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MATH11219 - Applied Calculus

General Information

Unit Synopsis

In this unit students apply the essential calculus concepts, processes and techniques to develop mathematical models for science and engineering problems. These include use of the Fundamental Theorem of Calculus to illustrate the relationship between the derivative and the integral of a function, and to apply the theorem to problems involving definite integrals. Differential calculus is used to construct mathematical models which investigate a variety of rate of change and optimisation problems. The standard rules and techniques of integration are included. Differential equations are introduced and applied to investigate more interesting science and engineering problems. Other important elements of this unit are the communication of results, concepts and ideas using mathematics as a language, being able to document the solution to problems in a way that demonstrates a clear, logical and precise approach, and communicating, working and learning in peer learning teams where appropriate. Mathematical software is also used to analyse and solve most problems studied in the unit. Note: If you have completed units MATH12223 or MATH12224 then you cannot take this unit.

Details

Level Undergraduate
Unit Level 1
Credit Points 6
Student Contribution Band SCA Band 1
Fraction of Full-Time Student Load 0.125
Pre-requisites or Co-requisites

Prerequisite: MATH11218

Anti-requisite: MATH12223 or MATH12224

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).

Class Timetable View Unit Timetable
Residential School No Residential School

Unit Availabilities from Term 3 - 2017

Term 3 - 2017 Profile
Distance
Rockhampton
Term 2 - 2018 Profile
Bundaberg
Cairns
Distance
Gladstone
Mackay
Rockhampton
Term 3 - 2018 Profile
Distance
Rockhampton
Term 2 - 2019 Profile
Bundaberg
Cairns
Gladstone
Mackay
Online
Rockhampton
Term 3 - 2019 Profile
Online
Rockhampton
Term 2 - 2020 Profile
Bundaberg
Cairns
Gladstone
Mackay
Online
Rockhampton
Term 3 - 2020 Profile
Online
Rockhampton
Term 2 - 2021 Profile
Bundaberg
Cairns
Gladstone
Mackay
Online
Rockhampton
Term 3 - 2021 Profile
Online
Rockhampton
Term 2 - 2022 Profile
Bundaberg
Cairns
Gladstone
Mackay
Online
Rockhampton
Term 3 - 2022 Profile
Online
Term 2 - 2023 Profile
Bundaberg
Cairns
Gladstone
Mackay
Online
Rockhampton
Term 3 - 2023 Profile
Online
Rockhampton
Term 2 - 2024 Profile
Bundaberg
Cairns
Gladstone
Mackay
Online
Rockhampton
Term 3 - 2024 Profile
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).

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.

Assessment Tasks

Assessment Task Weighting
1. Written Assessment 20%
2. Written Assessment 20%
3. Written Assessment 10%
4. Examination 50%

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

Past Exams

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Previous Feedback

Term 2 - 2022 : The overall satisfaction for students in the last offering of this course was 81.82% (`Agree` and `Strongly Agree` responses), based on a 22.92% response rate.

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.

Source: 2021 Engineering Curriculum Review.
Feedback
Strategically optimise the unit topics taught.
Recommendation
Update the lectures and tutorials to match the revised unit curriculum.
Action Taken
The topics of applications of integration and numerical integration have been divested from the unit. Ordinary differential equations coverage was expanded by an additional week, with lecture and tutorial materials updated to reflect the additional time spent studying this topic area.
Source: Student Unit and Teaching Evaluation (SUTE).
Feedback
Positive student feedback was received that the unit was well structured, had lots of resources and provided a good pace for learning with supportive and engaged staff.
Recommendation
Continue to offer a positive learning experience.
Action Taken
The teaching and learning approach has been maintained.
Source: Unit Coordinator reflection
Feedback
A large segment of students would substantially benefit from ensuring sufficient practice with the fundamental mathematics curriculum covered in the unit.
Recommendation
Update unit assessment to include workbook submissions that capture the students practice, in developing solutions to the units curriculum, during the term.
Action Taken
Nil.
Unit learning Outcomes

On successful completion of this unit, you will be able to:

  1. Interpret the derivative as a rate of change and use the rules of differentiation to investigate rates of change of functions.
  2. Use differential calculus to construct mathematical models to investigate optimisation problems.
  3. Carry out the process of integration as the inverse operation of differentiation.
  4. Apply standard rules and techniques of integration, construct and analyse simple mathematical models involving rates of change and elementary differential equations.
  5. Use the Fundamental Theorem of Calculus to illustrate the relationship between the derivative and the integral of a function and apply the theorem to problems involving definite integrals.
  6. Select appropriate mathematical methods, use them to investigate and solve problems, and interpret the results.
  7. Use mathematics as a language to communicate results, concepts and ideas in context.
  8. Document the solution to problems in a way that demonstrates a clear, logical and precise approach.
  9. Communicate, work and learn together in peer learning teams where appropriate.
  10. Use mathematical software to visualise, analyse, validate and solve problems.


Alignment of Assessment Tasks to Learning Outcomes
Assessment Tasks Learning Outcomes
1 2 3 4 5 6 7 8 9 10
1 - Written Assessment
2 - Written Assessment
3 - Written Assessment
4 - Examination
Alignment of Graduate Attributes to Learning Outcomes
Introductory Level
Intermediate Level
Graduate Level
Graduate Attributes Learning Outcomes
1 2 3 4 5 6 7 8 9 10
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
Alignment of Assessment Tasks to Graduate Attributes
Introductory Level
Intermediate Level
Graduate Level
Assessment Tasks Graduate Attributes
1 2 3 4 5 6 7 8 9 10
1 - Written Assessment
2 - Written Assessment
3 - Written Assessment
4 - Examination