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High School Maths for Data Science

If you are bothering how much mathematics you need to know to enjoy your journey in data science, then this list of topics will make you happy. This is basic high school mathematics which you must know to move ahead in Machine Learning, Deep Learning, NLP, Computer Vision, or any other specialized domain of AI. Without these basic concepts in place, you will be breaking your head against the hard wall and waste of a lot of time to understand how a particular algorithm is working and what miracle a specific algorithm is doing. Without understanding the algorithm you are implementing blindly, then it is like a mechanic fixing a car problem without knowing automobile engineering or improving car engine or car design.

Table of Contents

    Algebra I

    1. How to graph an ordered pair
    2. How to find the equation of a circle
    3. How to find the equation of a curve
    4. How to find x or y intercept
    5. How to find the endpoints of a line segment
    6. How to find the length of a line with distance formula
    7. How to find the midpoint of a line segment
    8. How to find out if lines are parallel
    9. How to find the equation of a parallel line
    10. How to find the slope of parallel lines
    11. How to find out if lines are perpendicular
    12. How to find the equation of a perpendicular line
    13. How to find the slope of a perpendicular line

    Algebra II

    1. Setting up Equations
    2. Simplifying Equations
    3. Solving Equations
    4. Setting up Expressions
    5. Simplifying Expressions
    6. Solving Inequalities
    7. Understanding Direct Proportionality
    8. Understanding Indirect Proportionality
    9. Understanding Mean, Median, and Mode
    10. Understanding Range
    11. Understanding Normal Distributions
    12. Understanding Z-Scores
    13. Identifying Variables and Relationships
    14. Using Box and Whisker Plots
    15. Using Scatter Plots
    16. Understanding Quartiles and Percentiles
    17. Understanding Standard Deviation
    18. Understanding Variance
    19. Understanding Domain and Range
    20. Understanding Functional Notations
    21. Understanding Inverse Functions
    22. Understanding Transformation
    23. Graphing Linear Functions
    24. Transformations of Linear Functions
    25. Understanding Vertical and Horizontal Lines
    26. Transformations of Polynomial Functions
    27. Understanding Polynomial Functions
    28. Finding the Center and Radius
    29. Graphing Circle Functions
    30. Understanding Circle Functions
    31. Understanding Parabolic Functions
    32. Factoring Polynomials
    33. Simplifying Polynomials
    34. Solving Non-Quadratic Polynomials
    35. Understanding Polynomials
    36. Completing the Square
    37. Finding Roots
    38. Solving Quadratic Inequalities
    39. Using the Quadratic Formula
    40. Simplifying and Expanding Quadratic Equations
    41. Understanding Quadratic Roots
    42. Understanding the Discriminant
    43. Using FOIL
    44. Simplifying Rational Expressions
    45. Solving Rational Equations and Inequalities
    46. Understanding Rational Expressions
    47. Graphing Absolute Value
    48. Solving Absolute Value Equations
    49. Understanding Absolute Value
    50. Understanding Addition and Subtraction
    51. Understanding Multiplication and Division
    52. Distributing Exponents
    53. Multiplying and Dividing Exponents
    54. Graphing Exponential Functions
    55. Solving Exponential Equations
    56. Understanding Asymptotes
    57. Understanding Fractional Exponents
    58. Understanding Negative Exponents
    59. Multiplying and Dividing Factorials
    60. Understanding Factorials
    61. Understanding Imaginary and Complex Numbers
    62. Using Expressions with Complex Numbers
    63. Multiplying and dividing Logarithms
    64. Using Logarithms with Exponents
    65. Solving Logarithmic Equations
    66. Using Natural Log and Log-Base-10
    67. Factoring Radicals
    68. Using Radicals with Elementary Operations
    69. Solving Radical Equations and Inequalities
    70. Expressing Radicals as Exponents
    71. Understanding Square Roots
    72. Understanding Arithmetic Series
    73. Understanding Geometric Sequences
    74. Understanding Sequences
    75. Understanding Number Lines
    76. Understanding Number Sets
    77. Understanding Real Numbers

    Calculus I — Derivatives

    1. Finding Regions of Concavity and Convexity
    2. Finding Regions of Increasing and Decreasing Value
    3. Finding Derivative at a Point
    4. Finding Derivative of a Function
    5. Finding Second Derivative of a Function
    6. Using the Chain Rule
    7. Understanding Derivatives of Exponents
    8. Understanding Derivatives of Sums, Quotients, and Products
    9. Understanding Derivatives of Trigonometric Functions
    10. Using Implicit Differentiation
    11. Conceptualizing Derivatives
    12. Understanding Integrals of Sums, Quotients, and Products
    13. Calculating Limits
    14. Identifying Absolute and Local Extrema
    15. Identifying Slope at a Point

