Course Title: Solve mathematical problems in engineering processes
Part B: Course Detail
Teaching Period: Term1 2008
Course Code: MATH7012C
Course Title: Solve mathematical problems in engineering processes
School: 155T Vocational Health and Sciences
Campus: City Campus
Program: C6068 - Advanced Diploma of Computer Science
Course Contact: Michael Cobucci
Course Contact Phone: +61 3 99254898
Course Contact Email: michael.cobucci@rmit.edu.au
Name and Contact Details of All Other Relevant Staff
Nominal Hours: 40
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
None
Course Description
Recommended Mathematics at High School and Year 11/12 Mathematical Methods
A selection of topics including:
-Introductory Mathematics for Computer Science
- Algebra and Functions
- Differential Calculus
National Codes, Titles, Elements and Performance Criteria
National Element Code & Title: |
VBN176 Solve mathematical problems in engineering processes |
Element: |
Differentiate and integrate polynomial functions |
Performance Criteria: |
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Element: |
Integration in co-ordinate geometry |
Performance Criteria: |
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Element: |
Manipulate indices |
Performance Criteria: |
|
Element: |
Manipulate logarithms |
Performance Criteria: |
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Element: |
Sketch graphs |
Performance Criteria: |
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Element: |
Use differentiation |
Performance Criteria: |
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Element: |
Use numerical methods |
Performance Criteria: |
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Learning Outcomes
Undersand and use:
• Basic and Essential Arithmetic
• Fractions and Decimals
• Percentages
• Using the Mathematics calculator
• Rounding, Significant figures & Standard Notation
• Powers, Indices and Roots
• Transformation and substitution
• Mathematical Graphs
• Basic Trigonometry
• Manipulate indices
• Manipulate logarithms
• Sketch graphs
• Use numerical methods
• Differentiate
• Apply differentiation
Details of Learning Activities
Students will study and develop mathematical skills in communicating theory and problem solving , collecting, planning, analysing and organising mathematical information obtained from theory and problem solving sessions. Mathematical concepts will be explored through a range of activities including analysis of basic theory, in class tests and end of unit examinations.
Teaching Schedule
*Proposed Weekly Schedule - Semester 1 and Semester 2, 2008 (*Subject to change)
Week |
Section/Set | Section Title | Topic | Problem Set | |
1 (Class1) | 1 |
Basic and Essential Arithmetic
|
Adding whole numbers |
Set 1A Set 1B Set 1C |
|
1 (Class 2) | 1 |
Basic and Essential Arithmetic
|
Subtracting whole numbers |
Set 1D
Set 1G |
|
2 (Class1)
|
1 | Basic and Essential Arithmetic |
Multiplication Whole numbers
Division Whole numbers |
Set 1H
Set 1J |
|
2 (Class 2)
|
1 |
Basic and Essential Arithmetic
|
Order of Operations |
Set 1L
|
|
3 (Class1) | 1 | Basic and Essential Arithmetic | Order of Operations | Set 1P Set 1Q |
|
3 (Class 2) | 2 | Fractions and Decimals |
Introduction to Fractions Changing mixed numbers to improper fractions.
Changing mixed numbers to improper fractions.
Change by reducing the integer by 1 |
Set 2A Set 2B
Set 2C
Set 2D |
|
4 (Class1) | 2 | Fractions and Decimals |
Find the missing numbers.
Find common denominators Adding Fractions |
Set 2E
Set 2F
Set 2G Set 2H |
|
4 (Class 2) | 2 | Fractions and Decimals |
Simplifying fractions Solving Fractions |
Set 2I Set 2K Set 2N
|
|
5 (Class1) | 2 | Fractions and Decimals |
Decimal places
Solve the following |
Set 2P
Set 2R |
|
5 (Class 2) | 2 | Fractions and Decimals |
Solve the following
Changing mixed numbers to decimals
Changing decimals into mixed numbers or fractions |
Set 2U
Set 2V
Set 2W |
|
6 (Class1)
|
3 | Percentages |
Changing percentages to ordinary mixed numbers
Change the following fractions to percentages.
