- Office: Math 223
- Email: thomas.gassert at colorado.edu
- 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.
[Link]
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.
LaTeX resources
| Overleaf: | [link] |
| LaTeX Wikibook: | [link] |
| Look up TeX symbols: | [link] |
| Obtain LaTeX: | [link] |
Video consent form
This semester, I am participating in a study that is looking at teaching strageties in mathematics. A full description of the study can be found here. A number of our classes will be filmed; please fill out the consent form linked below. (It will only take a second.)
Consent form: https://www.surveymonkey.com/r/GassertStudentVideoConsent
Please complete the following survey
This semester, I have been participating in a study that is looking at teaching strageties in mathematics. As a follow up to this study, please complete the following survey.
Survey link.