MATHEMATICS 301

Foundations of Mathematics

John Travis
MCC 315
925-3817 (voice mail)
travis@mc.edu (email)

COURSE TOPICS | Class Photos | Textbook | Course Description | Course Meetings | Grading

Textbook: A Transition to Advanced Mathematics, 5th edition, by Smith, Eggen and St. Andre; Brookes/Cole Publishing Company.

Course Outline:  Mathematics as a course of study falls somewhere between a science and an art.  However, special characteristics distinguish mathematics from the humanities and from other sciences.  Particularly important is the kind of reasoning that typifies mathematics. The natural or social scientist generally makes observations of particular cases or phenomena and seeks a general theory that describes or explains the observations. This approach is called inductive reasoning and is tested by making further observations.  If the results are incompatible with theoretical expectations, the scientist usually must reject or modify the theory.

A mathematician frequently uses inductive reasoning to describe patterns and relationships among quantities and structures. The characteristic thinking of the mathematician, however, is deductive reasoning, in which one uses logic to draw conclusions based upon statements accepted as true.

The goal of this course is to give the student a working knowledge of the basics of logic and the idea of proof, which are fundamental to deductive reasoning.

Meetings: This class meets as scheduled. You are expected to be in class on time. A student cannot miss more than 25% of the class meetings and receive credit for the course. Further, attendance will be necessary in order to understand the material and make a good grade. The student is responsible for work and material missed when absent. Cheating in any way will be properly rewarded according to University policy.

Grading: There will be at least two exams during the semester. Selected homework problems and writing assignments will be collected and graded, their average counting as an exam grade. Your final average will be computed by using the average of all the exam grades. The grading scale:

A=90-100

B=80-89

C=70-79

D=65-69

F=0-64

Aim now for the desired grade. Finally, all graded work will be returned to the student for keeping. If there were any question later about your grade, you would be expected to show these papers.