## Course curriculum

• 1

• 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

• 10

• 11

• 12

• 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 🧑‍🎓