MATH120-22S2 (C) Semester Two 2022

Discrete Mathematics

15 points

Details:
Start Date: Monday, 18 July 2022
End Date: Sunday, 13 November 2022
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 31 July 2022
  • Without academic penalty (including no fee refund): Sunday, 2 October 2022

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

Prerequisites

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.

Restrictions

MATH115

Course Coordinator / Lecturer

Rosie Cameron

Lecturers

James Bartlett and Felipe Voloch

Assessment

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

Recommended Reading

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

Indicative Fees

Domestic fee $802.00

International fee $4,563.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mathematics and Statistics .

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