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This collection, created by the National Center for Optics and Photonics Education (OP-TEC), includes a textbook and related videos that cover essential mathematics for engineering technicians. The book "is a student review and study guide to help aspiring engineering technicians begin studies with adequate math skills." This book is intended to be used as a whole in non-credit classes, used piecemeal in a self-learning mode for student review, or used as a reference for math-based engineering technology classes. The following topics are covered: scientific notation, unit conversion, introductory algebra, powers and roots, ratio and proportion, exponents and logarithms, graphing in rectangular coordinates, geometry, angular measures in two and three dimensions, trigonometry, special graphs, sinusoidal motion, and complex numbers. A section is included for each topic and sections include learning objectives, basic concepts, practice exercises, and more. 

The Essential Mathematics eTextbook Video Clips (14).zip attachment includes 14 video clips and 14 video caption files. Video topics include evaluating expressions with scientific notation, engineering notation, using scientific notation on a calculator, the basics of units, formulas and symbols, order of operations, calculating powers with a calculator, solving expressions with exponents, reading a graph, trig functions on a calculator, and more. 

Below is a list of files contained within the .zip attachment. The size of each file is included in parenthesis.

Essential Mathematics eTextbook Video Clips (14) (30 files, 80.5 MB)

  • Evaluating Expressions with Scientific Notation Captions (OP-TEC_Essential_Math_eTextbookVideoClip_1.1_Evaluating_Expressions_with_Scientific_Notation_Captions.scc 2 KB)
  • Evaluating Expressions with Scientific Notation Captions (OP-TEC_Essential_Math_eTextbookVideoClip_1.1_Evaluating_Expressions_with_Scientific_Notation.mp4 4.8 MB)
  • Engineering Notation Captions (OP-TEC_Essential_Math_eTextbookVideoClip_1.2_Engineering_Notation_Captions.scc 1 KB)
  • Engineering Notation (OP-TEC_Essential_Math_eTextbookVideoClip_1.2_Engineering_Notation.mp4 3.7 MB)
  • Using Scientific Notation on a Calculator Captions (OP-TEC_Essential_Math_eTextbookVideoClip_1.3_Using_Scientific_Notation_on_a_Calculator_Captions.scc 3 KB)
  • Using Scientific Notation on a Calculator (OP-TEC_Essential_Math_eTextbookVideoClip_1.3_Using_Scientific_Notation_on_a_Calculator.mp4 7.1 MB)
  • The Basics of Units Captions (OP-TEC_Essential_Math_eTextbookVideoClip_2.1_The_Basics_of_Units_Captions.scc 2 KB)
  • The Basics of Units (OP-TEC_Essential_Math_eTextbookVideoClip_2.1_The_Basics_of_Units.mp4 6.5 MB)
  • Formulas and Symbols Captions (OP-TEC_Essential_Math_eTextbookVideoClip_3.1_Formulas_and_Symbols_Captions.scc 1 KB)
  • Formulas and Symbols (OP-TEC_Essential_Math_eTextbookVideoClip_3.1_Formulas_and_Symbols.mp4 3.3 MB)
  • Order of Operations Captions (OP-TEC_Essential_Math_eTextbookVideoClip_3.2_Order_of_Operations_Captions.scc 3 KB)
  • Order of Operations (OP-TEC_Essential_Math_eTextbookVideoClip_3.2_Order_of_Operations.mp4 6.9 MB)
  • Calculating Powers with a Calculator Captions (OP-TEC_Essential_Math_eTextbookVideoClip_4.1_Calculating_Powers_with_a_Calculator_Captions.scc 3 KB)
  • Calculating Powers with a Calculator (OP-TEC_Essential_Math_eTextbookVideoClip_4.1_Calculating_Powers_with_a_Calculator.mp4 7.4 MB)
  • Solving Expressions with Exponents Captions (OP-TEC_Essential_Math_eTextbookVideoClip_6.1_Solving_Expressions_with_Exponents_Captions.scc 912 B)
  • Solving Expressions with Exponents (OP-TEC_Essential_Math_eTextbookVideoClip_6.1_Solving_Expressions_with_Exponents.mp4 2.3 MB 2 KB)
  • The Cartesian Coordinate System Captions (OP-TEC_Essential_Math_eTextbookVideoClip_7.1_The_Cartesian_Coordinate_System_Captions.scc 2 KB)
  • The Cartesian Coordinate System (OP-TEC_Essential_Math_eTextbookVideoClip_7.1_The_Cartesian_Coordinate_System.mp4 9.1 MB)
  • Reading a Graph Captions (OP-TEC_Essential_Math_eTextbookVideoClip_7.2_Reading_a_Graph_Captions.scc 1 KB)
  • Reading a Graph (OP-TEC_Essential_Math_eTextbookVideoClip_7.2_Reading_a_Graph.mp4 3.9 MB)
  • Angle Measures in Degrees and Radians Captions (OP-TEC_Essential_Math_eTextbookVideoClip_9.1_Angle_Measures_in_Degrees_and_Radians_Captions.scc 1 KB)
  • Angle Measures in Degrees and Radians (OP-TEC_Essential_Math_eTextbookVideoClip_9.1_Angle_Measures_in_Degrees_and_Radians.mp4 4.9 MB)
  • Right Triangles and Trigonometric Ratios Captions (OP-TEC_Essential_Math_eTextbookVideoClip_10.1_Right_Triangles_and_Trigonometric_Ratios_Captions.scc 3 KB)
  • Right Triangles and Trigonometric Ratios (OP-TEC_Essential_Math_eTextbookVideoClip_10.1_Right_Triangles_and_Trigonometric_Ratios.mp4 9.6 MB)
  • Inverse Tangent Caption (OP-TEC_Essential_Math_eTextbookVideoClip_10.2_Inverse_Tangent_Caption.scc 2 KB)
  • Inverse Tangent (OP-TEC_Essential_Math_eTextbookVideoClip_10.2_Inverse_Tangent.mp4 5.1 MB)
  • Trig Functions on a Calculator Captions (OP-TEC_Essential_Math_eTextbookVideoClip_10.3_Trig_Functions_on_a_Calculator_Captions.scc 2 KB)
  • Trig Functions on a Calculator (OP-TEC_Essential_Math_eTextbookVideoClip_10.3_Trig_Functions_on_a_Calculator.mp4 5.4 MB)
  • (Thumbs.db 319 KB)
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