Math 414: Analysis I
Spring 2012

Most recent update: Friday, April 27

Announcements

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Instructor

Dr. James Wilson
Office, Phone, Email, Office Hours

Class Meetings

Regular Schedule: Mon - Fri, January 9 - April 27 in Carver 118, 11:00 - 11:50.
Exceptions: Holidays Monday, January 16, and Monday - Friday, March 12 - 16.
Final Exam Wednesday, May 2, in finals week, 9:45 - 11:45 AM.

Text and syllabus:

William R. Wade, An Introduction to Analysis, fourth ed., Pearson/Prentice Hall

We study the theoretical basis for calculus as far as we can in chapters One through Six or Seven.

Chapter 1, Real Numbers
Ch. 2, Sequences
Ch. 3, Limits and Continuity
Ch. 4, Differentiation
Ch. 5, Integration
Ch. 6, Series of Numbers
Ch. 7, Series of Functions

Homework

You will be expected to read the text carefully, including the recommended problems. Though you will not have time to work all the problems in detail, the more you do the better you will fare. Particular problems will be assigned and collected about every second class day.

Recommended Problems:
1.2 #1-8
1.3 #0-9,11
1.4 #0-8
1.5 #0, 1(a), 2-6
1.6 #0-8
2.1 #0-6
2.2 #0-8
2.3 #0-10
2.4 #0-6
3.1 #0-6
3.2 #0-7
3.3 #0-7,10
3.4 #0-2,4-6
4.1 #0-6,8
4.2 #0-6
4.3 #0-11
4.4 #0-7
4.5 #0-3
5.1 #0-10
5.2 #0-3,5-11
5.3 #0-2
6.1 #0-6
6.2 #0-7
6.3 #0-4
6.4 #0-7
7.1 #1-7
7.2 #1-8
7.3 #1-5,7
7.4 #1-8

Due Wednesday, January 18: 1.2 #1,4(d),5(b),7(c),8(a); 1.3 #7,8.
Due Monday, January 23: 1.3 #2,4,6,8,10.
Due Friday, January 27: 1.4 #4(b),6,7; 1.5 #2(b,e),3(c,d),4,6
Due Monday, February 6: 2.1 #1(d),2(b),3(c),4(b),7(b); 2.2 #2(b),4(a),5,6,7
Due Friday, February 10: 2.3 #3,4,6(a),7
Due Wednesday, February 15: 2.4 #2,3(c),4; 3.1 #1(c),2(give loose explanation, not proof),3(e),5,6
Due Monday, February 20: 3.2 #1(b),5; 3.3 #1(c),2(c),4,5,7,10
Due Friday, February 24: 3.4 #0(a,d),1(a),2(a,c),4,6; 4.1 #0(b),1(c),2,4
Due Monday, March 5: 4.2 #0(a,d),3,4,5
Due Friday, March 9: 4.3 #0(a,b),4,9,11(consider using the sequential criterion for continuity)
Due Wednesday, March 21: 4.4 #0,2,4,5(a,h). Do #5 two ways, as we do in class.
Due Monday, March 26: 4.5 #1,2,3.
Due Friday, March 30: 5.1 #0,6,9.
Due Monday, April 9: 5.2 #0(a,b,d),2(a),6,7; 5.3 #1(b),2(c),4(b),5.
Due Friday, April 13: 5.4 #1(b),2(d),4(c,e),5,8.
Due Wednesday, April 17: 6.1 #1(b),2(d),3(b),4; 6.2 #1(d),2(c,d),6,7
Due Wednesday, April 25: 6.3 #1(b,d),2(c,d,g),3(c,e),4; 6.4 #0(a,b,c),1(b,c,d),3(d,e)

Grading

Your course grade is based upon four tests and homework. The homework counts 25% of your grade. Tests One through Four count for 15, 20, 20, and 20 percent, respectively. Schedule:
Test One, Wednesday, February 1, on sections 1.1 - 1.5. Solutions
Test Two, Wednesday, February 29, on sections 2.1 - 2.4, 3.1 - 3.4, 4.1. Solutions
Test Three, Wednesday, April 4, on sections 4.2 - 4.5, 5.1. Solutions
Test Four (Final Exam) on sections 5.2 - 5.4 , 6.1 -6.4, Wednesday, May 2, 9:45 - 11:45 AM

Grading scale: 0 - 45% F, 45 - 57% D, 57 - 69% C, 69 - 81% B, 81 - 100% A. With plus/minus grading, every 4 percent changes your grade.

Disabilities:

If you have a disability and require accommodations, please see me early in the semester so that your learning needs may be appropriately met. Also, show documentation of your disability at the Disability Resources Office, 1076 Student Services Building, 515-294-6624.