THE UNIVERSITY OF WESTERN ONTARIO (WESTERN UNIVERSITY), LONDON, CANADA

DEPARTMENT OF MATHEMATICS
## Mathematics 1120B: January-April 2018

## Fundamental Concepts in Mathematics

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The course will meet on MWF 1:30-2:30 pm (starting January 8), in NCB-293.

**Instructor:** Tatyana Barron

**Office hours** (in Middlesex College, room 247): TBA.

**Textbook:** *Proofs and fundamentals : a first course in abstract mathematics, 2nd edition* by E. Bloch,

published by Springer, 2011. Available online through the UWO library website.

**Prerequisite:** Ontario MCV4U or Mathematics 1600A/B.

**Antirequisites:** Mathematics 2155F/G, the former Mathematics 2155A/B.

**Course description:** Primarily for students interested in pursuing a degree in one of the mathematical sciences. Logic, set theory, relations, functions and operations, careful study of the integers, discussion of the real and complex numbers, polynomials, and infinite sets.

Mathematics 1120B is an introduction to rigorous mathematical thinking. The main purpose of the course is to teach students to understand mathematical reasoning
and write mathematical proofs. There will be regular homework assignments to help the students acquire information and develop the required analytical skills. There will also be
some discussion of applications as time permits.

**Course outline:** to be posted.

**Evaluation of student performance:**

- Two one-hour, in-class, midterm exams: 10% each (the dates are to be announced)
- Final exam 40% (scheduled by the Registrar's office)
- Assignments 40%