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
Math2374 Fall 2006 Math2374 Spring 2006 (Section 011)Math2374 Fall 2005 (Sections 011,012)
Math2374 Spring 2005 (Section 021)
Math 2374 Fall 2004 (Sections 011,012)