• Algebra
  • Trigonometry
  • Calculus
  • Physics
  • Quantum Physics

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  • Algebra

    1. Approaching Math Problems
    2. Approaching Word Problems
    3. Roots and Powers
    4. Rules for Powers
    5. Reducing Fractions
    6. Adding Fractions
    7. Multiply Fractions
    8. Complex Fractions
    9. Solving and Graphing Inequalities
    10. Absolute Value Equalities
    11. Foiling Example 1
    12. Foiling Example 2
    13. Foiling Example 3
    14. Foiling Example 4
    15. Foiling Example 5
    16. Determining Polynomial Degree
    17. Keeping Track of FOILed Terms
    18. Factoring Out Quantities Unit 1
    19. Factoring Out Quantities Unit 2
    20. Factoring Out Quantities Unit 3
    21. Factoring Polynomials Example 2
    22. Factoring Polynomials Example 3
    23. Adding Polynomials
    24. Logarithms Part 1
    25. Logarithms Part 2
    26. Logarithms Part 3
    27. Logarithms Part 4
    28. Evaluating Logs Example 1
    29. Evaluating Logs Example 2
    30. Logarithmic Equalities Example 1
    31. Logarithmic Equalities Example 2
    32. Half Life Problem Part 1
    33. Half Life Problem Part 2
    34. Complex Numbers Example 1
    35. Complex Numbers Example 2
    36. Complex Numbers Example 3
    37. What’s a Function?
    38. Domain and Range
    39. Types of Slopes
    40. Graphing Lines Example 1a
    41. Graphing Lines Example 1b
    42. Graphing Lines Example 2a
    43. Graphing Lines Example 2b
    44. Solving for Lines
    45. Finding x and y Intercepts
    46. Must know Graphs Part 1
    47. Must know Graphs Part 2
    48. Zeroes of a Function Example 1
    49. Zeroes of a Function Example 2
    50. Zeroes of a Function Example 3
    51. Finding Zeroes of Cubic Functions
    52. Solving Equations by Graphing
    53. Shifting Graphs Up or Down
    54. Shifting Graphs Left or Right
    55. Odd or Even? Part 1
    56. Odd or Even? Part 2
    57. Composite Functions Unit 1
    58. Composite Functions Unit 2
    59. Composite Functions Unit 3
    60. Inverse Functions
    61. Inverse Functions Example 1
    62. Inverse Functions Example 2
    63. Inverse Functions Example 3
    64. Vertical Asymptotes
    65. Horizontal Asymptotes
    66. Vertex Formula
    67. Ellipse Centered at Origin
    68. Ellipse Centered at (h,k)
    69. Quadratic Formula Unit 1
    70. Quadratic Formula Unit 2
    71. How to Avoid the Quadratic Formula
    72. Matrix Method for Solving Equations
    73. Matrix Method Example
    74. Selling a Watch for a Loss
    75. Sales Tax Trick for a Dress
    76. Origin of the Sales Tax Trick

  • Trigonometry

    1. Intro to Trigonometry
    2. Pythagorean Theorem Derived
    3. Pythagorean Theorem Example 1
    4. Pythagorean Theorem Example 2
    5. Distance Formula Part 1
    6. Distance Formula Part 2
    7. Pi’s Radians
    8. Deriving the Area of a Circle
    9. Pi determined to any desired precision
    10. Deriving the Area of a Sphere
    11. Deriving the Volume of a Sphere
    12. Origin of the Sine Function Part 1
    13. Origin of the Sine Function Part 2
    14. Origin of the Cosine Function Part 1
    15. Origin of the Cosine Function Part 2
    16. Origin of the Tangent Function Part 1
    17. Origin of the Tangent Function Part 2
    18. Unit Circle
    19. SOHCAHTOA
    20. Shadow Trick for Trig
    21. Trig Function Applications
    22. Trigonometric Identities
    23. Converting Angles Part 1
    24. Converting Angles Part 2
    25. Special Angles
    26. Similar Triangles
    27. Approach to Word Problems
    28. Finding the width of a River
    29. Law of Cosines
    30. The Rest of Trig

