*Please check Canvas for the most up-to date course information. Please check the syllabus for information on grading, exam dates, and more logisitic information.*

My office hours will be Monday and Wednesday from 10 - 11 in AP&M 6333. You are welcome to come ask specific math questions, general questions about the course, or just work on your homework.

Our TA is Nandagopal Ramachandran. His email can be found on the syllabus, and his office hours will be on Tuesday and Thursday from 11 - 12 in AP&M 5748.

Monday, January 6: *Worksheet on Symmetries* and *Solutions*

Wednesday, January 8: *Binary Operations*

Friday, January 10: *Isomorphic Binary Structures*

Monday, January 13: *Groups*

Wednesday, January 15: *Worksheet on Groups* and *Solutions*

Friday, January 17: *Subgroups*

Monday, January 20: No class: Martin Luther King Jr Day

Wednesday, January 22: *Cyclic Groups*

Friday, January 24: *Cyclic Groups*

Monday, January 27: *Midterm 1 Review* and *Solutions*

Wednesday, January 29: *Midterm 1* and *Solutions*

Friday, January 31: *Worksheet on Symmetric Groups* and *Solutions*

Monday, February 3: *Symmetric Groups*

Wednesday, February 5: *Cayley's Theorem, Cycles, and Alternating Groups*

Friday, February 7: *Cycles and Alternating Groups*

Monday, February 10: *Alternating Groups and Cosets* and *Worksheet on Cosets* and *Solutions*

Wednesday, February 12: *Cosets and Lagrange's Theorem*

Friday, February 14: *Corollaries of Lagrange's Theorem*

Monday, February 17: No class: Presidents Day

Wednesday, February 19: *Midterm 2 Review* and *Solutions*

Friday, February 21: *Midterm 2* and *Solutions*

Monday, February 24: *Direct Products*

Wednesday, February 26: *Homomorphisms* and *Worksheet on Homomorphisms* and *Solutions*

Friday, February 28: *Quotient Groups*

Monday, March 2: *Quotient Groups*

Wednesday, March 4: *Quotient Groups and Simple Groups*

Friday, March 6: *Worksheet on Quotient Groups* and *Solutions*

Monday, March 9: *Group Actions*

Wednesday, March 11: *Applications*

Friday, March 13: *Final Review* and *Solutions*

The first exam will be on Wednesday, January 29, in class. You may have one single-sided handwritten notesheet. You do not need a blue book.

*Practice Exam 1*: solutions will be covered in class on Monday, January 27.

The second exam will be on Friday, February 21, in class. You may have one single-sided handwritten notesheet. You do not need a blue book.

*Practice Exam 2*: solutions will be covered in class on Wednesday, February 19.

The final exam will be on Wednesday, March 18, from 8 - 11 AM. Because of COVID-19, the final will be given virtually. I will upload a copy of the exam to Canvas by 7:45 and you are free to start work on it as soon as it is uploaded. The exam will be open book and open notes. You must use your own paper and scan or photograph your exam upon completion and upload it to Gradescope by 11:15 am. Please check Canvas for more information.

*Final Review* and *Solutions*.

Homework will typically be due on Thursdays by 4 pm, with the exception of Homework 2 (due Tuesday before the first midterm), to the appropriate box in the basement of AP&M. Late homework will not be accepted. Your lowest homework score will be dropped. Your homework score will be a combination of completeness (completing every assigned problem) and correctness (certain problems will be graded in detail). Because you will not receive feedback on every problem assigned, it is up to you to make sure you understand how to do them. You are encouraged to work on your homework with others but you must write up your solutions on your own. Your homework can be handwritten or typed.

*Homework 1*, due January 16, and *Solutions*

*Homework 2*, due January 28, and *Solutions*

*Homework 3*, due February 13, and *Solutions*

*Homework 4*, due February 20, and *Solutions*

*Homework 5*, due March 5, and *Solutions*

*Homework 6*, due March 12, and *Solutions*