CQUniversity Unit Profile
MATH12223 Calculus A
Calculus A
All details in this unit profile for MATH12223 have been officially approved by CQUniversity and represent a learning partnership between the University and you (our student).
The information will not be changed unless absolutely necessary and any change will be clearly indicated by an approved correction included in the profile.
General Information

Overview

In this unit, you will study common functions and single-variable differential calculus. Through a visual, verbal, numerical and algebraic approach, you will formulate and apply functions and graphs in modelling applied mathematics problems. You will also develop a conceptual understanding of calculus and apply differentiation to solve problems in science, engineering and other disciplines. Other important elements of this unit are the communication of results, concepts and ideas using mathematics as a language.

Details

Career Level: Undergraduate
Unit Level: Level 2
Credit Points: 6
Student Contribution Band: 7
Fraction of Full-Time Student Load: 0.125

Pre-requisites or Co-requisites

Prerequisite: MATH11246 or MATH11160 Anti-Requisite: MATH11163

Important note: Students enrolled in a subsequent unit who failed their pre-requisite unit, should drop the subsequent unit before the census date or within 10 working days of Fail grade notification. Students who do not drop the unit in this timeframe cannot later drop the unit without academic and financial liability. See details in the Assessment Policy and Procedure (Higher Education Coursework).

Offerings For Term 1 - 2023

Online

Attendance Requirements

All on-campus students are expected to attend scheduled classes – in some units, these classes are identified as a mandatory (pass/fail) component and attendance is compulsory. International students, on a student visa, must maintain a full time study load and meet both attendance and academic progress requirements in each study period (satisfactory attendance for International students is defined as maintaining at least an 80% attendance record).

Class and Assessment Overview

Recommended Student Time Commitment

Each 6-credit Undergraduate unit at CQUniversity requires an overall time commitment of an average of 12.5 hours of study per week, making a total of 150 hours for the unit.

Class Timetable

Bundaberg, Cairns, Emerald, Gladstone, Mackay, Rockhampton, Townsville
Adelaide, Brisbane, Melbourne, Perth, Sydney

Assessment Overview

1. Written Assessment
Weighting: 25%
2. Written Assessment
Weighting: 25%
3. Examination
Weighting: 50%

Assessment Grading

This is a graded unit: your overall grade will be calculated from the marks or grades for each assessment task, based on the relative weightings shown in the table above. You must obtain an overall mark for the unit of at least 50%, or an overall grade of ‘pass’ in order to pass the unit. If any ‘pass/fail’ tasks are shown in the table above they must also be completed successfully (‘pass’ grade). You must also meet any minimum mark requirements specified for a particular assessment task, as detailed in the ‘assessment task’ section (note that in some instances, the minimum mark for a task may be greater than 50%). Consult the University’s Grades and Results Policy for more details of interim results and final grades.

Previous Student Feedback

Feedback, Recommendations and Responses

Every unit is reviewed for enhancement each year. At the most recent review, the following staff and student feedback items were identified and recommendations were made.

Feedback from Unit evaluation

Feedback

Align the contents to the Australian curriculum

Recommendation

Australian curriculum covers Y7-10 in secondary schools only. This second year unit is for senior mathematics in Y11-12 that is not covered by the Australian curriculum. Y11-12 curriculum is guided by the state syllabus and this unit has been aligned with the QLD Senior Math Syllabus recently

Feedback from Unit evaluation

Feedback

The pedagogy streamlining all activities closely related to the textbook was effective and easy to follow for the engaged students

Recommendation

Continue to offer a positive supported learning experience

Unit Learning Outcomes
On successful completion of this unit, you will be able to:
  1. Formulate and apply functions and graphs in modelling applied mathematics problems
  2. Solve problems using the concepts of limit, continuity and derivative, and rules of differentiation of functions
  3. Determine solutions to problems involving rates of change, optimisation and approximate computation through differentiation
  4. Communicate results, concepts and ideas in context using mathematics as a language.
Alignment of Learning Outcomes, Assessment and Graduate Attributes
N/A Level
Introductory Level
Intermediate Level
Graduate Level
Professional Level
Advanced Level

Alignment of Assessment Tasks to Learning Outcomes

Assessment Tasks Learning Outcomes
1 2 3 4
1 - Written Assessment - 25%
2 - Written Assessment - 25%
3 - Examination - 50%

Alignment of Graduate Attributes to Learning Outcomes

Graduate Attributes Learning Outcomes
1 2 3 4
1 - Communication
2 - Problem Solving
3 - Critical Thinking
4 - Information Literacy
5 - Team Work
6 - Information Technology Competence
7 - Cross Cultural Competence
8 - Ethical practice
9 - Social Innovation
10 - Aboriginal and Torres Strait Islander Cultures
Textbooks and Resources

Textbooks

Prescribed

ESSENTIALS AND EXAMPLES OF APPLIED MATHEMATICS

Edition: 2nd (2021)
Authors: William Guo
Pearson Australia
Melbourne Melbourne , Victoria , Australia
ISBN: 9780655703624
Binding: Paperback

Additional Textbook Information

This is the same textbook students used for MATH11246 in 2021 and 2022.