  • Calculus

    1. The Numerical Derivative
    2. The Derivative as a Function
    3. Functional Derivatives Part 1
    4. Functional Derivatives Part 2
    5. Functional Derivatives Part 3
    6. Functional Derivatives Part 4
    7. Instantaneous Velocity
    8. Functional Derivative Caveats
    9. Curious Relationships for Circles and Spheres
    10. Tangent Line Approximations Part 1
    11. Tangent Line Approximations Part 2
    12. Slope Producing Formula Unit 1
    13. Slope Producing Formula Unit 2
    14. Slope Producing Formula Unit 3
    15. Slope Producing Formula Unit 4
    16. Derivative Interpretations
    17. Finding Signs of F’ & F”
    18. 2nd Derivatives
    19. Inflection Points
    20. Tricky Slope Problem
    21. Chain Rule
    22. Chain Rule Example 1
    23. Chain Rule Example 2
    24. Chain Rule Example 3
    25. Product Rule
    26. Product Rule Unit 1
    27. Product Rule Unit 2
    28. Product Rule Unit 3
    29. Product Rule Unit 4
    30. Product Rule Unit 5
    31. Product Rule Unit 6
    32. Product Rule Unit 7
    33. Quotient Rule
    34. Quotient Rule Example 1
    35. Quotient Rule Example 2
    36. Quotient Rule Example 3
    37. L’Hopital’s Rule
    38. Implicit Derivatives Unit 1
    39. Implicit Derivatives Unit 2
    40. Taylor Series Unit 1
    41. Taylor Series Unit 2
    42. Numerical Integrals Part 1
    43. Numerical Integrals Part 2
    44. Numerical Integrals Part 3
    45. Fundamental Theorem of Calculus
    46. Definite Integrals Unit 1
    47. Definite Integrals Unit 2
    48. Indefinite Integrals Unit 1
    49. Indefinite Integrals Unit 2
    50. Indefinite Integrals Unit 3
    51. Integration by Parts Formula Derived
    52. Integration by Parts Unit 1
    53. Integration by Parts Unit 2
    54. Integration by Parts Unit 3
    55. Equation for the Area of a Circle
    56. Determining Pi
    57. Surface Area of a Sphere
    58. Volume of a Sphere
    59. Integral Applications
    60. Electric Field Application
    61. Function Average over Interval
    62. Improper Integrals
    63. Improper Integrals Unit 1a
    64. Improper Integrals Unit 1b
    65. Improper Integrals Unit 2
    66. Fourier Series Part 1
    67. Fourier Series Part 2
    68. Fourier Series Part 3
    69. Fourier Series Part 4
    70. Fourier Series Part 5
    71. Fourier Series Part 6
    72. Fourier Series Part 7
    73. Fourier Series Part 8a
    74. Fourier Series Part 8b
    75. Differential Equations

