Math 307
Foundations of Mathematics
Course description: Course to bridge the gap between calculus and upper division mathematics courses. Topics will include selections from set theory, relations, functions, Boolean algebra, algebraic systems, and mathematical logic.
Prerequisites: Math 291, or permission of department head.
Text: Introduction to Advanced Mathematics by Barnier and Feldman, 2nd edition, Prentice Hall.
For details about your instructor's contact information, office hours, and policies, go to www.faculty.mcneese.edu and access your instructor's website.
Objectives
The student will be able to
- understand propositional logic, logical equivalence, tautology and contradiction;
- understand the rules of inference, including implications and counterexamples;
- use the basic proof techniques including: direct proof, proof by contradiction, and proof by contrapositive;
- understand and use mathematical induction to show the validity of a statement for an infinite sequence;
- use the algebra of sets for construction and proof, including union, intersection, and Cartesian product;
- understand functions and the concepts of composition, bijection, and inverse functions;
- find images and inverse images of sets under functions;
- use the concepts of relations, equivalence relations, and partial ordering of sets;
- use the concept of cardinality of finite and infinite sets;
- use the concepts of divisibility, prime factorization, and modular arithmetic in number theory;
- discuss topics of particular interest to students, at the instructor's discretion.
Course material
Course material will include the following topics:
| Topic | Chpt. | Sections |
|---|---|---|
| Introduction to logic | Ch. 1 | as needed |
| Methods of proof | Ch. 2 | 1–5 |
| Set theory | Ch. 3 | 1–4 |
| Cartesian products and functions | Ch. 4 | 1–3 |
| Relations | Ch. 5 | 1, 2 |
| Cardinality | Ch. 6 | 1–3 |
| Number theory | Ch. 7 | if time |
Assessment
The Semester score for the course will be calculated by using the weights (%) indicated below:
| Weight (%) | |||
|---|---|---|---|
| 75% | Semester average | Tests | ______ % |
| Assignments | ______ % | ||
| _________ | ______ % | ||
| 25% | Final exam grade |
The Semester letter grade in the course will be assigned according to the scale below:
| Semester grade | Semester score |
|---|---|
| 90–100 | A |
| 80–89 | B |
| 70–79 | C |
| 60–69 | D |
| 0–59 | F |
Notes:
- In cases of an excused absence, the instructor reserves the right to reweight the final exam in lieu of a make-up test.
- In the case where a student's score on his final exam indicates exceptional achievement above and beyond that indicated by the semester average, the instructor reserves the right to reweight the value of the final exam in computing the semester grade.
Please read the Department's Attendance Policy.
Instructor's office hours
can be found on the MSU web site at
http://www.faculty.mcneese.edu
Click on individual instructor to view their web page.
Or navigate from MSU Home Page; select Faculty & Staff, select Faculty Web Server.
Students should visit the MSU web page at
http://www.mcneese.edu/policy/diversity.htm
for information about diversity awareness and sexual harassment policies and
procedures, as well as the Americans with Disabilities Act.
Students should also visit the MSU web page at
http://www.mcneese.edu/integrity
for information on the Academic Integrity Policy.
ANY STUDENT WITH A DISABILITY IS ENCOURAGED TO CONTACT THE OFFICE OF SERVICES FOR STUDENTS WITH DISABILITIES IN DREW HALL, ROOM 200, VOICE (337) 475-5916, HEARING IMPAIRED (337) 475-5722. IT IS EACH STUDENT'S RESPONSIBILITY TO REGISTER WITH THE OFFICE OF SERVICES FOR STUDENTS WITH DISABILITIES WHEN REQUESTING A REASONABLE ACCOMMODATION.
One week of summer school is equivalent to 2 ½ weeks of Fall or Spring classes
DMCS
Location:
Kirkman Hall, Beauregard Drive
Mail:
Box 92340, MSU, Lake Charles, LA 70609
Phone:
(337) 475–5788,
Fax:
(337) 475–5799
e-Mail:
sbradley@mcneese.edu
