# MAT1841 - Continuous mathematics for computer 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

Clayton

• Second semester 2019 (On-campus)

Malaysia

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

Prerequisites

VCE Specialist Mathematics 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

ENG1090, MTH1020, MAT2003

## Synopsis

The unit covers linear algebra (vectors, equations of lines and planes, solutions of simultaneous equations, determinates, Gauss elimination, Gauss-Jordan method), calculus topics (differentiation, parametric differentiation, fundamental theorem of calculus, and numerical integration), an introduction to multivariable calculus (functions of several variables, partial derivatives, tangent planes and directional derivatives), and the construction of splines and Taylor series expansions are also covered.

## Outcomes

At the completion of this unit, students should be able to:

1. demonstrate basic knowledge and skills of linear algebra, including the manipulation of matrices, solution of linear systems, and evaluate and apply determinants;
2. explain fundamental concepts in calculus including basic differentiation and integration, and composite, inverse and parametric functions;
3. calculate approximations of functions with tangent lines, evaluate power series and construct Taylor series;
4. perform key skills in the calculus of functions of several variables including the calculation of partial derivatives, find tangent planes and identify stationary points.

## 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.

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