Aeronautical Mathematics2024-01-31T05:20:03+00:00


Advanced Algebra, Calculus and Applications in Aviation

The Aeronautical Mathematics Curriculum (Year 12) meets the educational requirements for direct entry pilots/ cadetship entry into Qantas Airways, Jetstar, Virgin Australia Airlines and Regional Express Airlines. The certificate obtained also meets the educational requirement for ADF Pilot, Air Combat Officer, Air Traffic Control (JBAC) and similar Aircrew Roles (Army, Navy and Airforce) entry. Students may also be interested in the ADF roles of Air Intelligence Analyst, Geospatial Intelligence Analyst, Airborne Electronics Analyst, Avionics Technician, Aviation Warfare Officer.

The course is also approved for Pilot and Cadet entry in Cathay Pacific.


Students may also be interested in the following courses:

Aerospace Engineering- Queensland University of Technology

Aerospace Engineering- University of Queensland

Engineering- University of South Australia

Bachelor of Aviation- Griffith University

Bachelor of Applied Science (Aviation)- RMIT

Note: Entry requirements will vary depending on the age of the student. Prerequisites for mature age students are generally not as restrictive as for recent year 12 graduates.


If you wish to get regular updates and schedules on courses please link to the College of Aeronautical Science facebook page. You will also find reviews on courses from previous students.




Core Topics: Algebra, Trigonometric Functions, Graph Plotting, Maxima and Minima, Polynomials, Reciprocal Functions, Exponential and Natural Log Functions, Differential Calculus, Integration, Modelling Physical Systems, Probability and Statistics

Special Topics: Take-off, Landing, and Climb Performance Formula and related Calculations, Lift Formula, Effect of Altitude upon Performance, Analysis of the Standardised Drag Equation©, Applications of Calculus in Optimising Aircraft Performance, includes calculations for Speed of Sound and Mach Number, Stall speed, absolute ceiling, service ceiling, minimum drag speed, best angle of climb, best rate of climb, best endurance speed, best range speed, maximum cruise speed (Thrust and structural limitations), fuel flow and range equations, Basic Flight Planning

For a more detailed summary please contact Dr Steven Holding



Advanced Algebra, Calculus and Applications in Aviation

Lecture Schedule

 The material is presented in lecture format over a 4-week period. Pre-course study is required. The course may be completed by correspondence; however I recommend that students attend at least 2 or 3 weeks in class if possible. In class tutorials are available daily after normal class hours. Individual tuition is available during courses outside of class hours if required (no charge for this service).

The Standard Algebra and Calculus curriculum has been adjusted to put emphasis on those topics relevant and of interest to the aviation or engineering student. The lecture material includes many examples and applications in Aeronautical Engineering, Flight Principles and Aircraft Performance. The student is thus encouraged to learn new principles by applying these to a familiar topic.

Correspondence: For correspondence students, lecture material has been recorded on video (mp4). Students will need to supply a USB or other memory devise (approx. 50GB). Assistance is available via email for all correspondence students. Assessment consists of two exams of 2 and 3 hours duration. Exam dates can be adjusted to suit student schedules or work commitments.

 Airline Aptitude and Selection Testing: Major International airlines tend to ask technical questions in job interviews. Also their “basic” maths or numerical test is not so basic! Course material is designed to assist you in both these areas. The core skills and information obtained here will improve your chance of getting the right result. Students may also be interested in the Commercial Airlines and Military Aptitude Test Preparation Courses conducted at the College of Aeronautical Science.

Preparation Study and Revision:

Preparation study is recommended. The following text gives a good overview of the basics for both courses. Haese Mathematics,

Mathematics for Australia 10. The text may be ordered direct from the publisher.

The chapter numbers for study are: 1, 2, 4, 5ABC, 6, 7, 8BCD, 11ABCDEF, 12.


Please let me know well in advance if you require accommodation in Brisbane. Rooms are usually available on, or near University campus.  Please contact me if you require a list of recommended accommodation options. Rooms on campus (includes all meals) are available in December, January, February and July.


Course Venue:        Brisbane:

Saint Johns College, College Road,  Saint Lucia.

(Green zone parking permits $5 all day)


Course Fees:           Please contact Dr Steven Holding, for latest course fees and                                                other details.


Lecture Course Schedule:          Courses are conducted at least 3 times a year however extra courses will be scheduled, depending on demand. Go to the College facebook page to get updated schedules.

Course Materials: Recommended Calculator is Casio fx-82 (current model). Graph paper (2 mm or 1 mm), Drawing Instruments, Drawing Compass, metric ruler (30 cm).

Note: Repeat lecture courses are free of charge within a 12 month time period.

Please make cheques payable to Dr Steven Holding. If you prefer to pay your course fees by internet banking, or direct deposit at a bank branch please contact Dr Steven Holding for the account details.

For further details please contact: Dr Steven Holding
Phone: 042 303 7474