    Calculus II — Integrals

    1. Finding First and Second Derivatives
    2. Understanding L’Hospital’s Rule
    3. Finding Definite Integrals
    4. Finding Indefinite Integrals
    5. Finding Integrals by Substitution
    6. Using Limits with Continuity
    7. Understanding Polar Coordinates
    8. Understanding Vector Calculations
    9. Understanding Vector Coordinates
    10. Applying Taylor Series
    11. Understanding Maclaurin Series
    12. Understanding Taylor Series

    Geometry

    1. How to find the angle of clock hands
    2. How to find the length of the diameter
    3. How to find the ratio of diameter and circumference
    4. How to find circumference
    5. How to find the area of a circle
    6. How to find the length of a radius
    7. How to find the angle for a percentage of a circle
    8. How to find the angle of a sector
    9. How to find the area of a sector
    10. How to find the length of an arc
    11. How to find the percentage of a sector from an angle
    12. How to find an angle in a hexagon
    13. How to find the area of a hexagon
    14. How to find the length of the diagonal of a hexagon
    15. How to find the perimeter of a hexagon
    16. How to find an angle of a line
    17. How to find an angle in a polygon
    18. How to find the area of a polygon
    19. How to find the length of a side of a polygon
    20. How to find the perimeter of a polygon
    21. How to find an angle in a pentagon
    22. How to find the area of a pentagon
    23. How to find the length of the diagonal of a pentagon
    24. How to find the length of the side of a pentagon
    25. How to find the perimeter of a pentagon
    26. How to find the area of a kite
    27. How to find the perimeter of kite
    28. How to find if quadrilaterals are similar
    29. How to find an angle in a parallelogram
    30. How to find the area of a parallelogram
    31. How to find the perimeter of a parallelogram
    32. How to find if rectangles are similar
    33. How to find the area of a rectangle
    34. How to find the length of the diagonal of a rectangle
    35. How to find the length of the side of a rectangle
    36. How to find the perimeter of a rectangle
    37. How to find if rhombuses are similar
    38. How to find the area of a rhombus
    39. How to find the perimeter of a rhombus
    40. How to find the area of a square
    41. How to find the length of the diagonal of a square
    42. How to find the length of the side of a square
    43. How to find the perimeter of a square
    44. How to find an angle in a trapezoid
    45. How to find the area of a trapezoid
    46. How to find the length of the side of a trapezoid
    47. How to find the perimeter of a trapezoid
    48. How to find an angle in an acute / obtuse triangle
    49. How to find if two acute / obtuse triangles are similar
    50. How to find the area of an acute / obtuse triangle
    51. How to find the height of an acute / obtuse triangle
    52. How to find the length of the hypotenuse of an acute / obtuse triangle
    53. How to find the length of the side of an acute / obtuse triangle
    54. How to find the perimeter of an acute / obtuse triangle
    55. How to find the area of an equilateral triangle
    56. How to find the height of an equilateral triangle
    57. How to find the length of the side of an equilateral triangle
    58. How to find the perimeter of an equilateral triangle
    59. How to find the area of a 45/45/90 right isosceles triangle
    60. How to find the length of the hypotenuse of a 45/45/90 right isosceles triangle : Pythagorean Theorem
    61. How to find the length of the side of a 45/45/90 right isosceles triangle
    62. How to find the perimeter of a 45/45/90 right isosceles triangle
    63. How to find an angle in an acute / obtuse isosceles triangle
    64. How to find the height of of an acute / obtuse isosceles triangle
    65. How to find the length of the side of of an acute / obtuse isosceles triangle
    66. How to find the perimeter of an acute / obtuse isosceles triangle
    67. How to find an angle in a right triangle
    68. How to find if right triangles are similar
    69. How to find the area of a right triangle
    70. How to find the length of the hypotenuse of a right triangle : Pythagorean Theorem
    71. How to find the length of the side of a right triangle
    72. How to find the perimeter of a right triangle

    Solid Geometry

    1. How to find the surface area of a cone
    2. How to find the volume of a cone
    3. How to find the diagonal of a cube
    4. How to find the length of an edge of a cube
    5. How to find the surface area of a cube
    6. How to find the volume of a cube
    7. How to find the surface area of a cylinder
    8. How to find the volume of a cylinder
    9. How to find the length of an edge of a prism
    10. How to find the surface area of a prism
    11. How to find the volume of a prism
    12. How to find the surface area of a polyhedron
    13. How to find the volume of a polyhedron
    14. How to find the surface area of a pyramid
    15. How to find the volume of a pyramid
    16. How to find the diameter of a sphere
    17. How to find the radius of a sphere
    18. How to find the surface area of a sphere
    19. How to find the volume of a sphere

