Date  Topics covered  Reading  Homework Assignments 
Monday January 11 
Introduction 
Hammack Chapter
1 

Wednesday January 13 
Introduction to LaTeX 
If possible, bring a laptop with LaTeX
installed (see the bottom of this page). We will use the following .tex and .bib files (which generate this .pdf). 

Friday January 15 
Introduction to sets Overview. 
HW1: Due Friday January 15 Hammack Chapter 1 Exercises: Section 1.1: 2, 8, 18, 30, 38, 40. 

Monday January 18 
NO CLASS MLK 
NO CLASS MLK  
Wednesday
January 20 
Introduction to
LaTeX continued. 
If possible, bring a laptop
with LaTeX installed (see the bottom of this page). We will use the following .tex and .bib files (which generate this .pdf). 

Friday
January 22 
Sets continued:
Venn diagrams, subsets, union, intersection, difference,
complement. 
HW 2: Due Friday
January 22 Hammack Chapter 1 Exercises: Section 1.2: 2, 4, 8, 12, 18. Exercises on sets: 1.48, 1.49 on the following .pdf 

Monday January 25 
Sets
continued: Products of sets, power sets, indexed sets, sets
of numbers. 

Wednesday January
27 
Sets continued: Maps of sets. 

Friday January 29 
Introduction to linear algebra
Vector spaces, subspaces, linear maps. 
Read this .pdf
on linear algebra 
HW 3: Due Friday January 29 Hammack Chapter 1 Exercises: (5 points extra credit for typing in LaTeX.) Section 1.3: 2, 6, 12. Section 1.4: 2, 10, 14, 19. Section 1.5: 2, 4, 6. Section 1.6: 2. Section 1.7: 4,5,6. Section 1.8: 2, 11, 12. Not for credit: Exercises on sets on the following .pdf (Do not turn these in.) 
Monday
February 1 
Introduction
to logic Overview 
Hammack Chapter 2  
Wednesday
February 3 
Logic
continued: Overview of proofs. 

Friday
February 5 
Review 
HW 4: Due Friday
February 5 Hammack Chapter 2 Exercises: (5 points extra credit for typing in LaTeX.) Section 2.1: 2, 4, 6. Section 2.2: 2, 6. Section 2.3: 8, 10. Section 2.4: 4. Exercises 6.36.15 on linear algebra on the following .pdf 

Monday February 8 
Homework review 

Wednesday
February 10 
Review  
Friday February 12 
MIDTERM I 
MIDTERM I 

Monday February 15 
LaTeX review  If possible, bring a laptop
with LaTeX installed (see the bottom of this page). We will use the following .tex and .bib files (which generate this .pdf). 

Wednesday February 17 
Logic
continued: Statements, and or not, conditional statements, biconditional statements, truth tables, logical equivalence. 

Friday February 19 
Logic
continued: Quantifiers, translating english into symbolic statements, negating statements, logical inference 
HW 5: Due Friday
February 19 Hammack Chapter 2 Exercises: (Must by typed in LaTeX.) Section 2.5: 4, 6, 8. Section 2.6: 4, 6. Section 2.7: 2, 4, 8. Section 2.9: 2, 3, 4, 5. Section 2.10: 2, 4, 10. 

Monday February
22 
Linear algebra continued: Proofs of some linear algebra statements. 
Read the .pdf on linear algebra again  
Wednesday
February 24 
Some techniques of proof Definitions (4.2), direct proof, mathematical writing (5.3), contrapositive proof. 
Hammack Chapter
4 Hammack Chapter 5 

Friday February
26 
Review 
HW 6: Due Friday February 26 Hammack Chapter 45 Exercises: (Must by typed in LaTeX.) Chapter 4: 110. Chapter 5: 15, 1620. Not for credit: Exercises 6.176.25 on linear algebra on the following .pdf (Do not turn these in.) 

Monday February 29 
Techniques of
proof continued: Proof by contradiction. 
Hammack Chapter 6  
Wednesday March 2 
Techniques of
proof continued: Proving nonconditional statements, proofs involving sets, disproof. 
Hammack Chapter
7 Hammack Chapter 8 Hammack Chapter 9 

Friday March 4 
Review 
HW 7: Due Friday March 4 Hammack Chapter 67 Exercises: (Must by typed in LaTeX.) Chapter 6: 28. Chapter 7: 1921. Exercises 6.36.15 on linear algebra on the following .pdf 

Monday March
7 
Techniques of proof continued: Proof by induction. 
Hammack Chapter 10  
Wednesday
March 9 
Relations Reflective, symmetric, transitive, 
Hammack Chapter 11  
Friday March
11 
Review 
HW 8: Due Friday March 11 Hammack Chapter 810 Exercises: (Must by typed in LaTeX.) Chapter 8: 2, 6, 1018. Chapter 9: 2, 4, 6, 8, 10, 12, 14. Chapter 10: 115. Exercises 6.176.25 on linear algebra on the following .pdf 

Monday March 14 
Homework
review 

Wednesday March 16 
Review  
Friday
March 18 
MIDTERM II 

Week
of March 21March 25 
SPRING BREAK  SPRING BREAK  
Monday March
28 
Functions  Hammack Chapter 12  
Wednesday March
30 
Functions continued: Composition, inverse, image, preimage, injective, surjective, and bijective. 

Friday April 1 
Review 
HW 9: Due Friday April 1 Hammack Chapter 11 Exercises: (Must by typed in LaTeX.) Section 11.0: 2, 4, 6. Section 11.1: 2, 6, 10. Exercises 6.36.15 on linear algebra on the following .pdf 

Monday April 4 
Functions continued:  
Wednesday April 6 
Equivalence
relations 

Friday April 8 
Review 
HW 10: Due Friday April
8 Hammack Chapter 12 Exercises: (Must by typed in LaTeX.) Section 12.1: 4, 6. Section 12.2: 5, 10. Section 12.3: 1, 2. Section 12.4: 2, 6, 10. Section 12.5: 2, 8. Exercises 6.176.25 on linear algebra on the following .pdf Not for credit: Section 12.6: 2, 4, 6, 8, 10, 12, 14. (Do not turn these in.) 

Monday April
11 
Equivalence relations continued: Partitions, quotients, universal properties. 

Wednesday
April 13 
Partially ordered sets 

Friday April 15  Review 
HW 11: Due Friday April 15 Hammack Chapter 11 Exercises: (Must by typed in LaTeX.) Section 11.2: 2, 5, 11, 12. Section 11.3: 2, 4. Section 11.4: 4, 6. Exercises 6.36.15 on linear algebra on the following .pdf 

Monday April 18 
Partially ordered sets continued:  
Wednesday April 20 
Cardinality 
Hammack Chapter 13  
Friday April 22 
Cardinality
continued: Countability, comparing cardinality, CantorBernsteinSchroeder Theorem. 
HW 12: Due Friday April
22 Not for credit (do not turn these in): Hammack Chapter 13 Section 13.1: 4, 10. Section 13.2: 3, 9. Section 13.3: 4, 8, 10. Section 13.4: 1, 2. Exercises 6.176.25 on linear algebra on the following .pdf 

Monday April 25 
Homework review  
Wednesday April
27 
Review 

Friday April 29 
Review 

Tuesday May 3 
FINAL
EXAM 1:30 PM 
4:00 PM ECCR
108 (Lecture Room) 
FINAL EXAM 