Course curriculum

  • 1

    Welcome to KIS 🧠

  • 2

    Unit 3 Topic 1 - Proof By Mathematical Induction

    • Unit 3 Topic 1 Worksheet

    • Unit 3 Topic 1 - Mathematical Induction

    • Unit 3 Topic 1 Annotated Worksheet
  • 3

    Unit 3 Topic 2.1 - Revision of 2D Vectors & Proofs

    • Unit 3 Topic 2.1 Worksheet

    • Unit 3 Topic 2.1 - Revision of 2D Vectors & Proofs

    • Unit 3 Topic 2.1 Annotated Worksheet
  • 4

    Unit 3 Topic 2.2 - Vectors in 3D & Proofs

    • Unit 3 Topic 2.2 Worksheet

    • Unit 3 Topic 2.2 - Vectors in 3D & Proofs

    • Unit 3 Topic 2.2 Annotated Worksheet
  • 5

    Unit 3 Topic 2.3 - Vector & Cartesian Equations

    • Unit 3 Topic 2.3 Worksheet

    • Unit 3 Topic 2.3 - Vector & Cartesian Equations

    • Unit 3 Topic 2.3 Annotated Worksheet
  • 6

    Unit 3 Topic 2.4 - Straight Line Vector Equations & Particle's Paths

    • Unit 3 Topic 2.4 Worksheet

    • Unit 3 Topic 2.4 - Straight Line Vector Equations & Particle's Paths

    • Unit 3 Topic 2.4 Annotated Worksheet
  • 7

    Unit 3 Topic 2.5 - Vector (cross) Product & Areas of Shapes

    • Unit 3 Topic 2.5 Worksheet

    • Unit 3 Topic 2.5 - Vector (cross) Product & Areas of Shapes

    • Unit 3 Topic 2.5 Annotated Worksheet
  • 8

    Unit 3 Topic 2.6 - Equations of a Plane

    • Unit 3 Topic 2.6 Worksheet

    • Unit 3 Topic 2.6 - Equations of a Plane

    • Unit 3 Topic 2.6 Annotated Worksheet
  • 9

    ✅ Unit 3 Topic 2.7 - Gaussian Elimination & Matrix Algebra

  • 10

    ✅ Unit 3 Topic 2.8 - Unique, no solution & infinite solutions of systems of equations

  • 11

    ✅ Unit 3 Topic 2.9 - Dominance & Leslie Matrices

  • 12

    ✅ Unit 3 Topic 2.10 - Circles, Ellipses & Hyperbolas

  • 13

    Unit 3 Topic 2.11 - Vector Calculus

    • Unit 3 Topic 2.11 Worksheet

    • Unit 3 Topic 2.11 - Vector Calculus

    • Unit 3 Topic 2.11 Annotated Worksheet
  • 14

    Unit 3 Topic 2.12 - Straight Line Motion with Constant & Variable Acceleration

    • Unit 3 Topic 2.12 Worksheet

    • Unit 3 Topic 2.12 - Straight Line Motion with Constant & Variable Acceleration

    • Unit 3 Topic 2.12 Annotated Worksheet
  • 15

    Unit 3 Topic 2.13 - Projectile & Circular Motion

    • Unit 3 Topic 2.13 Worksheet

    • Unit 3 Topic 2.13 - Projectile & Circular Motion

    • Unit 3 Topic 2.13 Annotated Worksheet
  • 16

    Unit 3 Topic 3.1 - Cartesian form (review)

    • Unit 3 Topic 3.1 Worksheet

    • Unit 3 Topic 3.1 - Cartesian form (review)

    • Unit 3 Topic 3.1 Annotated Worksheet
  • 17

    Unit 3 Topic 3.2 - Modulus & Argument - Polar Form

    • Unit 3 Topic 3.2 Worksheet

    • Unit 3 Topic 3.2 - Modulus & Argument - Polar Form

    • Unit 3 Topic 3.2 Annotated Worksheet
  • 18

    Unit 3 Topic 3.3 - De Moivre's theorem

    • Unit 3 Topic 3.3 Worksheet

    • Unit 3 Topic 3.3 - De Moivre's theorem

    • Unit 3 Topic 3.3 Annotated Worksheet
  • 19

    Unit 3 Topic 3.4 - Subsets of the Complex Plane

    • Unit 3 Topic 3.4 Worksheet

    • Unit 3 Topic 3.4 - Subsets of the Complex Plane

    • Unit 3 Topic 3.4 Annotated Worksheet
  • 20

    Unit 3 Topic 3.5 - Roots of Complex Numbers

    • Unit 3 Topic 3.5 Worksheet

    • Unit 3 Topic 3.5 - Roots of Complex Numbers

    • Unit 3 Topic 3.5 Annotated Worksheet
  • 21

    Unit 3 Topic Quizzes 💯

    • Unit 3 Topic 1 Quiz - Proof By Mathematical Induction

    • Unit 3 Topic 2 Quiz - Vectors and Matrices

    • Unit 3 Topic 3 Quiz - Complex Numbers 2
  • 22

    Unit 3 Topic 3.6 - Factorization of Polynomials

    • Unit 3 Topic 3.6 Worksheet

    • Unit 3 Topic 3.6 - Factorization of Polynomials

    • Unit 3 Topic 3.6 Annotated Worksheet
  • 23

    Unit 4 Topic 1.1 - Integration - Using ln(x), the Trigonometric Identities & Substitution u=g(x)

