All numbers indicate sections from Introduction to Topology by Crump Baker.
R is for the reading assignment
C is for individual exercises that are assigned and will be collected
G is for group exercises that are assigned and will be collected
Monday |
Wednesday |
Friday |
| Jan. 23 |
Jan. 25 |
Jan. 27 Lecture #1: Introduction to Topology Proofs |
| Jan. 30 Lecture #2: Introduction to Math 385 Sets Homework Due: R 1.1-1.2 Written Homework #1: C 1.2: 1,3,7,9dfg |
Feb. 1 Lecture #3: Indexed Sets Extended Set Operations Homework Due: R 1.3 |
Feb. 3 Lecture #4: Functions Homework Due: R 1.4 Written Homework #2: C 1.2: 14,16 C 1.3: 2,4,8 C Decide on your group |
| Feb. 6 Lecture #5: Invertible functions Images of functions Homework Due: R 1.5 Written Homework #3: C 1.3: 11 G 1.3: 3,7,10 G 1.4: 3,8 |
Feb. 8 Quiz 1 Lecture #6: Continuity of real valued functions Homework Due: R 2.1 |
Feb. 10 Lecture #7: Real Open Subsets Analytic and Topological Continuity Homework Due: Written Homework #4: C 1.5: 6,8 G 1.4: 11,13 G 1.5: 1ac, 2bd, 5,7,11 |
| Feb. 13 Lecture #8: Analytic and Topological Continuity Properties of Open Sets Office Hours today: 1-1:30 2:45-3:30 Homework Due: Written Homework #5: C 1.5: 12 C 2.1: 1,4,8 |
Feb. 15 Quiz 2 Lecture #9: Topological Spaces Homework Due: R 2.2 |
Feb. 17 Lecture #10: Example of Topological spaces Homework Due: Written Homework #6: C 2.2:3 C Additional Problems G 2.1: 6 G 2.2: 1,2,8 |
| Feb. 20 Lecture #11: Continuity for Topological spaces Closed Sets Homework Due: R 2.3 Written Homework #7: C 2.2: 4,6 C Return comments G 2.2: 3,5,9 |
Feb. 22 Quiz 3 Lecture #12: Closure |
Feb. 24 Lecture #13: Limit Points Homework Due: R 2.4 Written Homework #8: C 2.3: 13 G 2.2: 12 G 2.3: 1,8,11,12,15 |
| Feb. 27 Lecture #14: Interior Exterior Boundary Homework Due: R 2.5 |
Feb. 29 Lecture #15: Basic open sets Homework Due: Written Homework #9: C 2.4: 16 G 2.4: 1,3,4,7,17 G Additional Problems |
March 2 Lecture #16: Subspace Topology Homework Due: R 3.1 Written Homework #10: C 2.4: 6,14(separate pages) G 2.5: 1(Use Thm 2.5.7),5,6 G Additional Problems |
| March 5 Spring Break |
March 7 Spring Break |
March 9 Spring Break |
| March 12 Lecture #17: Neighborhoods More Continuity Homework Due: R 3.2 Written Homework #11: C 2.5: 9,10 (Separate pages I will stop writing this but keep doing it) C Additional Problems |
March 14 Lecture #18: Proof of Continuity Theorem Homework Due: C Additional Problems (if you did not do it on Monday) |
March 16 Exam 1 Exam 1 prep questions |
| March 19 Lecture #19: Homeomorphisms Homework Due: R 3.3 |
March 21 Lecture #20: Topological Properties Homework Due: R 4.1 Written Homework #12: G 3.1:14,15,16 G 3.2:15,16,17 Use the group homework guidelines |
March 23 Lecture #21: Topological Properties Product Spaces Homework Due: R 4.2 Written Homework #13: C 3.3: 10, 15,18 C Hint for 10 |
| March 26 Lecture #22: Properties of Product Spaces Finite Products Homework Due: Written Homework #14: G 3.3: 20,21 G 4.1: 1,5 G Additional Problems |
March 28 Quiz 4 Lecture #23: Projection Functions Calculus Theorems Homework Due: R 4.4 |
March 30 Lecture #24: Connectedness Completeness Axiom Homework Due: R 5.1 Written Homework #15: G 4.1: 3,10,11 G 4.2: 5,6,11 |
| April 2 Lecture #25: Connectedness of usual topology Connected subsets Homework Due: R 5.2 Written Homework #16: C 5.1: 3,6 C Additional Problems |
April 4 Quiz 5 Lecture #26: Extended Intermediate Value Thm Homework Due: Written Homework #17: G 5.1: 7 G 5.2: 3,4 G Additional Problems |
April 6 Easter Break |
| April 9 Easter Break |
April 11 Lecture #27: Fixed Point Property Cut Points Homework Due: Written Homework #18: C 5.2: 14,15,19 |
April 13 Lecture #28: Connectedness in Product Spaces Homework Due: R 5.3 Written Homework #19: G 5.2: 21,22,23,24 G Additional Problems |
| April 16 Lecture #29: Extreme Value Property in the reals Questions for exam |
April 18 Exam 2 Topics: 3.2-3.3, 4.1-4.2,5.1-5.3 Exam 2 prep questions |
April 20 Lecture #30: Compactness Homework Due: R 6.1 Written Homework #20: C 5.3:1 |
| April 23 Lecture #31: Hausdorff Spaces Closed and Compact Heine Borel Homework Due: R 6.2 Written Homework #21: G 6.1: 2,3,5,6 |
April 25 Quiz 6 Lecture #32: Heine-Borel Bolzano-Weierstrass Theorem Extreme Value Theorem |
April 27 Lecture #33: Basic open covers Products of compact spaces Homework Due: Written Homework #22: G 6.1: 9,10,11,12,13,16,17 |
| April 30 Lecture #34: Tychonoff's Theorem Sequences Separation Axiom Homework Due: R 7.1 Written Homework #23: G Additional Problems: |
May 2 Lecture #35: Separation Axioms Homework Due: R 7.2 |
May 4 Lecture #36: Regular Spaces Normal Spaces Homework Due: R 7.3 Written Homework #24: C 6.2: 7,9 C 7.1: 2,3 |
| May 7 Lecture #37: Metric Spaces Homework Due: R 8.1 Written Homework #25: G 7.1: 8,13,16 G 7.2: 5 |
May 9 Quiz 7 Lecture #38: Metric Topology Homework Due: Turn in review problems Your Sections |
May 11 Lecture #39: Metric Spaces are Normal Topology and Analysis |
| May 14 Lecture #40: Questions for the Final Homework Due: Written Homework #26: Not to be turned in! C 8.1: 1,2,5,6 C 8.2: 2 Review Sheet for Final |
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