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 groupwork 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, 48all, 10,
13, 15, 16, 17* 1.3# 13, 619, 2124 
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# 116 all 2.3# 116 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 2829 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# 15all, 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# 115all 

Sep. 5 
2.6 The Euclidean algorithm, gcd & lcm Worksheet 09/05 
2.6# 19all  The worksheet for today
is now a homework due next class (whenever that may be!). Be Irmasafe! 
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 Worksheet 09/19 
2.7# 16 all 3.2# 120all 
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 Worksheet 09/21 
3.4# 18all  The
worksheet 09/21 is now a homework due
Thursday Sep. 28 (at the start of the class). 
Sep. 26 
3.5 Rational Root Theorem. Applications Worksheet 09/26 
3.5# 16all  
Sep. 28  Review for Exam 1  
Oct. 3  Exam 1  
Oct. 5  6.16.1 Algebraic vs. Transcendental Numbers  6.16 #9, 10, 11  
Oct. 10 
More on transcendental numbers 7.2 Complex Numbers 7.7 Euler's identity 
Handout
Pb. 5 7.2 #18 all 7.7 #3, 5, 7 
This
attached handout is one section
from the wonderful book Exploring the Real
Numbers, by Frederick W. Stevenson (ISBN 0130402613) You should know the proof of Euler's identity and also how you can derive from it various other identities 
Oct. 12 
7.3 Operations with cx. numbers and Geometry 7.4 Polar form of cx. numbers. Roots of cx. numbers Worksheet 10/12 
7.3 #415 all 7.4 #214 all 
Worksheet 10/12 is now a homework due Thursday, Oct. 19. 
Oct. 17  7.9 Log's of cx. numbers  7.9 #1, 2, 49all  
Oct. 19 
7.5 Complex numbers and geometric
transformations Worksheet 10/19 
7.5 #18all, 12  Problem 2 (only) from Worksheet 10/19 is a homework due Thursday, Oct. 26. 
Oct. 24  8.4 Fractals  8.4 #25  
Oct. 26  4.3 The circle, Archimedes and the number pi  4.3 #19, 10*  The worksheet for today was the equivalent of Pb. 10 from this section 
Oct. 31  Compound interest and
the number e 
You should know the
derivation for formulas for balance of bank
accounts with interest compounded ntimes/year vs. interest compounded continuously. 

Nov. 2  Conics  use this
review of conics from Stewart Calculus as textbook for this lecture and the next one 
#3, 6, 16, 29, 4952 (from Stewart  review of conics) 
Homework due Thursday, Nov. 9: Obtain the equations in standard form for an ellipse, hyperbola, parabola from their syntetic definitions. 
Nov. 7  Reflective properties of conics  # 59, 60  Exam 2 on
Tuesday, Nov. 14 covers all topics done between
Oct. 5 and Nov. 7. All problems in the worksheets and all suggested exercises are potential exam questions. Anything marked as "you should know" are also potential (theoretical) exam questions 
Nov. 9  Review for exam 2 
Nov. 14  Exam 2  You can do at home any (or even all) of the
problems 1, 2, 3, 4, for some bonus. The deadline to turn these in is Thursday, Nov. 16. You are allowed and encouraged to talk about the problems, but each of you should turn in their own work 
