Course Title: Solve mathematical problems in engineering processes

Part B: Course Detail

Teaching Period: Term1 2010

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

Michael Cobucci
Building 51, level 06, Room 04
+61 3 9925 4898
michael.cobucci@rmit.edu.au

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:

Basic and Essential Arithmetic -
Fractions and Decimals -
Percentages -
Using the Mathematics calculator -
Rounding, Significant figures & Standard Notation -
Powers, Indices and Roots -
Transformation and substitution -
Basic Trigonometry -

Performance Criteria:

1.1 Basic and Essential Arithmetic -
1.2 Fractions and Decimals -
1.3 Percentages, ratios and proportions
1.4 Using the Mathematics Calculator
1.5 Values of Decimals, Rounding, Significant Figures, Prime Factors & Scientific Notation

Element:

Differentiate and integrate polynomial functions

Performance Criteria:

2.1 Linear Equations -
2.2 Factorisation-
2.3 Quadratic Equations-
2.4 Cubic Equations

Element:

Manipulate indices

Performance Criteria:

3.1 Transformation and substitution-
3.2 Powers, Indices and Roots -

Element:

Use differentiation

Performance Criteria:

2.1 Linear Equations -
2.2 Factorisation-
2.3 Quadratic Equations-
2.4 Cubic Equations
2.5 Differentiation

Element:

Use numerical methods

Performance Criteria:

2.1 Linear Equations -
2.2 Factorisation-
2.3 Quadratic Equations-
2.4 Cubic Equations


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

This Course/Subject has been designed specifically to help students, learn, develop and reinforce mathematical theory and problem solving skills that are deemed essential for students to succeed at higher levels in the Computer Science program at RMIT University.

The main objectives are:

• To develop an understanding in basic arithmetic including the four operations , through the manipulation of integers, fractions and decimals.

• To develop an understanding of percentages including their equivalent fractional and decimal forms, solve simple percentage problems, ratios and proportions and apply these skills to calculations.

• To develop an understanding of the importance of significant figures.

• To round off and evaluate expressions using scientific or standard notation and apply these skills to relevant calculations.

• Develop skill in the use of linear, quadratic and cubic functions, including the solving of applied problems.

• To develop an ability to evaluate expression using indices, powers or roots notation, including logarithms. Students are also manipulation of indices using index laws and apply these to relevant calculations.

• To develop and be able to transform, substitute and evaluate mathematical formulae

• To develop an ability to evaluate expressions using indices, powers, roots and logarithmic notation, including their manipulation and apply these to relevant calculations.


Teaching Schedule


 Week
Semester 1
2010
 Performance Criteria  Section Title  Topic  Problem Set
 Week 1
(Class 1 - Semester 1) numbers



 1.1 Introduction to the Course
 Adding whole numbers
Subtracting whole numbers
Multiplication Whole numbers

Set 1A
Set 1B
Set 1C

Set 1D
Set 1E
Set 1F

Set 1G
Set 1H
Set 1I

 Week 1
(Class 2 - Semester 1) 		 1.1  Basic and Essential Arithmetic  Adding whole numbers
Subtracting whole numbers
Multiplication Whole numbers		 Set 1A
Set 1B
Set 1C
Set 1D
Set 1E
Set 1F
Set 1G
Set 1H
Set 1I
 Week 2
(Class 1 - Semester 1) 1.1





 1.1  Basic and Essential Arithmetic  Order of Operations

Positive and negative numbers

Positive and negative numbers Multiplication

Positive and negative numbers
Division

Positive and negative numbers

Mixed Operations
 Set 1K
Set 1L
Set 1M
Set 1N
Set 1O
Set 1P
Set 1Q
 
Week 2
(Class 2 - Semester 1) 





