Syllabus, Math 407

Week of August 22

• Reading: Chapter 1
• Homework: see lecture notes
• Lecture notes

Week of August 29

• Reading: 4.1.2, 4.2.1
• Homework
• Lesson 3 and Lesson 4.

Week of September 5

• Reading: review for exam
• Homework: no homework this week
• Solution to triangle problem (taken from the TEXTEAMS IDSM institute).

Week of September 12

• Reading:
• Lesson 6 (unedited, rough).
• First Hour Exam, September 12. Some review materials: Exam 1, Exam2, and Final Exam from last year's course. Also, some random algebra problems. These review materials are not intended to be comprehensive, and some of them include topics we haven't covered yet. But they will give you a general idea of what sort of thing to expect. There will also be some questions on the triangle problem; see the solutions from last week.

Week of September 19

• Reading: 3.1
• Homework: 3.1.1 nos. 2, 3, 6; 3.1.2 no. 6
• Lesson 7: extended analysis of the catch-up problem, pages 76–78. Lesson 8: discussion of functions and equations. Here are some notes by Dick Stanley on this subject.

Week of September 26

• Reading: 3.2
• Homework: 3.2.3 nos. 5, 6; 3.2.4 nos. 1, 4
• Lessons 9 & 10: Ben Levitt discussed families of functions (pages 91–93) and logarithms, including how to derive the properties of logarithms from the exponent laws (pages 98–100).

Week of October 3

• Reading: 3.3
• Homework: Lesson 11: rates of growth, expressing functions in forms that show the growth rate, comparing different growth rates by taking the ratio of two functions (section 3.2.4). Lesson 12: finite differences and polynomial fitting (section 3.3.2).

Week of October 10

• Reading:
• Homework:3.3.2, nos. 1, 2; 3.3.3, nos. 1, 2
• Second Hour Exam, October 10: This is a take-home exam, due Monday October 17. You must do one of the Chapter Projects 3, 4, or 6 on page 130. You can discuss your project with me but not with other students.
• Lesson 13: extended analysis of paddock and box problem, section 3.3.3.

Week of October 17

• Reading: 7.1
• Homework: page 294, nos. 4, 7,
• Lesson 14: find the mistake in the "Theorem" on page 285. Lesson 15 was about definitions.

Week of October 24

• Reading: 7.2.1
• Homework:
• Lesson 16, Lesson 17

Week of October 31

• Reading:7.2.2
• Homework: Prove geometrically that composition of translations is commutative. Also, do p. 302, no. 4; p. 306, no. 5; p. 312, nos. 4, 10
• Lesson 18 (missed one class)

Week of November 7

• Reading:7.2.3–4
• Homework:Review
• Lessons 19, 20 were about reflections: finding the matrix, rotation as a product of two reflections.

Week of November 14

• Reading:7.2.5
• Homework:
• Third Hour Exam, November 14

Week of November 21

• Reading:
• Homework:

Week of November 28

• Reading:
• Homework: p. 443, no. 4; p. 462, nos. 3, 6

Week of December 5

• Reading:
• Homework:
• Review problems and Answers.

Final Exam, December 9, 8:00 p.m.–10:00 p.m.