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 1A
Set 1B
Set 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)

 

     1Basic and Essential Arithmetic

Multiplication Whole numbers

 

 

 Division  Whole numbers

Set 1H
Set 1I

 

 

Set 1J
Set 1K

 

     2 (Class 2)

 

     1

Basic and Essential Arithmetic

 

Order of Operations

 

 

 

Set 1L
Set 1M
Set 1N
Set 1O

 

    3 (Class1)     1 Basic and Essential Arithmetic Order of OperationsSet 1P
Set 1Q
3 (Class 2)     2Fractions 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)   2Fractions and Decimals

 Find the missing numbers.

 



Fractions

 

 

Find common denominators


Adding Fractions

 Set 2E

 

 

 

Set 2F


 

Set 2G


Set 2H

 4 (Class 2) 2Fractions and Decimals

Simplifying fractions

Solving Fractions

 

Set 2I
Set 2J

Set 2K
Set 2L
Set 2M

Set 2N
Set 2O

 

 5 (Class1)   2Fractions and Decimals

 Decimal places

 

Solve the following

 Set 2P

 

Set 2R
Set 2S
Set 2T

 5 (Class 2)  2Fractions 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)4Using 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/ REVISIONREVIEW/ REVISION  
10 (Class1) EXAM 1EXAM 1  
ALGEBRA AND FUNCTIONS
 10 (Class 2) 1Solving Linear EquationsSolving 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)2IndicesSurds
Set 2

Questions 12 - 14
12 (Class1)3Transformation of formulaeTransformation 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)5Quadratic Equations Quadratic Equations Set 5

Questions 1-8
14 (Class 2)5Quadratic Equations Quadratic Equations Set 5

Questions 1-8
15 (Class1)6Cubics and remander TheoremCubics and remander Theorem

Set 6

Questions 1-3

15 (Class 2)6Cubics and remander TheoremCubics 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 1EXAM 1 
HOLIDAYS  HOLIDAYS HOLIDAYSHOLIDAYS
DIFFERENTIATION
PROBLEMS
    
Week
Semester 2
2008
 Section/Set Section Title

 
Topic


Problem Set
1 (Class1)1LimitsLimtsSet 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) 3Basic Rules for Differentiation Basic Rules for Differentiation  Set 3

Questions 1 - 4
3 (Class 2)3Basic Rules for Differentiation Basic Rules for Differentiation Set 3

Questions 1 - 4
4 (Class1)4Higher Derivatives Higher Derivatives Set 4

Questions 1 - 10
4 (Class 2)4Higher Derivatives Higher Derivatives Set 4

Questions 1 - 10
5 (Class1)5The Chain Rule The Chain RuleSet 5

Questions 1 - 5
5 (Class 2)5The Chain RuleThe Chain RuleSet 5

Questions 1 - 5
6 (Class1)6The Product RuleThe Product Rule Set 6

Questions 1 - 5
6 (Class 2)6The Product RuleThe 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) 8Tangents and Normals to CurvesTangents and Normals to Curves Set 8

Questions 1 - 8
8 (Class 2)8Tangents and Normals to CurvesTangents and Normals to CurvesSet 8

Questions 1 - 8
13 (Class1)13Derivatives of Trigonometric Functions Derivatives of Trigonometric Functions Set 13

Questions 1 - 8
13 (Class 2)13Derivatives of Trigonometric Functions Derivatives of Trigonometric Functions Set 13

Questions 1 - 8
 14 (Class1) 14Derivatives of Exponential Functions Derivatives of Exponential Functions  Set 14

Questions 1 - 8
 14 (Class 2) 14Derivatives of Exponential Functions Derivatives of Exponential Functions  Set 14

Questions 1 - 8
15 (Class1)15Derivatives of Logarithmic
Functions
Derivatives of Logarithmic
Functions
Set 15

Questions 1 - 4
15 (Class 2)15

Derivatives of Logarithmic
Functions

Derivatives of Logarithmic
Functions
Set 15

Questions 1 - 4
16 (Class1)16KinematicsKinematicsSet 16

Questions 1 - 8
16 (Class 2)16KinematicsKinematicsSet 16

Questions 1 - 8
17 (Class1) REVIEW/ REVISIONREVIEW/ REVISION 
17 (Class 2) REVIEW/ REVISIONREVIEW/ 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