    Pre-Algebra

    1. How to solve one-step equations with decimals in pre-algebra
    2. How to solve one-step equations with fractions in pre-algebra
    3. How to solve one-step equations with integers in pre-algebra
    4. How to solve two-step equations with decimals in pre-algebra
    5. How to solve two-step equations with fractions in pre-algebra
    6. How to solve two-step equations with integers in pre-algebra
    7. How to write an algebraic equation in pre-algebra
    8. How to do word problems where one quantity is unknown
    9. How to do word problems where two quantities are unknown
    10. How to find the area of a circle in pre-algebra
    11. How to find the area of a parallelogram in pre-algebra
    12. How to find the area of a rectangle in pre-algebra
    13. How to find the area of a square in pre-algebra
    14. How to find the area of a triangle in pre-algebra
    15. How to find the circumference of a circle in pre-algebra
    16. How to find the perimeter of a rectangle in pre-algebra
    17. How to find the perimeter of a square in pre-algebra
    18. How to find the perimeter of a triangle in pre-algebra
    19. How to find the volume of a cone in pre-algebra
    20. How to find the volume of a cylinder in pre-algebra
    21. How to find the volume of a pyramid in pre-algebra
    22. How to find the volume of a rectangular solid in pre-algebra
    23. How to find the volume of a sphere in pre-algebra
    24. How to graph a line in pre-algebra
    25. How to graph a point in pre-algebra
    26. How to identify a point in pre-algebra
    27. How to add and subtract integers in pre-algebra
    28. How to combine like terms with negative numbers in pre-algebra
    29. How to compare integers in pre-algebra
    30. How to define integers in pre-algebra
    31. How to do absolute value in pre-algebra
    32. How to multiply and divide integers in pre-algebra
    33. How to add and subtract polynomials in pre-algebra
    34. How to divide polynomials in pre-algebra
    35. How to use the power rule for exponents in pre-algebra
    36. How to use the product rule for exponents in pre-algebra
    37. How to multiply polynomials in pre-algebra
    38. How to solve a polynomial in pre-algebra
    39. How to combine like terms in pre-algebra
    40. How to do exponents in pre-algebra
    41. How to use the distributive property in pre-algebra
    42. How to use the order of operations in pre-algebra

    Pre-Calculus

    1. Solving Circle Functions
    2. Graphing Ellipses
    3. Graphing Hyperbolas
    4. Solving Hyperbola Functions
    5. Graphing Parabolic Functions
    6. Solving Parabola Functions
    7. Simplifying Exponential Functions
    8. Simplifying Logarithms
    9. Solving Logarithms
    10. Finding Asymptotes
    11. Finding Domain and Range
    12. Finding Maxima and Minima
    13. Finding Symmetries
    14. Finding Zeros of a Polynomial
    15. Simplifying Polynomial Functions
    16. Understanding Zeros of a Polynomial
    17. Finding Limits
    18. Finding Limits as X Approaches Infinity
    19. Finding One-Sided Limits
    20. Understanding the Definition of Limits
    21. Finding Partial Sums in a Series
    22. Finding Sums of Infinite Series
    23. Finding Terms in a Series
    24. Understanding Arithmetic and Geometric Series
    25. Using Sigma Notation

    Trigonometry

    1. Understanding Angles
    2. Understanding Angles in Different Quadrants
    3. Understanding Complementary and Suplmentary Angles
    4. Understanding Coterminal Angles
    5. Understanding Angles in the Unit Circle
    6. Understanding Radians and Conversions
    7. Using the Unit Circle
    8. Applying the Law of Cosines
    9. Applying the Law of Sines
    10. Applying Trigonometric Functions
    11. Understanding 30-60-90 Triangles
    12. Finding Sides
    13. Solving Trigonometric Equations
    14. Simplifying Trigonometric Functions
    15. Understanding Trigonometric Functions
    16. Understanding Period and Amplitude
    17. Using Basic and Definitional Identities
    18. Using Identities of Inverse Operations
    19. Using Identities of Squared Functions
    20. Using Pythagorean Identities
    21. Using Sum and Product Identities
    22. Understanding Arcsine, Arccosine, and Arctangent
    23. Understanding Secant, Cosecant, and Cotangent
    24. Understanding Sine, Cosine, and Tangent
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