LC_Maths_Hons_2020

Sean, Jul 8, 2020

Functions

Table of Contents

  1. Functions
    1. Domain and Range of Functions
    2. Domain & Range: Illustrated
    3. Vertical line test
    4. Vertical Line Test
    5. Vertical line test
    6. Copie de Vertical line test
    7. Vertical & Horizontal Line Test
    8. Horizontal line test
    9. Non-bijective functions and inverses
    10. Inverse functions
    11. Inverse Trig Functions: Intuitive Explorations
    12. Inverse Function
    13. Inverse Functions
    14. Inverse Trig Functions
    15. Graph the Line
    16. Make a Linear Function
    17. Graph of Linear function
    18. Quadratic Functions: Investigation
    19. The 3 forms of Quadratic functions
    20. Quadratic function-graph 1
    21. Shifts of quadratic Functions
    22. Completed square form of quadratic functions
    23. Cubic Coefficients
    24. General Cubic Function
    25. Graph Cubic Functions Using a Table of Values
    26. graph of a cubic function in different forms
    27. Behavior of Cubic Functions
    28. Quick Intercepts Illustrator
    29. Zeros of Polynomial Functions Solver
    30. Sketching Polynomials
    31. Multiplicity of Zeros of Polynomial Functions
    32. Graphing Exponential Functions
    33. Graphing Exponential Functions
    34. Function Transformations
    35. Function Transformations
    36. Transformations of functions
    37. Completing the Square
    38. Quiz: Completing the Square (1)
    39. Completing the Square Practice
    40. Coronavirus 2020: exponential growth
    41. Corona virus 1 02 2020
    42. Corona virus 29 01 2020
    43. Simple virus spreading model
    44. SIR model covid 19
    45. Simple SIR Model (based on Ben Sparks' “SIR Model”)
    46. Coronavirus Brazil
    47. US Cases and Deaths of Covid-19 Since 3/15/2020
    48. Flatten the curve (SIR model & social distancing)
    49. Exponential Growth: Bacteria Dividing
    50. Coronavirus 2020: exponential growth
  2. Trigonometry
    1. Pythagoras's Theorem
    2. Radians
    3. Radian Illustrator
    4. Radians in Unit Circle
    5. DEG to RAD and RAD to DEG Illustrator
    6. The Unit Circle
    7. Unit Circle - Tan Graph
    8. Sine rule - ambiguous case
    9. Cosine Rule - find an angle
    10. Cosine Rule - find a side
    11. Area of Sectors (Radians)
    12. Graphing Sine & Cosine Functions (I)
    13. Triangle Paradox (Missing square puzzle)

1.

Functions

  • 1. Domain and Range of Functions
  • 2. Domain & Range: Illustrated
  • 3. Vertical line test
  • 4. Vertical Line Test
  • 5. Vertical line test
  • 6. Copie de Vertical line test
  • 7. Vertical & Horizontal Line Test
  • 8. Horizontal line test
  • 9. Non-bijective functions and inverses
  • 10. Inverse functions
  • 11. Inverse Trig Functions: Intuitive Explorations
  • 12. Inverse Function
  • 13. Inverse Functions
  • 14. Inverse Trig Functions
  • 15. Graph the Line
  • 16. Make a Linear Function
  • 17. Graph of Linear function
  • 18. Quadratic Functions: Investigation
  • 19. The 3 forms of Quadratic functions
  • 20. Quadratic function-graph 1
  • 21. Shifts of quadratic Functions
  • 22. Completed square form of quadratic functions
  • 23. Cubic Coefficients
  • 24. General Cubic Function
  • 25. Graph Cubic Functions Using a Table of Values
  • 26. graph of a cubic function in different forms
  • 27. Behavior of Cubic Functions
  • 28. Quick Intercepts Illustrator
  • 29. Zeros of Polynomial Functions Solver
  • 30. Sketching Polynomials
  • 31. Multiplicity of Zeros of Polynomial Functions
  • 32. Graphing Exponential Functions
  • 33. Graphing Exponential Functions
  • 34. Function Transformations
  • 35. Function Transformations
  • 36. Transformations of functions
  • 37. Completing the Square
  • 38. Quiz: Completing the Square (1)
  • 39. Completing the Square Practice
  • 40. Coronavirus 2020: exponential growth
  • 41. Corona virus 1 02 2020
  • 42. Corona virus 29 01 2020
  • 43. Simple virus spreading model
  • 44. SIR model covid 19
  • 45. Simple SIR Model (based on Ben Sparks' “SIR Model”)
  • 46. Coronavirus Brazil
  • 47. US Cases and Deaths of Covid-19 Since 3/15/2020
  • 48. Flatten the curve (SIR model & social distancing)
  • 49. Exponential Growth: Bacteria Dividing
  • 50. Coronavirus 2020: exponential growth

1.1.

Domain and Range of Functions

Identify Domain and range of functions
– Sangeeta Gulati

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2.

Trigonometry

  • 1. Pythagoras's Theorem
  • 2. Radians
  • 3. Radian Illustrator
  • 4. Radians in Unit Circle
  • 5. DEG to RAD and RAD to DEG Illustrator
  • 6. The Unit Circle
  • 7. Unit Circle - Tan Graph
  • 8. Sine rule - ambiguous case
  • 9. Cosine Rule - find an angle
  • 10. Cosine Rule - find a side
  • 11. Area of Sectors (Radians)
  • 12. Graphing Sine & Cosine Functions (I)
  • 13. Triangle Paradox (Missing square puzzle)

2.1.

Pythagoras's Theorem

Move the green and blue sliders. What happens?
What is the relation of the areas of the green, blue and red squares?
– Judith Hohenwarter, Stephen Jull, Markus Hohenwarter

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