-72, D+: 67-69, D: 63-66, D-:60-62, F:0-59) will be used.
Grades will be based on the two tests (15% each) and the final exam (20% of the grade).
If you need course accommodation due to a disability, if you have emergency medical information to share with me, or if you need special arrangements in case the building must be evacuated, please let me know as soon as possible. If you are a member of an athletic team or other school organization that may require you to miss class, please let me know ahead of time.
Important dates for Fall 2005.
August 31. Wed., Fall registration change period ends.
October 21, Friday, Last day a student may change from pass/fail status to
graded status.
October 24-25, October break
November 11, Spring registration course request period ends at 4 p.m.
November 19-27, Thanksgiving holidays
December 8, Classes end
Saturday, December 10, 9a.m. final exam.
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