MATH120-20S2 (C) Semester Two 2020

Discrete Mathematics

15 points

Details:
 Start Date: Monday, 13 July 2020 End Date: Sunday, 8 November 2020
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Friday, 24 July 2020
• Without academic penalty (including no fee refund): Friday, 25 September 2020

Description

Discrete mathematics is that part of mathematics not involving limit processes. It includes logic, the integers, finite structures, sets and networks.

Discrete mathematics underpins many areas of modern-day science including theoretical computer science, cryptography, coding theory, operations research and computational biology. This course is an introduction to discrete mathematics, and is designed for students interested in mathematics or computer science. Topics covered in the course include: logic, number theory, cryptography, set theory, functions, relations, linear algebra and graph theory.

Suitable background for MATH120 includes at least 18 credits in NCEA Level 3 Mathematics with Calculus and/or Level 3 Mathematics with Statistics; or MATH101 (available in Semester 1).

Learning Outcomes

• Students who have succeeded in this course will be able to:
•  recognize and solve a range of problems in discrete mathematics
•  understand important ideas from classical number theory, abstract algebra, graph theory and discrete probability.
•  understand, analyse and decipher some of the old and modern cryptographic schemes
•  think rigorously based on an axiomatic approach

Pre-requisites

1. MATH101 or
MATH102 or
EMTH118, or
2. NCEA 14 Credits (18 strongly recommended) at level 3 Mathematics, or
3. Cambridge: D at A level or
an A at AS level in Mathematics, or
4. IB: 4 at HL or
5 at SL in Mathematics, or
5. approval of the Head of School based on alternative prior learning.

MATH115

Assessment

Weekly Assignments;
Tutorials;
Mid-Term Test;
Final Exam.

To obtain a passing grade in this course you must pass the course as a whole (which requires an overall mark of 50% or more) and score at least 40% in the final exam.

Textbooks / Resources

Epp, Susanna S; Discrete Mathematics with Applications ; 4th or 5th Edition;