Course Title: Apply mathematical techniques for software development

Part B: Course Detail

Teaching Period: Term2 2025

Course Code: COSC7400C

Course Title: Apply mathematical techniques for software development

Important Information:

Please note that this course may have compulsory in-person attendance requirements for some teaching activities.

Please check your Canvas course shell closer to the course start date to see if this course requires mandatory in-person attendance.

The delivery method of the course might have to change quickly in response to changes in course requirements. It is advisable for students to keep in contact with their teachers regarding in-person course attendance.

School: 520T Future Technologies

Campus: City Campus

Program: C4410 - Certificate IV in Information Technology

Course Contact: Saud Khan

Course Contact Phone: +61 3 9925 4612

Course Contact Email: saud.khan@rmit.edu.au


Name and Contact Details of All Other Relevant Staff

Nominal Hours: 30

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

This course will provide you with the skills and knowledge required to use basic mathematical methods and operations in standard computer notation, Boolean algebra, data types and computer storage.


National Codes, Titles, Elements and Performance Criteria

National Element Code & Title:

ICTPRG442 Apply mathematical techniques for software development

Element:

1. Establish task requirements

Performance Criteria:

1.1 Identify and configure software development environment according to business need 1.2 Discuss and confirm software development task and intent according to business need 1.3 Identify and discuss different mathematical techniques in software development

Element:

2. Manipulate number and character representation systems in a software development context

Performance Criteria:

2.1 Convert numbers between binary, decimal and hexadecimal number systems 2.2 Add, subtract and multiply numbers in binary 2.3 Determine binary memory storage of an integer and a character

Element:

3. Manipulate algebraic terms and solve linear equations in a software development context

Performance Criteria:

3.1 Position number types on number line 3.2 Evaluate various numerical expressions involving integers, fractions and indices 3.3 Simplify various algebraic expressions involving integers, fractions and indices

Element:

4. Construct, simplify and evaluate expressions and mathematical formulas in a software development context

Performance Criteria:

4.1 Solve simple equations 4.2 Convert formulas between standard algebraic form and computer notation 4.3 Create formulas in standard algebraic form and in computer notation 4.4 Simplify and evaluate Boolean expressions and formulas 4.5 Complete truth tables using simple Boolean expressions and logic 4.6 Save and confirm work with required personnel


Learning Outcomes


On successful completion of this course the candidate will demonstrate the ability to complete the tasks outlined in the elements, performance criteria and foundation skills of this unit.


Details of Learning Activities

A range of learning activities are planned for this course including self-paced and collaborative classroom based activities.

The collaborative classroom based activities will include theory sessions, practical lab sessions, tutorial sessions, and out-of-class research and homework.

We expect you to participate and contribute in all scheduled learning activities. It enhances the skills and knowledge required to use basic mathematical methods and operations in standard computer notation, Boolean algebra, data types, and computer storage.


Teaching Schedule

WeekDateTopicAssessment / Learning activities
Week 1

14 - 20 July

Introduction. Overview of arithmetic operations. Manipulating negative integers. BODMAS

Pre-Assessment Quiz.

Week 2

21 - 27 July

Fractions, Decimals and Indices

Week 3

28 July - 03 August

Introduction to Algebra. Algebraic expressions and equations. Solution of linear equations

Practice Quiz for Assessment 1
Week 4

04 - 10 August

Flowcharts and algorithms

Assessment Task 1 - Online Test 1
Topics covered:
Week 1-2

Week 5

11 - 17 August

Computer models for linear algebra

Week 6

18 - 24 August

Computer models for linear algebra

Week 7

25 - 31 August

Data representation. Decimal and binary number systems.

Assessment Task 2 -Lab Assessment 1 Algebra Modelling

Topics covered:
Week 3-6

01 - 07 September

Mid-semester break

Week 8 8 - 14 September

Decimal and binary number conversions. The hexadecimal numbering system.

Week 9

15 - 21 September

Digital codes (Binary, BCD, Gray code).

Week 10

22 - 28 September

Binary arithmetic, negative number representation in binary

Practice Quiz for Assessment 3

Week 11

29 September - 05 October

Introduction to digital logic, logic gates and truth tables.

Assessment Task 3 - Online Test 2 -Number Systems

Topics covered:
Week 7-10

Week 12

Week 13

06 - 12 October

13 - 19 October

Simplification of digital logic using Boolean algebra.

Week 14

20 - 26 October

Converting logic expression to a logic circuit and vice versa.

Practice Quiz for Assessment 4

Week 15

Week 16

27 October- 2 November

03 - 09 November

Applications of Boolean algebra in logic circuit minimization

Assessment Task 4 -Lab Test 2 Boolean Algebra

Topics covered:
Week 9-14

Week 17

10 - 16 November

Revision during the class. Discuss logic gates, Boolean algebra.

