General Course Information
Course Syllabus from Dennis Hejhal.Any changes in the syllabus will be posted here.
Links
Rob Edman's university homepageDennis Hejhal's university homepage
Course Material
| Handout | Topics | Date | Solutions |
| Introductory Survey | none | 22.01.2008 | Rob's Answers |
| Worksheet 1 | Review Material, Motivating Examples | 22.01.2008 | Solutions |
| Worksheet 2 | Mathematical Induction and Notation | 22.01.2008 | Solutions |
| Quiz 1 | Mathematical Induction | 31.01.2008 | Solutions |
| Worksheet 3 | Upper/Lower Bounds, Least Upper
Bound (sup) Greatest Lower Bound (inf), More proofs |
5.02.2008 | Solutions |
| Example Sequences | 10 pictoral examples of sequences | 07.02.2008 | mathematica notebook |
| Quiz 3 | Sequences and Limits | 06.03.2008 | Solutions |
| Quiz 4 | More sequences, divergent sequences | 28.02.2008 | Solutions |
| Quiz 5 | Improper Integrals, Integration by Parts | 06.03.2008 | Solutions |
| The Lost Figures | Figures 1 and 2 missing from page 99 of the text | 12.03.2008 | mathematica notebook |
| Quiz 6 | Geometric Series, Integral Test for convergent/divergent series | 13.02.2008 | Solutions |
Homework Assignments
| Homework | Due Date | Required Problems | Recommended Problems |
| Homework 1 | 31.01.2008 | Chapter 1: 4.5,4.6,4.7 | Chapter 1: 4.4,4.10,4.11 |
| Homework 2 | 07.02.2008 | Chapter 1: 4.16, 4.22 Chapter 2: 1.8 |
Chapter 1: 4.17,4.20,4.21,4.23 Chapter 2: 1.7,1.9,1.10,1.12 |
| Homework 3 | 14.02.2008 | Chapter 2 2.8,2.11,2.12, 2.17 Chapter 3 1.18, 1.20, 1.21 |
Chapter 2: 2.9,2.10,2.13,2.14 Chapter 3: 1.17-1.25 |
| Homework 4 | 21.02.2008 | Chapter 3: 2.10, 2.12, 2.14 (using theorems),2.15 | Chapter 3: 2.11,2.13,3.7, 4.4(cd), 4.5(b through i) |
| Homework 5 | 28.02.2008 | Chapter 3: 5.6, 6.8, 6.9, 6.10 | Chapter 3: 6.7, 6.11 with c > 0 |
| Homework 6 | 06.03.2008 | Chapter 3: 6.15(a), 6.25 | none |
| Homework 7 | 13.03.2008 | Chapter 4: 1.11 (d-l) | none |
| Homework 8 | 27.03.2008 | Chapter 4: 1.20,3.5,5.12(abcdgjnors) | none |
| Homework 9 | 03.04.2008 | Chapter 4: 5.12(fpqwvyz),6.15 (ef) | none |
| Homework 10 | 10.04.2008 | Chapter 4: 6.15(aci), 6.12,6.13,7.8(bcdhk) | none |
| Homework 11 | 17.04.2008 | Chapter 4: 8.17(bc),8.18(abc) | Chapter 4: 7.8(eijl),7.9,7.11,7.12 |
| Homework 12 | 24.04.2008 | Chapter 4: 8.18 but with f(x) = ln(1+x) and a=1 f(x) = tan(x) and a=0 (out to x**5) |
none |
| Homework 13 | 01.05.2008 | Chapter 4: 9.5, 9.7, 9.10 | Chapter 4: 9.6, 9.8, 9.9 |
Previous Course Webpages
Math2283 Spring 2010Math 1271 Summer 2009
Math 2283 Spring 2008
Math 1271 Fall 2008
Math 2374 Fall 2006
Math 2374 Spring 2006 (Section 011)
Math2374 Fall 2005 (Sections 011,012)
Math2374 Spring 2005 (Section 021)
Math 2374 Fall 2004 (Sections 011,012)