Mathematics is woven into many areas of everyday life. Performing mathematical calculations with success requires an understanding of the correct methods, procedures, practice, and review of these principles. Mathematics may be thought of as a set of tools. The aviation mechanic needs these tools to successfully complete the maintenance, repair, installation, or certification of aircraft equipment.

Many examples of using mathematical principles by the aviation mechanic are available. Tolerances in turbine engine components are critical, making it necessary to measure within a ten-thousandth of an inch. Because of these close tolerances, it is important that the aviation mechanic can make accurate measurements and mathematical calculations. An aviation mechanic working on aircraft fuel systems also uses mathematical principles to calculate volumes and capacities of fuel tanks. The use of fractions and surface area calculations are required to perform sheet metal repair on aircraft structures.

- Computing Volume of Three-Dimensional Solids (Part Three) Cylinder
- Computing Volume of Three-Dimensional Solids (Part Four) Sphere
- Computing Volume of Three-Dimensional Solids (Part Five) Cone
- Computing Surface Area of Three-dimensional Solids
- Trigonometric Functions (Part One)
- Trigonometric Functions (Part Two) Pythagorean Theorem
- Measurement Systems
- The Binary Number System
- Mathematics in Aviation Maintenance
- Whole Numbers and Fractions
- Mixed Numbers
- The Decimal Number System – Addition, Subtraction and Multiplication
- The Decimal Number System – Division, Rounding and Conversion
- Algebra
- Algebra – Use of Parentheses
- Computing Area of Two-dimensional Solids – Rectangles and Squares
- Computing Area of Two-dimensional Solids – Triangles
- Computing Area of Two-dimensional Solids – Parallelograms and Trapezoids
- Computing Area of Two-dimensional Solids – Circles and Ellipses
- Computing Area of Two-dimensional Solids – Wing Area
- Ratios
- Proportion
- Percentages
- Positive and Negative Numbers (Signed Numbers)
- Powers
- Roots
- Functions of Numbers Chart
- Scientific Notation
- Computing Volume of Three-Dimensional Solids (Part One) Rectangular Solid
- Computing Volume of Three-Dimensional Solids (Part Two) Cube