UnitLevel 9Postgraduate

ITI9004 Mathematical foundations for data science and AI

Faculty of Information Technology

ITI9004 Mathematical foundations for data science and AI is a level 9, 6-credit-point, postgraduate unit from the Faculty of Information Technology. It isn't offered in 2023. It has no prerequisites and unlocks 1 unit, leading on to 4 units in all.

Credit points
6
Offered in 2023
Other periods
Indonesia
Assessment
No exam
3 tasks
Workload
144 hours
per semester

This is the 2023 handbook entry. See the 2027 entry.

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Requisites

Enrolment rules

This unit is only available to students enrolled at the Indonesia campus.

Equivalent units

The same content under another code. Only one of them counts.

Overview

Mathematical topics fundamental to computing and statistics including trees and other graphs, counting in combinatorics, principles of elementary probability theory, linear algebra, and fundamental concepts of calculus in one and several variables.

Offerings in 2023

Teaching periodCampusMode
Monash Indonesia term 3IndonesiaOn campus

Assessment

  • Assignment 1Assignment
    30%
  • Assignment 2Assignment
    30%
  • Assignment 3Assignment
    40%

Learning outcomes

When you finish this unit, you should be able to:

  1. 1

    Use trees and graphs to solve problems in computer science;

  2. 2

    Apply counting principles in combinatorics;

  3. 3

    Describe the principles of elementary probability theory, evaluate conditional probabilities and use Bayes' Theorem;

  4. 4

    Demonstrate basic knowledge and skills of linear algebra, including the manipulation of matrices, solution of linear systems, and evaluate and apply determinants;

  5. 5

    Explain fundamental concepts in calculus including basic differentiation and integration, and composite, inverse and parametric functions;

  6. 6

    Perform key skills in the calculus of functions of several variables including the calculation of partial derivatives, find tangent planes and identify stationary points, root findings and convexity for optimisation.

Workload and teaching

  • Applied sessions18 hours
  • Lectures36 hours
  • Teaching approachPeer assisted learning

Minimum total expected workload to achieve the learning outcomes for this unit is 144 hours per teaching period typically comprising a mixture of scheduled online and face to face learning activities and independent study. Independent study may include associated reading and preparation for scheduled activities. The unit requires on average three/four hours of scheduled activities per week. Scheduled activities may include a combination of teacher directed learning and online engagement.

Learning resources

Recommended resources

This unit covers many standard mathematical skills, so you'll find many useful resources online.

We recommend the following sections of Strang's "Calculus"

Functions: 1.1, 1.2
Single variable calculus: 1.3, 2.1, 2.2, 3.2, 5.1, 5.2, 6.2, 6.4
Linear algebra: 11.2, 11.4, 11.5, 16.1
Multivariable calculus: 13.1, 13.2, 13.4
Probability: 8.4
Graphs and combinatorics: 16.3

Contacts

Chief Examiners
Dr Gregory Markowsky

Common questions

What are the prerequisites for ITI9004?

ITI9004 has no prerequisites, but enrolment rules apply.

What can I take after ITI9004?

ITI9004 is a prerequisite or corequisite for 1 unit, including ITI5197. Those lead on to 4 units in all.

When is ITI9004 offered?

ITI9004 has no offerings listed in the 2023 handbook.

How much work is ITI9004?

The handbook expects about 144 hours of study across the semester. No students have rated its difficulty yet.

Does ITI9004 have an exam?

No. ITI9004 has 3 assessment tasks and no exam.

More details

Credit points
6
Level
9
Study level
Postgraduate
Faculty
Faculty of Information Technology
Type
Coursework
EFTSL
0.125
Student contribution
SCA Band 1
Study abroad
Not available
Handbook years
2021202220232024202520262027