MATH 347: Fundamental Mathematics (Fall 2022)

Instructor: Kunjakanan Nath (knath [at] illinois [dot] edu).

Lectures:

• Section E1: MWF 1:00-1:50 pm in 143 Altgeld Hall.

Office Hours: Wednesday (2-2:50 pm) and Friday (2-3 pm) in 165 Altgeld Hall or by appointment.

Moodle:

Students can check the Moodle course page for most of the course information. This includes schedule, lecture notes, homework assignments/solutions, exam dates, and other details.

Course contents:

This course is an introduction to rigorous mathematical reasoning and writing, fundamental structures, and methods of proof. Topics to be covered: Logic, set theory, induction, equivalence relations, functions, number theory, cardinality, and convergence.

Textbook:

An Introduction to Abstract Mathematics (Neil Donaldson and Alessandra Pantano).

Homework assignments:

Weekly homework assignments will be given, details on Moodle.

Exams:

There will be three midterm exams and one three hours final exam. The midterm will take place in class. For more information, check Moodle.

Grading:

Your final grades will be computed based on the following percentages:

• Homework: 20%,

• Three midterm exams: 10% for the lowest one, and the other two will be 20% each,

• Final exam: 30%.