MATH 347 C1: Fundamental Mathematics, Summer 2019
Prof. A.J. Hildebrand
www.math.illinois.edu/~ajh/347

Final Exam Results and Course Grades

Results are in! The median score was 137/150, the average 123/150. You can access your final exam score, and your total score and course grade, as usual at this link. The letter grade shown at the end of the online score display is your official course grade.

This has been a wonderful class to teach, and I am glad to have had this opportunity. I hope you found it an interesting and rewarding experience. Enjoy the rest of the summer, and all the best on the rest of your undergraduate studies here at Illinois!

Welcome

Welcome to Math 347! This course is an introduction to rigorous mathematical reasoning and proofs, and a preparation for upper level proof-based math courses such as Math 417 (Abstract Algebra) or Math 447 (Real Analysis). You will learn the fundamental concepts in mathematics such as sets, functions, and relations, how to construct a rigorous mathematical argument (a "proof"), and how to write up the argument in a clear and logically correct manner. Along the way, you will encounter many interesting, "cool" problems from a variety of areas of mathematics.

This course is both challenging and rewarding. It is unlike any other math course in that its focus is not on any particular mathematical subject, but rather on general mathematical concepts and abstract ideas, logical reasoning, and proofs. The emphasis is not on memorizing facts and formulas, but on learning precise mathematical thinking and logical reasoning. This course requires a serious investment of time and effort. The analytical and logical skills you acquire in this course not only prepare you for advanced math courses, but are also useful in the real world. Knowing how induction really works, or getting comfortable with fearsome looking epsilon-delta definitions that you may have seen in calculus, but never really understood, can be deeply gratifying. You'll come across many interesting mathematical gems, logical puzzles, and challenging problems that one normally wouldn't see in other courses.

I will do my best to help you along the way and make this course an interesting, enjoyable, and worthwhile experience. Below is some basic information about the course; more information will be posted here as we move along. If you have any questions, concerns, or suggestions, feel free to contact me (email ajh@illinois.edu). I look forward to working with you over the coming eight weeks, and wish you an enjoyable, productive, and fulfilling, summer semester!

Course Basics

Exam Information

Class Diary, Handouts, and Assignments

Daily class log with links to handouts, homework, and reading assignments.

Course Policies

Best of luck with this class,
and have a wonderful summer!


Last modified: Sat 03 Aug 2019 02:02:39 PM CDT A.J. Hildebrand