MATH 3790

Math Prob Solv:Tech & Meth

Lec 01 selected

This class will provide an introduction to techniques for solving mathematical problems of the sort encountered in competitions (such as the Mathematical Olympiad or the William Putnam competition). There will be self-contained modules developing techniques from several branches of mathematics including number theory, combinatorics, geometry and analysis. The majority of the class time, however, will be devoted to examining examples. Students will be expected to prepare and present in class solutions to assigned problems.

Sections

Lecture

From the syllabus

From the Fall 2023 syllabus by Dorette Pronk. Open the PDF

Grading

25%Weekly assignmentsTwo lowest scores dropped
10%Class participation
10%Math Club presentations
10%Math Club reflections
20%Midterm testOctober 25
25%Final exam

Textbooks

  • The Art and Craft of Problem Solving, Paul Zeitz (free)
  • Putnam and Beyond, Răzvan Gelca and Titu Andreescu (free)
  • Problem-Solving Through Problems, Loren C. Larson (free)

Course rules

Attendance
Lecture attendance is mandatory; contact the instructor if illness prevents in-person attendance.
Homework
Submit weekly homework as one PDF to Brightspace by Thursday; the two lowest scores are dropped.
Collaboration
Collaboration is encouraged, but write up homework solutions independently.
Math Club
Students must attend four sessions: twice as an observer and twice as a presenter.
Missed exams
Email the instructor in advance if unable to attend an exam to discuss possible alternatives.
Absence
For absences of three days or fewer causing missed or late work, submit a Student Declaration of Absence Form.

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