# Course Title: Engineering Mathematics A

## Part A: Course Overview

**Course Title: **Engineering Mathematics A

**Credit Points: **12.00

## Course Code |
## Campus |
## Career |
## School |
## Learning Mode |
## Teaching Period(s) |

MATH2160 |
City Campus |
Undergraduate |
145H Mathematical & Geospatial Sciences |
Face-to-Face | Sem 1 2006, Sem 2 2006, Sem 1 2007, Sem 2 2007, Sem 1 2008, Sem 2 2008, Sem 1 2009, Sem 2 2009, Sem 1 2010, Sem 2 2010, Sem 1 2011, Sem 1 2012, Sem 2 2012, Sem 1 2013, Sem 1 2014, Sem 1 2015, Sem 1 2016 |

MATH2160 |
City Campus |
Undergraduate |
171H School of Science |
Face-to-Face | Sem 1 2017 |

**Course Coordinator: **Dr. John Gear

**Course Coordinator Phone: **+61 3 9925 2589

**Course Coordinator Email: **john.gear@rmit.edu.au

**Course Coordinator Location: **8.9.21

**Pre-requisite Courses and Assumed Knowledge and Capabilities**

To successfully complete this course you should have capabilities consistent with the completion of VCE Mathematical Methods at Year 12 level. If VCE Mathematical Methods at Year 12 level has not been completed additional support will be provided.

**Assumed Knowledge:**

You are expected to be able to correctly perform basic algebraic and arithmetic operations; solve quadratic and other algebraic equations; solve simultaneous linear equations; apply the concepts of function and inverse of a function; recognise the properties of common elementary functions such as polynomials, exponential functions, logarithmic functions and trigonometric functions; sketch the common elementary functions; solve mathematical problems involving functions; find the derivative of elementary functions from first principles and combinations of elementary functions using the product, quotient and chain rules; find the anti-derivative (integral) of elementary functions; use integral calculus to determine the area under a curve and between two curves.

**Course Description**

This course aims to provide a broad introduction to the fundamental mathematical theories and applications of differential calculus, complex variables, integral calculus and matrices and system of linear equations needed by electrical, electronic, communications and computer systems engineers. The course builds on the foundations laid in secondary school mathematics and in turn aims to lay the foundation for more advanced mathematics courses that follow. Topic areas include Differential Calculus; Introduction to MATLAB; Complex Variables; Integral Calculus and Matrices; and Systems of Linear Equations.

**Objectives/Learning Outcomes/Capability Development**

This course contributes to the following Program Learning Outcomes for BH075 Bachelor of Engineering (Electrical Engineering) (Honours); BH073 Bachelor Of Engineering (Electrical and Electronic Engineering) (Honours); and BH072 Bachelor Of Engineering (Computer and Network Engineering) (Honours):

Conceptual understanding of the, mathematics, numerical analysis, statistics, and computer and information sciences which underpin the engineering discipline

On completion of this course you should be able to:

- Apply core mathematical skills such as arithmetic, algebraic manipulation, elementary geometry and trigonometry to a range of problems;
- Formulate and solve problems using techniques of integral and differential calculus;
- Recognise the properties of the common mathematical functions (polynomials, exponentials and hyperbolic functions, logarithms and inverse trigonometric functions) and their combinations commonly found in engineering applications;
- 4. Recognise the properties of complex numbers; apply complex numbers to the solution of algebraic equations; and solve equations involving complex functions;
- Identify and classify different forms of ordinary and partial differential equations; and
- Use matrix algebra and the mathematical package MATLAB to solve a system of linear equations.

On completion of this course you should be able to:

- Apply core mathematical skills such as arithmetic, algebraic manipulation, elementary geometry and trigonometry to a range of problems;
- Formulate and solve problems using techniques of integral and differential calculus;
- Recognise the properties of the common mathematical functions (polynomials, exponentials and hyperbolic functions, logarithms and inverse trigonometric functions) and their combinations commonly found in engineering applications;
- Recognise the properties of complex numbers; apply complex numbers to the solution of algebraic equations; and solve equations involving complex functions;
- Identify and classify different forms of ordinary and partial differential equations; and
- Use matrix algebra and the mathematical package MATLAB to solve a system of linear equations.

**Overview of Learning Activities**

This course is presented using a mixture of classroom instruction; problem-based tutorial classes; exercises; WebLearn quizzes and tests.

Primarily you will be learning in face-to-face lecture where key concepts and their application will be explained and illustrated. Supervised problem-based practice classes will build your capacity to solve problems and to think critically and analytically. You will receive feedback on your academic progress.

Online (WebLearn) tests will consolidate your basic skills, e.g. in algebra and trigonometry, and help you identify and rectify gaps in your basic knowledge of the topics presented in class. The WebLearn quizzes are provided for formative assessment purposes. They are marked immediately upon submission and should be attempted as many times as necessary to become proficient in mastering the content and syntax required. Please take notice of the content of the WebLearn bulletin that is displayed each time you go to the WebLearn site. Only when you have successfully mastered the content in the quiz should you attempt the corresponding WebLearn test which is for summative assessment purposes. Homework problems set from the textbook and self-help tutorial questions will provide a focus for your private study.

**Overview of Learning Resources**

A prescribed textbook will be nominated.

You will be able to access course information and learning materials through RMIT’s online systems. These give access to important announcements, staff contact details, the teaching schedule, online notes, tests and quizzes, self-help exercises and sample exam questions. You can access the course website through myRMIT studies.

You are advised to read your student e-mail account daily for important announcements. You should also visit myRMIT studies at least once a day for important announcements regarding the course and all course-related documents.

A Library Guide is available at http://rmit.libguides.com/mathstats
**Overview of Assessment**

**Assessment Tasks: **

** **

**Early assessment task: Maths Ready Diagnostic Quiz. Weighting 3%**

This assessment supports CLOs 1, 2, 3, 4, 5 & 6.

The Maths Ready Quiz gives you important feedback on the maths skills required to be successful in your maths course.

The quiz is graded on participation. All students who finish the quiz will receive 3% towards their final mark regardless of their score. The quiz must be completed by the end of Week 2.

** **

**Assessment Task 2: Tests**

**Weighting 47% **

This assessment supports CLOs 1, 2, 3, 4, 5 & 6.**
**Ten on-line (WebLearn) tests completed in your own time during Weeks 3 to 13.

**Assessment Task 3: Final Examination:**

**Weighting 50%**

Three hour examination.

This assessment supports CLOs 1, 2, 3, 4, 5 & 6.

All material presented in the course is examinable.