Course Information
Instructor  Changhui Tan 
Lectures  Tu Th 2:00pm  3:15pm, at MATH0201 
Office  CSIC 4123 
Office Hours  Tu Th 11:00am  12:00pm, or by appointment 
Textbooks (Required)  E. Suli and D. Mayers, An introduction to numerical analysis. (ISBN: 9780521007948) 
C. Moler, Numerical computing with Matlab. (ISBN: 9780898716603) [Online copy] 
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 67 8 9 10 Due 2/10 2/19 3/3 3/12 3/26 4/9 4/21 4/30  Download [H1] [H2] [H3] [H4] [H5] [H67] [H8] [H9] [H10]  Additional resources for the homework.
 » Homework 9: a Matlab script on multistep methods: multistep.m. Last update: 4/21.
 » Homework 67: 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.
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 inclass presentation and a report.

Group # Project title Presentation Report 1 Iterative methods for linear sparse system [Slides  PPT] [PDF] 2 Eigensystems for large matrices [Slides  Google] [PDF] 3 Polynomial approximation: minimizing infinitynorm [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. .Download. .Results. 1 2/26 Linear system, Least square, [E1] Max 102, Min 40, Median 75. Root finder [S1] 90+ 7, 80+ 6, 70+ 8, 60+ 8, 60 3. 2 Due 4/14 Polynomial approximation, [E2] Max 100, Min 34, Median 87. Numerical integration [S2] 100 3, 90+ 9, 80+ 7, 70+ 6, 60+ 3, 60 1. 3 4/30 Numerical ODE [E3] Max 97, Min 25, Median 71. (Will curve up by 7) Finite element method [S3] 90+ 3, 80+ 6, 70+ 7, 60+ 5, 60 8. Final 5/18 Cumulative [EF] [SF]
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.