20222023 College Catalog [ARCHIVED CATALOG]

GTM 105V  Applied Technical Mathematics for Aviation 3 Credits, 3 Contact Hours 3 lecture periods 0 lab periods
Applied geometry and trigonometry operations. Includes review of basic math operations, charts and graphs, review of prealgebra, elements of geometry, plane trigonometry, and aviation practical applications.
Prerequisite(s): ICS 081 or MAT 086 or satisfactory score on the Mathematics assessment test. GenEd: Meets CTE  M&S.
Course Learning Outcomes
 Demonstrate proficiency performing basic math operations
 Demonstrate proficiency performing power, root, and ratio calculations
 Demonstrate proficiency performing area and volume calculations
 Demonstrate proficiency performing aircraft weight and balance calculations
Outline:
 Review of Basic Math Operations (CLO 1, 2, 3, 8)
 Whole/signed numbers
 Add
 Subtract
 Multiply
 Divide
 Fractions
 Add
 Subtract
 Multiply
 Divide
 Decimals
 Add
 Subtract
 Multiply
 Divide
 Metric/English conversions
 Multiples and prefixes
 Conversion tables
 Proportions and ratios
 Aspect ratio
 Bonding adhesive mixture
 Proportion
 Formulas
 Percentages
 Determining a number which is a percentage of another
 Determining the percentage that one number is of another
 Finding the total number when part of the number and its percentage are known
 Aviation applications of basic math operations / weight and balance
 Terms and definitions
 Effective of CG to an aircraft
 Calculations
 Corrections
 Charts and Graphs (CLO 7, 9)
 Pie charts
 Broken line graphs
 Bar graphs
 Continuous curve graphs
 Aviation applications of charts and graphs
 Review of PreAlgebra (CLO 4, 5)
 Order of operations
 Variables
 Formulas
 Powers / raising a number to a given power
 Roots / extracting the root of a number
 Aviation applications of prealgebra concepts / bend allowance
 Flat pattern layout
 Calculations
 Elements of Geometry (CLO 6, 9)
 Angles
 Measurement
 Practical application
 Conversion
 Complement/supplement
 Measure of an area
 Area of a rectangle
 Areas of a square
 Area of a triangle
 Area of a parallelogram
 Area of a trapezoid
 Area of a circle
 Measure of volume
 Volume of a rectangle
 Volume of a cube
 Volume of a cylinder
 Volume of a sphere
 Triangles
 Types
 Pythagorean theorem
 Congruent
 Oblique
 Aviation applications of geometry
 Plane Trigonometry (CLO 9)
 Right triangles
 Sine, cosine, and tangent
 Determining angles and sides
 Area and perimeter
Aviation applications of plane trigonometry