 1.1  Basic and Essential Arithmetic  

Order of Operations

Positive and negative numbers

Positive and negative numbers Multiplication

Positive and negative numbers
Division

Positive and negative numbers

Mixed Operations		  Set 1K
Set 1L
Set 1M
Set 1N
Set 1O
Set 1P
Set 1Q
 Week 3
(Class 1 - Semester 1) 
  1.2  Fractions and Decimals  Introduction to Fractions
Changing mixed numbers to improper fractions.
Changing improper fractions to mixed numbers.
Change by reducing the integer by 1		  Set 2A
Set 2B
Set 2C
Set 2D
 Week 3
(Class 1 - Semester 1)
 1.2  Fractions and Decimals  Introduction to Fractions
Changing mixed numbers to improper fractions.
Changing improper fractions to mixed numbers.
Change by reducing the integer by 1		  Set 2A
Set 2B
Set 2C
Set 2D
 Week 4
(Class 1 - Semester 1) 

  		 1.2  Fractions and Decimals  Find the missing numbers.

Fractions
Cancel down
Fractions
Find common denominators
Adding Fractions 		Set 2E
Set 2F

Set 2G
Set 2H
 Week 4
(Class 2 - Semester 1)



 1.2  Fractions and Decimals Simplifying the following fractions
Solving Fractions
Decimal places
Solve the following
Dividing whole numbers
Changing mixed numbers to decimals 		 Set 2I
Set 2J
Set 2K
Set 2L
Set 2M
Set 2N
Set 2O
Set 2P
Set 2Q

Set 2R
Set 2S
Set 2T
Set 2U
Set 2V
Set 2W

 

Week 5

(Class 1-Semester 1)

  1.2  Fractions and Decimals

 

Simplifying the following fractions
Solving Fractions
Decimal places
Solve the following
Dividing whole numbers
Changing mixed numbers to decimals

 Set 2I
Set 2J
Set 2K
Set 2L
Set 2M
Set 2N
Set 2O
Set 2P
Set 2Q

Set 2R
Set 2S
Set 2T
Set 2U
Set 2V
Set 2W
 Week 5
(Class 2 - Semester 1)

 1.2  Fractions and Decimals  Simplifying the following fractions
Solving Fractions
Decimal places
Solve the following
Dividing whole numbers
Changing mixed numbers to decimals
 Set 2I
Set 2J
Set 2K
Set 2L
Set 2M
Set 2N
Set 2O
Set 2P
Set 2Q

Set 2R
Set 2S
Set 2T
Set 2U
Set 2V
Set 2W
 Week 6
(Class 1 - Semester 1)


 1.3  Percentages, ratios and proportions  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
 Week 6
(Class 2 - Semester 1)

Handout to students .

 1.4  Using the Mathematics Calculator  Maths Calculator
Exercises - given as a handout		  Set 4A
Set 4B
Set 4C
 Week 7
(Class 1 - Semester 1)



 1.5 
 Values of Decimals, Rounding, Significant Figures, Prime Factors & Scientific Notation  Rounding, Significant figures

Standard Notation
 Set 5A
Set 5B
Set 5C
Set 5D
 Week 7
(Class 2 - Semester 1)



 1.5   Rounding, Significant figures & Standard Notation Rounding, Significant figures

Standard Notation 		 Set 5E
Set 5F
Set 5G
Set 5H
 Week 8
(Class 1 - Semester 1)
 2.1
 Linear equations  Solving linear equations Set 6A
Set 6B
Set 6C
Set 6D
 Week 8
(Class 2 - Semester 1)


 2.1  Linear equations  Solving linear equations  Set 6E
Set 6F
Set 6G
Set 6I
 Week 9
(Class 1 - Semester 1) 
 
 2.2  Factorisation   Factorisation   Exercise 4.1

Exercise 4.2

Exercise 4.3
 Week 9
(Class 2 - Semester 1)
 2.2  Factorisation  Factorisation  Exercise 4.4

Exercise 4.5

Exercise 4.6
 Week 10
(Class 1 - Semester 1)
 2.2  Factorisation  Factorisation  Exercise 4.7

Exercise 4.8

Exercise 4.9

Exercise 4.10
 Week 10
(Class 2 - Semester 1)
 2.3  Quadratic Equations  Quadratic Equations  Set 6.1

