Course Information

Course Description

• The official Math Department course description on AMSC/CMSC 460.

Topic	References
» Linear systems of equations	[Suli] Chapter 2, [Moler] Chapter 2.
Note #1 on Gauss elimination [HTML] [PDF]. Last update: 2/2, typo spotted by Frank VanGessel.
» Least square problems	[Suli] Chapter 5, [Moler] Chapter 5.
» Root finder	[Suli] Chapter 1,4, [Moler] Chapter 4.
» Polynomial approximation	[Suli] Chapter 6,9,11, [Moler] Chapter 3.
Note #2 on Polynomial interpolation [HTML] [PDF]. Last update: 3/23.
» Numerical integration	[Suli] Chapter 7,10, [Moler] Chapter 6.
» Numerical ODE	[Suli] Chapter 12, [Moler] Chapter 7.
» Finite element method	[Suli] Chapter 14.

Homework Assignments

• 10 homework assignments will be given during the semester. The lowest score will be dropped.
• Homework 9 available. It is due on 4/30 in class. Last update: 4/21.

• Homework #	1	2	3	4	5	6-7	8	9	10
  Due	2/10	2/19	3/3	3/12	3/26	4/9	4/21	4/30	--

•  Download Homework Assignments.
• Additional resources for the homework.
• » Homework 9: a Matlab script on multistep methods: multistep.m. Last update: 4/21.
• » Homework 6-7: a Matlab script for linear spline least square approximation: linearspline.m. Last update: 4/1.
• » Homework 5: a Matlab code to test if your code on Thomas algorithm is correct: testthomas.m. Last update: 3/12.
• » Homework 4: a Matlab code on Runge's phenomenon: runge.m. Last update: 3/3.
• » Homework 1: a Matlab code on Gauss elimination (without pivoting): mylu.m. Last update: 1/29.
•  Download Additional Resources.

Group Project

• Groups has been assigned. Please go to canvas to see your assigned project and groupmates. Last update: 3/12.
• There are five group projects. The brief discription can be found HERE. The project is due at the end of the semester, including an in-class presentation and a report.

• Group #	Project title	Presentation	Report
  1	Iterative methods for linear sparse system	[Slides - PPT]	[PDF]
  2	Eigen-systems for large matrices	[Slides - Google]	[PDF]
  3	Polynomial approximation: minimizing infinity-norm	[Slides - PPT]	[PDF]
  4	Extrapolation in numerical integration	[Slides - PDF]	[PDF]
  5	Numerical methods for boundary value problems of second order ODE	[Slides - PPT]	[PDF]

Exams

• There are three midterm exams during the semester. A final exam will be given at the end of the semester.
• The final exam will be held on May 18 (Monday) from 10:30 to 12:30 in MATH0201.

• .Exam #.	.Schedule.	.Contents.	.Results.
  1	2/26	Linear system, Least square, Root finder	Max 102, Min 40, Median 75.	90+ 7, 80+ 6, 70+ 8, 60+ 8, 60- 3.
  2	Due 4/14	Polynomial approximation, Numerical integration	Max 100, Min 34, Median 87.	100 3, 90+ 9, 80+ 7, 70+ 6, 60+ 3, 60- 1.
  3	4/30	Numerical ODE, Finite element method	Max 97, Min 25, Median 71. (Will curve up by 7)	90+ 3, 80+ 6, 70+ 7, 60+ 5, 60- 8.
  Final	5/18	Cumulative

•  Download Exams and Solutions.

Grades

• Your grade are distributed as below:

• Homeworks »	30%
  Project »	10%
  Medterm exams »	30%
  Final exam »	30%

• The final grades with be given by A(90%+), B(80%+), C(70%+), D(60%+), F(60%-), with NO curve or adjustment.
• You can view your grades detail through ELMS/Canvas system.

Contact Information

• Contact me at This email address is being protected from spambots. You need JavaScript enabled to view it. if you have any questions. Or you can leave a comment HERE.