Information for Fall 2017 MAE 107
General information for Fall 2017 MAE 107:
(in pdf format)
contains information on the course objective, content and grading policy.
Lecture and Problem Session: T/Th 5:00-6:50, Ledden Auditorium.
The course grade will be obtained as indicated on the syllabus.
Some motivation (beyond the joy of numerical mathematics) can be found
J.F. Epperson, An Introduction to Numerical Methods and Analysis, Second Edition (2013).
Contact: (The TAs are listed alphabetically.)
Instructor: Prof. William McEneaney
- Office: 1809 EBU 1.
- Email: firstname.lastname@example.org
N.B. regarding email:
It is essential that your email message contain a proper salutation (with correct title/name) and an
appropriate closing. Due to the student/faculty ratio, we do not guarantee that all email
will receive a response, but we will make a strong effort to respond to appropriate email.
- Please do not email code requesting help from us; you can bring such to office hours.
However, we generally will not debug your code for you.
TENTATIVE Quiz Schedule:
Quiz 1: TBD.
Quiz 2: TBD.
Quiz 3: TBD.
For the quizzes:
- You must bring a blue book.
- You may bring a single 8.5x11 inch sheet of HANDWRITTEN notes (both sides).
- Bring a pen (preferably two). Your quiz should be done in pen - not pencil. If it is done in pencil, regrade requests will be denied.
- You must bring your ID.
- No calculator will be allowed on the first quiz!
Notes regarding homework:
- See the syllabus regarding due date and TIME!
- Also note the remark there about the fact that the homework you hand
in must be clearly your own.
- You homework must be handed in as hardcopy, with the pages stapled together for full credit. (We are significantly understaffed.)
Homework Assignment #1 TBD.
You can see examples of MATLAB code
Approximate ordered list of topics to be covered:
- Taylor polynomials.
- Asymptotic order and (very briefly) computer arithmentic.
- Horner's rule.
- Differencing for derivative approximation.
- ODEs and Euler's method.
- Linear interpolation.
- Numerical integration: Left-hand rectangle and trapezoid rules.
- Tridiagonal linear systems and a trivial PDE problem (two-point boundary value problem).
- Root finding and fixed points (solving equations).
- Newton's method.
- Secant method.
- Fixed-point method.
- Solving equations in higher dimensions.
- Lagrange interpolation.
- Newton interpolation (divided differences).
- Interpolation error.
- Least squares (might be omitted as you should have seen this elsewhere).
- Numerical integration: Left-hand rectangle and trapezoid rules (reprise).
- Corrected trapezoid method.
- Simpson's method.
- Midpoint method.
- Romberg method (might be omitted).
- ODEs: Euler's method (reprise).
- Low-order Runge-Kutta methods.
- Fourth-order Runge-Kutta.
- Advanced issues in ODE methods.
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