  • Physics

    1. Conversion Factors Part 1
    2. Conversion Factors Part 2
    3. Average Speed vs Average Velocity
    4. Instantaneous Velocity
    5. Area Under the Velocity Curve
    6. Kinematic Equations Derived
    7. Intuitive Feel for the Kinematic Equations
    8. 1-D Translational Motion Unit 1
    9. 1-D Translational Motion Unit 2
    10. 1-D Translational Motion Unit 3
    11. 1-D Translational Motion Unit 4
    12. 1-D-Translational Motion Unit 5
    13. 1-D Translational Motion Unit 6
    14. Tossing Pennies off Empire State Building
    15. Falling Motion – Dropping Water Balloons
    16. 1-D Projectile Motion – Deviant Throwing Baseballs
    17. 1-D Projectile Motion – Prison Break
    18. 1-D Projectile Motion Unit 3
    19. 1-D Projectile Motion Unit 4
    20. Rocket Propulsion Kinematics
    21. Vectors Unit 1
    22. Vectors Unit 2
    23. Vectors Unit 3
    24. Adding Vectors Unit 1a
    25. Adding Vectors Unit 1b
    26. Adding Vectors Unit 2a
    27. Adding Vectors Unit 2b
    28. 3-D Vector Functions
    29. 3-D Vector Magnitude and Direction
    30. Vector Dot Product
    31. 2-D Projectile Motion Explained
    32. 2-D Projectile Motion Cookbook
    33. 2-D Projectile Motion Unit 1
    34. 2-D Projectile Motion Unit 2
    35. 2-D Projectile Motion Unit 3
    36. 2-D Projectile Motion Unit 4
    37. 2-D Projectile Motion Unit 5
    38. Uniform Circular Motion Unit 1
    39. Uniform Circular Motion Unit 2
    40. Uniform Circular Motion Unit 3
    41. Uniform Circular Motion Unit 4
    42. 1-D Relative Motion Unit 1
    43. 1-D Relative Motion Unit 2
    44. 2-D Relative Motion
    45. Newton’s 1st Law
    46. Newton’s 2nd Law
    47. Newton’s 3rd Law
    48. Newton’s Vectors
    49. Astronauts pushing on asteroid part 1
    50. Astronauts pushing on asteroid part 2
    51. Decelerating Race Car
    52. 2-D Projectile Motion – Moon Rover Canon
    53. Elevator going up
    54. Elevator going down
    55. Atwood Machine
    56. Blocks with Inclined Plane and Pulley (Part 1)
    57. Blocks with Inclined Plane and Pulley (Part 2)
    58. Three Blocks Connected by Strings
    59. Two blocks accelerating together example 1
    60. Two blocks accelerating together example 2
    61. Ball Hanging from Ceiling of Boxcar Part 1
    62. Ball Hanging from Ceiling of Boxcar Part 2
    63. Feynman on an Icy Hill Part 1 (Accelerating Up)
    64. Feynman on an Icy Hill Part 2 (Static Cases)
    65. Feynman on an Icy Hill Part 3 (Accelerating Down)
    66. Action/Reaction Example
    67. Centripetal Forces Example 1a
    68. Centripetal Forces Example 1b
    69. Centripetal Forces Example 2
    70. Centripetal Forces Example 3
    71. Spider on a Rotating Fan Blade
    72. Block on Vertical Wall with Friction Example 1
    73. Block on Vertical Wall with Friction Example 2
    74. Block Pulled along Rough Surface Example 1
    75. Block Pulled along Rough Surface Example 2
    76. Block pushed down at angle with friction
    77. Blocks connected by string that runs over a pulley (friction)
    78. The Drag Force
    79. Sky Diving at Terminal Velocity
    80. Positive vs Negative Work Unit 1
    81. Positive vs Negative Work Unit 2
    82. Gravitational Potential Energy Unit 1
    83. Gravitational Potential Energy Unit 2
    84. Elastic Potential Energy Unit 1
    85. Elastic Potential Energy Unit 2
    86. Work Energy Part 1
    87. Work Energy Part 2
    88. Work Energy Part 3
    89. Conservation of Energy Part 1
    90. Conservation of Energy Part 2
    91. Conservation of Energy Part 3
    92. Energy Methods
    93. Power Part 1
    94. Power Part 2
    95. Center Of Mass in 1-D
    96. Center of Mass in 2-D
    97. Center of Mass in 3-D
    98. Center of Mass in Motion
    99. Impulse and Momentum Part 1
    100. Impulse and Momentum Part 2
    101. Impulse Homerun
    102. Conservation of Momentum
    103. Conservation of Linear Momentum
    104. Coefficient of Restitution
    105. Elastic vs Inelastic Collisions
    106. Elastic Collisions in 1-D
    107. Elastic Collisions in 2-D
    108. Inelastic Collisions in 1-D
    109. Inelastic Collisions in 2-D Part 1
    110. Inelastic Collisions in 2-D Part 2
    111. Bullet embedded into Pendulum
    112. Rotational Kinematic Equations Part 1
    113. Rotational Kinematic Equations Part 2
    114. Rotational Kinematics Unit 1
    115. Rotational Kinematics Unit 2
    116. Rotational Kinematics Unit 3
    117. Rotational Kinematics Unit 4
