Back to Mark McLean's Homepage

MAT 541: Algebraic Topology I

Course Instructor: Mark McLean

MAT 541, Tuesday, Thursday 11:30am-12:50pm in Frey Hall 326.

In this course, we will attempt to cover simplicial/CW complexes, simplicial homology, singular (co)homology, (co)homology of CW complexes, Eilenberg-Steenrod axioms, the Künneth theorem and Poincaré duality.

We will be following the book Elements of Algebraic Topology, James R. Munkres.

Office Hours: Tuesday, Thursday 10:30-11:30am, both in person in Math 3-112 and on Zoom.

Grading

You grade will be based on class participation and also on written homework. You may hand in solutions by sliding them under my office door (Math 3-112).



Homework

Homework 1

Homework 2

Homework 3

Homework 4





Disability Support Services (DSS) 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) 632-6748, or at sasc@stonybrook.edu. 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 the Student Accessibility Support Center. For procedures and information go to the following website: https://ehs.stonybrook.edu//programs/fire-safety/emergency-evacuation/evacuation-guide-disabilities and search Fire Safety and Evacuation and Disabilities.

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 school-specific 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 Statement: 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 school-specific procedures. Further information about most academic matters can be found in the Undergraduate Bulletin, the Undergraduate Class Schedule, and the Faculty-Employee Handbook.