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MAT2003 Continuous mathematics for computer science - Semester 2, 2013

Linear algebra: vectors and matrices, Matrix algebra with applications to flow problems and Markov chains; matrix inversion methods. Probability and combinatorics: elementary probability theory, random variables, probability distributions, expected value; counting arguments in combinatorics; statistics. Calculus: Differation and partial differentiation; constructing Taylor series expansions.

Mode of Delivery

  • Clayton (Day)
  • Sunway (Day)

Contact Hours

3 hrs lectures/wk, 1 hr laboratory/wk

Workload requirements

Students will be expected to spend a total of 12 hours per week during semester on this unit as follows:

Lectures: 3 hours per week
Lab Sessions: 1 hour per week

and up to an additional 8 hours in some weeks for completing lab and project work, private study and revision.

Unit Relationships

Prohibitions

ENG1091, MAT1841, MTH1030

Chief Examiner

Campus Lecturer

Clayton

Tom Hall

Consultation hours: Tuesday 2:00 to 4:00

Sunway

Dr Yap Yee Jiun

Consultation hours: Tuesday 2:00 to 4:00

Mr Nader Kamrani (Week 1 only)

Academic Overview

Learning Outcomes

At the completion of this unit students will have:
  • knowledge of linear algebra, elementary probability theory, statistics and elementary calculus;
  • an understanding of the basics of linear algebra, the principles of probability and experimental design, counting principles in combinatorics, and the fundamentals of calculus;
  • skills to do counting arguments with combinatorial objects, use Bayes' Theorem, manipulate matrices, differentiate functions of several variables and construct Taylor series for functions.

Unit Schedule

Week Activities Assessment
0   No formal assessment or activities are undertaken in week 0
1 COMBINATORICS Selections and arrangements, Pascal's Triangle  
2 Partitions, combinatorial identities, inclusion and exclusion, pigeonhole principle  
3 PROBABILITY Elementary theory, Bayesian analysis, random variables  
4 Mean and standard deviation, binomial distribution, normal distribution, t-distribution  
5 LINEAR ALGEBRA Systems of linear equations, Gaussian elimination Assignment 1 due
6 Homogeneous systems, application to network flow, matrix algebra  
7 Application to Markov Chains  
8 Matrix inverses, determinants, application to coding Assignment 2 due
9 CALCULUS Differentiation  
10 Parametric differation, higher derivatives, power series and Taylor polynomials  
11 Functons of several variables, partial differentiation Assignment 3 due
12 Tangent planes and linear approximations, higher partial derivatives, Taylor polynomial of degree 2 (quadratic appoximation)  
  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
Assignment 1 10% Week 5
Assignment 2 10% Week 8
Assignment 3 10% Week 11
Examination 1 70% To be advised

Teaching Approach

Lecture and tutorials or problem classes
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:
    Assignment 1
    Description:
    Answer questions on combinatorics, showing all working and clearly showing all steps.
    Weighting:
    10%
    Criteria for assessment:
    • Assignments are judged on correctness of the answers   and
    • Valid calculations and mathematical arguments to obtain those answers.
    Due date:
    Week 5
  • Assessment task 2
    Title:
    Assignment 2
    Description:
    Answer questions on linear algebra, showing all working and clearly showing all steps.
    Weighting:
    10%
    Criteria for assessment:
    • Assignments are judged on correctness of the answers   and
    • Valid calculations and mathematical arguments to obtain those answers.
    Due date:
    Week 8
  • Assessment task 3
    Title:
    Assignment 3
    Description:
    Answer questions on differentiation of functions, showing all working and clearly showing all steps.
    Weighting:
    10%
    Criteria for assessment:
    • Assignments are judged on correctness of the answers   and 
    • Valid calculations and mathematical arguments to obtain those answers.
    Due date:
    Week 11

Examinations

  • Examination 1
    Weighting:
    70%
    Length:
    3 hours
    Type (open/closed book):
    Closed book
    Electronic devices allowed in the exam:
    No calculators or other electronic devices are allowed in the exam. Students will not be disadvantaged by not having a calculator. Where a calculation would be needed, the expression to be evaluated can be written and left without evaluation, and marks will not be reduced for no evaluation.

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:
  • Graded assignments with comments
  • Graded assignments without comments

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). Please note that it is your responsibility to retain copies of your assessments.

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.

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 has shown satisfaction with this unit, and has not suggested that improvements are needed.

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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