Mathematics With Woody

7.5 The Binomial Expansion Formula

7.5 Quiz

7.6 Using the Binomial Expansion Formula

7.6 Quiz

7.7 When the First Term is Not 1

7.7 Quiz

7.8 Approximations

7.8 Quiz

7.9 Binomial Expansion and Algebraic Fractions

7.9 Quiz

7.10 Binomial Expansion and Partial Fractions

7.10 Quiz

Further Algebra - Exam Questions

8.1 Reverse Chain Rule: f'(x)[f(x)]^n (Part 1)

8.2 Reverse Chain Rule: f'(x)[f(x)]^n (Part 2)

8.1/8.2 Quiz

8.3 Reverse Chain Rule: Exponentials

8.3 Quiz

8.4 Reverse Chain Rule: Logarithmic Functions (Part 1)

8.5 Reverse Chain Rule: Logarithmic Functions (Part 2)

8.4/8.5 Quiz

8.6 Mixed Reverse Chain Rule Problems

8.7 Using Partial Fractions for Integration (Part 1)

8.8 Using Partial Fractions for Integration (Part 2)

8.7/8.8 Quiz

8.9 Integration by Parts: Polynomial x Exponential

8.9 Quiz

8.10 Integration by Parts: Polynomial x Trigonometric

8.10 Quiz

8.11 Integration by Parts: Polynomial x Logarithmic

8.11 Quiz

8.12 Integration by Parts: Exponential x Trigonometric

8.12 Quiz

8.13 Integration by Substitution: An Alternative to Reverse Chain Rule

8.13 Quiz

8.14 Integration by Substitution: u = f(x)

8.14 Quiz

8.15 Integration by Substitution: x = f(u)

8.15 Quiz

8.16 Integration by Substitution: Definite Integrals

8.16 Quiz

8.17 Integrating Arctan-Like Functions

8.18 Problem Solving with Integration

8.18 Quiz

8.19 The Trapezium Rule

8.19 Quiz

Integration - Exam Questions

9.1 Vector Notation

9.1 Quiz

9.2 Comparing Coefficients

9.2 Quiz

9.3 Magnitude and Direction

9.3 Quiz

9.4 Position Vectors

9.4 Quiz

9.5 The Vector Equation of a Straight Line

9.5 Quiz

9.6 Parallel and Skew Vectors

9.6 Quiz

9.7 Converting Vector Form to Cartesian Form

9.8 The Scalar (Dot) Product - Introduction

9.9 Using the Scalar Product to Find Angles

9.10 Using the Scalar Product to Find Shortest Distances

Vectors - Exam Questions

10.1 Differential Equations: Separating Variables (Part 1)

10.2 Differential Equations: Separating Variables (Part 2)

10.1/10.2 Quiz

10.3 Forming Differential Equations

10.3 Quiz

10.4 Modelling With Differential Equations (Part 1)

10.5 Modelling With Differential Equations (Part 2)

10.4/10.5 Quiz

Differential Equations - Exam Questions

11.1 Complex Numbers - Introduction

11.2 Addition, Subtraction and Multiplication of Complex Numbers

11.3 Division of Complex Numbers

11.4 Square Roots of Complex Numbers

11.5 Complex Roots of Quadratics

11.6 Complex Roots of Cubics and Quartics

11.7 The Argand Diagram

11.8 Modulus and Argument

11.9 Modulus-Argument and Polar Form

11.10 Exponential Form

11.11 Proof of Exponential Form

11.12 Multiplying Numbers in Modulus Argument Form - Part 1

11.13 Multiplying Numbers in Modulus Argument Form - Part 2

11.14 Multiplying Numbers in Modulus Argument Form - Part 3

11.15 Euler's Identity

11.16 Complex Loci - Circles

11.17 Complex Loci - Perpendicular Bisectors

11.18 Complex Loci - Arguments

