| Felician College Home | Math Department Home | Dr. Uptegrove's Home
Page |
Syllabus |
| Date |
Date HW Due | Reading |
Classwork |
Assignments | Lecture notes |
| 9/9/11 |
9/12/11 |
Pre-assessments |
This sheet |
09Sep11 |
|
| 9/12/11 |
9/16/11 |
Pages 1 - 3 |
Proofs |
Problem 2.1 (in figure 1.1.2 on page 2) and problem 2.1 Follow Up on page 3; find an explicit rule for the handshake problem� |
12Sep11 |
| 9/16/11 |
9/19/11 |
Finish Chapter 1 |
Problems: handshake, rabbit, pizza |
1. Draw and measure an attractively proportioned rectangle 2. Find the answer to the pizza problem for 1, 2, and 3 toppings. What's the prediction for 5 toppings? Can you give a formula for the n-topping pizza problem? 3. Anything familiar about the answers for the 3- and 4-topping questions? |
16Sep11 |
| 9/19/11 |
9/23/11 |
Inductive proof and problem follow-ups |
19Sep11 |
||
| 9/23/11 |
9/26/11 |
Tower of Hanoi, inductive proof, pizza follow-up |
Pages 26-27, exercises 1.7: Problem 1.2 A through E Problem 1.2 followup 1, 2, and 3 Pages 33-34, exercise 1.8: At least 2 of the following: 1c,e,f,g,h� |
23Sep11 |
|
| 9/26/11 |
10/3/11 |
Direct proof, Tower of Hanoi, towers |
Page 21: 1c, d; the rest of the problems on page 34: 1c,e,f,g,h |
26Sep11 |
|
| 9/30/11 |
Group test |
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| 10/3/11 |
10/7/11 |
Tower of Hanoi, direct proof |
03Oct11 |
||
| 10/7/11 |
10/14/11 |
Direct proof, other kinds of proof |
Page 21: 1 a,c,d,f; extra credit: Page 21: 1e To be worked on over the next couple of weeks: Pg.62: 2a,b,c Page 67: 4.1 and 4.1 follow up� |
07Oct11 |
|
| 10/14/11 |
10/17/11 |
More on proof; number theory |
Page 21: 1f; explain 3+1=4 from Pascal's Identity; proofs on p. 62, problem 2, and explicit formula for alternating sequence |
14Oct11 |
|
| 10/17/11 |
10/21/11 |
Fibonacci sequences and begin number theory |
Page 62: Proof of alternating
sequence formula and odd sequence formula; page 73: 2a through h.
Note that some of these statements are false and can be proved false
via counterexample. |
17Oct11 |
|
| 10/21/11 |
10/24/11 |
Chapter 2 |
Number theory |
The rectangle problem; for Friday 10/28: page 73, problem 2a through i. |
21Oct11 |
| 10/24/11 |
10/28/11 |
Number theory |
Page 73: 2a-i; Page 82: 1,4 |
24Oct11 |
|
| 10/28/11 |
11/4/11 |
Number theory |
Page 82: Problem 4 finish up; read the proofs starting on page 91 |
28Oct11 |
|
| 11/4/11 |
11/11/11 |
Number theory |
Hand in: p.93 1a,b,c;p. 94: 2a, 2b, 5a, and 6a For discussion:p. 94: 3, 4, and 8 Answer "why" on page 93, section 2.8.7 What can be said about the gcd of any two members of the Fibonacci sequence? |
04Nov11 |
|
| 11/11/11 |
11/14/11 |
Chapter 3 |
Number theory |
Page 106: 10 |
11Nov11 |
| 11/14/11 |
11/18/11 |
Number theory |
Page 105: 3a, 4a, 9 ; consider the various Fibonacci gcd conjectures and results |
14Nov11 |
|
| 11/18/11 |
11/21/11 |
Chapter 4 |
Modular arithmetic |
P.105: 7a,b, 8; fill in these tables: addition, multiplication |
18Nov11 |
| 11/21/11 |
11/28/11 |
Modular arithmetic |
Page 163: 2a,2b,3; Pages 173-4: 1b,c,3,4a,5a� |
21Nov11 |
|
| 11/28/11 |
12/5/11 |
Modular arithmetic |
Pages 187-188: 1 and 5 |
28Nov11 |
|
| 12/5/11 |
12/9/11 |
Fractions |
Fraction worksheet; examples for properties 3 and 4 on page 72 |
05Dec11 |
|
| 12/9/11 |
12/12/11 |
Fractions |
Fraction worksheet 1, worksheet 2, worksheet 3, and worksheet 4 |
09Dec11 |
|
| 12/12/11 |
12/16/11 |
Chapter 5 |
Meredith video; Geometry |
Page 225, problem 4; examples of problems where properties 3 and 4 (from page 72) would be used, Worksheet 1, worksheet 2 |
12Dec11 |
| 12/16/11 |
List of homework assignments |
16Dec11 |
| Date |
Test |
| September 30, 2011 |
Test 1 -- group |
| October 31, 2011 |
Test 2 (Midterm) |
| December 2, 2011 |
Test 3 |
| December 19, 8:30 am |
Final Exam Final take home 1 Final take home 2 |