# 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: Element: Integration in co-ordinate geometry Performance Criteria: Element: Manipulate indices Performance Criteria: Element: Manipulate logarithms Performance Criteria: Element: Sketch graphs Performance Criteria: Element: Use differentiation Performance Criteria: Element: Use numerical methods Performance Criteria:

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 Semester 1 2008 Section/Set Section  Title Topic Problem Set 1 (Class1) 1 Basic and Essential Arithmetic Adding whole numbers Set 1ASet 1BSet 1C 1 (Class 2) 1 Basic and Essential Arithmetic Subtracting whole numbers Addition and Subtraction Whole numbers Set 1D Set 1E Set 1F     Set 1G 2 (Class1) 1 Basic and Essential Arithmetic Multiplication Whole numbers      Division  Whole numbers Set 1HSet 1I     Set 1J Set 1K 2 (Class 2) 1 Basic and Essential Arithmetic Order of Operations Set 1LSet 1MSet 1N Set 1O 3 (Class1) 1 Basic and Essential Arithmetic Order of Operations Set 1PSet 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.   Fractions     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 2ISet 2J Set 2KSet 2LSet 2M Set 2NSet 2O 5 (Class1) 2 Fractions and Decimals Decimal places   Solve the following Set 2P   Set 2RSet 2SSet 2T 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 Exercises 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 Set 6B 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 Questins 1 - 10 Set 2 Questins 12 - 14 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 Topic 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 LogarithmicFunctions 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 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