Course Title: Mathematics for university engineering
Part B: Course Detail
Teaching Period: Term1 2008
Course Code: CIVE5625
Course Title: Mathematics for university engineering
School: 130T Infra, Electrotec & Build Serv
Campus: City Campus
Program: C6066 - Advanced Diploma of Civil Engineering (Structural Design)
Course Contact : Tony Skinner Program Coordinator
Course Contact Phone: (03) 9925 4444
Course Contact Email:tony.skinner@rmit.edu.au
Name and Contact Details of All Other Relevant Staff
Program Coordinator:
Mr Tony Skinner
Tel. 9925 4444
Fax. 99254377
Email: tony.skinner@rmit.edu.au
Nominal Hours: 60
Regardless of the mode of delivery, represent a guide to the relative teaching time and student effort required to successfully achieve a particular competency/module. This may include not only scheduled classes or workplace visits but also the amount of effort required to undertake, evaluate and complete all assessment requirements, including any non-classroom activities.
Pre-requisites and Co-requisites
EAX110 – Use calculus
EDX130 – Use mathematics at technician level
EDX140 – Use, quadratic, exponential, logarithmic and trigonometric functions and matrices
Course Description
This unit covers the competency to differentiate and integrate nth degree polynomials, exponential and logarithmic functions, trigonometric and inverse trigonometric functions and hyperbolic and inverse hyperbolic functions.
This unit also covers the skills and knowledge required in solving engineering mathematics problems by using differentiation, integration and systems of linear equations in conjunction with the deployment of a suitable software application package. This unit also covers the competencies achieved in first semester Engineering mathematics at university.
National Codes, Titles, Elements and Performance Criteria
National Element Code & Title: |
EAX095 Mathematics for university engineering |
Element: |
Anti-derivatives or (indefinite integrals) are used to relate density, mass and moment |
Performance Criteria: |
1.0The mass of a beam is determined using integration |
Element: |
Define and evaluate rate of change |
Performance Criteria: |
2.0 Functions are examined for various limits |
Element: |
Exponential and Logarithmic functions are integrated |
Performance Criteria: |
3.0An inverse function is defined. |
Element: |
Functions are graphed using the first and second derivative |
Performance Criteria: |
4.0 Critical values are used to define stationary and inflection points. |
Element: |
Functions are integrated using the properties of The Fundamental Theorem of Calculus |
Performance Criteria: |
5.0Definite integrals are derived and calculated. |
Element: |
Graph simple functions |
Performance Criteria: |
6.0 Numbers are identified as R |
Element: |
Hyperbolic and Inverse Hyperbolic Functions are differentiated and integrated |
Performance Criteria: |
7.0Coshx, sinhx, tanhx are defined. |
Element: |
Inverse Trigonometric Functions are integrated |
Performance Criteria: |
8.0 Inverse trigonometric functions are defined |
Element: |
Systems of linear equations are used to solve Engineering mathematics problems |
Performance Criteria: |
9.0 Linear equations are represented as a matrix |
Element: |
The definite integral is applied to Engineering mathematics problems |
Performance Criteria: |
10.0The area between two curves is calculated |
Element: |
The derivative of a function is used to calculate rates of change. |
Performance Criteria: |
11.0 Units are substituted into functions to calculate the rate of change |
Element: |
The derivatives of the six trigonometric functions are examined |
Performance Criteria: |
12.0 Sinusoidal functions are graphed and interpreted. |
Element: |
The maximum or minimum of functions in engineering situations is determined |
Performance Criteria: |
13.0 Relationships between functions are examined through related rates of change. |
Learning Outcomes
Anti-derivatives or (indefinite integrals) are used to relate density, mass and moment
Define and evaluate rate of change
Exponential and Logarithmic functions are integrated
Functions are graphed using the first and second derivative
Functions are integrated using the properties of The Fundamental Theorem of Calculus
Graph simple functions
Hyperbolic and Inverse Hyperbolic Functions are differentiated and integrated
Inverse Trigonometric Functions are integrated
Systems of linear equations are used to solve Engineering mathematics problems
The definite integral is applied to Engineering mathematics problems
The derivative of a function is used to calculate rates of change.
The derivatives of the six trigonometric functions are examined
The maximum or minimum of functions in engineering situations is determined
Details of Learning Activities
• Differentiate and integrate algebraic, trigonometric, exponential and logarithmic, and hyperbolic functions.
• Solve maxima and minima engineering problems using differentiation.
• Demonstrate with applications the density, mass, moment and area using integration.
• Apply the matrices theory in order to solve a system of linear equations.
Participate in individual and team problem solving calculation activities completed to industry standard related to typical engineering problems requiring:
• Graph simple functions by using the derivatives
• Applying the indefinite integrals to relate density, mass and moment.
• Using the definite integral to Engineering mathematics problems
• Solving integrals involving exponential and logarithmic equations
• Applying the integration to Hyperbolic and Inverse Hyperbolic Functions
Teaching Schedule
See Online Learning Hub for details.
Learning Resources
Prescribed Texts
Fitzgerald G. F, Peckham I.A, Mathematical Methods for Engineers and Scientists, third edition, 2002, Pearson Education Australia |
References
1. Fitzgerald G. F, Tables, RMIT Notes in Mathematics, 1995. |
Other Resources
Overview of Assessment
The assessment comprises a combination of Assignments and Tests.
The students are required to complete:
Written Assignment 1 10% of the total marks
Written Test 1 40% of the total marks
Written Assignment 2 10% of the total marks
Written Test 2 40% of the total marks
• Vector and Matrix algebra, determinants, and systems of linear equations are assessed with Assignment 1 and Test 1.
• Differential and Integral calculus (functions of multiple variables, the double integral) and its applications (the rate of change, the density, mass, moment and area using integration) are assessed with Assignment 2 and Test 2.
Assessment Tasks
As per Assessment Matrix below
Assessment Matrix
Element Covered | Assessment Task | Proportion of Final Assessment | Submission Time |
1,2,3,4,5,6,7 | Assignment 1 Test 1 | 10% 40% | Week 9 Week 9 |
8,9,10,11,12,13 | Assignment 2 Test 2 | 10% 40% | Week 18 Week 18 |
Course Overview: Access Course Overview