CQUniversity Unit Profile
MATH12224 Calculus B
Calculus B
All details in this unit profile for MATH12224 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 solve problems in geometry, science, engineering, business, and other disciplines through the application of integral calculus techniques. You will interpret the fundamental theorems of integration and evaluate integrals using the substitution rule, integration by parts, trigonometric substitution, and other numerical approximations. You will learn how to apply Taylor or Maclaurin series to represent and approximate nonlinear functions.

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: MATH12223 Calculus and Linear Algebra A

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 2 - 2023

Online
Rockhampton

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

The unit provides a perfect mix of challenge and support, making learning enjoyable. It is streamlined around a tailored textbook with real-world examples, aiding understanding before building complexity.

Recommendation

Continue to offer a positive supported learning experience.

Unit Learning Outcomes
On successful completion of this unit, you will be able to:
  1. Interpret the fundamental theorems of integration
  2. Evaluate integrals using the substitution rule, integration by parts, trigonometric substitution, and other numerical approximations
  3. Use Taylor or Maclaurin series to represent and approximate nonlinear functions
  4. Apply integral calculus to solve problems in geometry, science, engineering, business, and other disciplines.
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

Alignment of Assessment Tasks to Graduate Attributes

Assessment Tasks Graduate Attributes
1 2 3 4 5 6 7 8 9 10
1 - Written Assessment - 25%
2 - Written Assessment - 25%
3 - Examination - 50%
Textbooks and Resources

Textbooks

Prescribed

Essentials and Examples of Applied Mathematics

Edition: 2nd (2020)
Authors: William Guo
Pearson
Melbourne Melbourne , Victoria , Australia
ISBN: 9780655703624
Binding: Paperback

Additional Textbook Information

The textbook is the same book used in MATH12223. If you're new to CQU education mathematics, you may purchase a hard copy of the book from the CQU Bookshop: Essentials and Examples of Applied Mathematics (2nd Ed) by William Guo, published by Pearson in 2020/2021/2022/2023.

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: 10 Jul 2023

Module/Topic

Unit preview

Solving Nonlinear Equations

Chapter

Section 12.1 in Essentials and Examples of Applied Mathematics 2nd (2nd EEAM)

Events and Submissions/Topic

Read Section 12.1

Complete Week 1 exercises

Week 2 Begin Date: 17 Jul 2023

Module/Topic

Taylor and Maclaurin Series 


Chapter

Sections 12.2-12.3 in 2nd EEAM

Events and Submissions/Topic

Read Sections 12.2-12.3

Complete Week 2 exercises

Week 3 Begin Date: 24 Jul 2023

Module/Topic

Derivatives of Special Functions and Applications


Chapter

Sections 10.5 and 11.1 (Examples 11.4 & 11.5) in 2nd EEAM

Events and Submissions/Topic

Read Sections 10.5 and 11.1

Complete Week 3 exercises

Week 4 Begin Date: 31 Jul 2023

Module/Topic

Differentials and Applications

Chapter

Sections 13.1-13.2 in 2nd EEAM

Events and Submissions/Topic

Read Sections 13.1-13.2

Complete Week 4 exercises

Week 5 Begin Date: 07 Aug 2023

Module/Topic

Fundamentals of Indefinite Integration

Integration by Substitution

Chapter

Sections 14.1-14.2.1 in 2nd EEAM

Events and Submissions/Topic

Read Sections 14.1-14.2.1

Complete Week 5 exercises

Vacation Week Begin Date: 14 Aug 2023

Module/Topic

Chapter

Events and Submissions/Topic

Week 6 Begin Date: 21 Aug 2023

Module/Topic

Integration by Parts


Chapter

Section 14.2.2 in 2nd EEAM

Events and Submissions/Topic

Read Section 14.2.2

Complete Week 6 exercises


Assignment 1 Due: Week 6 Wednesday (23 Aug 2023) 11:59 pm AEST
Week 7 Begin Date: 28 Aug 2023

Module/Topic

Integration by Complete Differentials and Partial Fractions


Chapter

Sections 14.2.3-14.2.4 in 2nd EEAM

Events and Submissions/Topic

Read Sections 14.2.3-14.2.4

Complete Week 7 exercises

Week 8 Begin Date: 04 Sep 2023

Module/Topic

Applications of Indefinite Integration

Chapter

Sections 15.1-15.2: Selected cases in 2nd EEAM

Events and Submissions/Topic

Read Sections 15.1-15.2

Complete Week 8 exercises

Week 9 Begin Date: 11 Sep 2023

Module/Topic

Essentials of Definite Integration

Applications of Definite Integration (I)

Chapter

Sections 16.1-16.2.1 (Physical areas) in 2nd EEAM

Events and Submissions/Topic

Read Sections 16.1-16.2.1 (First topic)

Complete Week 9 exercises

Week 10 Begin Date: 18 Sep 2023

Module/Topic

Applications of Definite Integration (II)


Chapter

Section 16.2.1 (2nd-4th topics) in 2nd EEAM

Events and Submissions/Topic

Read Section 16.2.1 (2nd-4th topics)

Complete Week 10 exercises

Week 11 Begin Date: 25 Sep 2023

Module/Topic

Applications of Definite Integration (III)

Numeric Integration

Chapter

Sections 16.2.2 (first topic) and 17.3 in 2nd EEAM

Events and Submissions/Topic

Read Sections 16.2.2 (first topic) and 17.3

Complete Week 11 exercises

Week 12 Begin Date: 02 Oct 2023

Module/Topic

Examination preview and preparation

Chapter

Events and Submissions/Topic

Assignment 2 Due: Week 12 Wednesday (4 Oct 2023) 11:59 pm AEST
Review/Exam Week Begin Date: 09 Oct 2023

Module/Topic

Chapter

Events and Submissions/Topic

Exam Week Begin Date: 16 Oct 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 (23 Aug 2023) 11:59 pm AEST


Return Date to Students

Week 8 Wednesday (6 Sept 2023)

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


Referencing Style

Submission
Online

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

Learning Outcomes Assessed
  • Interpret the fundamental theorems of integration
  • Evaluate integrals using the substitution rule, integration by parts, trigonometric substitution, and other numerical approximations


Graduate Attributes
  • Communication
  • Problem Solving
  • Critical Thinking
  • Information Literacy
  • Information Technology Competence

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 (4 Oct 2023) 11:59 pm AEST


Return Date to Students

It is envisaged that feedback and solutions will be available prior to sitting the standard examination.


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.


Referencing Style

Submission
Online

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

Learning Outcomes Assessed
  • Use Taylor or Maclaurin series to represent and approximate nonlinear functions
  • Apply integral calculus to solve problems in geometry, science, engineering, business, and other disciplines.


Graduate Attributes
  • Communication
  • Problem Solving
  • Critical Thinking
  • Information Literacy
  • Information Technology Competence

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 the 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?