Date |
Mini-lecture Topics & Quiz/Exam Schedule |
Jan. 22 |
Ch.1-Ancient numeration; Hmk. 1 and Hmk.1-Solutions |
Jan. 27 |
Ch. 2-Early Greek mathematics; Hmk.2 |
Jan. 29 |
Ch. 3- Euclid; Hmk.3, Katz, pp.90-91, (read about Thaetetus' anthyphairesis ratio method) 1, 20, 21, and from notes: 27, 28; Proof of Problem 1 |
Feb. 3 |
Ch. 4-Archimedes; Lecture slides |
Feb. 5 |
Ch. 1-Babylonian sqr. root approx.; Lecture slides; QUIZ 1 |
Feb.10 |
Ch. 2-Quadrature I-Squaring polygons; Lecture slides; GROUP PROJECT 1: Construct on graph paper (using compass and straight edge only) a square which has the same area as a pentagon with vertices A=(0,0), B=(2,5), C=(-2,7), D=(-8,4), and E=(-5, -1) in a standard rectangular coordinate plane. Feel free to arbitrarily pick your unit length; Due Feb. 19. |
Feb.12 |
Ch. 2-Quadrature II-Squaring the Lune: Lecture slides |
Feb. 17 |
Ch. 6; Read section 6-2; Diophantine Eqs. I Lecture slides; Hmk. 4 |
Feb.19 |
Diophantine Eqs. II-India; Lecture 1st order linear solvability |
Feb.24 |
Diophantine Eqs. III- Depression technique;Lecture Hmk. 5, Katz p.419, #'s 30, 31. |
Feb.26 |
REVIEW & QUIZ 2 Midterm 1 Study Guide |
Mar.3 |
MIDTERM 1 |
Mar.5 |
Mayan counting and arithmetic |
Mar.10 |
Read Ch.7; Neg. numbers and row reduction; Hmk. 5. |
Mar.12 |
Nine Chapters contd: Root approximation. |
Mar.17 |
Nine Chapters contd: Double false position. Hmk.6/Quiz3 prep. solutions |
Mar.19 |
QUIZ 3 on Nine Chapters material; Descartes' Rule of Signs; Final Paper Guidelines |
Mar.24 |
Al-Khwarizmi (780-850CE) and Algebra Tiles I |
Mar.26 |
Al-Khwarizmi (780-850CE) and Algebra Tiles II |
Mar.31 |
Cesar Chavez Day-No class |
April 2 |
Descartes' Rule of Signs: Lecture slides |
April 7, 9 |
SPRING BREAK/ No class |
April 14 |
REVIEW |
April 16 |
MIDTERM 2 |
April 21 |
Newton's Method: Lecture slides Hmk. 8: Ch. 16 (Katz), p. 579, #'s 4, 5, and 6. More Newton's Method |
April 23 |
Newton's Method (contd.); NM wksheet Solutions |
April 28 |
Taylor Series |
April 30 |
Integral Approximation |
May 5 |
Groups, Rings, and Fields: Modular Solvability Lecture Slides |
May 7 |
QUIZ 5; Poster Presentations |
May 12 |
Poster Presentations QUIZ 5 Solultions-Final Exam Study Guide |
May 14,15 |
FACTULY CONSULTATION DAYS |
May 19 |
FINAL EXAM; Tuesday from 1:15P-3:15P in S2 207 |