# MAT9004 - Mathematical foundations for data science - 2019

## 6 points, SCA Band 2, 0.125 EFTSL

Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.

Faculty

Information Technology

Chief examiner(s)

Unit guides

Offered

Caulfield

• First semester 2019 (On-campus)
• Second semester 2019 (On-campus)

Monash Online

• Teaching Period 1 2019 (Online)
• Teaching Period 4 2019 (Online)

Prerequisites

VCE Specialist Mathematics units 3 and 4 or Mathematical Methods units 3 and 4 with a study score of at least 25 or Further maths with a study score of at least 35.

Prohibitions

MAT1830, MAT1841, MAT2003

Notes

Monash Online offerings are only available to students enrolled in the Graduate Diploma in Data Science via Monash Online.

## Synopsis

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.

## Outcomes

Upon successful completion of this unit, students should be able to:

1. use trees and graphs to solve problems in computer science;
2. apply counting principles in combinatorics;
3. describe the principles of elementary probability theory, evaluate conditional probabilities and use Bayes' Theorem;
4. demonstrate basic knowledge and skills of linear algebra, including the manipulation of matrices, solution of linear systems, and evaluate and apply determinants;
5. explain fundamental concepts in calculus including basic differentiation and integration, and composite, inverse and parametric functions;
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.

## Assessment

NOTE: From 1 July 2019, the duration of all exams is changing to combine reading and writing time. The new exam duration for this unit is 3 hours and 10 minutes.

On-campus: Examination (3 hours): 60%; In-semester assessment: 40%

Monash Online: In-semester assessment: 100%

Minimum total expected workload equals 144 hours per semester comprising:

1. Contact hours for on-campus students:
• Three hours/week lectures
• One and half hours/week laboratories
2. Contact hours for Monash Online students:
• Two hours/week online group sessions

Online students generally do not attend lecture, tutorial and laboratory sessions, however should plan to spend equivalent time working through resources and participating in discussions.