Aviation Mathematics I
Dr. Diana S. Perdue
Office: Point Lisas TB 141
Phone: 642-8888 ext 32402
I will make every effort to ensure that your experience of aviation mathematics is meaningful and pertinent to your professional goals. In return, please take the time to read this syllabus carefully and contact me if you have any questions. I will usually respond to emails within 24 hours, but I am slower on the weekends. If I do not respond to your message within 24 hours assume I did not get your email.
Main Course Goals
- Present and describe data using various numerical and graphical procedures.
- Solve problems in aviation mathematics using appropriate technology, translating problems from one form to another, using various problem-solving strategies.
- To display teamwork, leadership, and technical skills in solving and explaining aviation-related problems.
- To demonstrate critical thinking and communication skills in a variety of human-interaction situations.
Stuff you'll need
- Access to your UTT email account so you can enroll in our course on Canvas. Canvas is the online learning management system for UTT and students will use it for access to course materials and for completing and submitting assignments. Canvas Course ID: MATH1036_DP_PL_T2_16
- Join Remind 101. Remind is how we'll communicate outside of class (group text). Link for our class: remind.com/join/aviationm
- Our textbook: EASA (2013). Mathematics for Aircraft Maintenance. Tabernash, CO: Aircraft Technical Book Co. (w/ avail CD ROM & PDF) www.actechbooks.com
- A graphing calculator: the TI-84+ is recommended, but you may also use an online version like Desmos. Note: a cell phone calculator does not meet the course requirement
- Each student will need a flash-drive to save course material from Canvas, a set of basic tools (notebooks, pen / pencil, ruler, …), and access to a computer with Internet access for web-based assignments and E-mail.
Areas of Study
Topics we discuss will include:
- Linear and Quadratic Equations and Functions
- Polynomial Functions
- Exponential and
- Complex Numbers
By Enrolling in this class:
- You agree to uphold the standards of academic integrity described in the Student Handbook
- You agree to spend an average of 6 hours per week on assignments outside of class.
- You agree to complete all readings and related assignments on time.
- You agree to be available for the exam dates listed. There are no make-up exams unless and legitimate emergency occurs and I am notified immediately
Points are earned through a variety of learning activities assigned throughout the semester. The total number of points earned will determine your course grade.
- 86-100% is an A
- 75-85% is a B
- less than 75% is an F.
Policy on Late Work
All online posts and assignments must be submitted no later than noon on the date indicated in the course schedule. In general, late work is not accepted (this includes exams). Expectations and due dates are made very clear and if you encounter unexpected circumstances, it is your responsibility to contact the professor to request an option to complete the work before the due date.
Course Schedule Term 2 2015
Topics & Assignments
- (week 1) Jan. 11 Course Introduction & Mathematical Terms / Signs / Symbols
- (week 2) Jan. 18 Arithmetic: Fractions, Decimals, Factors, Multiples
- (week 3) Jan. 25 Arithmetic: Weights, Measures, Conversion Factors
- (week 4) Feb. 1 Arithmetic: Ratios, Proportions, Averages, Percentages
- (week 5) Feb. 8 Carnival (!)
- (week 6) Feb. 15 Arithmetic: Areas, Volumes, Squares, Cubes, Roots
- (week 7) Feb. 22 Algebra: Evaluate Expressions / Equations; Order of Operations
- (week 8) Feb. 29 Algebra: Linear Equations, Functions
- (week 9) Mar. 7 Number Theory: Indices & Powers, Binary and Other Number Systems
- (week 10) Mar. 14 Algebra: Quadratic Functions, Logarithmic / Exponential Functions
- (week 11) Mar. 21 Algebra: Identify, Create, and Use Graphs of Equations / Functions;
- (week 12) Mar. 28 Trigonometry / Geometry: Solve triangle problems
- Apr. 2 Classes End
- Apr. 4 -5 Study Days
- Apr 6 - 20 Final Exams
is the responsibility of students and instructors to help maintain scholastic
integrity at the University by refusing to participate in or tolerate
UTT has a zero tolerance policy
towards academic dishonesty.
‘Academic Dishonesty’ constitutes
any misrepresentation by deception
or by other fraudulent means. Commission of any
of the following acts shall constitute scholastic dishonesty. This listing is not exclusive of any other
acts that may reasonably be said to constitute scholastic dishonesty: plagiarism, collusion, falsification, replication, impersonation, unauthorized notes or communication, any other acts of compromise.
Students who are found guilty of scholastic dishonesty will be subject to appropriate penalties, which may include receiving a failing grade on the assignment or receiving a failing grade for the course as well as any other consequences listed in the Student Code of Conduct.
Upon completion of this course you will be able to:
- Use the basic properties of the real number system to perform algebraic operations including factoring, operations with fractions, exponents and radicals.
- Solve linear, quadratic, absolute value, rational, exponential, and logarithmic equations.
- Transpose formulas and solve verbal problems that require the use these types of equations.
- Solve linear inequalities and identify their solutions by using interval notation and graphs.
- Use the distance, midpoint, point-slope-intercept formulas to solve problems involving line and line segments.
- Solve verbal problems involving direct, inverse and joint variation.
- Define function, domain and range; and identify examples of each.
- Graph linear, quadratic, polynomial and rational functions by using standard forms, symmetry,intercepts, asymptotes, and vertical and horizontal shifts.
- Graph exponential and logarithmic functions and solve word problems dealing with these functions.
- Convert radians to degrees, degrees to radians and solve arc length problems using radians.
- Define the six trigonometric functions and the fundamental trigonometric identities, and usethem to find the values of various trigonometric functions.
- Use the six trigonometric functions to solve right triangle problems, resolve vectors intorectangular components, and solve force and displacement problems using vectors.
- Solve word problems by using linear systems of equations.
- Solve oblique triangle problems using the Law of Sines and the Law of Cosines.
- Analyze and interpret data.