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 pre-algebra, elements of geometry, plane trigonometry, and aviation practical applications.

Prerequisite(s): ICS 081  or MAT 086 or satisfactory score on the Mathematics assessment test.
Gen-Ed: Meets CTE - M&S.

1. Demonstrate proficiency performing basic math operations
2. Demonstrate proficiency performing power, root, and ratio calculations
3. Demonstrate proficiency performing area and volume calculations
4. Demonstrate proficiency performing aircraft weight and balance calculations

1. Review of Basic Math Operations (CLO 1, 2, 3, 8)
   1. Whole/signed numbers
      1. Add
      2. Subtract
      3. Multiply
      4. Divide
   2. Fractions
      1. Add
      2. Subtract
      3. Multiply
      4. Divide
   3. Decimals
      1. Add
      2. Subtract
      3. Multiply
      4. Divide
   4. Metric/English conversions
      1. Multiples and prefixes
      2. Conversion tables
   5. Proportions and ratios
      1. Aspect ratio
      2. Bonding adhesive mixture
      3. Proportion
   6. Formulas
   7. Percentages
      1. Determining a number which is a percentage of another
      2. Determining the percentage that one number is of another
      3. Finding the total number when part of the number and its percentage are known
   8. Aviation applications of basic math operations / weight and balance
      1. Terms and definitions
      2. Effective of CG to an aircraft
      3. Calculations
      4. Corrections
2. Charts and Graphs (CLO 7, 9)
   1. Pie charts
   2. Broken line graphs
   3. Bar graphs
   4. Continuous curve graphs
   5. Aviation applications of charts and graphs
3. Review of Pre-Algebra (CLO 4, 5)
   1. Order of operations
   2. Variables 
   3. Formulas
   4. Powers / raising a number to a given power
   5. Roots / extracting the root of a number
   6. Aviation applications of pre-algebra concepts / bend allowance
      1. Flat pattern layout
      2. Calculations
4. Elements of Geometry (CLO 6, 9)
   1. Angles
      1. Measurement
      2. Practical application
      3. Conversion
      4. Complement/supplement
   2. Measure of an area
      1. Area of a rectangle
      2. Areas of a square
      3. Area of a triangle
      4. Area of a parallelogram
      5. Area of a trapezoid
      6. Area of a circle
   3. Measure of volume
      1. Volume of a rectangle
      2. Volume of a cube
      3. Volume of a cylinder
      4. Volume of a sphere
   4. Triangles
      1. Types
      2. Pythagorean theorem
      3. Congruent
      4. Oblique
   5. Aviation applications of geometry
5. Plane Trigonometry (CLO 9)
   1. Right triangles
   2. Sine, cosine, and tangent
   3. Determining angles and sides
   4. Area and perimeter

Aviation applications of plane trigonometry