Mathematics 311

181 CALCULUS I (4+1) 4 credits

Instructor  Course Section                      Time
------------------------------------------------------------------------
Eric Olson  001 Math 311 INTRO TO ANALYSIS II   MWF 11:00-11:50am AB205

Course Information

Instructor:

Eric Olson

email:

ejolson at unr edu

Office:

MWF 12 noon Ansari Business Building AB 614 and by appointment.

Homepage:

http://fractal.math.unr.edu/~ejolson/311/

Text:

Willian Wade, Introduction to Analysis (3rd Edition), Prentice Hall, 2003.

Handouts

• Alternative Proof of the Inverse Function Theorem

Homework

Assignment #1 Due Aug 26, 2009
    Section 8.1 # 2abc, 6, 9ab

    Extra Credit: Prove or provide a counterexample to the claim 
    that |x|_p -> |x|_infinity as p -> infinity

Assignment #2 Due Sep 16, 2009
    Section 8.2 # 1a, 3, 6a
    Section 8.3 # 1, 6a, 9
    Section 8.4 # 1abcd, 3, 6

Assignment #3 Due Oct 2, 2009
    Section 9.1 # 6, 10ab
    Section 9.2 # 3
    Section 9.3 # 2, 9

    Prove if b_n <= c_n for all natural numbers n and c_n -> c 
    as n -> infinity.  Then for every epsilon > 0 there is 
    a natural number N large enough that b_n < c + epsilon for 
    every n >= N.

    Extra Credit: Prove or disprove that the set

        { 0 } union { 1/n : n = 1, ..., infinity }

    is closed.

Assignment #4 Due Oct 26, 2009
    Section 11.1 # 4, 6a
    Section 11.2 # 1a, 7
    Section 11.3 # 1bd, 2a, 4abcde
    Section 11.4 # 2ab, 9

Assignment #5 Due Dec 4, 2009
    Page 358 # 7
    Page 367 # 1ab, 6
    Page 405 # 2abc, 6ab, 10
    Page 418 # 2d, 4abc

Lectures

1. August 24
2. August 26
3. August 28
4. August 31
5. September 2
6. September 4
7. September 9
8. September 11
9. September 14
10. September 16
11. September 21
12. September 25
13. September 28
14. September 30
15. October 2
16. October 5
17. October 7
18. October 12
19. October 14
20. October 16
21. October 19
22. October 21
23. October 23
24. Lost October 26: Differentiability of the inverse function.
25. October 28
26. November 6
27. Lost November 9: Convergence of pseudo-Newton's Method and start of Integration.
28. November 13
29. November 16
30. November 20
31. November 23
32. December 4

Calendar

Mon, Aug 24, 2009   Instruction begins
                    Chapter 8.1-8.3
Mon, Aug 24, 2009   Late registration begins

Mon, Aug 31, 2009   Chapter 8.4-9.1
Wed, Sep 2, 2009    Final Date: adding classes or changing registration
Wed, Sep 2, 2009    Final Date: late registration and paying fees
Wed, Sep 2, 2009    Undergraduate Application for Graduation due
Wed, Sep 2, 2009    Final Date: 100% refunds

Mon, Sep 7, 2009    Labor Day
                    Chapter 9.2-9.3

Mon, Sep 14, 2009   Chapter 9.3
                    Review on Wednesday
                    Exam 1 on Friday

Mon, Sep 21, 2009   Chapter 10.1-10.3

Mon, Sep 28, 2009   Chapter 10.4-10.5
Thu, Oct 1, 2009    Graduate Application for Graduation due
Fri, Oct 2, 2009    Final Date: 50% refunds

Mon, Oct 5, 2009    Chapter 10.6-11.2

Mon, Oct 12, 2009   Chapter 11.3
Fri, Oct 16, 2009   Final Date: dropping classes

Mon, Oct 19, 2009   Chapter 11.4

Mon, Oct 26, 2009   Chapter 11.5
Fri, Oct 30, 2009   Nevada Day

Mon, Nov 2, 2009    Chapter 11.6
Chapter 13.1        Quiz 2
                    Chapter 12.1-12.3

Mon, Nov 9, 2009    Chapter 12.4
Wed, Nov 11, 2009   Veteran's Day
                    Exam 2 on Friday

Mon, Nov 16, 2009   Chapter 13.1-13.3

Mon, Nov 23, 2009   Chapter 13.3-13.5
Thu, Nov 26, 2009   Thanksgiving Day
Fri, Nov 27, 2009   Family Day

Mon, Nov 30, 2009   Chapter 13.5-13.6
Sat, Dec 5, 2009    Commencement

Mon, Dec 7, 2009    Review
Wed, Dec 9, 2009    Prep Day

Thu, Dec 10, 2009-
Wed, Dec 16, 2009   Finals Week

Grading

     3 Quizzes                 20 points each
     2 Exams                   70 points each
     1 Final Exam             100 points
     6 Homework Assignments    10 points each
    ------------------------------------------
                              360 points total

Final Exam

Equal Opportunity Statement

Academic Conduct