    118. Rotational Kinematics Unit 5
    119. Torque Explained a Scalar Quantity
    120. Direction and Sign Convention for Torque
    121. Torque Example with Newton’s 2nd Law
    122. Forces act at angles to produce torque part 1
    123. Forces acting at angles part 2 – Intuitive Approach to Torque
    124. Torque and the cross product
    125. Torque Determinants
    126. Statics Unit 1
    127. Statics Unit 2
    128. Statics Unit 3
    129. Statics Unit 4
    130. Statics Unit 5
    131. Statics Unit 6
    132. Statics Unit 7
    133. Statics Unit 8
    134. Moment of Inertia and Kinetic Energy
    135. Proof of Newton’s 2nd Law in Angular Form
    136. Intuitive feel for Moment of Inertia
    137. Rotational Kinetic Energy Example
    138. Deriving the Moment of Inertia Equation for a Rod
    139. Parallel Axis Theorem Demonstrated
    140. Parallel Axis Theorem Example
    141. Rotational Kinetic Energy Example
    142. Rotational Work-Energy Unit 1
    143. Rotational Work-Energy Unit 2
    144. Rotational Work-Energy Unit 3
    145. Rotational Work-Energy Unit 4
    146. Rotational Power
    147. Rolling Motion Unit 1
    148. Rolling Motion Unit 2
    149. Rolling Motion Conceptual Test Questions
    150. Kinetic Energy of Rolling Motion
    151. Rotational Kinetic Energy of a Thin Rod
    152. Rotational Kinetic Energy of a Hammer
    153. Rotation and the Right Hand Rule
    154. Angular Momentum Defined
    155. Angular Momentum as r cross p
    156. Angular Momentum Example
    157. Angular Momentum for a System of Particles
    158. Spin Angular Momentum Example
    159. Spin Angular Momentum Intuition
    160. Spin Angular Momentum Intuition Demonstrated
    161. Impulse-Momentum Equation for Rotation Derived Part 1
    162. Impulse-Momentum Equation for Rotation Derived Part 2
    163. Non-Intuitive Rotation Example 1
    164. Non-Intuitive Rotation Example 2
    165. Non-Intuitive Rotation Example 3
    166. Newton’s Law of Gravitation Explained
    167. The Great Gravitation Debate
    168. Newton’s Law of Gravitation History (short form)
    169. Gravity and Weight – It all Fits
    170. Calculator Tips for Gravity Problems
    171. Gravity Inverse Square Law Conceptual Exam Questions
    172. Gravity and Superposition
    173. Newton’s Shell Theorem Explained for Particle Outside
    174. Newton’s Shell Theorem Explained for Particle Inside
    175. Newton’s Shell Theorem Derived for Particle Outside Part 1
    176. Newton’s Shell Theorem Derived for Particle Outside Part 2
    177. Zero-g Misnomer
    178. True Zero-g
    179. Curvature of Space
    180. Principle of Equivalence
    181. Weight Varies on Earth
    182. Lose weight at the equator
    183. What if Superman really did spin the earth that fast?
    184. Satellites in Orbit
    185. Gravitational Binding Energy
    186. Escape Velocity Part 1
    187. Escape Velocity Part 2
    188. Kepler’s First Law
    189. Kepler’s Second Law
    190. Kepler’s Third Law
    191. Geosynchronous Orbits
    192. Geostationary Orbits and Satellite Dishes
    193. Sidereal Period of the Moon
    194. Far Side of the Moon
    195. Frequency vs Angular Frequency
    196. Simple Harmonic Motion
    197. Derivatives of the SHM displacement equation
    198. Pendulum Equations
    199. Torsion Pendulums
    200. Useful Simple Harmonic Motion Equations
    201. Introduction to Electricity and Magnetism
    202. Charged Spheres
    203. Coulomb’s Law Unit 1
    204. Coulomb’s Law Unit 2
    205. Coulomb’s Law Unit 3a
    206. Coulomb’s Law Unit 3b
    207. Quantized Charge
    208. E-Fields Unit 1
    209. E-Fields Unit 2
    210. E-Fields Unit 3
    211. E-Fields Unit 4
    212. E-Fields Unit 5
    213. E-Fields Unit 6

  • Quantum Physics

    1. Van de Graaff Ninja throwing stars
    2. Why is the sky blue? Part 1
    3. Why is the sky blue? Part 2
    4. Lightning Explained
    5. Lightning Rods Part 1
    6. Lightning Rods Part 2
    7. Einstein’s Total Energy of a Particle
    8. Magnetic Resonance Imaging
    9. Bohr Model of the Hydrogen Atom Part 1
    10. Bohr Model of the Hydrogen Atom Part 2
    11. Schrodingers Quantum Mechanics Part 1
    12. Schrodingers Quantum Mechanics Part 2
    13. Schrodingers Quantum Mechanics Part 3
    14. Schrodingers Quantum Mechanics Part 4
    15. Schrodingers Quantum Mechanics Part 5
    16. Schrodingers Quantum Mechanics Part 6
    17. Schrodingers Quantum Mechanics Part 7

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