    • Unit 4 Topic 1.1 Worksheet

    • Unit 4 Topic 1.1 - Integration - Using ln(x), the Trigonometric Identities & Substitution u=g(x)

    • Unit 4 Topic 1.1 Annotated Worksheet
  • 24

    Unit 4 Topic 1.2 - Integration using Partial Fractions

    • Unit 4 Topic 1.2 Worksheet

    • Unit 4 Topic 1.2 - Integration using Partial Fractions

    • Unit 4 Topic 1.2 Annotated Worksheet
  • 25

    Unit 4 Topic 1.3 - Integration By Parts

    • Unit 4 Topic 1.3 Worksheet

    • Unit 4 Topic 1.3 - Integration By Parts

    • Unit 4 Topic 1.3 Annotated Worksheet
  • 26

    Unit 4 Topic 1.4 - Integrating & Deriving arcsine, arccosine and arctangent

    • Unit 4 Topic 1.4 Worksheet

    • Unit 4 Topic 1.4 - Integrating & Deriving arcsine, arccosine and arctangent

    • Unit 4 Topic 1.4 Annotated Worksheet
  • 27

    Unit 4 Topic 1.5 - Simpson's Rule & Area between curves

    • Unit 4 Topic 1.5 Worksheet

    • Unit 4 Topic 1.5 - Simpson's Rule & Area between curves

    • Unit 4 Topic 1.5 Annotated Worksheet
  • 28

    Unit 4 Topic 1.6 - Volumes of Solids of Revolution

    • Unit 4 Topic 1.6 Worksheet

    • Unit 4 Topic 1.6 - Volumes of Solids of Revolution

    • Unit 4 Topic 1.6 Annotated Worksheet
  • 29

    Unit 4 Topic 1.7 - Exponential Probability Density Functions

    • Unit 4 Topic 1.7 Worksheet

    • Unit 4 Topic 1.7 - Exponential Probability Density Functions

    • Unit 4 Topic 1.7 Annotated Worksheet
  • 30

    Unit 4 Topic 2.1 - Implicit Differentiation & Related Rates

    • Unit 4 Topic 2.1 Worksheet

    • Unit 4 Topic 2.1 - Implicit Differentiation & Related Rates

    • Unit 4 Topic 2.1 Annotated Worksheet
  • 31

    Unit 4 Topic 2.2 - Differential Equations

    • Unit 4 Topic 2.2 Worksheet

    • Unit 4 Topic 2.2 - Differential Equations

    • Unit 4 Topic 2.2 Annotated Worksheet
  • 32

    Unit 4 Topic 2.3 - Slope Fields

    • Unit 4 Topic 2.3 Worksheet

    • Unit 4 Topic 2.3 - Slope Fields

    • Unit 4 Topic 2.3 Annotated Worksheet
  • 33

    Unit 4 Topic 2.4 - Resultant Force & Momentum

    • Unit 4 Topic 2.4 Worksheet

    • Unit 4 Topic 2.4 - Resultant Force & Momentum

    • Unit 4 Topic 2.4 Annotated Worksheet
  • 34

    Unit 4 Topic 2.5 - The Normal Force, Friction, and Constant + Variable Forces

    • Unit 4 Topic 2.5 Worksheet

    • Unit 4 Topic 2.5 - The Normal Force, Friction, and Constant + Variable Forces

    • Unit 4 Topic 2.5 Annotated Worksheet
  • 35

    Unit 4 Topic 2.6 - Expressions for Acceleration - Straight Line Motion dependent on Time, Velocity & Displacement

    • Unit 4 Topic 2.6 Worksheet

    • Unit 4 Topic 2.6 - Expressions for Acceleration - Straight Line Motion dependent on Time, Velocity & Displacement

    • Unit 4 Topic 2.6 Annotated Worksheet
  • 36

    Unit 4 Topic 2.7 - Simple Harmonic Motion

    • Unit 4 Topic 2.7 Worksheet

    • Unit 4 Topic 2.7 - Simple Harmonic Motion

    • Unit 4 Topic 2.7 Annotated Worksheet
  • 37

    Unit 4 Topic 3.1 - The Sample Mean

    • Unit 4 Topic 3.1 Worksheet

    • Unit 4 Topic 3.1 - The Sample Mean

    • Unit 4 Topic 3.1 Annotated Worksheet
  • 38

    Unit 4 Topic 3.2 - Sample Means, Standard Deviation & Approximate Normality

    • Unit 4 Topic 3.2 Worksheet

    • Unit 4 Topic 3.2 - Sample Means, Standard Deviation & Approximate Normality

    • Unit 4 Topic 3.2 Annotated Worksheet
  • 39

    Unit 4 Topic 3.3 - Confidence Intervals

    • Unit 4 Topic 3.3 Worksheet

    • Unit 4 Topic 3.3 - Confidence Intervals

    • Unit 4 Topic 3.3 Annotated Worksheet
  • 40

    Unit 4 Topic Quizzes 💯

    • Unit 4 Topic 1 - Integration ^0 Applications of Integration

    • Unit 4 Topic 2 - Rates of change ^0 Differential Equations

    • Unit 4 Topic 3 - Statistical Inference
  • 41

    Exam Preparation 🧑‍🎓

    • Exam Preparation 🧑‍🎓