| CODE | AET1911 |
| TITLE | Pre-Calculus for Aviation (MATH111) |
| UM LEVEL | 01 - Year 1 in Modular Undergraduate Course |
| MQF LEVEL | 5 |
| ECTS CREDITS | 6 |
| DEPARTMENT | Institute of Aerospace Technologies |
| DESCRIPTION | A pre-calculus course designed for the student of aviation. Review of the fundamentals of algebra; linear equations; complex numbers; quadratic equations; variation; polynomial, rational, and trigonometric functions; radian measure; right triangle trigonometry; vectors; with optional logarithmic functions, exponential functions, and linear inequalities material. Study-unit Aims: Pre-Calculus for Aviation is required in the following degree programs: Aircraft Maintenance, Professional Aeronautics and Aeronautical Science. Its purpose is to provide students with the necessary algebra, geometry, and trigonometry required for the study of topics in aviation. Learning Outcomes: Upon course completion, students will be able to: 1. Use the basic properties of the real number system to perform algebraic operations including factoring, operations with fractions, exponents, and radicals; 2. Graph linear, quadratic, polynomial, and rational functions by using standard forms, symmetry, intercepts, asymptotes, and vertical and horizontal shifts; 3. Solve linear, quadratic, absolute value, rational, exponential, and logarithmic equations. Transpose formulas and solve verbal problems that require the use of these types of equations; 4. Solve linear inequalities and identify their solutions by using interval notation and graphs; 5. Use the distance, midpoint, point-slope-intercept formulas to solve problems involving line and line segments; 6. Solve verbal problems involving direct, inverse and joint variation; 7. Define function, domain, and range; and identify examples of each; 8. Graph exponential and logarithmic functions and solve word problems dealing with these functions; 9. Convert radians to degrees, degrees to radians and solve arc length problems using radians; 10. Define the six trigonometric functions and the fundamental trigonometric identities, and use them to find the values of various trigonometric functions; 11. Use the six trigonometric functions to solve right triangle problems, resolve vectors into rectangular components, and solve force and displacement problems using vectors; 12. Solve word problems by using linear systems of two equations; 13. Solve oblique triangle problems using the law of sines and the law of cosines. 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: 978-1323850688 Paperback and MyMathLab, 978-0134764733 MML access w/eText. Author: A. J. Washington, R. Evans. Publisher: Pearson. Textbook Note: These ISBN include a softbound copy of the custom textbook or an eText version 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. 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 purchasing through the MyLab link, do NOT choose the 18-week option as this will not give you enough access for more than one course. Be careful in choosing your plan because access starts from the purchase date and includes consecutive weeks/months even if you are not enrolled and/or active in a class. Note: 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. |
| ADDITIONAL NOTES | Worldwide Campus Prerequisites: Qualifying score on the ERAU Mathematics Skills Assessment or MATH 106. |
| 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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