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
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 - 2022
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).
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
Assessment Overview
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.
All University policies are available on the CQUniversity Policy site.
You may wish to view these policies:
- Grades and Results Policy
- Assessment Policy and Procedure (Higher Education Coursework)
- Review of Grade Procedure
- Student Academic Integrity Policy and Procedure
- Monitoring Academic Progress (MAP) Policy and Procedure - Domestic Students
- Monitoring Academic Progress (MAP) Policy and Procedure - International Students
- Student Refund and Credit Balance Policy and Procedure
- Student Feedback - Compliments and Complaints Policy and Procedure
- Information and Communications Technology Acceptable Use Policy and Procedure
This list is not an exhaustive list of all University policies. The full list of University policies are available on the CQUniversity Policy site.
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 Lecturer's observation
Students sometimes were caught in the middle between understanding the new topics and using or recalling mathematical knowledge and skills learnt in previous math units MATH11246/MATH12223.
Students will be reminded of adopting a progressive and recursive approach to mathematics learning whilst frequent in-class refreshing is provided as much as time allows.
- Interpret the fundamental theorems of integration
- Evaluate integrals using the substitution rule, integration by parts, trigonometric substitution, and other numerical approximations
- 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.
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
There are no required textbooks.
Additional Textbook Information
The textbook is the same book used in MATH12223. If you're new to CQU education mathematics, you may purchase a copy of the book from the CQU Bookshop: Essentials and Examples of Applied Mathematics (2nd Ed) by William Guo, published by Pearson in 2021/2022.
IT Resources
- CQUniversity Student Email
- Internet
- Unit Website (Moodle)
All submissions for this unit must use the referencing style: Harvard (author-date)
For further information, see the Assessment Tasks.
w.guo@cqu.edu.au
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
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
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
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
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
Module/Topic
Chapter
Events and Submissions/Topic
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 (24 Aug 2022) 11:59 pm AEST
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
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
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
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
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
Assignment 2 Due: Week 11 Wednesday (28 Sept 2022) 11:59 pm AEST
Module/Topic
Examination preview and preparation
Chapter
Events and Submissions/Topic
Module/Topic
Chapter
Events and Submissions/Topic
Module/Topic
Chapter
Events and Submissions/Topic
1 Written Assessment
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.
Week 6 Wednesday (24 Aug 2022) 11:59 pm AEST
Week 8 Wednesday (7 Sept 2022)
It is envisaged that feedback and solutions will be available in two weeks, or as soon as the process is completed.
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.
- Interpret the fundamental theorems of integration
- Evaluate integrals using the substitution rule, integration by parts, trigonometric substitution, and other numerical approximations
- Communication
- Problem Solving
- Critical Thinking
- Information Literacy
- Information Technology Competence
2 Written Assessment
This is an individual assignment.
This assignment is to test student's learning outcomes of topics studied in Weeks 6-10. The assignment details are provided on the Moodle website.
Week 11 Wednesday (28 Sept 2022) 11:59 pm AEST
Review/Exam Week Wednesday (12 Oct 2022)
It is envisaged that feedback and solutions will be available prior to sitting the standard examination.
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.
- 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.
- Communication
- Problem Solving
- Critical Thinking
- Information Literacy
- Information Technology Competence
Examination
Calculator - all non-communicable calculators, including scientific, programmable and graphics calculators are authorised
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?
