AMS 526: Numerical Analysis I (Numerical
Linear Algebra)

Instructor: Prof. Xiangmin
(Jim) Jiao 
TA: Chengpeng Sun 
[ Description  Outline  Delivery Mode  Tech Requirements  Grading Policy  Homework and Exams  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) 
Lecture Schedule and Slides 
Course Delivery Mode and Structure (back to top) 
Important announcements will be sent on Brightspace. These will be posted in the class and may or may not be sent by email. I will participate and post regularly on the discussion board in Brightspace and provide feedback on assignments within a week. Regular communication is essential in online classes. When participating in class discussions, the expectation is that you will regularly respond to your peers and questions posed to your responses. Logging in regularly, checking the discussion board, and participating with your colleagues ensure that you can remain an active member of the class.

Grading Policy (back to top) 
Homework assignments are typically due two weeks after they are assigned. You can discuss course materials and homework problems in small groups but only discuss general ideas. You must write your solutions entirely 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. The exams will be in person. Attendance All students are expected to attend all the lectures and exams. Grading

Homework and Exams (back to top) 
Assignments All the assignments will be posted on Brightspace and should be submitted through Brightspace. You are encouraged to typeset your homework solutions using LaTeX or 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. Exams The two midterms are tentatively scheduled to be held on
Specific times of the midterms are subject to
change. The final exam will be on
Sample tests will be posted on Brightspace about one week before the exam. 
References and Other Resources (back to top) 
References on UndergraduateLevel Linear AlgebraThe following is an excellent textbook for reviewing
fundamental concepts and some applications of linear algebra.
Other References on Numerical Linear AlgebraThe following book is a graduatelevel textbook on numerical
linear algebra, similar to the main textbook for this course.
References on Iterative 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.
Linear Algebra for Data Science
References on MATLAB ProgrammingReferences on NumPy Programming
References on C/C++ ProgrammingThere are many reference on C and C++. For example,
References on Technical Writing

University Policies and Academic Integrity (back to top) 
Student Accessibility Support Center Statement If you have a physical, psychological, medical, or learning disability that may impact your course work, please contact the Student Accessibility Support Center, Stony Brook Union Suite 107, (631) 6326748, or at sasc@stonybrook.edu. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential. Academic Integrity Statement 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 is required to report any suspected instances of academic dishonesty to the Academic Judiciary. Faculty in the Health Sciences Center (School of Health Technology & Management, Nursing, Social Welfare, Dental Medicine) and School of Medicine are required to follow their schoolspecific procedures. For more comprehensive information on academic integrity, including categories of academic dishonesty please refer to the academic judiciary website at http://www.stonybrook.edu/commcms/academic_integrity/index.html 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 Student Conduct and Community Standards any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits students' ability to learn. Faculty in the HSC Schools and the School of Medicine are required to follow their schoolspecific procedures. Further information about most academic matters can be found in the Undergraduate Bulletin, the Undergraduate Class Schedule, and the FacultyEmployee Handbook. 