Set 6.2

Set 6.3
Set 6.4
 Week 11
(Class 1 - Semester 1)
 2.3  Quadratic Equations  Quadratic Equations  Set 6.5

Set 6.6

Set 6.7
 Week 11
(Class 2 - Semester 1)


 2.4  Cubic equations  Polynomials and expanding 
 


  Set 6A
Set 6B




 Week 12
(Class 1 - Semester 1)
 2.4  Cubic equations  Long division of cubic polynomials  Set 6C
Set 6D
 Week 12
(Class 2 - Semester 1)
 2.4  Cubic equations  Remainder and factor theorems-  Set 6E
Set 6F
 Week 13
(Class 1 - Semester 1)


 3.1  Transformation and substitution  Transformation  
Set 1A

Set 1B

Set 1C 
 Week 13
(Class 2 - Semester 1)
 3.1  Transformation and substitution  Substitution  Set 1D

Set 1E
 Week 14
(Class 1 - Semester 1) 		 3.2  Powers, Indices and Roots  Powers and Indices


Roots
 Set 6A
Set 6B
Set 6C
Set 6D
Set 6E
Set 6F
Set 6G
Set 6H
 Week 14
(Class 2 - Semester 1)





 3.2  Powers, Indices and Roots  Powers and Indices
Roots
 Set 6I
Set 6J
Set 6K
Set 6L
Set 6M
Set 6N
Set 6O
Set 6P
 Week 15
(Class 1 - Semester 1)
 3.2  Powers, Indices and Roots  Powers and Indices
Roots
 Set 6Q
Set 6R
Set 6S
Set 6T

Set 6U
Set 6V (Part 1) Set 6W (Part 2)
Set 6X (Part 1)
 Week 15
(Class 2 - Semester 1)
 3.2  Powers, Indices and Roots  Powers and Indices
Roots
 Set 6X (Part 2)
Set 6Y (Part 1)
Set 6Y (Part 2)
Set 6Y (Part 3)
Set 6Y (Part 4)
Set 6Y (Part 5) Set 6Y (Part 6)
Set 6Z (Part 1)

 Week 16
(Class 1 - Semester 1)










 3.2  Powers, Indices and Roots  Powers and Indices


Roots
 Set 6Z (Part 2)
Set 6Z (Part 3)
Set 6Z (Part 4)
Set 6Z (Part 5)
 Week 16
(Class 2 - Semester 1) 		 3.2  Powers, Indices and Roots  Powers and Indices


Roots
 Set 6Z (Part 6)
Set 6Z (Part 7)
Set 6Z (Part 8)
Set 6Z (Part 9
 Week 17
(Class 1 - Semester 1)
 3.2  Powers, Indices and Roots  Powers and Indices


Roots
 Set 6Z (Part 10)
Set 6Z (Part 11)
Set 6Z (Part 12)
Set 6Z (Part 13)
 Week 17
(Class 2 - Semester 1)
 3.2  Powers, Indices and Roots  Powers and Indices


Roots
 Set 6Z (Part 14)
Set 6Z (Part 15)
Set 6Z (Part 16)
Set 6Z (Part 17)
Set 6Z (Part 18)
                                                     REVIEW/ REVISION
                                                        JUNE EXAM
                                                 END OF SEMESTER 1


Learning Resources

Prescribed Texts

There is no prescribed 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 should have a calculator, writting instruments and an exercise book.
Access to a computer would be advantageous.


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 Tasks will consist of Tests & Exams

In class tests: 40%

Introductory mathematics for Computer Science Exam 1
End of Semester 1, June - Exam: 60%

TOTAL=100%


Assessment Matrix

  Element 1 Element 2 Element 3 Element 4
Tests  √ √ √ √
Exam √ √ √ √

Other Information

Additional RMIT study and support can be obtained from the Study and Learning Centre (SLC). Further information can be obtained via the following website:
www.rmit.edu.au/studyandlearningcentre

The SLC can also be contacted on 9925 3600.
The SLC can also be contacted via the E-mail learning query service.

University Plagiarism Statement
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