# MTH1112 - Numbers, logic and graphs

## 6 points, SCA Band 2, 0.125 EFTSL

#### Offered

Clayton Second semester 2007 (Day)

#### Synopsis

Topics fundamental to mathematics and computing, including elementary number theory, sets, relations and functions; methods of logic and proof, especially proof by induction; recurrence relations and difference equations; trees and other graphs.

#### Objectives

On completion of this unit students will have an understanding of sets, relations and functions and associated concepts, and their uses in mathematics and computer science; will be able to use basic methods of proof, particularly induction, to solve problems in graph theory, combinatorics and number theory; will become familiar with simple first and second order recurrence relations; and will understand the basic concepts and algorithms of number theory, such as the euclidean algorithm and its role in investigating divisors and primes.

#### Assessment

Examination (3 hours): 85%

Assignments and/or practicals: 15%

#### Contact hours

Three 1-hour lectures and one 1-hour support class per week

#### Prohibitions

MAT1077, MAT1830