SUNY at Stony Brook MAT 322: Analysis in Several Dimensions
Spring 2018

General Information

Place and time: TuTh 11:30am-12:50pm in Library E4310.

Professor: Michael Anderson, Office: Math Tower 4-110.

Office hours: M 1-3pm, W 2-3pm and by appointment in 4-110.

Grader: Qianyu Chen, Office: Math Tower S-240A

Office hours: M 4:30-5:30pm and by appointment in S-240A and Tu 4:30-5:30pm, Th 5-6pm in MLC.

Course description: This is a mathematically rigorous course which will emphasize concepts and proofs. Topics covered will include topology of , derivatives, the inverse function theorem, the Riemann integral, the change of variables theorem for multiple integrals, manifolds and differential forms in , Stokes's theorem and applications.

Prerequisites: The course will heavily rely on knowledge you have from Linear Algebra (MAT 211 or MAT 310), Multivariable Calculus (MAT 203) and Analysis in 1 dimension (MAT 320). Formal prerequisite is a grade of C or better in MAT 203 and 211 or 310 and B or higher in MAT 320.

Textbook: "Analysis on Manifolds" by James R. Munkres, Advance Book Classics, Westview Press, 1991.

Homework: The homework is an important part of the course and will be assigned most every week, with due dates generally on Tuesday in class. Do the homework! It is fundamental for understanding the course material. To do well in class you are strongly encouraged to read the sections to be covered before class: plan to work on reading and homework for 6-8 hours a week and start preparing for tests well in advance.

Exams: There will be 2 Midterm Exams and one Final Exam.

Final Exam:Tuesday, May 15, 11:15am-1:45pm.

Make sure that you can attend the exams at the scheduled times; make-ups will not be given. Resolve any conficts now. If one midterm exam is missed because of a serious (documented) illness or emergency, the semester grade will be determined based on the balance of the work in the course.

Grading policy: Each Midterm Exam will count 20% of your grade, the Final will count 40% and Homework will count 20%.

Information for students with disabilities:
If you have a physical, psychological, medical, or learning disability that may impact your course work, please contact Disability Support Services at (631) 632-6748 or DSS. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential.

Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information go to the following website: Fire

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 integrity website at

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.