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ITI9004 Mathematical foundations for data science

Chief Examiner

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Unit Code, Name, Abbreviation

ITI9004 Mathematical foundations for data science (04 Sep 2020, 3:18pm) [MATH FOUNDATIONS DATA SCI (04 Sep 2020, 3:18pm)]

Reasons for Introduction

Reasons for Introduction (04 Sep 2020, 3:26pm)

This unit is a duplicate unit of MAT9004. The ITIxxxx units have been created for the Monash Indonesia offering of the Master of Data Science due to the different teaching mode.

Objectives

Objectives (04 Sep 2020, 3:19pm)

On successful completion of this unit, you 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.

Unit Content

ASCED Discipline Group Classification (04 Sep 2020, 3:19pm)

010101

Synopsis (04 Sep 2020, 3:20pm)

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.

Teaching Methods

Mode (04 Sep 2020, 3:20pm)

On-campus

Assessment

Assessment Summary (04 Sep 2020, 3:20pm)

Examination (3 hours and 10 minutes): 60%; In-semester assessment: 40%

Workloads

Workload Requirements (04 Sep 2020, 3:24pm)

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 applied class.
  2. Additional requirements:
    • A minimum of 7.5 hours per week of personal study for completing lab/tutorial activities, assignments, private study and revision, and for online students, participating in discussions.

Resource Requirements

Prerequisites

Prohibitions (04 Sep 2020, 3:25pm)

MAT9004, MAT1830, MAT1841, MAT2003

Location of Offering (04 Sep 2020, 3:25pm)

Indonesia

Faculty Information

Proposer

Jeanette Niehus

Approvals

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Version History

04 Sep 2020 Jeanette Niehus Admin: New unit for Indonesia, this is a copy of MAT9004 content.

This version: