# Course Title: Mathematics and Statics

## Part A: Course Overview

Course Title: Mathematics and Statics

Credit Points: 12.00

## Terms

### Teaching Period(s)

MATH2129

City Campus

145H Mathematical & Geospatial Sciences

Face-to-Face

Sem 2 2006,
Sem 2 2007,
Sem 2 2008,
Sem 2 2009,
Sem 2 2010,
Sem 2 2011,
Sem 2 2012,
Sem 2 2013,
Sem 2 2014,
Sem 2 2015,
Sem 2 2016

MATH2129

City Campus

171H School of Science

Face-to-Face

Sem 2 2017,
Sem 2 2018,
Sem 2 2019,
Sem 2 2020

Course Coordinator: Dr Ian Grundy & Prof Margaret Jollands

Course Coordinator Phone: +61 3 9925 3220 / 9925 2089

Course Coordinator Email: ian.grundy@rmit.edu.au / margaret.jollands@rmit.edu.au

Course Coordinator Location: Room 8.9.27 / Room 12.7.16B

Course Coordinator Availability: by appointment (e-mail preferred)

Pre-requisite Courses and Assumed Knowledge and Capabilities

To successfully complete this course, you are expected to have capabilities consistent with the completion of VCE Mathematical Methods at Year 12 level. That is, you are expected to be able to correctly perform basic algebraic and arithmetic operations; solve quadratic and other algebraic equations; solve simultaneous linear equations; recognise and apply the concepts of function and inverse of a function; recognise the properties of common elementary functions (e.g. polynomials 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. Prior completion of Engineering Mathematics B or equivalent, while not essential, would be an advantage.

Course Description

This course consists of two components which run concurrently throughout the semester.

The mathematics component aims to provide a broad introduction to the fundamental mathematical procedures (solution of linear equations, approximation of functions) and mathematical objects (vectors, complex numbers, matrices and power series) needed by chemical engineers in areas such as reaction engineering, process principles and also in the statics component of this course.

Chemical engineers need to understand the fundamentals of plant design from a structural point of view. The statics component of this course examines the types of simple structures that a chemical engineer will meet in a process plant. The dynamics component covers the concepts of velocity, acceleration, energy and momentum needed to understand fluid flow in a process plant.

Topic areas include a review of vectors with application to statics, complex numbers, matrices, infinite series; introductory dynamics: one-dimensional motion, Newton’s laws, momentum, force, work, energy & power; introductory statics in 2D: forces and moments, free body diagrams, equilibrium, structures, beams, shear and bending moments, stresses and strains, mechanical properties of materials.

Objectives/Learning Outcomes/Capability Development

This course contributes to the following Program Learning Outcome in various engineering programs including:

BH079 Bachelor of Engineering (Chemical Engineering) (Honours)

BH080 Bachelor of Engineering (Environmental Engineering) (Honours)

BH085 Bachelor of Engineering (Chemical Engineering) (Honours) / Bachelor of Business (Management)

BH098  Bachelor of Science (Applied Chemistry) / Bachelor of Engineering (Chemical Engineering) (Honours)

BH099 Bachelor of Science (Food Technology & Nutrition) / Bachelor of Engineering (Chemical Engineering) (Honours)

BH087 - Bachelor of Engineering (Chemical Engineering) / (Honours)/Bachelor of Science (Biotechnology)

BH096 Bachelor of Environmental Science/Bachelor of Engineering (Environmental Engineering) (Honours)

BH095 Bachelor of Engineering (Chemical Engineering)/Bachelor of Pharmaceutical Science)

Knowledge and Skill Base:

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

On completion of this course you should be able to:

1. Apply the core mathematical skills such as arithmetic, algebraic manipulation, elementary geometry and trigonometry to a range of problems;
2. Recognise the properties of vectors and matrices and apply the techniques of vector and matrix analysis to problems involving three-dimensional geometry, motion and transformations in three-dimensional space;
3. Demonstrate the properties of complex numbers and apply complex numbers to the solution of algebraic equations;
4. Elaborate some fundamental dynamics concepts; in particular kinematics, Newton’s Laws and energy;
5. Practise the skills necessary to design pressure vessels and estimate stresses and strains in structures found in real plants.
6. Interpret and report on the results obtained.

Overview of Learning Activities

Key concepts and their application will be explained and illustrated (with many examples) in lectures and in online notes. Supervised problem-based practice classes will build your capacity to solve problems, encourage you to think critically and analytically and provide feedback on your understanding and academic progress. Online tests and quizzes will consolidate your basic skills, e.g. in algebra and trigonometry and basic knowledge of the topics presented in class. Homework problems set from the textbook and self-help tutorial questions will provide a focus for your private study.

The assessment for this course includes the completion of weekly laboratory work, two assignments and two closed book tests. Feedback on your laboratory and assignment work will be provided to you during the semester.

Overview of Learning Resources

You will be able to access course information and learning materials through myRMIT Studies (Canvas). myRMIT Studies will give access to important announcements, a discussion forum, staff contact details, the teaching schedule, online notes, tests and quizzes, self-help exercises and past exam papers. 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 course-related documents.

A library guide is available at http://rmit.libguides.com/mathstats

Overview of Assessment

Note that:

☒This course has no hurdle requirements.

Early Assessment Task 1 :  Maths Practice Class 1

Weighting 1% (approx.)

Note: The practice classes are completed fortnightly.

This assessment task supports CLOs 1, 3 & 6

Early Assessment Task 2 :  Maths WebLearn Test  1

Weighting 1% (approx.)

Note: The practice classes are completed fortnightly.

This assessment task supports CLOs 1 & 3

Early Assessment Task 3 :  Statics WebLearn Tests 1 - 4

Weighting 3% (approx.)

Note: The WebLearn tests are completed weekly.

This assessment task supports CLO 4

Assessment Task 4:  Maths Practice Classes 2 - 5

Weighting 4%

Note: The practice classes are completed fortnightly.

This assessment task supports CLOs 1, 2, 3 & 6

Assessment Task 5 :  Maths WebLearn Tests  2 - 5

Weighting 4% (approx.)

Note: The WebLearn tests are (roughly) completed fortnightly.

This assessment task supports CLOs 1, 2, & 3

Assessment Task 6 :  Statics WebLearn Tests 5 - 12

Weighting 7% (approx.)

Note: The WebLearn tests are completed weekly..

This assessment task supports CLOs 4 & 5

Assessment Task 7:  Maths Mid-Semester Test

Weighting 15%

Note: Closed book under exam conditions, Week 5

This assessment task supports CLOs 1, 3 & 6

Assessment Task 8:  Statics Mid-Semester Test

Weighting 15%

Note: Closed book under exam conditions, Week 6

This assessment task supports CLOs 4 & 6