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MAT1830 Discrete mathematics for computer science - Semester 1, 2013

Topics fundamental to mathematics and computing including elementary number theory, sets, relations and functions; methods of logic and proof, especially proof by induction; recurrence relations and difference equations; trees and other graphs.

Mode of Delivery

  • Clayton (Day)
  • Sunway (Day)

Contact Hours

3 hrs lectures/wk, 1 hr tutorial/wk

Workload requirements

You are expected to spend 12 hours per week on various activities including reading, communication with other students and unit lecturers, and preparation for learning tasks and formal assessments.

Unit Relationships

Prohibitions

MAT1077, MTH1112

Chief Examiner

Campus Lecturer

Clayton

Dr Daniel Horsley

Dr Heiko Dietrich

Sunway

Dr Lee-Kien Foo

Academic Overview

Learning Outcomes

At the completion of this unit students will:
  • have an understanding of sets, relations and functions and associated concepts and their uses in mathematics and computer science;
  • be able to use basic methods of proof, particularly induction, to solve problems in graph theory, combinatorics and number theory;
  • become familiar with simple first and second order recurrence relations;
  • will understand the basic concepts and algorithms of number theory, such as the euclidean algorithm and its role in investigating divisors and primes.

Unit Schedule

Week Activities Assessment
0   No formal assessment or activities are undertaken in week 0
1 Arithmetic None
2 Logic None
3 Logic + Induction Assessed coursework
4 Sets Assessed coursework
5 Functions Assessed coursework
6 Relations Assessed coursework
7 Recursion Assessed coursework
8 Recurrence Relations Assessed coursework
9 Graphs Assessed coursework
10 Trees, Colourings Assessed coursework
11 Congruences Assessed coursework
12 Cryptosystems Assessed coursework
  SWOT VAC No formal assessment is undertaken in SWOT VAC
  Examination period LINK to Assessment Policy: http://policy.monash.edu.au/policy-bank/
academic/education/assessment/
assessment-in-coursework-policy.html

*Unit Schedule details will be maintained and communicated to you via your learning system.

Assessment Summary

Examination (3 hours): 70%; In-semester assessment: 30%

Assessment Task Value Due Date
Assessed coursework x 10 30% total (3% each) Each week (from Week 3 to Week 12)
Examination 1 70% To be advised

Teaching Approach

This teaching and learning approach provides facilitated learning, practical exploration and peer learning.

Assessment Requirements

Assessment Policy

Faculty Policy - Unit Assessment Hurdles (http://www.infotech.monash.edu.au/resources/staff/edgov/policies/assessment-examinations/unit-assessment-hurdles.html)

Academic Integrity - Please see the Demystifying Citing and Referencing tutorial at http://lib.monash.edu/tutorials/citing/

Assessment Tasks

Participation

  • Assessment task 1
    Title:
    Assessed coursework x 10
    Description:
    There are ten assessed coursework assignments to be completed, one due per week from Week 3 to Week 12.
    Weighting:
    30% total (3% each)
    Criteria for assessment:

    Marks awarded both for the correctness of the answer, and for the clarity of the explanation.

    Hurdle requirements:
    Note that, in accordance with Faculty of Information Technology policy, you must receive a mark of 40% or more for the assessed coursework to pass the unit. If your total mark for the unit is 50% or more but your mark for the assessed coursework is less than 40%, then you will receive a mark of 49-N for the unit.
    Due date:
    Each week (from Week 3 to Week 12)

Examinations

  • Examination 1
    Weighting:
    70%
    Length:
    3 hours
    Type (open/closed book):
    Closed book
    Hurdle requirements:
    Note that, in accordance with Faculty of Information Technology policy, you must receive a mark of 40% or more for the exam to pass the unit. If your total mark for the unit is 50% or more but your mark for the exam is less than 40%, then you will receive a mark of 49-N for the unit.
    Electronic devices allowed in the exam:
    None

Learning resources

Monash Library Unit Reading List
http://readinglists.lib.monash.edu/index.html

Feedback to you

Types of feedback you can expect to receive in this unit are:
  • Informal feedback on progress in labs/tutes
  • Graded assignments with comments
  • Solutions to tutes, labs and assignments

Extensions and penalties

Returning assignments

Assignment submission

It is a University requirement (http://www.policy.monash.edu/policy-bank/academic/education/conduct/plagiarism-procedures.html) for students to submit an assignment coversheet for each assessment item. Faculty Assignment coversheets can be found at http://www.infotech.monash.edu.au/resources/student/forms/. Please check with your Lecturer on the submission method for your assignment coversheet (e.g. attach a file to the online assignment submission, hand-in a hard copy, or use an online quiz).

Online submission

If electronic submission has been approved for your unit, please submit your work via the learning system for this unit, which you can access via links in the my.monash portal.

Recommended Resources

The following textbooks are available at the library and may prove useful if you want additional resources beyond the course notes.  It is not recommended that you buy them unless you find that you need your own copy.

"Discrete Mathematics" by Richard Johnsonbaugh.

"Discrete Mathematics for Computing" by Peter Grossman.

Other Information

Policies

Graduate Attributes Policy

Student services

Monash University Library

Disability Liaison Unit

Students who have a disability or medical condition are welcome to contact the Disability Liaison Unit to discuss academic support services. Disability Liaison Officers (DLOs) visit all Victorian campuses on a regular basis.

Your feedback to Us

Previous Student Evaluations of this Unit

Previous feedback on this unit has indicated that many students find the assignments and tutorial exercises to be valuable.

Student feedback has also informed the decision to make recordings of the lectures available online this semester.

If you wish to view how previous students rated this unit, please go to
https://emuapps.monash.edu.au/unitevaluations/index.jsp

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