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Technical Mathematics SJDC 1

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Technical Mathematics SJDC 1

This Technical Math course develops the computational, analytical, and problem-solving skills needed in many CTE (Career Technical Education) programs. Topics include number sense, ratios, percentages and proportional reasoning, measurement and geometry, trigonometric applications and an introduction to vectors. Emphasis is placed on critical thinking and skilled-trade applications. (CSU)

Mathematics
Author
Jacquelynn Schwegel
Publisher
San Joaquin Delta College
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 60 sections
  1. 01: Review of Arithmetic
  2. 1.01: Place Value
  3. 1.02: Rounding Numbers
  4. 1.03: Negative Numbers
  5. 1.04: Decimals
  6. 1.05: Fractions
  7. 1.06: Order of Operations
  8. 1.07: Evaluating Algebraic Expressions and Formulas
  9. 02: Solving Equations
  10. 2.01: The Language of Algebra
  11. 2.02: Solving Equations with Addition and Subtraction Properties of Equality
  12. 2.03: Solving Equations with the Division and Multiplication Properties of Equality
  13. 2.04: Solving Equations with Variables and Constants on Both Sides
  14. 2.05: Solving Equations with Fractions or Decimals
  15. 2.06: General Strategy to Solve Linear Equations
  16. 2.07: Solving a Formula for a Specific Variable
  17. 03: Proportions and Variation
  18. 3.01: Ratios Rates Proportions
  19. 3.02: Applications of Proportionality
  20. 3.03: Direct and Inverse Variation
  21. 04: Percent
  22. 4.01: Basic Percent Problems
  23. 4.02: Percents in the Real World
  24. 4.03: Percent Increase or Decrease
  25. 05: Units of Measure and Converting Units
  26. 5.01: Scientific and Engineering Notation
  27. 5.02: Accuracy and Significant Figures
  28. 5.03: The US Measurement System
  29. 5.04: Converting Units of Measure Dimensional Analysis
  30. 5.05: The Metric System
  31. 5.06: Converting Between Systems
  32. 5.07: Conversions with Time Rate Area and Volume
  33. 06: Geometry
  34. 6.01: Polygons
  35. 6.02: Pythagorean Theorem for Right Triangles
  36. 6.03: Perimeter and Circumference
  37. 6.04: Area of Polygons and Circles
  38. 6.05: Composite Figures
  39. 6.06: Volume of Common Solids
  40. 07: Trigonometry
  41. 7.01: Angles
  42. 7.02: Triangles
  43. 7.03: Introduction to Right Triangle Trigonometry
  44. 7.04: Right Triangle Trigonometry in the Real World
  45. 7.05: Power and Impedance Triangles - An Elelctrical Example
  46. 08: Vectors
  47. 8.01: Angles in Standard Position
  48. 8.02: Trigonometric Functions of Any Angle
  49. 8.03: Introduction to Vectors
  50. 8.04: Vector Operations
  51. 8.05: Vector Addition in the Real World - Electrical Application
  52. 09: Sinusoidal Models
  53. 9.01: Periodic Behaviors in the Real World
  54. 9.02: Sinusoidal Graphs
  55. 9.03: More Sinusoidal Modeling
  56. 9.04: Sinusoidal Models (Exercises)
  57. 9.05: AC Waveform - An Electrical Application
  58. 10: Law of Sines and Cosines
  59. 10.01: Non-right Triangles - Law of Sines
  60. 10.02: Non-right Triangles - Law of Cosines