Complex Numbers - Exam Questions

1.8 SUVAT Equations

1.9 SUVAT Equations Proofs

1.10 Using the SUVAT Equations (Part 1)

1.11 Using the SUVAT Equations (Part 2)

1.10/1.11 Quiz

1.12 Two-Part Journeys

1.13 Two Moving Objects

1.13 Quiz

1.14 The Gravitational Constant - g

1.15 Projectiles Intro

1.16 Projectiles (Part 1)

1.17 Projectiles (Part 2)

1.16/1.17 Quiz

Velocity and Acceleration - Exam Questions

2.1 Force Diagrams (Part 1)

2.2 Force Diagrams (Part 2)

2.1/2.2 Quiz

2.3 Resultant Forces

2.3 Quiz

2.4 Magnitude and Direction

2.5 Forces as Vectors

2.6 Forces as Vectors Example

2.5/2.6 Quiz

2.7 Parallel Vectors

2.8 Newton's Second Law Introduction

2.9 Newton's Second Law (Part 1)

2.10 Newton's Second Law (Part 2)

2.9/2.10 Quiz

2.11 SUVAT and Forces

2.11 Quiz

2.12 Connected Particles (Part 1)

2.12 Quiz

2.13 Connected Particles (Part 2)

2.14 Connected Particles (Part 3)

2.13/2.14 Quiz

2.15 Changing Forces (Part 1)

2.16 Changing Forces (Part 2)

2.15/3.16 Quiz

2.17 Modelling Assumptions

Forces and Motion - Exam Questions

3.1 Motion as a Functions of Time

3.2 Using Differentiation (Part 1)

3.3 Using Differentiation (Part 2)

3.2/3.3 Quiz

3.4 Turning Points

3.5 Using Integration (Part 1)

3.6 Using Integration (Part 2)

3.5/3.6 Quiz

3.7 SUVAT Equations

3.8 Calculator Use

Variable Acceleration - Exam Questions

4.1 Resultant Forces - Components

4.1 Quiz

4.2 Forces and Newton's Second Law

4.2 Quiz

4.3 Inclined Planes (Part 1)

4.4 Inclined Planes (Part 2)

4.3/4.4 Quiz

4.5 Friction

4.5 Quiz

4.6 Friction on an Inclined Plane (Part 1)

4.6 Quiz

4.7 Friction on an Inclined Plane (Part 2)

4.7 Quiz

4.8 Motion on a Rough Plane: No Other Forces

4.8 Quiz

4.9 Motion on a Rough Inclined Plane: Parallel Forces

4.9 Quiz

4.10 Motion on a Rough Inclined Plane: Non-Parallel Forces (Part 1)

4.11 Motion on a Rough Inclined Plane: Non-Parallel Forces (Part 2)

4.10/4.11 Quiz

4.12 Connected Particles on a Rough Plane (Part 1)

4.12 Quiz

4.13 Connected Particles on a Rough Plane (Part 2)

4.13 Quiz

Resolving Forces and Friction - Exam Questions

5.1 Three Forces in Equilibrium

5.1 Quiz

5.2 Three Forces in Equilibrium - Triangle Method

5.2 Quiz

5.3 Equilibrium on an Inclined Plane

5.3 Quiz

5.4 Connected Particles on an Inclined Plane

5.4 Quiz

5.5 Hanging Objects

5.5 Quiz

5.6 Limiting Equilibrium

5.6 Quiz

5.7 Limiting Equilibrium on an Inclined Plane

5.7 Quiz

5.8 Limiting Equilibrium - Further Example

5.8 Quiz

Equilibrium - Exam Questions

6.1 The Work Done by a Force

6.2 The Work Done by a Force - Components

6.3 Kinetic Energy

6.4 Gravitational Potential Energy - Part 1

6.5 Gravitational Potential Energy - Part 2

6.6 The Work-Energy Principle - Part 1

6.7 The Work-Energy Principle - Part 1

6.8 Power - Part 1

6.9 Power - Part 2

Work, Energy and Power - Exam Questions

7.1 Momentum

7.2 Conservation of Linear Momentum

7.3 Conservation of Momentum with Multiple Collisions

Momentum - Exam Questions