Math 3000.001 Information

Spring 2014


Solutions to Exam 1-3

The SETE evaluation of teaching survey is now available online. Please go to my.unt.edu and complete the survey before May 4 when the survey closes.

Office hours on Friday are 8:30 – 10:00 PLUS a special review session behind the math lab on Friday 1:30 - 3:30!

Final Exam Monday 10:30

Syllabus

EXTRA HELP AVAILABLE!!!!

During the following hours, a graduate student will be in the room behind the main math lab area to provide help for this class.

Monday 2-4

Wednesday 8-11 and 2-3

Thursday 12:30-3:30

 


Homework and Reading Assignments: Homework is to be turned at the beginning of class on the days indicted below. Soon after class each day the homework assignments will be posted here. You should do all the homework listed, but turn in only the problems listed in bold face type. The reading assignments are to be completed by the beginning of class on the days indicated. The class discussion will focus on the reading assignment. The schedule below is subject to change.

o   January 13
Introduction to the course

o   January 15
Read Section 3.4 through practice 3.4.5 (Topology of R)
Read Section 1.2 through practice 1.2.2 (Set Theory)

o   January 17
Read Section 2.1 (Sets)
Page 140 1 a, b, c, f, 2 a, b (Turn in all of these.)

o   January 22
Continue with Section 2.1 (Sets)
Read Section 1.1 (Logic)

o   January 24
Continue with Section 1.1 (Logic)
Read Section 1.2 (Quantifiers)
Page 9
1, 2, 7, 8, 9, 11, 14 (Turn in 8, 11, 14)
Page 48
1, 2, 3, 6, 12, 14, 15 (Turn in 14, 15)

o   January 27
Abraham Lincoln Quote
Dean Martin Quote
Read all of Section 3.4 (Topology of R)

o   January 29
Continue with Section 3.4 (Topology of R)
Page 9 3, 4,
10 (Turn in 3 and 4)
Page 16
1, 3, 4, 5, 6, 8, 9, 11 (Turn in 3,4,6,8,9)

o   January 31
Continue with Section 3.4 (Topology of R)
Page 48 7, 8, 16, 17 (Turn in all of these)
Negate each of the following: Page 113, A2, Page 114 M2, M3, O2, O4, Page 205 Definition 5.2.1 (say what it means for f not to be continuous at c) (Turn in all these)

o   February 3
Continue with Section 3.4 (Topology of R)

o   February 5
Continue Section 3.4 (Topology of R)

o   February 7
Continue Section 3.4 (Topology of R)
Page 140 1e),g, 2g),h),i), 3a),b), 4a),b), 5a),b),d), 7b)
Page 51 25 (Turn in all of them.)

o   February 10
Continue Section 3.4 (Topology of R)

o   February 12
Review for Exam 1

o   February 14
Page 140 1h), i), 3e), 5e), f), 7g), h), 9, 10, 11, 12 (Turn them all in)
Page 140 (Not to turn in, just for fun!) 8, 13, 16
Exam 1

o   February 17
Read Section 3.2 (Axioms of R)

o   February 19
Read Section 3.3 (Completion Axiom)

o   February 21
Continue with Section 3.3 (Completion Axiom)
Turn in Homework Sheet on Axioms of the Reals

o   February 24
Continue with Section 3.3 (Completion Axiom)

o   February 26
Read Sections 2.2 up to equivalence relations (Relations) and 2.3 (Functions)

o   February 28
Continue with Section 2.3 (Functions)
Page 120 Turn in 4, Page 132, 3, 4, 5, 6, 7

o   March 3
Continue with Section 2.3 (Functions)

o   March 5
Read Section 5.2, but skip Theorem 5.2.2 through practice 5.2.4 (Continuous Functions)

o   March 7
Proving functions are continuous
Page 78 3, 6, 7, 10, 20
Page 131 1, 2, 8, 13
Page 140 4c,d, 14, 19, 20

o   March 17
Continue proving functions are continuous

o   March 19
Still more proving functions are continuous
Homework for March 26 (Day of Exam 2)

o   March 21
Proof of Intermediate Value Theorem

o   March 24
Review for Exam 2

o   March 26
Exam 2
Continuous Function Homework Due

o   March 28
Read Section 3.5 (Compact sets)
Homework due April 4

o   March 31
Continue with Section 3.5

o   April 2
Continue with Section 3.5

o   April 4
Continue with Section 3.5

o   April 7
Continue with Section 3.5

o   April 9
Continue with Section 3.5
Proof of Extreme Value Theorem

o   April 11
Continue Section 3.5

o   April 14
Continue with Section 3.5

o   April 16
Continue with Section 3.5
Turn in Page 148 8, Problems 3 and 4 from here, and Problem 4 from here.

o   April 18
Read Section 3.1 (Proof by Induction)

o   April 21
Continue Section 3.1 (Induction)
Page 109 6, 10, 11
Go to my.unt.edu and complete the SETE survey

o   April 23
Continue Section 3.1 (Induction)
Solutions to Problems 3 and 4
Go to my.unt.edu and complete the SETE survey

o   April 25
Exam 3
Page 109
14, 16, 22, 25
Go to my.unt.edu and complete the SETE survey

o   April 28
Read Section 2.4 (Cardinality)
Go to my.unt.edu and complete the SETE survey

o   April 30
Review for Final
Page 92 1, 2a-d, 3
Go to my.unt.edu and complete the SETE survey

o   May 5
Final in classroom at 10:30


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