MATH120-25S2 (C) Semester Two 2025

Discrete Mathematics

15 points

Details:
Start Date: Monday, 14 July 2025
End Date: Sunday, 9 November 2025
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 27 July 2025
  • Without academic penalty (including no fee refund): Sunday, 28 September 2025

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 EMTH117 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

Timetable 2025

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Tuesday 14:00 - 15:00 A1 Lecture Theatre
14 Jul - 24 Aug
8 Sep - 19 Oct
02 Tuesday 14:00 - 15:00 Online Delivery
14 Jul - 24 Aug
8 Sep - 19 Oct
Lecture B
Activity Day Time Location Weeks
01 Wednesday 08:00 - 09:00 A1 Lecture Theatre
14 Jul - 24 Aug
8 Sep - 19 Oct
02 Wednesday 08:00 - 09:00 Online Delivery
14 Jul - 24 Aug
8 Sep - 19 Oct
Lecture C
Activity Day Time Location Weeks
01 Thursday 14:00 - 15:00 A1 Lecture Theatre
14 Jul - 24 Aug
8 Sep - 19 Oct
02 Thursday 14:00 - 15:00 Online Delivery
14 Jul - 24 Aug
8 Sep - 19 Oct
Lecture D
Activity Day Time Location Weeks
01 Monday 14:00 - 15:00 A1 Lecture Theatre
14 Jul - 24 Aug
8 Sep - 19 Oct
02 Monday 14:00 - 15:00 Online Delivery
14 Jul - 24 Aug
8 Sep - 19 Oct
Tutorial A
Activity Day Time Location Weeks
01 Friday 13:00 - 14:00 Meremere 409
14 Jul - 24 Aug
8 Sep - 19 Oct
02 Tuesday 17:00 - 18:00 James Logie 105
14 Jul - 24 Aug
8 Sep - 19 Oct
03 Wednesday 15:00 - 16:00 James Logie 105
14 Jul - 24 Aug
8 Sep - 19 Oct
04 Thursday 09:00 - 10:00 James Logie 105
14 Jul - 24 Aug
8 Sep - 19 Oct
05 Thursday 15:00 - 16:00 James Logie 105
14 Jul - 24 Aug
8 Sep - 19 Oct
06 Thursday 16:00 - 17:00 James Logie 105
14 Jul - 24 Aug
8 Sep - 19 Oct
07 Thursday 17:00 - 18:00 James Logie 105
14 Jul - 24 Aug
8 Sep - 19 Oct
08 Friday 08:00 - 09:00 James Logie 105
14 Jul - 24 Aug
8 Sep - 19 Oct
09 Friday 09:00 - 10:00 Jack Erskine 241
14 Jul - 24 Aug
8 Sep - 19 Oct
10 Friday 12:00 - 13:00 James Logie 105
14 Jul - 24 Aug
8 Sep - 19 Oct
11 Monday 10:00 - 11:00 Psychology - Sociology 213
14 Jul - 24 Aug
8 Sep - 19 Oct
12 Monday 13:00 - 14:00 Psychology - Sociology 213
14 Jul - 24 Aug
8 Sep - 19 Oct
13 Monday 11:00 - 12:00 Jack Erskine 239
14 Jul - 24 Aug
8 Sep - 19 Oct
14 Monday 15:00 - 16:00 Psychology - Sociology 213
14 Jul - 24 Aug
8 Sep - 19 Oct
15 Monday 12:00 - 13:00 Jack Erskine 239
14 Jul - 24 Aug
8 Sep - 19 Oct
16 Monday 16:00 - 17:00 James Logie 105
14 Jul - 24 Aug
8 Sep - 19 Oct
17 Monday 17:00 - 18:00 James Logie 105
14 Jul - 24 Aug
8 Sep - 19 Oct
18 Tuesday 08:00 - 09:00 James Logie 105
14 Jul - 24 Aug
8 Sep - 19 Oct
19 Tuesday 09:00 - 10:00 Psychology - Sociology 213
14 Jul - 24 Aug
8 Sep - 19 Oct
20 Tuesday 12:00 - 13:00 Psychology - Sociology 213
14 Jul - 24 Aug
8 Sep - 19 Oct
21 Tuesday 11:00 - 12:00 Psychology - Sociology 213
14 Jul - 24 Aug
8 Sep - 19 Oct
22 Tuesday 15:00 - 16:00 Psychology - Sociology 213
14 Jul - 24 Aug
8 Sep - 19 Oct
23 Tuesday 13:00 - 14:00 Meremere 409
14 Jul - 24 Aug
8 Sep - 19 Oct
24 Wednesday 10:00 - 11:00 A7
14 Jul - 24 Aug
8 Sep - 19 Oct
25 Tuesday 16:00 - 17:00 Psychology - Sociology 213
14 Jul - 24 Aug
8 Sep - 19 Oct
26 Wednesday 13:00 - 14:00 Meremere 409
14 Jul - 24 Aug
8 Sep - 19 Oct
27 Wednesday 12:00 - 13:00 Psychology - Sociology 213
14 Jul - 24 Aug
8 Sep - 19 Oct
28 Wednesday 14:00 - 15:00 Psychology - Sociology 213
14 Jul - 24 Aug
8 Sep - 19 Oct
29 Thursday 08:00 - 09:00 James Logie 105
14 Jul - 24 Aug
8 Sep - 19 Oct
30 Wednesday 11:00 - 12:00 Meremere 409
14 Jul - 24 Aug
8 Sep - 19 Oct
31 Thursday 10:00 - 11:00 James Logie 105
14 Jul - 24 Aug
8 Sep - 19 Oct
32 Wednesday 17:00 - 18:00 James Logie 105
14 Jul - 24 Aug
8 Sep - 19 Oct
33 Wednesday 16:00 - 17:00 James Logie 105
14 Jul - 24 Aug
8 Sep - 19 Oct
34 Thursday 11:00 - 12:00 James Logie 105
14 Jul - 24 Aug
8 Sep - 19 Oct

Course Coordinator

Robert Culling

Lecturer

Charles Semple

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 $897.00

International fee $5,188.00

* 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 .

All MATH120 Occurrences