• 1. Pythagorean theorem
• 2. Right triangle solutions
• 3. Trigonometric functions (sine, cosine, tangent)

– Algebra

• 1. Transposition of formulas
• 2. Ratio and proportion
• 3. Linear equations

– Geometry

• 1. Area, volume, and perimeter calculations
• 2. Properties of circles, angles, and triangles
• 3. Coordinate systems (polar, Cartesian)

– Basic Shop Math

• 1. Order of operations
• 2. Fractions, decimals, and percentages
• 3. Arithmetic operations (addition, subtraction, multiplication, division)

– Measurement Systems

• 1. Unit conversions
• 2. Metric (SI) and Imperial (U.S. Customary) units

• 1. Angular measurement
• 2. Gauge R&R (Repeatability and Reproducibility)
• 3. Linear and dimensional measurement
• 4. Thread measurement
• 5. Surface finish measurement

– Common Measurement Tools

• 1. Height gauges
• 2. Pin gauges, thread gauges, ring gauges
• 3. Calipers (dial, digital, vernier)
• 4. Micrometers (outside, inside, depth)
• 5. Dial indicators
• 6. Gauge blocks

– Special Measurement Equipment

• 1. Optical comparators (shadow graphs)
• 2. Coordinate Measuring Machines (CMM)
• 3. Surface plates and height standards
• 4. Thread measuring wires
• 5. Hardness testers

– Calibration

• 1. Out-of-calibration procedures
• 2. Traceability to national standards (NIST)
• 3. Calibration systems and schedules

• 1. Receiving Inspection
• 2. First Article Inspection (FAI)
• 3. In-Process Inspection (IPI)
• 4. Final Inspection

– Blueprint Reading

• 1. Symbols and abbreviations
• 2. Material and finish specifications
• 3. Drawing types and views
• 4. Dimensioning and tolerancing (GD&T basics)

– Sampling

• 1. OC curves
• 2. Sampling plans (ANSI/ASQ Z1.4, Z1.9)
• 3. AQL (Acceptable Quality Level)
• 4. Sampling concepts (lot, sample size)

– Nondestructive Testing (NDT)

• 1. Visual inspection
• 2. Liquid penetrant testing
• 3. Magnetic particle testing

• 1. Nonconforming product control
• 2. Corrective and Preventive Actions (CAPA)
• 3. 5 Whys, Fishbone diagrams
• 4. Material Review Board (MRB)

– Quality Basics

• 1. Quality management systems (ISO 9001 overview)
• 2. Customer-supplier relations
• 3. Cost of quality (prevention, appraisal, failure)

– Statistical Process Control (SPC)

• 1. Process capability (Cp, Cpk)
• 2. Variables and attributes data
• 3. Control charts (X-bar, R, p, c charts)

– Quality Audits and Documentation

• 1. Record keeping and traceability
• 2. Document control
• 3. Audit types (internal, external, product, process)