We focus on the tools necessary for writing and thinking like a mathematician. Students will learn to read proofs critically
and to write proofs rigorously. In addition, not only methods of proof, in this course, we review linear algebra and calculus.
Purpose of class
Successful students will be able to read proofs critically. Successful students will be able to write proofs rigorously. Successful students will gain deeper understanding of linear algebra. Successful students will gain deeper understanding of calculus.
Goals and objectives
Students will be able to read proofs critically.
Students will be able to write proofs rigorously.
Students will gain deeper understanding of linear algebra.
Students will gain deeper understanding of calculus.
HW assignments (Including preparation and review of the class.)
Amount of Time Required
Homework assignment #1-1
Homework assignment #1-2
Proof by induction
Homework assignment #1-3
Proof by contradiction
Homework assignment #1-4
Review of linear algebra: vector spaces
Homework assignment #2-1
Review of linear algebra: linear maps
Homework assignment #2-2
Review of linear algebra: bases
Homework assignment #2-3
Review of linear algebra: matrix representations
Homework assignment #2-4
Exercise and Examination 1
Term-end assignment 1
Review of calculus: derivatives
Homework assignment #3-1
Review of calculus: Mean value theorem
Homework assignment #3-2
Review of calculus: indefinite integrals
Homework assignment #3-3
Review of calculus: Riemann integrals
Homework assignment #3-4
Exercise and Examination 2
Term-end assignment 2
Relationship between 'Goals and Objectives' and 'Course Outcomes'
Evaluation method and criteria
Take-home exam 30% Homework assignment 20% Term-end assignment 15% Examination 35% If applicable, based on quizzes and classroom activities, points may be added to final scores.
Feedback on exams, assignments, etc.
ways of feedback
specific contents about "Other"
Feedback in the class
Textbooks and reference materials
Ted Sundstrom, Mathematical Reasoning: Writing and Proof Version 3, available at https://scholarworks.gvsu.edu/books/24/
Elementary set theory, Calculus and linear algebra.
Office hours and How to contact professors for questions
Send e-mail for appointment if necessary.
Development of social and professional independence
Course that cultivates an ability for utilizing knowledge
More than one class is interactive
Course by professor with work experience
Work experience and relevance to the course content if applicable
Education related SDGs:the Sustainable Development Goals