Change the following percentages to decimals
Change the following decimals to percentages |
Set 3A
Set 3B
Set 3C
Set 3D |
|
6 (Class 2) | 4 | Using the Mathematics Calculator |
Maths Calculator
|
Set 4 | |
7 (Class1) | 5 | Rounding, Significant figures & Standard Notation |
Rounding, Significant figures
Standard Notation |
Set 5A
Set 5B |
|
7 (Class 2) | 6 | Powers, Indices and Roots |
Powers and Indices
Roots |
Set 6A
|
|
8 (Class1) | 7 | Transformation and substitution |
Transformation
substitution |
Set 7A
Set 7B |
|
8 (Class 2) | 8 | Mathematical Graphs |
Mathematical Graphs-Graphical representations
Mathematical Graphs-Graphical representationsand their formulae |
Set 8A
Set 8B |
|
9 (Class1) |
9
|
Basic Trigonometry | Basic Trigonometry |
Set 9A
Set 9B
|
|
9 (Class 2) | REVIEW/ REVISION | REVIEW/ REVISION | |||
10 (Class1) | EXAM 1 | EXAM 1 | |||
ALGEBRA AND FUNCTIONS | |||||
10 (Class 2) | 1 | Solving Linear Equations | Solving Linear Equations |
Set 1 Questins 1 - 15 |
|
11 (Class1) | 2 | Indices |
Indices
Surds |
Set 2 Set 2 |
|
11 (Class 2) | 2 | Indices | Surds |
Set 2 Questions 12 - 14 |
|
12 (Class1) | 3 | Transformation of formulae | Transformation of formulae |
Set 3 Questions 1 - 6 |
|
12 (Class 2) | 3 | Transformation of formulae | Transformation of formulae | Set 3 Questions 7 - 8 |
|
13 (Class1) | 4 | Linear Functions | Linear Functions |
Set 4 Questions 1-8 |
|
13 (Class 2) | 4 | Linear Functions | Linear Functions | Set 4 Questions 1-8 |
|
14 (Class1) | 5 | Quadratic Equations | Quadratic Equations | Set 5 Questions 1-8 |
|
14 (Class 2) | 5 | Quadratic Equations | Quadratic Equations | Set 5 Questions 1-8 |
|
15 (Class1) | 6 | Cubics and remander Theorem | Cubics and remander Theorem |
Set 6 Questions 1-3 |
|
15 (Class 2) | 6 | Cubics and remander Theorem | Cubics and remander Theorem | Set 6 Questions 5-6 |
|
16 (Class1) | 7 | Binomial Theorem | Binomial Theorem |
Set 7 Questions 1-3 |
|
16 (Class 2) | 8 | Logarithms | Logarithms | Set 8 Questions 1-8 |
|
17 (Class1) | 8 | Logarithms | Logarithms | Set 8 Questions 9 -11 |
|
17 (Class 2) | REVISION | REVISION | |||
18 (Class1) | REVISION | REVISION | |||
18 (Class 2) |
|
EXAM 1 | EXAM 1 | ||
HOLIDAYS | HOLIDAYS | HOLIDAYS | HOLIDAYS | ||
DIFFERENTIATION PROBLEMS |
|||||
Week Semester 2 2008 |
Section/Set | Section Title | |
Problem Set |
|
1 (Class1) | 1 | Limits | Limts | Set 1 Questions 1 -10 |
|
1 (Class 2) | 1 | Limits | Limts | Set 1 Questions 1 -10 |
|
2 (Class1) | 2 | First Principles | First Principles | Set 2 Questions 1 - 5 |
|
2 (Class 2) | 2 | First Principles | First Principles | Set 2 Questions 1 - 5 |
|
3 (Class1) | 3 | Basic Rules for Differentiation | Basic Rules for Differentiation | Set 3 Questions 1 - 4 |
|
3 (Class 2) | 3 | Basic Rules for Differentiation | Basic Rules for Differentiation | Set 3 Questions 1 - 4 |
|
4 (Class1) | 4 | Higher Derivatives | Higher Derivatives | Set 4 Questions 1 - 10 |
|
4 (Class 2) | 4 | Higher Derivatives | Higher Derivatives | Set 4 Questions 1 - 10 |
|
5 (Class1) | 5 | The Chain Rule | The Chain Rule | Set 5 Questions 1 - 5 |
|
5 (Class 2) | 5 | The Chain Rule | The Chain Rule | Set 5 Questions 1 - 5 |
|
6 (Class1) | 6 | The Product Rule | The Product Rule | Set 6 Questions 1 - 5 |
|
6 (Class 2) | 6 | The Product Rule | The Product Rule | Set 6 Questions 1 - 5 |
|
