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TMAT 103

TMAT 103. Course Review. Chapter 1 – Fundamental Concepts. Real numbers Order of operations Operations with measurements Basic algebra Formulas Ratio / Proportion. Chapter 2 (Geometry Review) Appendix B (Metric System). Basic Geometry Metric system conversions.

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TMAT 103

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  1. TMAT 103 Course Review

  2. Chapter 1 – Fundamental Concepts • Real numbers • Order of operations • Operations with measurements • Basic algebra • Formulas • Ratio / Proportion

  3. Chapter 2 (Geometry Review) Appendix B (Metric System) • Basic Geometry • Metric system conversions

  4. Number Bases (not in book) • Bases • 2, 8, 10, and 16 • Conversions between bases • Arithmetic in a different base

  5. Chapter 3 – Trigonometry • Trig Ratios • sin & csc • cos & sec • tan & cot • Calculating values and inverse values • Solving right triangles

  6. Chapter 11 (Sections 4 – 7) – Vectors • Adding vectors • Graphically • Trigonometrically • Components of vectors • Applications

  7. Chapter 4 – Equations and Graphs • Functions • Graphing • Lines and Parabolas • Lines • Standard form • Point – slope form • Slope – intercept form • Parallel and Perpendicular

  8. Chapter 6 – Systems • System with 2 equations and 2 unknowns • Substitution • Addition / Subtraction (preferred method) • System with 3 equations and 3 unknowns

  9. Chapter 7 – Quadratic Equations • Solving • Factoring • Completing the square • Quadratic formula • Discriminant and its implications

  10. Chapter 14 (Section 1) – Complex Numbers • Imaginary unit • Arithmetic with complex numbers • Complex solutions to quadratic equations

  11. Chapter 19 – Statistics • Graphic Presentations • Frequency table • Histogram • Frequency Polygon • Central Tendency • Mean, Median, Mode • Dispersion • Range, Standard Deviation • Process Control • UCL, LCL within UTL and LTL

  12. Logic (not in book) • Logical operators (connectives) • NOT, AND, OR • Truth tables • Schematics

  13. Cryptography (not in book) • Coding techniques • Bacon’s code • Substitution code • Transposition code • Keyword columnar transposition • Processes • Encryption • Decryption

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