Mathematical Reasoning (215-49-302)             Instructor:  Ash, J.M.
Quarter:  Spring, 2008
Time:  MWF 1:10-2:10
Campus:  LPC
Room:  Levan 202
Phone(s): (773)325-4216
Fax: (773)325-7807
Office: 519 SAC
Office Hours: MWF 12:00-1:00, also by appointment



MAT 149, 151, 161, 171, or placement by the Mathematics Diagnostic Test. Prerequisites are strictly enforced by the Math Department. A prerequisite can only be waived by the approval of the instructor and the department chair.

Textbooks and other materials

Mathematical Reasoning. Writing and Proof, 2nd Edition, by Ted Sundstrom, Prentice Hall, 2007. ISBN-10: 0131877186

Summary of Course

Chapter 1. Conditional statements, constructing direct proofs
Chapter 2. Statements and logical operators; logically equivalent statements; predicates, sets, and quantifiers; quantifiers and negations
Chapter 3. Direct proofs, more methods of proof, proof by contradiction, using cases in proofs, the division algorithm and congruence
Chapter 4. Operations on sets, proving set relationships, properties of set operations, Cartesian products
Chapter 5. The principle of mathematical induction
Chapter 6. Introduction to functions; more about functions; injections, surjections, and bijections; composition of functions; inverse functions
Chapter 7. Relations, equivalence relations, equivalence classes

Homework and Grading Policy

Midterm and final exams, in class and closed book will count equally in determining a preliminary grade. Homework will be assigned each class day, discussed the next class day, collected the next class day and will increase or decrease the preliminary grade by at most one grade. For example, B+ and satisfactory homework = A-. Make-up exams will not be given. The final exam will be from 11:45-2:00 on Thursday, June 12, 2008.


Classroom lectures and discussion.



DePaul University's Academic Integrity Policy

Students must abstain from any violations of academic integrity and set examples for each other by assuming full responsibility for their academic and personal development, including informing themselves about and following the university's academic policy. Violations of academic integrity include but are not limited to the following categories: cheating; plagiarism; fabrication; falsification or sabotage of research data; destruction or misuse of the university's academic resources; alteration or falsification of academic records; and academic misconduct. Conduct that is punishable under the Academic Integrity Policy could result in additional disciplinary actions by other university officials and possible civil or criminal prosecution. To review the complete Academic Integrity Policy of the University, please go to .

Students with Disabilities

Students who  feel they may need an accommodation based on the impact of a disability should contact me privately to discuss their specific needs. All discussions will remain confidential.

To insure that you receive the most appropriate accommodation based on your needs, contact me as early as possible in the quarter (preferably within the first week of class), and make sure thast you have contacted the: