Course curriculum

  • 1

    Introduction 🧠

  • 2

    Chapter 1 - Differentiation

    • Chapter 1 Worksheet

    • 1.1 First and Second Order Derivatives

    • 1.2 Product Rule

    • 1.3 Quotient Rule

    • 1.4 Chain Rule

    • ANNOTATED Chapter 1 Worksheet
  • 3

    Chapter 2 - Applications of Differentiation

    • Chapter 2 Worksheet

    • 2.1 Graphical Differentiation

    • 2.2 Turning Points and points of Inflection (POI)

    • 2.3 Displacement, Velocity and Acceleration

    • 2.4 Optimisation

    • ANNOTATED Chapter 2 Worksheet
  • 4

    Chapter 3 - Antidifferentiation

    • Chapter 3 Worksheet

    • 3.1 Basic Antidifferentiation

    • 3.2 Further Antidifferentiation

    • 3.3 Rectilinear Motion

    • ANNOTATED Chapter 3 Worksheet
  • 5

    Chapter 4 - Area Under a Curve

    • Chapter 4 Worksheet

    • 4.1 Estimations

    • 4.2 Definite Integrals

    • 4.3 Area Between Curves

    • 4.4 Rates of Change

    • ANNOTATED Chapter 4 Worksheet
  • 6

    Chapter 5 - The Fundamental Theorem of Calculus

    • Chapter 5 Worksheet

    • 5.1 Differentiating an Integral

    • 5.2 Integrating a Differentiated Function

    • ANNOTATED Chapter 5 Worksheet
  • 7

    Chapter 6 - The Exponential Function

    • Chapter 6 Worksheet

    • 6.1 Exponential Growth and Decay

    • 6.2 - The Derivative of e^x

    • 6.3 - More on Growth and Decay

    • 6.4 Integrating the Exponential Function

    • ANNOTATED Chapter 6 Worksheet
  • 8

    Chapter 7 - Calculus of Trigonometric Functions

    • Chapter 7 Worksheet

    • 7.1 Differentiation of Trigonometric Functions

    • 7.2 - Integration of Trigonometric Functions

    • ANNOTATED Chapter 7 Worksheet
  • 9

    Chapter 8 - Discrete Random Variables

    • Chapter 8 Worksheet

    • 8.1 - An Introduction to Discrete Random Variables

    • 8.2_Mean_and_standard_deviation_of_discrete_random_variables
  • 10

    Chapter 9 - Bernoulli and Binomial Distribution

    • Chapter 9 Worksheet

    • 9.1 Single and Repeated Bernoulli Trials

    • 9.2 Binomial Distributions Using a Graphic Calculator

    • ANNOTATED Chapter 9 Worksheet
  • 11

    Unit 4 Chapter 1 - Logarithmic Functions

    • Unit 4 Chapter 1 Worksheet

    • U4 1.1 Introduction to Logs and Log Laws

    • U4 1.2 Using Logarithms to Solve Equations

    • U4 1.3 The Natural Logarithm

    • U4 1.4 Graphing Logarithms

    • ANNOTATED Unit 4 Chapter Worksheet
  • 12

    Unit 4 Chapter 2 - Calculus Involving Logarithmic Functions

    • Unit 4 Chapter 2 Worksheet

    • U4 2.1 Differentiating ln(x)

    • U4 2.2 Integration to give Logarithmic Functions

    • ANNOTATED Unit 4 Chapter 2 Worksheet

  • 13

    Unit 4 Chapter 3 - Continuous Random Variables (CRVs)

    • Unit 4 Chapter 3 Worksheet

    • U4 3.1 CRVs and Histograms

    • U4 3.2 Probability Density Functions (pdfs)

    • U4 3.3 Expected Value Variance and Standard Deviation of CRV

    • ANNOTATED Unit 4 Chapter 3 Worksheet

  • 14

    Unit 4 Chapter 4 - The Normal Distribution

  • 15

    Unit 4 Chapter 5 - Random Sampling

  • 16

    Unit 4 Chapter 6 - Sample Proportions

    • Unit 4 Chapter 6 Worksheet

    • U4 6.1 Introduction and Variability of Samples

    • U4 6.2 Confidence Intervals

    • ANNOTATED Unit 4 Chapter 6 Worksheet

  • 17

    Exam Preparation

    • Exam Preparation 🧑‍🎓