Course Title: Numerical Methods/Statistics for Engineers
Part A: Course Overview
Course Title: Numerical Methods/Statistics for Engineers
Credit Points: 12.00
145H Mathematical & Geospatial Sciences
|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
171H School of Science
|Sem 2 2017,
Sem 2 2018,
Sem 2 2019,
Sem 2 2020
Course Coordinator: Dr Yan Ding
Course Coordinator Phone: 03 9925 3217
Course Coordinator Email: firstname.lastname@example.org
Course Coordinator Location: 015.03 City campus
Course Coordinator Availability: By appointment, by email
Pre-requisite Courses and Assumed Knowledge and Capabilities
Required Prior Study
MATH2113 Differential Equations for Engineers.
Or equivalent first year university mathematics courses.
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.
Numerical Methods/Statistics for Engineers is a single semester course consisting of two main components: Numerical Methods and Statistics. The course content has been selected, in consultation with the discipline of Chemical and Civil Engineering, to provide the necessary mathematical training that will assist and expand your learning experience.
The topics covered in the numerical methods component include solutions of nonlinear equations, ordinary differential equations and systems of differential equations, simultaneous linear equations, eigenvalues and eigenvectors and linear least-squares.
Topics covered in the statistical component include descriptive statistics, inferential statistics, linear regression and correlation.
Objectives/Learning Outcomes/Capability Development
This course contributes to Program Learning Outcomes for
- BH077 - Bachelor of Engineering (Civil and Infrastructure) (Honours)
- BH079 - Bachelor of Engineering (Chemical Engineering) (Honours)
- BH085 - Bachelor of Engineering (Chemical Engineering) (Honours) / Bachelor of Business (Management)
- BH088 - Bachelor of Engineering (Civil and Infrastructure) (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)
Knowledge and Skill Base:
1.2 Conceptual understanding of mathematics, numerical analysis, statistics, computer and information sciences which underpin the engineering discipline
On successful completion of this course, you should be able to:
- Solve large systems of simultaneous linear equations. Find eigenvalues and eigenvectors of a matrix. Use the least-squares method to obtain a function for data analysis.
- Find solutions of non-linear equations using bisection method, Newton’s methods and secant method and implement using a computer.
- Estimate the solutions of systems of first order ordinary differential equations or higher order ordinary differential equations using various numerical methods and implement using a computer.
- Construct graphical displays of science/engineering data and interpret the role of such displays in data analysis.
- Apply basic statistical inference techniques, including confidence intervals, hypothesis testing and analysis of variance, to science/engineering problems.
- Employ appropriate regression models to determine statistical relationships.
Overview of Learning Activities
This course is presented using a mixture of lectures; problem-based tutorial practice; On-line quizzes and On-line tests, and problem-based computer laboratory assignments.Primarily you will learn in face-to-face lectures. An online course site will be used to disseminate course materials, to provide access to online On-line quizzes and online On-line tests for self-assessment and to submit the problem-based computer laboratory assignments.
Key concepts and their applications will be explained and illustrated with many examples in lectures. The problem-based weekly tutorial practices/computer labs will build your capacity to solve problems and to think analytically and critically. The mathematical and statistical theories and applications will also be reinforced through the online On-line quizzes and On-line tests. On-line quizzes are designed to provide instant feedback and can be attempted as many times as you like until proficiency in the learning objectives is achieved before you attempt the corresponding On-line tests. The computer laboratory sessions are designed to assist students in applying statistical methods using software packages, such as Microsoft Excel or Minitab for performing the basic statistical analysis of data collected from a broad range of sciences and engineering fields. Assignments will enhance your understanding of the statistical concepts and help you to develop your ability to apply your knowledge to analyse data. Typical exam style questions are provided to assist in your preparation for the final examination.
Overview of Learning Resources
The course Canvas site links to the course notebook where you will find:
- Teaching schedule and suggested reading (including prescribed textbook)
- Assessment guide and assessment schedule.
- Guide to On-line tests.
- Lecture slides.
- Computer lab guides for using Excel in statistics
- Assignment papers
- Recommended references.
- Tables and formula sheets.
- Weekly exercises and answers.
- Practice exam questions.
You will have access to the software packages Microsoft Excel and Minitab through myDesktop.
A Library Guide is available at http://rmit.libguides.com/mathstats
Overview of Assessment
Early Assessment Task: (Weeks 2-5), Two On-line Tests
This assessment task supports CLOs (1), (2).
Assessment Task 2: Four On-line Tests (two for Maths, two for Statistics)
Weighting: 6.5% + 6.5% + 4% + 4% = 21%
This assessment task supports CLOs (2),(3),(4),(5),(6).
Assessment Task 3: Four Statistics assignments
Weighting: 4% + 4% + 4% + 4% = 16%
This assessment task supports CLOs (4),(5),(6).
Assessment Task 4: Exam (worth 50%): A 3-hour open book end of semester exam.
This assessment task supports CLOs: (1),(2),(3),(4),(5),(6).