Numerical Analysis I
MTH 451-003
| Instructor: | Mark Iwen |
| Time and Place: | Lectures are MWF 12:40 pm -- 1:30 pm in Wells Hall A336 |
| E-mail: | markiwen@math.msu.edu |
| Office: | D220 WH |
| Office Hours: | Monday 1:30 pm -- 2:30 pm, Tuesday 9 am -- 10 am, and Wednesday 1:30 pm -- 2:30 pm |
We will discuss topics including, e.g., the numerical solution of linear and nonlinear algebraic equations and eigenvalue problems, curve fitting, interpolation theory, numerical integration, numerical differentiation, the solution of differential equations, and linear programming methods.
Course website for MTH 451-003:
http://math.msu.edu/~markiwen/Teaching/MTH451/MTH451_F24.html
The course website is mandatory reading for the course. On it you will find the course schedule, the syllabus, and supplementary reading. Homework assignments will be posted on the schedule.
Textbook:
Numerical Analysis: Mathematics of Scientific Computing (third edition) by David Kincaid and Ward Cheney,
American Mathematical Soc., 2009, ISBN: 9780821847886.
Supplementary Texts and Grades:
We may also utilize material from other pdf sources provided by the instructor on D2L.
Homework:
Homework assignments will be given most weeks and will constitute 50% of your final grade. The homework questions will be assigned on the web with their due dates. Posting of new assignments will be announced in class. You must submit your homework solutions during the class period on the due date unless prior permission has been granted to submit otherwise. Late homework assignments will never be graded. The lowest two homework scores will be dropped when computing your average homework grade. Homework solutions must be original copies in the student's own handwriting/compiled LaTeX. No other submissions will be graded. Solutions must be clear and neatly written to receive credit. A subset of the homework problems will be graded on each assignment.
Midterm Exam:
There will be a midterm exam in class on Friday, October 18, 2024. It will constitute 20% of your final grade.
Final Exam:
There will be a final exam on Tuesday 12/10, 12:45 pm -- 2:45 pm, in Wells Hall A336. It will constitute 30% of your final grade.
Asynchronous Lecture Dates:
There will be two asynchronous lectures during the semester on Monday 11/25 and Wednesday 11/27 (the two classes before Thanksgiving). A link to the video lectures for each of those classes will be posted to the course D2L page at least a day in advance.
Grading:
Your final course percentage will be determined by averaging your homework, midterm exam, and final exam percentages with the following weights: Homework (50%), Midterm Exam (20%), and the Final Exam (30%). The result of this weighted average will then be rounded to the nearest integer.
Your final grade (e.g., 3.5, 4.0, etc.) will be assigned according to a class ranking. That is, the weighted averages calculated as above for all the students in the class will be rank ordered. Finally, threshold scores (e.g., a score above which a 4.0 is earned) will be determined, thereby establishing each student's final grade in the class. The threshold scores for each grade will never be higher than those indicated in following table.
| 90% -- 100% | A | 4.0 |
| 85% -- 89% | A-/B+ | 3.5 |
| 80% -- 84% | B | 3.0 |
| 75% -- 79% | B-/C+ | 2.5 |
| 70% -- 74% | C | 2.0 |
| 65% -- 69% | C-/D+ | 1.5 |
| 60% -- 64% | D | 1.0 |
| 0% -- 59% | F | 0.0 |
Incomplete grades will be given only in unusual cases of illness or other personal emergency, which causes the student to miss a significant amount of the course. This grade cannot be given for any other reason.
Academic Integrity:
You are encouraged to work with your peers on solving homework assignments. However, all submitted homework solutions must be written up individually in your own words. Submitting another student's written work as your own will be considered plagiarism.