MATHS135-19A (HAM)

Discrete Structures

15 Points

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Division of Health Engineering Computing & Science
School of Computing and Mathematical Sciences
Department of Mathematics and Statistics

Staff

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Convenor(s)

Nicholas Cavenagh

Nicholas Cavenagh
8329
G.3.25
To be advised
nicholas.cavenagh@waikato.ac.nz

Lecturer(s)

Nicholas Cavenagh

Nicholas Cavenagh
8329
G.3.25
To be advised
nicholas.cavenagh@waikato.ac.nz

Administrator(s)

: rachael.foote@waikato.ac.nz

Placement Coordinator(s)

Tutor(s)

Student Representative(s)

Lab Technician(s)

Librarian(s)

: debby.dada@waikato.ac.nz

You can contact staff by:

  • Calling +64 7 838 4466 select option 1, then enter the extension.
  • Extensions starting with 4, 5, 9 or 3 can also be direct dialled:
    • For extensions starting with 4: dial +64 7 838 extension.
    • For extensions starting with 5: dial +64 7 858 extension.
    • For extensions starting with 9: dial +64 7 837 extension.
    • For extensions starting with 3: dial +64 7 2620 + the last 3 digits of the extension e.g. 3123 = +64 7 262 0123.
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Paper Description

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An introduction to a number of the structures of discrete mathematics with wide applicability in areas such as: computer logic, analysis of algorithms, telecommunications, networks and public key cryptography. In addition it introduces a number of fundamental concepts which are useful in Statistics, Computer Science and further studies in Mathematics. Topics covered are: sets, binary relations, directed and undirected graphs; propositional and some predicate logic; permutations, combinations, and elementary probability theory; modular arithmetic.

Students have until the sixth Friday from Mon 25th February to determine if they wish to change down to a less difficult Mathematics paper (subject to lecturer’s approval) without any fees loss. It is recommended such a change be done as soon as possible.

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Paper Structure

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Three lectures and one 50-minute tutorial per week.
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Learning Outcomes

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Students who successfully complete the course should be able to:

  • 1.Demonstrate understanding of the basic notions of sets, functions, and binary relations defined on sets (especially partial orders and equivalence relations).
    Linked to the following assessments:
  • 2. Demonstrate understanding of the concepts of directed and undirected graphs and some of their applications.
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  • 3. Understand and produce logical formulae, and to determine the validity of simple such formulae.
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  • 4. Demonstrate understanding of basic combinatorial concepts such as permutations and combinations, and methods of counting, and ability to apply them.
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  • 5. Demonstrate understanding of basic ideas of probability.
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  • 6. Demonstrate understanding of basic concepts of modular arithmetic and some of their applications.
    Linked to the following assessments:
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Assessment

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The assessment will consist of TWO Tests (worth a total of 34%) as follows:

DATE: Thursday April 4th 6.00–8.00pm (PWC & L.G.01) (17%)

DATE: Tuesday May 21st 6.00–8.00pm (PWC & L.G.01) (17%)

The TOTAL assignment component is worth 16% and the Final Exam worth 50%. There will be 10 assignments of which only the best 8 marks will be counted.

Please ensure you always take your ID CARD to tests – if you do not, your test script and mark will be with-held until you present this to the Maths Reception Office (G.3.19) the following day. There will be NO test resits.

An UNRESTRICTED pass (i.e. C- or better) will only be awarded to students who achieve both a final overall mark of at least 50% and a Final Exam mark of at least 40%. A final overall grade of RP (Restricted pass) will not be accepted as a prerequisite for entry into any higher level Maths paper.

COPYING of other students’ Assignments/Tests will receive zero (this will include all students involved) and be reported to the Disciplinary Committee.
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Assessment Components

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The internal assessment/exam ratio (as stated in the University Calendar) is 50:50. There is no final exam. The final exam makes up 50% of the overall mark.

The internal assessment/exam ratio (as stated in the University Calendar) is 50:50 or 0:0, whichever is more favourable for the student. The final exam makes up either 50% or 0% of the overall mark.

Component DescriptionDue Date TimePercentage of overall markSubmission MethodCompulsory
1. 10 x Assignments (only the best 8 out of 10 marks count)
11 Mar 2019
10:00 AM
16
2. Test 1
4 Apr 2019
6:00 PM
17
3. Test 2
21 May 2019
6:00 PM
17
4. Exam
50
✔
Assessment Total:     100    
Failing to complete a compulsory assessment component of a paper will result in an IC grade
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Required and Recommended Readings

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Required Readings

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There are no required readings.
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Recommended Readings

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Sources for extra questions and practice can be provided by the lecturers.
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Online Support

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All information relating to this paper including your internal assessment marks will be posted on Moodle.
It is your responsibility to check your marks are correctly entered.
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Workload

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Three lectures and one tutorial per week. PLUS, you are expected to spend about another 5 hours per week doing work for the paper (reading, assignments, study,...)
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Linkages to Other Papers

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Prerequisite(s)

Prerequisite papers: At least one of MATHS165, MATHS166, MATH165, MATH166, or 16 credits in NCEA Level 3 Mathematics.

Corequisite(s)

Equivalent(s)

Restriction(s)

Restricted papers: COMP235, MATH258

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