MAT 200-JA (CRN: 19206):  Foundations of Advanced Mathematics     Fall 2017

Text:
An Introduction to Mathematical Thinking: Algebra and Number Systems,
by William J. Gilbert and Scott A. Vanstone. 
Pearson Prentice Hall, 2005.  ISBN: 0-13-184868-2



Grading: Graded Assignments (20%) - Best  5 of 6 (or so): Paper - 10/18.
Exams (50%*) - Wednesday: October 4, November 1, November 29 (Take-Home).
Final Exam (30%*) - Cumulative:  Monday, December 18.

 * The Final Exam grade, if higher than your lowest Exam grade, will replace the lowest Exam grade.

Make-up exams may be given by special arrangement in advance, otherwise the Final Exam grade will be used in it's place (see above).

Note:  No grade of "W" will automatically be given by me!!  If you desire a "W,"  you must process a withdrawal form that is signed by me!!!


 

COURSE  OUTLINE

Topic
Chapter
Sections
   Logic and Proofs 1
 1 - 6
   Integers and Diophantine Equations (if time permits) 2
 4, 5
   Induction and the Binomial Theorem 4
 1 - 3
   Rational and Real Numbers 5
 1 - 4
   Functions and Bijections 6
 1 - 8
   Complex Numbers 8
 1 - 7
   Polynomial Equations 9
 1 - 4


HOMEWORK ASSIGNMENTS
 
#
Date
Chapter
Sections Page
Problems
1
9/13 1
1 - 4
20
  1 - 6, 12 - 22, 26 - 39, 41 - 54, 55 - 61 odd
2
9/18
1
5, 6
20
  65, 66, 70, 75, 77, 82 - 84
3
9/25
4
1, 2
104
 2, 4, 6, 8, 11, 12, 16, 18 - 23, 32, 33
4
9/27
4
3
106
 36, 37, 40, 42, 45, 47, 56, 63, 65
5
10/31
5
1 - 4
121
 3, 6 - 8, 23, 26, 29, 31, 32, 35, 45, 47 - 50
6
11/22
6
1 - 8
153
 15, 18 - 21, 23, 24, 28, 39 - 41
7
11/27
8
1 - 5
218
 1 - 21 odd, 26, 36, 39, 40, 44, 45, 47 - 50, 52, 55 - 58
8
11/29
8
6, 7
219
 59 - 65 odd, 66 - 68, 70 - 73, 77, 84, 86, 89, 90, 93 - 99, 102, 103, 106, 111, 136, 137, 139
9
12/6
9
1 - 4
262
 13 - 16, 42 - 45, 47, 49, 50, 51, 53, 55, 57, 61, 63