*Rogers: Courses: MTH 444: Homework Assignments

Current Homework

May 16: Final Exam will be Wed, May 21, 8:00-10:00


Older Homework

May 16: Final Exam will be Wed, May 21, 8:00-10:00

May 14: 6.1 #11; 6.2 #7; no turn-ins

May 12: 6.1 #13; no turn-ins

May 9: 6.1 #3, 4; no turn-ins

May 7: 6.1 #1, 2, 5; turn in #19

May 5: Homework handout is posted on Blackboard; no turn-ins

April 30: Read Def 5.2.18, Ex 5.2.19, Ex 5.2.20, Ex 5.2.23, and Ex 5.2.24; do 5.2 #21, 24; no turn-ins

April 28: 5.2 #17, 18, 19; 5.3 #1; turn in 5.3 #6 (i.e., prove R x {0,1} is disconnected; use Def 5.1.1 or Thm 5.2.1)

April 25: 5.2 #1, 2, 3, 4, 13; 5.3 #3; no turn-ins

April 23: 5.1 #1, 7; no turn-ins

April 21: no new HW

April 16: 4.3 #8, 9; turn in #9(c)

April 14: 4.3 #6, 7; no turn-ins

April 11: 4.3 #10 (see note on Blackboard); no turn-ins

April 9: 4.2 #1, 2, 3; turn in 4.2 #7

April 7: Homework handout is posted on Blackboard

April 4: 4.2 #4, 5, 6; 4.3 #3; no turn-ins

April 2: 4.1 #2, 8, 10; turn in 4.1 #9

March 21: 3.3 #2, 5; 3.4 #1-4; no turn-ins

March 19: no new HW

March 17: read Example 2.1.7; do 2.1 #8, 9; read Example 2.2.14; do 2.2 #11, 12; read Example 3.2.11; do 3.2 #3; also do 3.2 #13, 14 (these use Def 3.2.2, which we learned a long time ago); no turn-ins

π: Exam 1 today

March 12: no new HW

March 10: 1.5 #7; turn in 1.5 #5

March 7: Homework handout is posted on Blackboard

March 5: 3.1 #5; turn in 3.1 #15

March 3: 3.1 #1-4 all, 6(a,b); turn in 3.1 #7

February 28: Turn in 2.4 #15 (was incorrectly assigned on 2/21)

February 26: 2.4 #3(b,c,d), 6(b,c,d); 2.5 #1, 3, 8; turn in 2.5 #10

February 24: Consider the indiscrete topology on X={0,1}. Let A={0}. Find A'. Find A'', which is (A')'. Turn in: In a topological space, prove if A ⊂ B, then A' ⊂ B'.

February 21: 2.4 #1(c), 2(c), 3(a), 4(a), 5(a), 6(a), 7(a); turn in 2.4 #15

February 19: 2.3 #1, 5, 12; turn in: prove Thm 2.3.17(b) using the method we used in class to prove Thm 2.3.17(a)

February 17: 2.2 #7; 2.3 #2, 3, 13; turn in this: Give an alternate prove that the collection in Example 2.2.8 is a topology by showing that the allegedly closed sets do indeed satisfy the dual properties of closed sets.

February 14: No new HW

February 12: 2.1 #1, 3, 4; 2.2 #5; turn in 2.2 #6

February 10: 2.2 #1; turn in 2.2 #4

February 7: 2.2 #2; turn in 2.2 #3

February 5: Countable and uncountable HW handout

February 3: 1.3 #1, 3, 5, 7; turn in 1.3 #8


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