IT Resources

You will need access to the following IT resources:
  • CQUniversity Student Email
  • Internet
  • Unit Website (Moodle)
Referencing Style

All submissions for this unit must use the referencing style: Harvard (author-date)

For further information, see the Assessment Tasks.

Teaching Contacts
William Guo Unit Coordinator
w.guo@cqu.edu.au
Schedule
Week 1 Begin Date: 06 Mar 2023

Module/Topic

Functions and Graphs

Chapter

Textbook: Sections 4.1-4.2

Events and Submissions/Topic

Read Sections 4.1-4.2; Complete Week 1 exercises

Week 2 Begin Date: 13 Mar 2023

Module/Topic

Multivariable Functions and the Cartesian System

Linear Functions

Chapter

Textbook: Section 4.3

Textbook: Section 5.1

Events and Submissions/Topic

Read Sections 4.3 & 5.1; Complete Week 2 exercises

Week 3 Begin Date: 20 Mar 2023

Module/Topic

Quadratic Functions and Higher Order Polynomials

Chapter

Textbook: Sections 5.2-5.3

Events and Submissions/Topic

Read Sections 5.2-5.3; Complete Week 3 exercises

Week 4 Begin Date: 27 Mar 2023

Module/Topic

Exponential and Logarithmic Functions

Chapter

Textbook: Chapter 6

Events and Submissions/Topic

Read Chapter 6; Complete Week 4 exercises

Week 5 Begin Date: 03 Apr 2023

Module/Topic

Trigonometric and Hyperbolic Functions

Chapter

Textbook: Chapter 7

Events and Submissions/Topic

Read Chapter 7; Complete Week 5 exercises

Vacation Week Begin Date: 10 Apr 2023

Module/Topic

Mid-Term Break

Chapter

Events and Submissions/Topic

Week 6 Begin Date: 17 Apr 2023

Module/Topic

Limits and Continuities of Continuous Functions

Chapter

Section 10.1

Events and Submissions/Topic

Read Section 10.1; Complete Week 6 exercises


Assignment 1 Due: Week 6 Wednesday (19 Apr 2023) 11:59 pm AEST
Week 7 Begin Date: 24 Apr 2023

Module/Topic

Derivatives of Continuous Functions

Chapter

Section 10.2

Events and Submissions/Topic

Read Section 10.2; Complete Week 7 exercises

Week 8 Begin Date: 01 May 2023

Module/Topic

Advanced Techniques of Differentiation, and Higher Order Derivatives

Chapter

Sections 10.3 and 10.4

Events and Submissions/Topic

Read Sections 10.3 and 10.4; Complete Week 8 exercises

Week 9 Begin Date: 08 May 2023

Module/Topic

Applications of Derivatives (1)

Chapter

Sections 11.1-11.2

Events and Submissions/Topic

Read Sections 11.1-11.2; Complete Week 9 exercises

Week 10 Begin Date: 15 May 2023

Module/Topic

Applications of Derivatives (2)

Chapter

Section 11.3

Events and Submissions/Topic

Read Section 11.3; Complete Week 10 exercises

Week 11 Begin Date: 22 May 2023

Module/Topic

Applications of Derivatives (3)

Chapter

Section 11.4

Events and Submissions/Topic

Read Section 11.4; Complete Week 11 exercises

Week 12 Begin Date: 29 May 2023

Module/Topic

Unit review and examination preparation

Chapter

Events and Submissions/Topic

Assignment 2 Due: Week 12 Wednesday (31 May 2023) 11:59 pm AEST
Review/Exam Week Begin Date: 05 Jun 2023

Module/Topic

Chapter

Events and Submissions/Topic

Exam Week Begin Date: 12 Jun 2023

Module/Topic

Chapter

Events and Submissions/Topic

Assessment Tasks

1 Written Assessment

Assessment Title
Assignment 1

Task Description

This is an individual assignment. This assignment is to test student's learning outcomes of topics studied in Weeks 1-5. The assignment details are provided on the Moodle website.


