Course Title: Use Calculus
Part B: Course Detail
Teaching Period: Term1 2008
Course Code: MATH5263
Course Title: Use Calculus
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
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 functions related to practical problems
common to the Civil and Mechanical engineering disciplines.
National Codes, Titles, Elements and Performance Criteria
National Element Code & Title: |
EAX110 Use Calculus |
Element: |
• Analytical and applied problems are solved by evaluating definite integrals and interpreting their meaning |
Performance Criteria: |
1.1 Definite integrals are evaluated using the Fundamental Theorem of Calculus |
Element: |
• Applied problems are solved using derivatives and anti-derivatives of trigonometric functions |
Performance Criteria: |
2.1 Trigonometric functions in combination and composition with algebraic, exponential and logarithmic functions are differentiated using one or more of the sum, product, quotient and chain rules. |
Element: |
• Applied problems are solved with the aid of Matlab |
Performance Criteria: |
3.1 Simple applied problems, involving Matlab provided elementary mathematical functions are solved at command prompt. |
Element: |
• Differentiate algebraic, exponential and natural logarithmic functions and use the results to solve problems |
Performance Criteria: |
4.1 Define the derivative of a function f as the slope of the limiting positive of a secant to a curve. |
Element: |
• Electronics/Electrical Simple analytical and applied problems are solved by using 3 dimensional vectors |
Performance Criteria: |
5.1 Simple quadratic equations with  < 0 are solved. |
Element: |
• Interpret the concept of a derivative graphically and as a rate of change, and solve applied problems |
Performance Criteria: |
6.1 Applied problems involving algebraic, logarithmic and exponential functions are solved by interpreting the derivative as an instantaneous rate of change of a quantity at a time t. |
Element: |
• Mechanical/Civil Simple analytical and applied problems are solved by using complex numbers |
Performance Criteria: |
7.1 Simple quadratic equations with  < 0 are solved. |
Element: |
• Simple differential equations are solved by determining the antiderivatives of algebraic, exponential and natural logarithmic functions |
Performance Criteria: |
8.1 The antiderivatives of elementary functions are determined. |
Learning Outcomes
Analytical and applied problems are solved by evaluating definite integrals and interpreting their meaning
• Applied problems are solved using derivatives and anti-derivatives of trigonometric functions
• Applied problems are solved with the aid of Matlab
• Differentiate algebraic, exponential and natural logarithmic functions and use the results to solve problems
• Electronics/Electrical Simple analytical and applied problems are solved by using 3 dimensional vectors
• Interpret the concept of a derivative graphically and as a rate of change, and solve applied problems
• Mechanical/Civil Simple analytical and applied problems are solved by using complex numbers
• Simple differential equations are solved by determining the antiderivatives of algebraic, exponential and natural logarithmic functions
Details of Learning Activities
Participation in individual and team problem solving activities related to typical engineering workplace problems requiring:
• analytical and logical thinking skills
• application of mathematical principles and skills in relation to:
- derivatives and anti-derivatives,
- solution of differential equations
- rate of change,
- definite integrals
- Matlab
- Complex numbers
- 3-dimensional vectors
• completion of calculations to industry standard
Teaching Schedule
See Online Learning Hub for details.
Learning Resources
Prescribed Texts
None |
References
Online notes are currently under development. Other references will be given in the first class. |
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
• Written assignment and a 2-hour examination for : Derivatives of algebraic, exponential and logarithmic functions, solving problems by finding the minimum and/or the maximum, interpretation of derivatives graphically, indefinite integrals, rate of change and other applications.
• Written assignment and a 2-hour examination for : Definite integrals and applications into finding the areas and volumes, first and second order differential equations with applications.
Assessment Tasks
• Written assignment and a 2-hour examination for : Derivatives of algebraic, exponential and logarithmic functions, solving problems by finding the minimum and/or the maximum, interpretation of derivatives graphically, indefinite integrals, rate of change and other applications.
• Written assignment and a 2-hour examination for : Definite integrals and applications into finding the areas and volumes, first and second order differential equations with applications.
Assessment Matrix
Element Covered | Assessment Task | Proportion of Final Assessment | Submission Time |
1 - 4 | Assignment | 10% | Refer to teaching schedule |
1 - 4 | Examination | 40% | Mid- semester |
5 - 8 | Assignment | 10% | Refer to teaching schedule |
5 - 8 | Examination | 40% | End-of-semester |
Course Overview: Access Course Overview