## MT740 Advanced Calculus

## Unit Description

## Pre-requisites

MT560 Basic Calculus

## Co-requisites

None.

## Learning Outcomes

On successful completion of this unit, the student will be able to:

Determine solutions to differential equations using Chain Rule, Product Rule and Quotient Rule.

Calculate Integrals by First Principles, Integration of Polynomials, Integration by Substitution and Integrating Factors.

Identify, analyse and solve physics problems using differentiation and integration

Perform matrix calculations on 2-by-2, 3-by-3 and generalized n-by-n matrices including identifying the Identity Matrix, Scalar Multiplication of Matrices, Matrix Multiplication, calculating the Determinate of a Matrix, generating the Inverse of a Matrix and applying matrices to solutions of multiple systems using Gaussian Elimination to arrive at unique solutions or parametric solutions

Apply Vectors, Dot products and cross product calculations to the descriptions of mechanical, structural and dynamic systems.

## Unit Description

This unit builds on MT560 BAsic Calculus by expanding the types of operations performed and representations of physical reality including differentiation, integration, vectors and matrices.

## Topics

- Differentials: Chain Rule, Product Rule and Quotient Rule
- Integration by First Principles, Integration by Substitution and Integrating Factors
- Vector Mathematics
- Matrix Manipulation

## Unit offerings

**Face to face:**
Semester 1, 2022; Semester 1, 2023; Semester 1, 2024, and Semester 1, 2025

*(Every Year, Semester 1)*
### Please note

The Unit Offerings listed above are a guide only and the timetable for any year is the final authority.
The College may vary offerings based on demand, regulatory requirements, continual improvement processes or other conditions.

This unit may be available in different modes of delivery i.e. online and face-to-face as listed above.
The unit *content* will not differ between these modes of delivery. There will possibly be a difference
in the *schedule* and/or the prescribed *assessment tasks*, however both will cover and assess the same content.