s23-mas4301-calendar

Spring Semester 2023
Monday Tuesday Wednesday Thursday Friday
January 9, 2023 classes begin

Sets

10 11

Equivalence relations

12 13

Equivalence classes

16 M.L. KingĀ  Day, no class

17 18

Partitions; functions;

19 20

Dihedral groups

23

Group definition;examples

24 25

Group definition; examples

26 27

Elementary properties of groups

Quiz 1

30

Elementary properties of groups

31 February 1

Finite groups; subgroups

2 3

Test 1

6

Subgroups

7 8

Subgroups

9 10

Cyclic groups

Quiz 2

13

Cyclic groups

14 15

Cyclic groups

16 17

Permutation groups

Quiz 3

20

Permutation groups

21 22

Permutation groups

23 24

Permutation groups

27

Test 2

28 March 1

Isomorphism

2 3

Cosets and Lagrange

6

No class

7 8

Direct product

Quiz 4

9 10

Direct product

13 Spring Break

No class

14 Spring Break 15 Spring Break

No class

16 Spring Break 17 Spring Break

No class

20

Group homomorphism

21 22

Group homomorphism

23 24

Normal subgroups; Quotient groups (called factor groups)

Quiz 5

27

First Isomorphism Theorem

28 29

Examples

30 31

Test 3

April 3

Finite abelian group statement

4 5

Finite abelian group statement

6 7 Good Friday

Rings

Quiz 6

10

Rings

11 12

Integral domains

13 14

Ring homomorphisms

Quiz 7

17

Ideals

18 19

Quotient rings

20 21

Quotient rings

24

Test 4

25 26 last class day

Prime ideals, maximal ideals. Answer questions

27 reading/review 28 reading/review
May 1 2 3 4

3:00 – 5:00 p.m. Final Exam

5