Week 1: Aug 28 - Sept 1
- Linear Review and Extension I
- Linear Review and Extension II
- Groups
- Brainstorming and Catchup Session
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Week 2: Sept 4 - Sept 8
- Subgroups
- Brainstorming and Catchup Session
- Isomorphisms
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Week 3: Sept 11 - Sept 15
- -
- Brainstorming and Catchup Session
- Homomorphisms
- Equivalence Relations and Partitions
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Week 4: Sept 18 - Sept 22
- Cosets
- Brainstorming and Catchup Session
- -
- Restriction of Homomorphisms
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Week 5: Sept 25 - Sept 29
- Brainstorming and Catchup Session
- Exam 1
- Products of Groups
- Modular Arithmetic
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Week 6: Oct 2 - Oct 6
- Quotient Groups
- Brainstorming and Catchup Session
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- Linear Review and Extension III
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Week 7: Oct 9 - Oct 13
- Linear Review and Extension IV
- Brainstorming and Catchup Session
- Linear Review and Extension V
- Linear Review and Extension VI
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Week 8: Oct 16 - Oct 20
- No Class (FALL BREAK)
- No Class (FALL BREAK)
- Linear Review and Extension VII
- Linear Review and Extension VIII
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Week 9: Oct 23 - Oct 27
- Symmetry of Plane Figures
- Brainstorming and Catchup Session
- Group of Motions in the Plane
- Finite Groups of Motions
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Week 10: Oct 30 - Nov 3
- -
- Brainstorming and Catchup Session
- Discrete Groups of Motions
- Abstract Symmetry (Group Operations)
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Week11: Nov 6 - Nov 10
- Brainstorming and Catchup Session
- Exam 2
- Operations on Cosets
- The Counting Formula
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Week 12: Nov 13 - 17
- Operations of a Group on itself
- Brainstorming and Catchup Session
- -
- An Example: Class Equation of Icosahedral group
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Week 13: Nov 20 - Nov 24
- Group Operations on Subsets
- Sylow Theorems
- No Class (THANKSGIVING)
- No Class (THANKSGIVING)
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Week 14: Nov 27 - Dec 1
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- Brainstorming and Catchup Session
- Example: Groups of Order 12
- Free Groups
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Week 15: Dec 4 - Dec 8
- Generators and relations
- Review
- Review
- No Class (End of Semester)
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