This webpage is dedicated to Math 174, offered at the University of South Carolina. Throughout the Fall of 2023, there will be two weekly sessions for this course. You can locate the notes on the following page. Additionally, I've included a preliminary course outline below, though please note that numerous modifications are expected. Here is the syllabus.
Instructor: Uttaran Dutta
Email: udutta@email.sc.edu
Office Hours: Tuesdays 2-4 pm, Thursdays 2-3 pm, LC 318.
Outline of the course
Topic 1: Logic of compound statements
Topic 2: Set theory
Topic 3: Elementary number theory
Topic 4: Induction
Topic 5: Counting - Permutations and Combinations
Topic 6: Graph theory
Reference: I intend to regularly upload my notes, drawing from a variety of sources. To provide you with an overview, here are a handful of main references I'll be using. (all of them are available online for free, any edition works),
I) Discrete Mathematics with Applications by Susanna S. Epp.
II) Discrete Mathematics: An Open Introduction by Oscar Levin.
III) Discrete Mathematics by David M. Clark and W. Ted Mahavier.
Grading
5% Attendance and class participation
20% Quizzes
15% Midterm 1
10 % Midterm 2 A
10 % Midterm 2 B
20% Midterm 3
20 % Final