Learning Objectives for MTH 410: Modern Algebra 2

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To "instantiate" a definition means to construct or state examples of that definition, and to create a non-example of that definition.

MTH 410 Learning Objectives in order of appearance

19: Symmetry

20: An Introduction to Groups

21: Integer Powers of Elements of a Group

22: Subgroups

23: Subgroups of Cyclic Groups

24: The Dihedral Groups

25: The Symmetric Groups

26: Cosets and Lagrange's Theorem

27: Normal Subgroups and Quotient Groups

28: Products of Groups

29: Group Isomorphisms and Invariants

30: Homomorphisms and Isomorphism Theorems

31: The Fundamental Theorem of Finite Abelian Groups

32: The First Sylow Theorem

33: The Second and Third Sylow Theorem

16: Rings: Ideals and Homomorphisms

Note: This investigation will occupy several class meetings.

MTH 410 Learning Objectives by type

Concept Check (CC) Objectives

Module (M) Objectives

Core Module (CORE-M) Objectives

These are a subset of the M Objectives above. They represent the top -- objectives in the course, so important that you will be assessed on them in both timed and untimed settings. There are 24 of these in all.