# Course Title: Calculus and Analysis 2

## Part A: Course Overview

Course Title: Calculus and Analysis 2

Credit Points: 12.00

## Terms

### Teaching Period(s)

MATH1143

Bundoora Campus

145H Mathematical & Geospatial Sciences

Face-to-Face

Sem 2 2007,
Sem 2 2008,
Sem 2 2009

MATH1144

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,
Spring2016

MATH1144

City Campus

171H School of Science

Face-to-Face

Sem 2 2017,
Sem 2 2018

Course Coordinator: Professor Andrew Eberhard

Course Coordinator Phone: +61 3 9925 2616

Course Coordinator Email: andy.eb@rmit.edu.au

Course Coordinator Location: 8.9.12

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

Course Description

This course aims to complement knowledge, skills and their application studied in MATH1142 Calculus and Analysis 1. It provides a broad introduction to a further selection of the fundamental mathematical procedures (multi-variable differentiation and integration) and mathematical objects (vectors, vector-valued functions, matrices, series) needed by mathematicians and most applied scientists. The course builds on the foundations laid in secondary school mathematics and in turn extends those foundations to accommodate more advanced studies in mathematics undertaken in the following semester and beyond. Topic areas include vectors, matrices, infinite series, power series, vector-valued functions and functions of several variables.

Objectives/Learning Outcomes/Capability Development

On successful completion of this course you should be able to:

1) Apply core mathematical skills such as arithmetic, algebraic manipulation, elementary geometry and trigonometry to an increasing range of problems;
2) Utilise techniques of integral and differential calculus to formulate and solve problems involving change and approximation, with particular emphasis on problems with more than one variable and problems involving motion along a curve;
3) Recognise the properties of vectors and matrices and apply the techniques of vector and matrix analysis to problems involving three-dimensional geometry and transformations in three-dimensional space;
4) Identify the basic properties of infinite series and apply power series to problems involving approximation of functions.

This course contributes to the following Program Learning Outcomes for BP083 Bachelor of Science (Mathematics); BP245 Bachelor of Science(Statistics); and BH119 Bachelor of Analytics (Honours):

• theoretical knowledge: you will develop your knowledge of differential and integral calculus, elementary functions, vectors, matrices, series and differential equations.
• technical ability: with its emphasis on problem solving, this course will prepare you to be able to analyse the physical world in a systematic manner.
• critical analysis and problem solving: you will be afforded opportunities to mathematically formulate and solve problems creatively, especially those in which a description of the problem is given in words only.
• communication: your capabilities will be improved through regular feedback on your written work.

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 and to think critically and analytically, and give you feedback on your understanding and academic progress. Homework will consolidate your basic skills, e.g. in algebra and trigonometry, and gaps in your basic knowledge of the topics presented in class. Exercise problems set from the textbook and self-help tutorial questions will provide a focus for your private study.

Four hours per week face-to-face.   An additional six hours per week of independent study is expected.

Overview of Learning Resources

This course will be supported online through myRMIT and will give you access to important announcements, a discussion forum, staff contact details, the teaching schedule, online notes, assessment timelines, review exercises and past exam papers. We encourage you to read your student e-mail and visit myRMIT frequently. Important announcements regarding your study will be made there and important documents relating to the course are also available.
A library subject guide is available at: http://rmit.libguides.com/mathstats

Overview of Assessment

Your assessment will consist of assessed practice classes and a formal  examination.

☑This course has no hurdle requirements.