Week 18 17 - 23 November Catch up class/Assessment’s Final Re-submissions (if available)


Learning Resources

Prescribed Texts


References


Other Resources

Please refer to Canvas for details on other courses.


Overview of Assessment

Assessment for this course is ongoing throughout the semester. Your knowledge and understanding of course content is assessed through participation in class exercises and various types of assessments.

Full assessment briefs will be provided and can be found on CANVAS.


Assessment Tasks

Students Must complete the following assessments:

Assessment

Task 1: Online Test 1

Assessment

Task 2: Lab Test 1

Assessment

Task 3: Online Test 2

Assessment

Task 4: Lab Test 2


Assessment Matrix

Assessment Matrix

Elements Performance Criteria

Assessment

Task 1: Online Test 1

Assessment

Task 2: Lab Test 1

Assessment

Task 3: Online Test 2

Assessment

Task 4: Lab Test 2

1. Establish task requirements

1.1 Identify and configure software development environment according to business need

AT2 :Activity 1 and 2

1.2 Discuss and confirm software development task and intent, according to business need

AT2: Activity 3 and 4

1.3 Identify and discuss different mathematical techniques in software development

AT1-Q 24

2. Manipulate number and character representation systems in a software development context

2.1 Convert numbers between binary, decimal and hexadecimal number systems

AT3Q1-3,6-7

2.2 Add, subtract and multiply numbers in binary

AT3Q5,Q9-10

AT4 Section 1

2.3 Determine binary memory storage of an integer and a character

AT3 Q11-13

3. Manipulate algebraic terms and solve linear equations in a software development context

3.1 Position number types on number line

AT1 Q23

3.2 Evaluate various numerical expressions involving integers, fractions and indices

AT1 Q1- Q23

3.3 Simplify various algebraic expressions involving integers, fractions and indices

AT2

Q 3a & 3b

4. Construct, simplify and evaluate expressions and mathematical formulas in a software development context

4.1 Solve simple equations

AT2

Q1b,1c,2a,2b

4.2 Convert formulas between standard algebraic form and computer notation

AT2Q1b/c,2a/b, 3a/b

4.3 Create formulas in standard algebraic form and in computer notation

AT2 Q1b/c,2a/b, 3a/b

AT4-Section 2b

4.4 Simplify and evaluate Boolean expressions and formulas

AT4 -Section 3

4.5 Complete truth tables using simple Boolean expressions and logic

AT4 Section 3

AT4 Section 4

4.6 Save and confirm work with required personnel

AT4 Section 4

Other Information

Credit Transfer and/or Recognition of Prior Learning (RPL):

You may be eligible for credit towards courses in your program if you have already met the learning/competency outcomes through previous learning and/or industry experience. To be eligible for credit towards a course, you must demonstrate that you have already completed learning and/or gained industry experience, that is:

• Relevant
• Current
• Satisfies the learning/competency outcomes of the course

To find more information about credit transfer and RPL, please refer to the following link: https://www.rmit.edu.au/students/my-course/enrolment/apply-for-credit

Study and Learning Support:

RMIT University Library provides free study support services and resources to help you build your academic skills.

Study and Learning Centre (SLC) provides free learning and academic development advice to you. Services offered by SLC to support your numeracy and literacy skills are:

• Assignment writing, thesis writing and study skills advice
• Math and science developmental support and advice
• English language development

To find more information about Study and Learning Support, please refer to the following link: https://www.rmit.edu.au/students/support-services/study-support

Equitable Learning Services (ELS):

The Equitable Learning Services team (ELS team) supports and creates equal opportunities for students with a disability, long-term illness and/or mental health condition. We also support primary carers.

ELS works in partnership with students to create an Equitable Learning Plan. Your plan is tailored to you, supports your needs and establishes how RMIT can provide ongoing assistance so you can access and participate in your studies. The ELS team can assist you to manage your Equitable Learning Plan.

To find more information about services offered by Equitable Learning Services (ELS), please refer to the following link: https://www.rmit.edu.au/students/support-services/equitable-learning

Extensions and Special Consideration

Extensions:

• Extensions are available for unforeseen circumstances of a short-term nature.

• Applications must be submitted to the school at least one working day before the due date of the assessment.

• Extensions can be approved for up to 7 days past the due date for an assessment. (Where students need an extension exceeding 7 days, they must instead apply for special consideration.)

Special Consideration:

• An application for special consideration is made in advance of an assessment wherever possible, but will normally be accepted within five working days after the assessment date. For more information, see the Special Consideration page of the RMIT website.

Plagiarism:

Plagiarism is a form of cheating and it is very serious academic offence that may lead to expulsion from the University.

Please Refer: www.rmit.edu.au/academicintegrity to find more information about plagiarism.

Email Communication:

All email communications will be sent to your RMIT email address and you must regularly check your RMIT emails

Course Overview: Access Course Overview