Math 300: Introduction to Mathematical Reasoning

Rutgers University

Instructor: Tom Benhamou

My Office: Hill 205

Office hours: Wed 11:00 am to 12:00 pm

E-Mail tom.benhamou (at) rutgers (dot) edu

Mon and Wed 2:00pm to 3:20pm at TIL-230 (LIV)

Textbook: Douglas Smith, Maurice Eggen, Richard St. Andre, A Transition to Advanced Mathematics 8th Edition.

Description

The propose of this course is to grant the students with the necessary tools to access advance mathematics. The main difficulty you will encounter during the shift to advance mathematics is the high standard of formality used by mathematicians. We will put an emphasize on this matter, especially on writing proofs. The second part of the course is devoted to the development of Set Theory and the mathematical universe which is the place where most regular mathematics (such as Calculus, Linear Algebra, Probability, Combinatorics etc.) occurs.

Final Grade

The final grade will be based on the results of the examinations and the solutions of the homework problems. Here are the weights of the different components of the course:

Homework 20%
Workshop and Class participation 10%
Midterm I 15%- 2.26.24 during class 2-3 pm
Midterm II 15%- 3.25.24 during class 2-3 pm
Final exam 40%

Workshop

We will have an hour a week of a workshop where we practice proof writing in class.

Worksheet 1.

Worksheet 1-Sols.

Worksheet 2.

Worksheet 2-Sols.

Worksheet 3.

Worksheet 3-Sols.

Worksheet 4.

Worksheet 4-Sols.

Worksheet 5.

Worksheet 5-Sols.

Worksheet 6.

Worksheet 6-Sols.

Worksheet 7.

Worksheet 7-Sols.

Worksheet 8.

Worksheet 8-Sols.

Worksheet 9.

Worksheet 9-Sols.

Worksheet 10.

Worksheet 10-Sols.

Worksheet 11.

Home Work

HW will be assigned weakly on Friday and are due the following Friday. Please submit your solutions on the Canvas platform in a clear, readable, properly scanned, unrotated single pdf file.