7 (Class1) | 7 | The Quotient Rule | The Quotient Rule | Set 7 Questions 1 - 3 |
|
7 (Class 2) | 7 | The Quotient Rule | The Quotient Rule | Set 7 Questions 1 - 3 |
|
8 (Class1) | 8 | Tangents and Normals to Curves | Tangents and Normals to Curves | Set 8 Questions 1 - 8 |
|
8 (Class 2) | 8 | Tangents and Normals to Curves | Tangents and Normals to Curves | Set 8 Questions 1 - 8 |
|
13 (Class1) | 13 | Derivatives of Trigonometric Functions | Derivatives of Trigonometric Functions | Set 13 Questions 1 - 8 |
|
13 (Class 2) | 13 | Derivatives of Trigonometric Functions | Derivatives of Trigonometric Functions | Set 13 Questions 1 - 8 |
|
14 (Class1) | 14 | Derivatives of Exponential Functions | Derivatives of Exponential Functions | Set 14 Questions 1 - 8 |
|
14 (Class 2) | 14 | Derivatives of Exponential Functions | Derivatives of Exponential Functions | Set 14 Questions 1 - 8 |
|
15 (Class1) | 15 | Derivatives of Logarithmic Functions |
Derivatives of Logarithmic Functions |
Set 15 Questions 1 - 4 |
|
15 (Class 2) | 15 | Derivatives of Logarithmic |
Derivatives of Logarithmic Functions |
Set 15 Questions 1 - 4 |
|
16 (Class1) | 16 | Kinematics | Kinematics | Set 16 Questions 1 - 8 |
|
16 (Class 2) | 16 | Kinematics | Kinematics | Set 16 Questions 1 - 8 |
|
17 (Class1) | REVIEW/ REVISION | REVIEW/ REVISION | |||
17 (Class 2) | REVIEW/ REVISION | REVIEW/ REVISION | |||
18 | EXAM | EXAM |
Learning Resources
Prescribed Texts
Their is no prescibed textbook for this course. Class notes and sets of problem booklets will be handed out to students. |
References
Any first year text, or Mathematical Methods Year 11 or 12 textbook, or most first year texts on Algebra and Calculus. Thomas & Finney. Calculus and Analytical Geometry, Stewart J. Calculus |
Other Resources
Students will be required to have their own electronic calculator.
Overview of Assessment
The student must demonstrate an understanding of all elements of a particular competency to be deemed competent.
Assessment will incorporate a variety of methods including written small in class tests and theory exams.
Assessment Tasks
Assessment for this course, includes:
Introductory Mathematics for Computer Science
1 x 2 hour EXAM on all topics - In Class - 20%
Algebra and Functions
1 x 3 hour exam on all topics (End of Semester 1, June) - 30%
Differentiation
1 x 3 hour exam on topic (End of Semester 2, November) - 40%
In class tests 10%
TOTAL = 100%
.
Assessment Matrix
Other Information
Students are reminded that cheating, whether by fabrication, falsification of data, or plagiarism, is an offence subject to University disciplinary procedures. Plagiarism in oral, written or visual presentations is the presentation of the work, idea or creation of another person, without appropriate referencing, as though it is one’s own. Plagiarism is not acceptable. The use of another person’s work or ideas must be acknowledged. Failure to do so may result in charges of academic misconduct, which carry a range of penalties including cancellation of results and exclusion from your course. Students are responsible for ensuring that their work is kept in a secure place. It is also a disciplinary offence for students to allow their work to be plagiarised by another student. Students should be aware of their rights and responsibilities regarding the use of copyright material.
Course Overview: Access Course Overview