Course curriculum

  • 1

    Differential Calculus

    • Episode 1 - Derivatives of sin, cos and tan (10:34)

    • Episode 2 - Differentiation of Trigonometric Functions - Examples (09:00)

    • Episode 3 - Application of Calculus to Trigonometric Functions (13:09)

    • Episode 4 - Differentiating Logarithmic Functions (07:44)

    • Episode 5 - Differentiating Logarithmic Functions - Examples (07:56)

    • Episode 6: Exponentials Base a (10:15)

    • Episode 7: Logarithms Base a (4:27)

    • Episode 8 - Applications of Calculus to exponential and Logarithmic Functions (14:43)

    • Episode 9: Derivatives of Inverse Functions (37:22)
  • 2

    Applications of Differentiation 1 – Geometrical Applications

    • Episode 1 - Gradient Tangent (03:38)

    • Episode 2 - Stationary Points (07:02)

    • Episode 3 - 2nd Derivative Concavity (08:27)

    • Episode 4 - 2nd Derivative (09:46)

    • Episode 5 - Summary so far (05:28)

    • Episode 6 - Global/Local Maximum and Minimum (05:59)

    • Episode 7 - Tangents Normal Curve (07:08)

    • Episode 8 - Primitives Anti-Differentials (08:36)

    • Episode 9 - Maxima and Minima Problems (18:51)

    • Episode 10 - Geo App Curves and Sketching (09:48)
  • 3

    Applications of Differentiation 2 – Applications to the Physical World

    • Episode 1 - Introduction (04:45)

    • Episode 2 - Rates of Change (10:12)

    • Episode 3 - Rates of Change - Examples (14:25)

    • Episode 4 - Growth and Decay (12:20)

    • Episode 5 - Growth and Decay - Examples (17:47)

    • Episode 6 - Motion (09:34)

    • Episode 7 - Motion - Examples (20:40)

    • Episode 8 - Motion – Interesting Motion Graphs (06:48)
  • 4

    Integration 1 – Introduction to Integration

    • Episode 1 - Introduction to Integration (03:57)

    • Episode 2 - Integral Notation (06:19)

    • Episode 3 - The Definite Integral (12:38)

    • Episode 4 - Deriving the Fundamental Theorem Calculus (Part 1) (11:25)

    • Episode 5 - Deriving the Fundamental Theorem Calculus (Part 2) (12:05)

    • Episode 6 - The Indefinite Integral (10:19)

    • Episode 7 - Approximations of Area (03:29)

    • Episode 8 - The Trapezoidal Rule (12:19)

    • Episode 9 - Simpsons Rule (13:25)

    • Episode 10 - Area Below the x axis (05:50)

    • Episode 11 - Areas bounded by the X Axis (06:31)

    • Episode 12 - Area Between 2 Curves (13:07)

    • Episode 13 - Area Between 2 Curves- Extension(13:04)

    • Episode 14 - Areas bounded by the Y Axis (14:16)
  • 5

    Integration 2 – Further Integration of Functions

    • Episode 1 - Integration of Trig Functions (03:40)

    • Episode 2 - Integration of Trigonometric Functions - Examples (06:51)

    • Episode 3 - Differentiating and Integrating Exponential Functions - Examples (24:15)

    • Episode 4 - Integration Leading to Logarithmic Functions (08:08)

    • Episode 5: Exponentials with Base a (03:25)