Assessment Due Date

Week 6 Wednesday (19 Apr 2023) 11:59 pm AEST


Return Date to Students

Week 8 Wednesday (3 May 2023)

It is envisaged that feedback and solutions will be available in two weeks, or as soon as the marking process is completed.


Weighting
25%

Assessment Criteria

  • The final mark is out of 25. Questions are awarded the full marks allocated if they are error-free, partial marks if there are some problems, and no marks if not attempted or contain so many errors as to render the attempt to be without value. To ensure maximum benefit, answers to all questions should be neatly and clearly presented and all appropriate working should be shown. Assignments will receive NO marks if submitted after the solutions are released.
  • Due to the increasing number of cases where mathematical solutions can be obtained from software packages, the working that does not follow the approaches taught in this unit will not attract any credit against the question even the solution is correct.


Referencing Style

Submission
Online

Submission Instructions
Submit one PDF or word file through the Moodle website.

Learning Outcomes Assessed
  • Solve problems using the concepts of limit, continuity and derivative, and rules of differentiation of functions
  • Determine solutions to problems involving rates of change, optimisation and approximate computation through differentiation
  • Communicate results, concepts and ideas in context using mathematics as a language.

2 Written Assessment

Assessment Title
Assignment 2

Task Description

This is an individual assignment. This assignment is to test student's learning outcomes of topics studied in Weeks 6-11. The assignment details are provided on the Moodle website.


Assessment Due Date

Week 12 Wednesday (31 May 2023) 11:59 pm AEST


Return Date to Students

Review/Exam Week Wednesday (7 June 2023)

It is envisaged that the feedback and solutions will be available before the exam if all students submitted this assignment on time.


Weighting
25%

Assessment Criteria

  • The final mark is out of 25. Questions are awarded the full marks allocated if they are error-free, partial marks if there are some problems, and no marks if not attempted or contain so many errors as to render the attempt to be without value. To ensure maximum benefit, answers to all questions should be neatly and clearly presented and all appropriate working should be shown. Assignments will receive NO marks if submitted after the solutions are released.
  • Due to the increasing number of cases where mathematical solutions can be obtained from software packages, the working that does not follow the approaches taught in this unit will not attract any credit against the question even the solution is correct.


Referencing Style

Submission
Online

Submission Instructions
Submit one PDF or word file through the Moodle website.

Learning Outcomes Assessed
  • Formulate and apply functions and graphs in modelling applied mathematics problems
  • Communicate results, concepts and ideas in context using mathematics as a language.

Examination

Outline
Complete an invigilated examination

Date
During the examination period at a CQUniversity examination centre

Weighting
50%

Length
180 minutes

Minimum mark or grade
20 (40% of 50 marks)

Exam Conditions
Open Book

Materials
Dictionary - non-electronic, concise, direct translation only (dictionary must not contain any notes or comments).
Calculator - all non-communicable calculators, including scientific, programmable and graphics calculators are authorised
Academic Integrity Statement

As a CQUniversity student you are expected to act honestly in all aspects of your academic work.

Any assessable work undertaken or submitted for review or assessment must be your own work. Assessable work is any type of work you do to meet the assessment requirements in the unit, including draft work submitted for review and feedback and final work to be assessed.

When you use the ideas, words or data of others in your assessment, you must thoroughly and clearly acknowledge the source of this information by using the correct referencing style for your unit. Using others’ work without proper acknowledgement may be considered a form of intellectual dishonesty.

Participating honestly, respectfully, responsibly, and fairly in your university study ensures the CQUniversity qualification you earn will be valued as a true indication of your individual academic achievement and will continue to receive the respect and recognition it deserves.

As a student, you are responsible for reading and following CQUniversity’s policies, including the Student Academic Integrity Policy and Procedure. This policy sets out CQUniversity’s expectations of you to act with integrity, examples of academic integrity breaches to avoid, the processes used to address alleged breaches of academic integrity, and potential penalties.

What is a breach of academic integrity?

A breach of academic integrity includes but is not limited to plagiarism, self-plagiarism, collusion, cheating, contract cheating, and academic misconduct. The Student Academic Integrity Policy and Procedure defines what these terms mean and gives examples.

Why is academic integrity important?

A breach of academic integrity may result in one or more penalties, including suspension or even expulsion from the University. It can also have negative implications for student visas and future enrolment at CQUniversity or elsewhere. Students who engage in contract cheating also risk being blackmailed by contract cheating services.

Where can I get assistance?

For academic advice and guidance, the Academic Learning Centre (ALC) can support you in becoming confident in completing assessments with integrity and of high standard.

What can you do to act with integrity?