Western New Mexico University

Gruszka's Courses:
Foundations of Mathematical Thinking

Assignments Handouts

 
CRN 2330, MW 7:00-8:15, Rm PHELPB 124
 
 
Semester: Spring 2002

Course: MATH 210, Foundations of Mathematical Thinking

Prerequisite: MATH 171, Calculus I

Instructor: Thomas Gruszka

Office: PD 236

Office Phone: 538-6102

Email Address: tpeter@cs.wnmu.edu

Office Hours: See Spring 2002 Schedule

Text: How to Read and Do Proofs, third edition, by Daniel Solow, chapters 1-12

Technology: Scientific Notebook

Syllabus:

  • Understanding what a proof is, in particular, the meaning of A implies B.
  • Using one form of a direct proof, the forward backward method
  • Proving statements that involve quantifiers
  • Proving statements using the method of contradiction
  • Proving statements using the method of contrapositive
  • Proving statements using the induction method
  • Proving statements that involve either/or or min/max

Assessment:

  • Quizzes and homework. Worth about 40% of the grade.
  • Midterm Exam/Project: An exam and/or project will be given once during the semester, about the middle of March. Worth about 30% of the grade.
  • Final Exam/Project: An exam and/or project will be given at the end of the semester. Worth about 30% of the grade.

Grades: A: 90%-100%, B: 80%-89%, C: 70%-79%, D: 60%-69%, F: below 60%
 

 
Assignments
 

  • Read Chapter 1; Work on problems on pp. 6-7, #1.1, 1.2, 1.4, 1.5, 1.10, 1.11, 1.12b
  • Read Chapter 2; Work on problems on pp. 17-22, #2.3, 2.5, 2.9, 2.11b, 2.12b, 2.13a, 2.16, 2.17, 2.19, 2.20, 2.21, 2.24, 2.26
  • Read Chapter 3; Work on problems on pp. 32-34, #3.2-3.7, 3.9-3.11, 3.14, 3.17



 
Handouts
 

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Western New Mexico University
January 18, 2002
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