Foundations of Higher Mathematics			Syllabus	Evaluation Form
Tentative schedule:			Presentation Topic Handouts	Observational Checklist
Week	Topic	Tuesday 9:30-10:50	Thursday 9:30-10	Thursday 10-10:50
31-Jan	Language of proof	Propositions	Propositions & Quantifiers [1.1-1.3]	Quantifiers [1.1-1.3]
7-Feb	Sets	Introduction to Set Theory [2.1]	Set Operations [2.2]	Group work
14-Feb	Language of proof	Quantifiers & Methods of Proof [1.4]	Group work	Group work
21-Feb	Mathemetical Induction	Induction proofs [3.1]	Further Induction Results [3.2]	Group work
28-Feb		Further Induction Results [3.2]	Number Theory [3.4-5]	Group work
7-Mar	Number Theory	Number Theory [3.4-5]	Number Theory [3.4-5]	Group work
14-Mar	Relations and Congruence	Number Theory [3.4-5]	Relations & Graphs [4.1&2]	1st Student Presentation day
21-Mar		Relations & Graphs [4.1&2]	Equivalence Relations [4.3]	Group work
28-Mar	More Number Theory	Congruence [4.5]	Congruence [4.5]	2nd Student Presentation day
4-Apr	Functions	Functions as Relations [5.1]	Images and Inverse Images [5.5]	Group work
11-Apr		Spring	Break	!!!
18-Apr	Elementary Analysis	Sequences and Convergence [9.1]	Subsequences [9.2]	3rd Student Presentation day
25-Apr		Limits of Functions [9.3]	Continuity [9.4]	4th Student Presentation day
2-May	Combinatorics	Sum and Product rules [6.1]	Pigeonhole Principle [6.2]	Group work
9-May		Binomial Theorem [6.3]	Graphs [6.4]	5th Student Presentation day
16-May		catch up	catch-up	Group work
23-May			FINAL at 10:15
Week	Topic	Assignment:	Remarks
31-Jan		Complete Survey	First Journal due Monday via email.
7-Feb	Language of proof	F&P # 6,13,27,39,41,42.
14-Feb	Sets	F&P Chap 2 # 1,10,15,17,18,19.
21-Feb	Language of proof	F&P Chapter 1 # 43, 59, 67, 73(a), 73(b), 73(c)and (d), and supplemental problem (see right)	supplemental problems for homework 3 click here!
28-Feb	Induction	F&P Chap 3: # 1d, 1k, 1m, 1q, 5, 8, 15,19.	See new hints in induction handout (latest version!)
7-Mar	Induction	F&P Chap. 3: 20, 25, 28, 35, 36, 39 (do not hand in), 40, 52.	See new hints in induction handout (latest version!)
14-Mar	Number Theory	F&P Chapter 3 # 84, 94, 95, 101,103, 111,112 118.	Click here for homework hints
21-Mar	Relations	F&P Chapter 4 # 10, 11,13,19,20,25,34.
28-Mar	Equivalence Relations	F&P Chapter 4 # 35, 37, 40, 42, 65.
4-Apr	Congruence	F&P Chapter 4 # 66, 67,68,70 (hint: induction on m),73,75 (read Chinese Remainder Theorem, Thm 4.14), 81.
18-Apr	Functions	See end of handout on functions
25-Apr	Functions	F&P Chapter 5 # 67, 69, 73 and problem 8 from last week's homework.
2-May	Analysis	See Homework I on Analysis in handout	Practice Final	Other 320's Midterm from this term
9-May	Analysis	See Homework II on Analysis in handout second to last page of most recent version on the web (corrected 5/4/06) and fill out the survey to the left and return it to me.	Department Survey
16-May	Review	Do the practice final & Midterm. Also fill out the two surveys to the right and return it to the secretary in the math department.	Evaluation Form	Study skills survey