Table of topics and assignments 

This is a partially flipped class. This means that you are required to read and take notes from the corresponding sections of the book before the date listed in the table below. I will still go over some important points in class, but lecture time is minimized, so that there is time for group-work in class. Most important: you have to constantly solve at home all of the suggested exercises from the sections we cover. For exams (midterms and final), most of the questions will be very similar (or even identical) with problems from the suggested assignment, from the worksheets or from the examples presented in class.

 

Date Topics covered Suggested Assignment Comments
Aug. 22 1.2 Intuition vs. Proof
1.3 Types of Proofs
Worksheet 08/22
1.2# 1, 2, 4-8all, 10, 13, 15, 16, 17*
1.3# 1-3, 6-19, 21-24
Symbol * denotes more difficult, or more theoretical problems.
Exams contain mostly standard problems, but one or two
may be like the * ones.
Aug. 24 2.2 Odd/even, decimal representation
2.3 Divisibility rules
Worksheet 08/24
2.2# 1-16 all
2.3# 1-16 all, 18*
Fun puzzles for your future students in pbs. 17 and 18 in 2.2!
For Pbs 15&16 in 2.3, read the UPC label example on pages 28-29 in the text. 
Aug. 29
8.3 Math. Induction and Well ordering principle

2.5 The division algorithm
Worksheet 08/29

8.3# 2, 3, 6, 7, 8, 11, 13, 14

2.5# 1-5all, 7
The worksheet for today is now a homework due next class (Aug. 31)
Aug. 31 2.4 Prime decom. thm. Facts on primes

Worksheet 08/31
2.4# 1-15all

 
Sep. 5 2.6 The Euclidean algorithm, gcd & lcm
Worksheet 09/05
2.6# 1-9all The worksheet for today is now a homework due next class
(whenever that may be!). Be Irma-safe!
Sep. 7 University closed - Irma    
Sep. 12 University closed - Irma    
Sep. 14 University closed - Irma    
Sep. 19 2.7 Division of polynomials
3.2 Factor Theorem
2.7# 1-6 all
3.2# 1-20all
Please note the new schedule. Exam 1 is now scheduled  for Oct. 3 and covers all sections
done between Aug. 22 and Sep. 26.
All problems in the worksheets and all suggested exercises
are potential exam questions. Possible theoretical topics for Exam 1 (proofs you need to know):
Theorem 2.18, Theorem 2.30, Theorem 2.16 (proof uses thm. 2.30),
 Theorem 3.1 and Corollary 3.3, Theorem 3.12.
Sep. 21 3.4 Fundamental Thm. of Algebra
Viete's relations
3.4# 1-8all  
Sep. 26 3.5 Rational Root Theorem. Applications 3.5# 1-6all  
Sep. 28 Review for Exam 1    
Oct. 3 Exam 1