Course Title: Use calculus
Part B: Course Detail
Teaching Period: Term1 2014
Course Code: MATH5318
Course Title: Use calculus
School: 130T Vocational Engineering
Campus: City Campus
Program: C6093 - Advanced Diploma of Engineering Design
Course Contact: Program Manager
Course Contact Phone: +61 3 9925 4468
Course Contact Email: engineering-tafe@rmit.edu.au
Name and Contact Details of All Other Relevant Staff
Dr Elmas Aliu
+61 3 9925 4360
elmas.aliu@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
EDX130B Use technical mathematics (basic)
EDX140B Use technical mathematics (advanced)
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: |
EAX110B Use calculus |
Element: |
1. Differentiate algebraic, exponential and natural logarithmic functions and use the results to solve problems |
Performance Criteria: |
.1 Define the derivative of a function f as the slope of the limiting positive of a secant to a curve using. |
Element: |
2. Interpret the concept of a derivative graphically and as a rate of change, and solve applied problems |
Performance Criteria: |
2.1 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: |
3. Simple differential equations are solved by determining the antiderivatives of algebraic, exponential and natural logarithmic functions |
Performance Criteria: |
3.1 The antiderivatives of elementary functions are determined using the following basic formulae |
Element: |
4. Analytical and applied problems are solved by evaluating definite integrals and interpreting their meaning |
Performance Criteria: |
4.1 Definite integrals are evaluated using the Fundamental Theorem of Calculus where |
Element: |
5. Applied problems are solved using derivatives and anti-derivatives of trigonometric functions |
Performance Criteria: |
5.1 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. |
Learning Outcomes
• Develop analytical and logical thinking skills
• Apply mathematical principles and skills in relation to:
- derivatives and anti-derivatives,
- solution of differential equations
- rate of change,
- definite integrals
• Perform calculations to industry standard
Details of Learning Activities
You will involve in the following learning activities to meet requirements for this course
• Tutorial
• Work simulation activities
Teaching Schedule
Week | Topic Delivered | Elements / Performance Criteria |
1 | Download/Explain course including assessments, policies/Revision of Pre Requisite course and Introduction to the competency Assignment (part A) handed out (worth 5% of total mark) due date end of week 4. |
1.1,1.2 |
2 | Define derivatives, elementary algebraic function Differentiation – Product rule | 1.3,1.4 |
3 | Differentiation – quotient rule | 1.5,1.6,1.7 |
4 | Differentiation – Ln and e functions / Differentiation – combinations | 1.8, 2.1 |
5 | Differentiation – Chain Rule, Differentiation – Trigonometric Functions | 2.2, 2.3, 2.4 |
6 | Differentiation Applications to engineering problems | 1.1, 1.2, 1.3 |
7 | Further application to Differentiation | 2.1, 2.2 |
8 | Practice Test and revision | 1.1, 1.2, 1.3 1.4, 1.5, 1.6, 1.7, 1.8, 2.1, 2.2, 2.3, 2.4 |
9 | Closed book Test (worth 30% of total mark) |
1.1, 1.2, 1.3 1.4, 1.5, 1.6 1.7, 1.8, 2.1, 2.2, 2.3, 2.4 |
10 | Antiderivatives general/Antiderivatives various forms/Fundamental Theorem of Calculus Fundamental Theorem of Calculus / Integrals General / Integrals Algebraic form/ Integrals other Forms Integrals Exp and LN forms / Integrals Trig forms |
3.1, 3.2 3.3,3.4 4.1, 4.2, 4.3,4.4 |
11 | Integrals Exp and LN forms / Integrals Trig forms | 3.1, 3.2 4.1, 4.2 |
12 | methods of integration - substitution and partial integration | 3.3, 3.4 4.3, 4.4 |
13 | methods of integration - rational integration and other trigonometric integrations |
3.1,3.2, 3.3,3.4 4.1, 4.2 |
14 | methods of integration - trigonometric integrations | 4.1, 4.2, 4.3,4.4 |
15 | Integrals application - areas and volumes | 5.1,5.2,5.3, 5.4 |
16 | Integrals application - practical engineering problems | 5.5, 5.6, 5.7 |
17 | Practice Exam and revision | 3.1,3.2, 3.3,3.4 |
18 | Closed book Exam (worth 50% of total mark) |
3.1,3.2, 3.3,3.4 4.1, 4.2, 4.3, 4.4, 4.5 5.1, 5.2, 5.3,5.4, 5.5, 5.6, 5.7 |
Learning Resources
Prescribed Texts
Fitzgerald G. F, Peckham I.A, Mathematical Methods for Engineers and Scientists, forth edition, Pearson Education Australia |
1-74009-733-5 |
References
Glyn James, Modern Engineering Mathematics, fourth edition, Pearson Education Australia |
9780132391443 |
Other Resources
Overview of Assessment
Assessment are conducted in both theoretical and practical aspects of the course according to the performance criteria set out in the National Training Package. Students are required to undertake summative assessments that bring together knowledge and skills. To successfully complete this course you will be required to demonstrate competency in each assessment tasks detailed under the Assessment Task Section.
Your assessment for this course will be marked using the following table
NYC (<50%) Not Yet Competent
CAG (50-59%) Competent - Pass
CC (60-69%) Competent - Credit
CDI (70-79%) Competent - Distinction
CHD (80-100%) Competent - High Distinction
Assessment Tasks
• Assignment, 20%
• Test, 30%
• Exam , 50%
Assessment Matrix
EAX110B Elements & Performance Criteria | ||||||||||||
Assessments | 1.1 | 1.2 | 1.3 | 1.4 | 1.5 | 1.6 | 1.7 | 1.8 | 2.1 | 2.2 | 2.3 | 2.4 |
Assignment | x | x | x | x | x | x | x | x | x | x | x | x |
Test | x | x | x | x | x | x | x | x | x | x | x | x |
Exam |
EAX110B Elements & Performance Criteria | |||||||||||||||
Assessments | 3.1 | 3.2 | 3.3 | 3.4 | 4.1 | 4.2 | 4.3 | 4.4 | 5.1 | 5.2 | 5.3 | 5.4 | 5.5 | 5.6 | 5.7 |
Assignment | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x |
Test | |||||||||||||||
Exam | x | x | x | x | x | x | x | x | x | x | x | x | x | x | x |
Other Information
• Student directed hours involve completing activities such as reading online resources, assignment, individual student-teacher course-related consultation. Students are required to self-study the learning materials and complete the assigned out of class activities for the scheduled non-teaching hours. The estimated time is 12 hours outside the class time.
Course Overview: Access Course Overview