mae301 - syllbus F01

MAE 301 Foundations of Secondary School Mathematics

* Index
* Announcement
* Syllabus & Homework

MAE 301 Syllabus & Homework    Fall 2001


We will cover material in High School Mathematics: An Advanced Perspective. by Usiskin, Peressini, Marchisotto and Stanley.

Week 1 (Aug 27) Chapter 1. What Is Meant by `An Advanced Perspective'?
    Students will take part of the NYS Math III Regents Exam in class on Wednesday 8/29.

Homework 1 (due Sept 5)  p 1-15 nos 1, 7, 8

Week 2 (Sept 3; Weds only) Chapter 2. Real Numbers
omit sections 2.1.3 and 2.1.4 (except for proof of irrationality of e)
Homework 2 (due Sept 10) p 2-9 nos 5, 6, 12
                         p 2-19 nos 1, 4, 7

Week 3 (Sept 10) Chapter 2 (end) Complex Numbers. Chapter 3 Functions

Homework 3 (due Sept 24) p 2-58 nos 1bd, 4, 11
                         p 3-8 nos 3, 5
                         p 3-13 nos 4, 6ab
                         p 3-21 nos 1, 2, 7, 8
Week of September 17: No meetings
Week 4 (Sept 24; Mon only) Chapter 3 Functions (cont.)
Homework 4 (due Oct 3) p 3-32 nos 3, 6, 9, 10, 13
                       p 3-40 nos 1, 3, 7, 8
                       Understand Langrange Interpolation (p 3-84)

Week 5 (Oct 1) Chapter 4. Equations
Homework 5 (due Oct 10) p 4-6  nos 1, 2, 3, 7, 9
                        p 4-13 nos 1, 2, 3, 9, 16

Week 6 (Oct 8) Chapter 4. Equations
Homework 6 (due Oct 17) p 4-21 nos 3, 5, 6
                        p 4-23 nos 2, 5
                        p 4-32 nos 1, 7
                        p 4-37 nos 3, 4, 10, 12

Week 7 (Oct 15) Chapter 5. Integers and polynomials (through 5.2.2)
Homework 7 (due Nov 5) p 5-8  nos 1, 4, 5
                       p 5-16 nos 10, 12
                       p 5-21 nos 2, 8, 12
                       p 5-37 nos 2, 6
                       p 5-41 nos 6, 8, 9

Week 8 (Oct 22) Monday: Review for Midterm
Wednesday: Midterm Examination through Chapter 4. See Review for Midterm 1

Week 9 (Oct 29) Base representations (5.2.5), Division of polynomials (5.3.1), Equivalence relations, modular arithmetic (6.1.1)

Homework 8 (due Nov 7) p 5-64 nos 1, 3, 4, 5
                       p 5-73 nos 1, 3, 4, 5, 6
                       p 6-8  nos 1, 2, 5, 6, 14

Week 10 (Nov 5) Chapter 7: Isometries
Homework 9 (due Nov 14) p 7-40 nos 1, 3, 5
                        p 7-48 nos 1, 4, 9, 10, 12a

Week 11 (Nov 12) Chapter 7: Isometries (cont.)

Homework 10 (due Nov 28) p 7-68 nos 1, 2, 3
                         p 7-98 nos 1, 2, 3, 4, 8
                         Know Theorems 7-17 and 7-18 and their proofs

Week of November 19: No meetings


Week 12 (Nov 26) Chapter 9: Trigonometry

Homework 11 (due Dec 10) p 9-7  nos 1, 2, 3, 8a
                         p 9-13 nos 1, 2, 3, 6, 7
                         p 9-25 no 5
                         p 9-35 no 4
                         p 9-42 nos 1, 4

Week 13 (Dec 3) Wednesday Dec 5 Midterm 2 on material in chapters 5, 6, 7
See Review for Midterm 2.

Week 14 (Dec 10) Review.
Last day of classes: December 13
Final Examination: Monday December 17, 5-7:30 PM
Anthony Phillips
Math Dept SUNY Stony Brook
tony@math.sunysb.edu
November 2001