# Course Title: Solve mathematical problems in engineering processes

## Part B: Course Detail

Teaching Period: Term1 2011

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: Successful completion of class tests and written exam. Element: Differentiate and integrate polynomial functions Performance Criteria: Successful completion of class tests and written exam. Element: Manipulate indices Performance Criteria: Successful completion of class tests and written exam. Element: Use differentiation Performance Criteria: Successful completion of class tests and written exam. Element: Use numerical methods Performance Criteria: Successful completion of class tests and written exam.

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.

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