Current Courses and Seminars

Spring 2019 (under construction)

Office hours: 10:30-11:30 am MWF and by appointment, room 345JB

1.   Math 415, Introduction to Advanced Mathematics; 8:30-9:20am MWF, 336 JB

Text: Mathematical Proofs (third edition) by Gary Chartrand et al, Pearson.

The class meetings to be spent on each topic are approximate.

 

Sec #

Topic

Class meetings

 

1.1-1.6

Sets

2

 

2.1-2.11

Logic

4

 

3.1-4.6

Direct Proof and Proof by Contrapositive

6

 

5.1-5.5

Proof by Contradiction

3

 

6.1-6.4

Mathematical Induction

5

 

7.1-8.6

Equivalence Relations

6

 

9.1-9.7

Functions

3

 

10.1-10.5

Cardinalities of Sets

3

 

11.1-11.7

Some Proofs in Number Theory

3

 

12.1-12.6

Some Proofs in Calculus

4

 

 

There will be three quizzes (50 pts. each) and two tests during the semester (100 pts. each). Final exam (notice different time!) is scheduled for 7:00 - 8:50 AM on Wednesday, May 15, 2019.

2.   Math 640, Advanced Calculus II; 9:30-10:20am MWF, 336 JB

Text: The Elements of Real Analysis, by Robert G. Bartle, Second Edition.

The number of classroom hours to be spent on each topic is approximate.

 

Sections

Topic

Class meetings

27-28

The Mean Value Theorem and Applications

4

29-30

Riemann-Stieltjes Integral

12

32-33

Improper Integrals

3

34-36

Infinite series

5

37

Series of Functions

3

39-40

The Derivative in Rn

5

41

Mapping Theorems

3

42

Extremum Problems

3

 

There will be three tests during the semester (100 pts. each). Final exam (notice different time!) is scheduled for 9:00 - 10:50 AM on Monday, May 13, 2019.


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