Schedule

Listed below are deadlines for the semester. Generally, the problems listed under a date should be solved before that date. Problems for the first 10 weeks are roughly grouped by topic; it's up to you identify the topic. Finding the theme might help you solve problems, but don't let it keep you from being creative (one person's calculus problem might be another person's geometry problem). Notes and other information about the problems will be added as issues arise. Note that the future is uncertain and subject to change.

• 8/31: Discuss the syllabus and work on some practice problems:
  • GRE 1268: 6, 10, 30
  • GRE 8767: 2, 14, 21, 24, 29, 33, 46
• 9/7: Read an example of a math autobiography and solve all the following problems. Prepare your favorite 6 for presentation.
  • GRE 1268: 1, 20, 28, 33, 46
  • GRE 8767: 4, 13, 27, 31, 36, 44
• 9/14: Turn in your math autobiography (due 9/17 by email) and solve all the following problems. Prepare your favorite 6 for presentation.
  • GRE 1268: 9, 21, 25, 32
  • GRE 8767: 6, 7, 12, 16, 19, 27, 39, 41
• 9/21: Solve all the following problems and prepare your favorite 6 for presentation.
  • GRE 1268: 11, 17, 18, 56
  • GRE 8767: 8, 45, 51, 56
• 9/28: Solve all the following problems and prepare your favorite 6 for presentation.
  • GRE 1268: 3, 7, 13, 14, 44, 55, 61
  • GRE 8767: 30, 40, 65, (revisit 6, 51)
• 10/5: Solve all the following problems and prepare your favorite 6 for presentation.
  • GRE 1268: 22, 35, 41, 43, 48, 58, (revisit 55)
  • GRE 8767: 1, 3, 22, 42, 55 (revisit 44)
• 10/12: Practice exam (take-home open 10/12-16). Solve all the following problems and prepare your favorite 6 for presentation.
  • GRE 1268: 24, 34, 59, 64
  • GRE 8767: 5, 10, 38, 61, 62
• 10/19: Write a mid-term assessment of your work so far (due Friday 10/22). Solve all the following problems and prepare your favorite 6 for presentation.
  • GRE 1268: 4, 31, 37, 51
  • GRE 8767: 15, 32, 48, 52, 53
• 10/26: Solve all the following problems and prepare your favorite 6 for presentation.
  • GRE 1268: 5, 15, 16, 26, 52, 54
  • GRE 8767: 9, 20, 23, 25, 37, 47, 50, 57, 60
• 11/2: The remaining problems on the exams come from assorted advanced topics (abstract algebra, real anaysis, complex analysis, topology, etc.). Solve as many as you can and prepare your favorite 4 to present:
  • GRE 1268: 8, 12, 19, 23, 27, 29, 36, 38, 39, 40, 42, 47, 49, 50, 53, 57, 60, 62, 63, 65, 66
  • GRE 8767: 17, 18, 26, 43, 49, 54, 58, 59, 63, 64, 66
• 11/9: Problems 1-15 of GRE 9799.
• 11/16: Problems 16-25 of GRE 9799 and start to prepare for final presentations:
  • Submit a proposal of 6 problems you might like to present to the faculty (due 11/24)
  • The problems may come from GRE 0568, GRE 9367, or GRE 9768.
  • Plan to present the problems as if they aren't multiple choice and choose accordingly.
  • Find problems that will allow you to show off your math skills (not too easy, but something you understand fully).
• 11/23: Problems 26-35 of GRE 9799.
• 11/30: Practice exam (spend 1 hour 11/24-30). Present/discuss problems from the practice exam in class. Also read and discuss an example of a mathematical reflection.
• 12/7-10: Final presentations.
  • All math professors are invited to attend.
  • You will present one of your 6 selected problems.
  • You may work from notes.
  • You won't know in advance which of your 6 problems you'll be presenting.
  • The professors will ask questions after your presentation.
  • GRE 0568
  • GRE 9367
  • GRE 9768
• Saturday, December 11, 9:30-12:00 in Jepson 007: Major Field Test in Mathematics.
  • The exam consists of 2 one-hour sections with the opportunity for a break between sections. Bring a snack.
  • No calculators or outside materials are allowed.
  • Bring a pencil for scratchwork.
  • Short description of the MFT (page 2 is the more interesting part).
  • Official practice problems.
  • Proctor Manual for the MFT.
  • Start here: http://etsreadiness.ets.org/
• 12/14: Turn in your reflection/connections essay.
• 12/16-17: Turn in your final assessment and meet with Dr. Axon to negotiate a grade.

Links and Resources

• Geogebra
• Desmos
• CoCalc
• WolframAlpha
• Paul's Notes
• Dr. Shultis' Calc II Notes
• Dr. Shultis' Calc III Notes
• Dr. Shultis' Linear Algebra Notes
• Dr. Beezer's Linear Algebra Book
• Grinstead and Snell's Introduction to Probability
• Virtual Labs in Probability and Statistics
• Open Textbooks in Math
• U. Chicago GRE prep
• 2017 edition of the class
• 2014 edition of the class
• Presentation rubric (.tex)
• Practice exam 1
• Practice exam 2
• Syllabus
• Writing assignments

Videos

• Odd and even functions
• Mean value theorem intro
• More on the MVT
• GRE 8767 #56
• GRE 1268 #56
• Power series review
• Finding areas between curves and volumes of solids of revolution

Office hours (in person by default, virtual by request)

• Monday 11-12
• Tuesday 9-10 in the Math Learning Center and 12:40-1:40
• Wednesday 11-12
• Friday 11-12
• Or by appointment

Logan Axon
Department of Mathematics
MSC 2615
Gonzaga University
Spokane, WA 99258
Office: Herak 307A
Phone: 509.313.3897
Email: axon@gonzaga.edu

Last updated 11/16/2021