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

Timetable 2022

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Tuesday 09:00 - 10:00 A1 Lecture Theatre
18 Jul - 28 Aug
12 Sep - 23 Oct
02 Tuesday 09:00 - 10:00 Live Stream Available
18 Jul - 28 Aug
12 Sep - 23 Oct
Lecture B
Activity Day Time Location Weeks
01 Wednesday 09:00 - 10:00 A1 Lecture Theatre
18 Jul - 28 Aug
12 Sep - 23 Oct
02 Wednesday 09:00 - 10:00 Live Stream Available
18 Jul - 28 Aug
12 Sep - 23 Oct
Lecture C
Activity Day Time Location Weeks
01 Thursday 09:00 - 10:00 A1 Lecture Theatre
18 Jul - 28 Aug
12 Sep - 23 Oct
02 Thursday 09:00 - 10:00 Live Stream Available
18 Jul - 28 Aug
12 Sep - 23 Oct
Lecture D
Activity Day Time Location Weeks
01 Friday 09:00 - 10:00 A1 Lecture Theatre
18 Jul - 28 Aug
12 Sep - 23 Oct
02 Friday 09:00 - 10:00 Live Stream Available
18 Jul - 28 Aug
12 Sep - 23 Oct
Tutorial A
Activity Day Time Location Weeks
01 Monday 15:00 - 16:00 Jack Erskine 235
25 Jul - 28 Aug
12 Sep - 23 Oct
02 Monday 16:00 - 17:00 Jack Erskine 446
25 Jul - 28 Aug
12 Sep - 23 Oct
03 Monday 16:00 - 17:00 Jack Erskine 235
25 Jul - 28 Aug
12 Sep - 23 Oct
04 Monday 17:00 - 18:00 Jack Erskine 244
25 Jul - 28 Aug
12 Sep - 23 Oct
05 Tuesday 08:00 - 09:00 Jack Erskine 446
25 Jul - 28 Aug
12 Sep - 23 Oct
06 Tuesday 08:00 - 09:00 Jack Erskine 244
25 Jul - 28 Aug
12 Sep - 23 Oct
07 Tuesday 11:00 - 12:00 Jack Erskine 244
25 Jul - 28 Aug
12 Sep - 23 Oct
08 Tuesday 11:00 - 12:00 Jack Erskine 241
25 Jul - 28 Aug
12 Sep - 23 Oct
09 Wednesday 10:00 - 11:00 Jack Erskine 235
25 Jul - 28 Aug
12 Sep - 23 Oct
10 Wednesday 10:00 - 11:00 Jack Erskine 240
25 Jul - 28 Aug
12 Sep - 23 Oct
11 Wednesday 14:00 - 15:00 Jack Erskine 242
25 Jul - 28 Aug
12 Sep - 23 Oct
12 Wednesday 17:00 - 18:00 Jack Erskine 244
25 Jul - 28 Aug
12 Sep - 23 Oct
13 Thursday 08:00 - 09:00 Jack Erskine 446
25 Jul - 28 Aug
12 Sep - 23 Oct
14 Thursday 11:00 - 12:00 Jack Erskine 240
25 Jul - 28 Aug
12 Sep - 23 Oct
15 Thursday 11:00 - 12:00 Jack Erskine 241
25 Jul - 28 Aug
12 Sep - 23 Oct
16 Thursday 15:00 - 16:00 Jack Erskine 239
25 Jul - 28 Aug
12 Sep - 23 Oct
17 Thursday 15:00 - 16:00 Jack Erskine 241
25 Jul - 28 Aug
12 Sep - 23 Oct
18 Tuesday 12:00 - 13:00 Jack Erskine 239
25 Jul - 28 Aug
12 Sep - 23 Oct
19 Tuesday 12:00 - 13:00 Jack Erskine 240
25 Jul - 28 Aug
12 Sep - 23 Oct
20 Tuesday 16:00 - 17:00 Jack Erskine 244
25 Jul - 28 Aug
12 Sep - 23 Oct
21 Tuesday 16:00 - 17:00 Jack Erskine 446
25 Jul - 28 Aug
12 Sep - 23 Oct
22 Wednesday 12:00 - 13:00 Jack Erskine 445
25 Jul - 28 Aug
12 Sep - 23 Oct
23 Wednesday 12:00 - 13:00 Jack Erskine 443
25 Jul - 28 Aug
12 Sep - 23 Oct
24 Thursday 12:00 - 13:00 Jack Erskine 235
25 Jul - 28 Aug
12 Sep - 23 Oct
25 Thursday 12:00 - 13:00 Jack Erskine 241
25 Jul - 28 Aug
12 Sep - 23 Oct
26 Thursday 16:00 - 17:00 Jack Erskine 239
25 Jul - 28 Aug
12 Sep - 23 Oct
27 Thursday 16:00 - 17:00 Jack Erskine 242
25 Jul - 28 Aug
12 Sep - 23 Oct
28 Wednesday 16:00 - 17:00 Jack Erskine 241
25 Jul - 28 Aug
12 Sep - 23 Oct
29 Wednesday 15:00 - 16:00 Jack Erskine 239
25 Jul - 28 Aug
12 Sep - 23 Oct
30 Wednesday 14:00 - 15:00 Jack Erskine 239
25 Jul - 28 Aug
12 Sep - 23 Oct

Examination and Formal Tests

Test A
Activity Day Time Location Weeks
01 Monday 18:30 - 19:30 C1 Lecture Theatre
22 Aug - 28 Aug
02 Monday 18:30 - 19:30 C2 Lecture Theatre
22 Aug - 28 Aug
03 Monday 18:30 - 19:30 C3 Lecture Theatre
22 Aug - 28 Aug
04 Monday 18:30 - 19:30 A1 Lecture Theatre
22 Aug - 28 Aug

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 .

All MATH120 Occurrences