Introduction to Advanced Mathematics, MGF 3301, Spring 2019.

Location: 106 LOV

Time: MWF 9:05-9:55

Instructor: Dr. Mark van Hoeij

Text: Irving Kaplansky, "Set Theory and Metric Spaces", AMS Chelsea Publishing, 1977. You can buy this book online new for $34 and used for less than $30.

Midterm Tests: Tentative schedule: February 6, March 6, and April 10 or 12.

Grading: There will be three tests during the semester (each is 20% of the final grade), and one final test (worth 25% of the final grade). The remaining 15% of the grade will be determined by homework and quizzes.

Exam policy: There will be no makeup tests or quizzes. A missed test can only be excused before the day of the test, and you will need a good reason with proof. When a missed test is excused, the grade of the test will be the same as the grade on your final. A missed test will not be excused on or after the day of the test, and a non-excused missed test means zero points.

Course objectives: This course is designed to assist in the transition from computation-oriented mathematics to the proof-based framework of most of advanced mathematics. We will begin with the study of propositional logic via truth tables, and proceed to the set theory that most working mathematicians need to know in their daily work. Topics will include functions and relations, infinite cardinal and ordinal numbers, uncountability, transfinite arithmetic, the Axiom of Choice and Zorn's Lemma. Emphasis in this course will be on learning to write clear proofs.

Honor code: copy of the University Academic Honor Code can be found in the current Student Handbook. You are bound by this in all of your academic work. It is based on the premise that each student has the responsibility to 1) uphold the highest standards of academic integrity in the student's own work, 2) refuse to tolerate violations of academic integrity in the University community, and 3) foster a sense of integrity and social responsibility on the part of the University community.

ada statement: Students with disabilities needing academic accommodations should: 1) register with and provide documentation to the Student Disability Resource Center (SDRC); 2) bring a letter to the instructor from SDRC indicating you need academic accommodations. This should be done within the first week of class. This and other class materials are available in alternative format upon request.