# Discrete Mathematics (MATH 2001) Spring 2016

• Office: Math 223
• Office hours: By appointment and
•  Monday 3:00 PM -- 4:30 PM Tuesday 9:00 AM -- 10:00 AM Friday 3:00 PM -- 4:00 PM

### Complete course contents

The following document contains all material related to this course in a single pdf. The document also contains a number of remarks including my teaching philosophy, reflections, and how certain materials may need to be altered before re-using.

### Resources

 Text book: [pdf] [website] Course syllabus: [pdf] [tex] Flashcards: [pdf] [tex] LaTeX guide: [pdf] [tex] Book exercise template: [pdf] [tex] [Overleaf]

### Proof Portfolio

 Portfolio template (full): [pdf] [tex] [Overleaf] Proof 1: [txt] Final draft due Feb 22 Proof 2: [txt] Final draft due Feb 26 Proof 3: [txt] Final draft due Feb 29 Proof 4: [txt] Final draft due Mar 4 Proof 5: [txt] Final draft due Mar 7 Proof 6: [txt] Final draft due Mar 7 Proof 7: [txt] Final draft due Mar 9 Proof 8: [txt] Final draft due Mar 14 Proof 9: [txt] Final draft due Mar 19 Proof 10: [txt] Final draft due Mar 30 Proof 11: [txt] Final draft due Apr 4 Proof 12: [txt] Final draft due Apr 11 Proof 13: [txt] Final draft due Apr 15 Proof 14: [txt] Final draft due Apr 20 Proof 15: [txt] Final draft due May 2

### Worksheets

 Sets: [pdf] [tex] Subsets: [pdf] [tex] Cartesian product: [pdf] [tex] Set operations: [pdf] [tex] Indexed sets: [pdf] [tex] First proof: [pdf] [tex] First proof slides: [pdf] [tex] Second proof: [pdf] [tex] Definition review: [pdf] [tex] Definition review II: [pdf] [tex] "For some" [pdf] [tex] Statement negations [pdf] [tex] Proofs with negations [pdf] [tex] Conditionals and quantifiers [pdf] [tex] Proof by contradiction/contrapositive [pdf] [tex] Introduction to topology [pdf] [tex] Open and closed sets [pdf] [tex] Relations [pdf] [tex] Equivalence relations [pdf] [tex] Modular arithmetic [pdf] [tex] Functions [pdf] [tex] Inverses [pdf] [tex] Induction I [pdf] [tex] Induction II [pdf] [tex]

### Quiz solutions

Quiz grades are posted on D2L.

 Quiz 1: [pdf] [tex] Quiz 2: [pdf] [tex] Quiz 3: [pdf] [tex] Quiz 4: [pdf] [tex] Quiz 5: [pdf] [tex] Quiz 6: [pdf] [tex] Quiz 7: [pdf] [tex] Quiz 8: [pdf] [tex] Quiz 9: [pdf] [tex] Quiz 10: [pdf] [tex] Quiz 11: [pdf] [tex] Quiz 12: [pdf] [tex]

### Final exam

The final exam is on May 5 from 7:30 PM - 10:00 PM in our classroom (MUEN E417). Last semester's final. The first question on this test includes some material that we did not cover this semester, but most of the problem is still relevant to our class.