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 2
Fraction of Full-Time Student Load 0.125
Pre-requisites or Co-requisites

Prerequisite: MATH11218

Anti-requisite: MATH12223 or MATH12224

Class Timetable View Unit Timetable
Residential School No Residential School

Unit Availabilities from Term 2 - 2018

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

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 Procedures for more details of interim results and final grades

Past Exams

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Previous Feedback

Term 2 - 2018 : The overall satisfaction for students in the last offering of this course was 4.7 (on a 5 point Likert scale), based on a 44.29% 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: Abridged from student feedback
Feedback
Students commented very favourably upon: the lecturing approach; provision of annotated lecture slides; availability of supporting learning materials and the level of support provided by staff and prompt attention to queries.
Recommendation
Continue to offer a positive supported learning experience.
Action Taken
This practice has been maintained.
Source: Unit coordinator reflection
Feedback
Develop additional instructional videos on key weekly topics.
Recommendation
Continue to develop additional supporting materials for the unit.
Action Taken
Instructional videos for all the standard techniques of differentiation are now available.
Source: Engineering program committee.
Feedback
Embed additional applied engineering disciplinary examples in the unit.
Recommendation
Liaise with the engineering discipline leads for additional applied engineering examples to embed in unit learning materials.
Action Taken
Nil.
Source: Student feedback from the unit evaluation.
Feedback
Strong student feedback was received on the assessment, Moodle site layout and available resources, lecturing style and examples presented, and the level of support offered by staff.
Recommendation
Continue to foster the current learning and teaching environment.
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
1 - Written Assessment
2 - Written Assessment
3 - Written Assessment
4 - Examination