| CODE | AET1912 |
| TITLE | Applied Calculus for Aviation (MATH112) |
| UM LEVEL | 01 - Year 1 in Modular Undergraduate Course |
| MQF LEVEL | 5 |
| ECTS CREDITS | 6 |
| DEPARTMENT | Institute of Aerospace Technologies |
| DESCRIPTION | Basic calculus designed for the student of aviation. Differentiation and integration of algebraic functions; applications to velocity, accelerations, area, curve sketching and computation of extreme values. Study-unit Aims: The course is designed to provide the Aeronautical Science, Aircraft maintenance and Professional Aeronautics student with an understanding of basic differential and integral calculus as a mathematics foundation for further work in their degree program. It is also intended that the student gain insight into some of the problem-solving techniques used in modern science and technology. Learning Outcomes: Upon course completion, students will be able to: 1. Identify basic functions from their graphs and evaluate limits from graphs and from algebraic expressions; 2. Find the derivative of a product, a quotient, a composite, and an implicit function; 3. Use the derivative to find tangent lines and interpret tangent slope as a rate of change. Apply rate-of change concepts to problems involving straight line motion; 4. Use calculus to solve applied optimization problems; 5. Analyze graphs of polynomial functions using the derivative as tool; 6. Find the antiderivative of a function. Use these techniques to manipulate indefinite integrals; 7. Compute the area under a curve using approximate and exact methods. Interpret area for various functions arising in the field of Aeronautical Science; 8. Using integration, derive the equations of motion. Given initial conditions find the velocity and displacement equations. Further information is available to students on the ERAU platform. Main Text/s and any supplementary readings: Required Course Materials Basic Technical Mathematics with Calculus. Edition: 11th. Year: 2018. ISBN: 1323850688. Author: A. J. Washington, R. Evans. Publisher: Pearson Textbook Note: This ISBN includes a softbound copy of the custom textbook and the MyMathLab access card. Access to MyMathLab and digital textbook could be purchased (without physical textbook) through the Canvas course. If you choose to purchase the textbook separately, you will need to purchase the MyMathLab component separately. Notes: If you purchased this 11th edition custom textbook and MyMathLab code for the AET1911 August 2018 term or later, you can use them for the AET1912 course. Otherwise, you need to purchase this textbook. The custom textbook contents are contained in the Pearson ISBN: 1323850688. If you choose to purchase the textbook separately, you will need to purchase the MyMathLab component separately. The MyMathLab (MML) access card is a required component for this course. If you do not have it, go to the Course Specific Information module of this course for ordering information. Access to MyMathLab – including the digital textbook – can be purchased (without a physical textbook being sent to you) through the “MyLab & Mastering” link in the Canvas course Navigation Bar. A 14-day free trial is available. If your access has an expiration date prior to the end of this course, make arrangements with your instructor to complete all MyLab assignments before your expiration date. Students are required to have a calculator – handheld or virtual. Graphing calculators are not necessary for this course but would be useful (TI-83, TI-84, or equivalent are recommended). A scientific calculator that offers the trigonometric functions of SIN, COS, and TAN will suffice in this course. Whatever calculator you select, be sure that you know how to use it as this will minimize mistakes and frustration. Suggested Course Materials Publication Manual of the American Psychological Association. Edition: 6th. Year: 2010. ISBN: 978-1-4338-0561-5. Author: American Psychological Association. Publisher: American Psychological Association. Note: For further information, see the APA website. |
| ADDITIONAL NOTES | Worldwide Campus Prerequisite: AET1911 or MATH 140 or qualifying score on the mathematics skills assessment |
| STUDY-UNIT TYPE | Online Learning |
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The University makes every effort to ensure that the published Courses Plans, Programmes of Study and Study-Unit information are complete and up-to-date at the time of publication. The University reserves the right to make changes in case errors are detected after publication.
The availability of optional units may be subject to timetabling constraints. Units not attracting a sufficient number of registrations may be withdrawn without notice. It should be noted that all the information in the description above applies to study-units available during the academic year 2023/4. It may be subject to change in subsequent years. |
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