AMS 526: Numerical Analysis I

Instructor: Prof. Xiangmin
(Jim) Jiao 
TA: Kaiming Xu 
[ Course Description  Course Outline  Course Policy  Homework and Tests  References  University Policy ] 
Course Description (back to top) 
Required Textbook
Prerequisite/Corequisite
Learning
Objectives The objective of this course is to introduce the key concepts and algorithms in numerical linear algebra, including direct and iterative methods for solving simultaneous linear equations, least squares problems, computation of eigenvalues and eigenvectors, and singular value decomposition. The key learning outcomes include the following:

Course Outline (back to top) 
Outline
Lecture Schedule and Slides 
Course Policy (back to top) 
Homework assignments are due in class typically two weeks after they are assigned. You are allowed to discuss course materials and homework problems in small groups, but limited to discussion of general ideas only. You must write your solutions completely independently. Under no circumstances may you copy solutions from any source, including but not limited to other students solutions, official solutions distributed in past terms, and solutions from courses taught at other universities. Violation of these rules may result in disciplinary actions. Exams The exams (including two tests and the final exam) are closedbook, but you are allowed to bring a singlesided, onepage, lettersize cheat sheet, which you must prepare by yourself. Attendance All students are expected to attend all the lectures and exams. Grading

Homework and Sample Tests (back to top) 
All the assignments will be posted on Microsoft Teams and must
be submitted through Microsoft Teams. You are encouraged to
typeset your homework solutions using LaTeX or using LyX
(a very easytouse document processor, using LaTeX in the
backend), or write your answers by hand and submit a scanned
copy. However, Microsoft Word is not recommended. Assignment Policy You are allowed to discuss course materials and homework problems on Microsoft Teams or in private. However, all discussions are limited to general ideas only. You must write your solutions completely independently. Under no circumstances may you copy solutions from any source, including but not limited to other students solutions, official solutions distributed in past terms, and solutions from courses taught at other universities. Violation of these rules may result in disciplinary actions. 
References (back to top) 
References on UndergraduateLevel Linear AlgebraThe following is an excellent text for reviewing fundamental
concepts and some applications of linear algebra.
Other References on Numerical Linear AlgebraThe following books are graduatelevel textbooks on numerical
linear algebra, similar to the main textbook for this course.
References on Iterative Methods and Multigrid MethodsThe following books are for additional readings on iterative
methods and multigrid methods, which are increasingly important
but not covered in this course due to time constraint.
References on Technical WritingYou can find some tips on using LyX etc. at here.References on MATLAB ProgrammingReferences on C ProgrammingIf you want to purchase a C book, a classical one is
There are some free online books linked at this "C Programming Language" page. Among these, the following book might be most appropriate.
Another good starting point is the communitywritten C book is

Policies and Academic Integrity (back to top) 
Academic Integrity Each student must pursue his or her academic goals honestly and be personally accountable for all submitted work. Representing another person's work as your own is always wrong. Faculty are required to report any suspected instances of academic dishonesty to the Academic Judiciary. For more comprehensive information on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website at http://www.stonybrook.edu/uaa/academicjudiciary/Critical Incident Management Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the Office of Judicial Affairs any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits students' ability to learn. 