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