Mathematics With Woody

7.1 The Addition Formulae

7.2 Using the Addition Formulae

7.2 Quiz

7.3 The Double Angle Formulae

7.4 The Double Angle Formulae - Solving Equations (Part 1)

7.4 Quiz

7.5 The Double Angle Formulae - Solving Equations (Part 2)

7.5 Quiz

7.6 The Double Angle Formulae - Proving Identities

7.6 Quiz

7.7 The Double Angle Formulae - Exam-Style Problems

7.7 Quiz

7.8 Harmonic Form - acosx+bsinx

7.8 Quiz

7.9 Harmonic Form - Solving Equations

7.9 Quiz

7.10 Harmonic Form - Minimum and Maximum (Part 1)

7.10 Quiz

7.11 Harmonic Form - Minimum and Maximum (Part 1)

7.11 Quiz

7.12 Modelling With Trig Equations

7.12 Quiz

Trigonometry - Identities and Modelling - Exam Questions

8.1 Differentiating Sinx and Cosx

8.1 Quiz

8.2 Using the Derivatives of Sinx and Cosx

8.2 Quiz

8.3 Differentiating Exponential Functions

8.3 Quiz

8.4 Differentiating lnx

8.4 Quiz

8.5 The Chain Rule: f(x)^n

8.5 Quiz

8.6 The Chain Rule: Trigonometric Functions

8.6 Quiz

8.7 The Chain Rule: Exponential Functions

8.7 Quiz

8.8 The Chain Rule: Logarithmic Functions

8.8 Quiz

8.9 The Product Rule

8.9 Quiz

8.10 The Quotient Rule

8.10 Quiz

8.11 Derivatives of Tan, Sec, Cosec and Cot

8.11 Quiz

8.12 Using the Derivatives of Tan, Sec, Cosec and Cot

8.12 Quiz

8.13 Implicit Differentiation

8.13 Quiz

8.14 Implicit Differentiation - Stationary and Critical Points

8.14 Quiz

8.15 Second Derivatives - Convex and Concave Functions

8.15 Quiz

8.16 Connected Rates of Change (Part 1)

8.17 Connected Rates of Change (Part 2)

8.16/8.17

Differentiation - Exam Questions

9.1 Integrating Standard Functions

9.1 Quiz

9.2 Integrating f(ax+b)

9.2 Quiz

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

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

9.3/9.4 Quiz

9.5 Reverse Chain Rule: Exponentials

9.5 Quiz

9.6 Reverse Chain Rule: Logarithmic Functions (Part 1)

9.7 Reverse Chain Rule: Logarithmic Functions (Part 2)

9.6/9.7 Quiz

9.8 Mixed Reverse Chain Rule Problems

9.9 Trig Identities For Integration: Pythagorean Identities

9.9 Quiz

9.10 Trig Identities For Integration: Double Angle Formulae

9.10 Quiz

9.11 Using Partial Fractions for Integration (Part 1)

9.12 Using Partial Fractions for Integration (Part 2)

9.11/9.12 Quiz

9.13 Integration by Parts: Polynomial x Exponential

9.13 Quiz

9.14 Integration by Parts: Polynomial x Trigonometric

9.14 Quiz

9.15: Integration by Parts: Polynomial x Logarithmic

9.15 Quiz

9.16 Integration by Parts: Exponential x Trigonometric

9.16 Quiz

9.17 Integration by Substitution: An Alternative to Reverse Chain Rule

9.17 Quiz

9.18 Integration by Substitution: u = f(x)

9.18 Quiz

9.19 Integration by Substitution: x = f(u)

9.19 Quiz

9.20 Integration by Substitution: Definite Integrals

9.20 Quiz

9.21 Problem Solving with Integration

9.21 Quiz

9.22 The Trapezium Rule

9.22 Quiz

9.23 Differential Equations: Separating Variables (Part 1)

9.24 Differential Equations: Separating Variables (Part 2)

9.23/9.24 Quiz

9.25 Forming Differential Equations

9.25 Quiz

9.26 Modelling With Differential Equations (Part 1)

9.27 Modelling With Differential Equations (Part 2)

9.26/9.27 Quiz

Integration - Exam Questions

10.1 Parametric Equations Intro

10.2 Converting Parametrics to Cartesian: Substitution

10.2 Quiz

10.3 Converting Parametrics to Cartesian: Pythagorean Identities

10.3 Quiz

10.4 Converting Parametrics to Cartesian: Double Angle Formulae

10.4 Quiz

10.5 Intersections of Parametrics and Lines

10.5 Quiz

10.6 Differentiating Parametric Equations

10.6 Quiz

10.7 Differentiating Parametric Curves: Stationary and Critical Points

10.7 Quiz

10.8 Integrating Parametric Equations (part 1)

10.9 Integrating Parametric Equations (part 2)

10.8/10.9 Quiz

Parametric Equations - Exam Questions

11.1 Locating Roots

11.1 Quiz

11.2 Iteration (Part 1)

11.3 Iteration (Part 2)

11.2/11.3 Quiz

11.4 The Newton-Raphson Procedure

11.4 Quiz

Numerical Methods - Exam Questions

12.1 3d Coordinates

12.1 Quiz

12.2 Vectors in 3d

12.2 Quiz

12.3 Angles Between Vectors and Coordinate Axes

12.3 Quiz

12.4 Geometric Problems

Vectors - Exam Questions

1.6 One-Tailed Tests for Correlation - Example

1.6 Quiz

1.7 Two Tailed Tests for Correlation

1.7 Quiz

1.8 Non-Linear Data - Exponential Models

1.8 Quiz

1.9 Non-Linear Data - Polynomial Models

1.9 Quiz

Correlation and Regression - Exam Questions

2.1 Set Notation

2.1 Quiz

2.2 Conditional Probability Intro

2.2 Quiz

2.3 Conditional Probability Formula

2.3 Quiz

2.4 Conditional Probability on Tree Diagrams

2.4 Quiz

2.5 Medical Testing Example

2.6 Conditional Probability With the Binomial Distributions

2.6 Quiz

Conditional Probability - Exam Questions

3.1 What is the Normal Distribution?

3.1 Quiz

3.2 The 68-95-99.7 Rule

3.2 Quiz

3.3 Calculating Normal Probabilities

3.3 Quiz

3.4 The Inverse Normal Function

3.4 Quiz

3.5 Finding Unknown Standard Deviations

3.5 Quiz

3.6 Finding Unknown Means

3.6 Quiz

3.7 Finding Unknown Means and Standard Deviations

3.7 Quiz

3.8 Normal Approximations to Binomial Distributions - Part 1

3.8 Quiz

3.9 Normal Approximations to Binomial Distributions - Part 2

3.9 Quiz

3.10 Normal Approximations to Binomial Distributions - Part 3

3.10 Quiz

3.11 Normal Hypothesis Tests - Intro

3.11 Quiz

3.12 One-Tailed Normal Hypothesis Tests

3.12 Quiz

3.13 Two-Tailed Normal Hypothesis Tests

3.13 Quiz

3.14 Critical Regions in Normal Hypothesis Tests

3.14 Quiz

3.15 Forming New Distributions From Normal Distributions

3.15 Quiz

3.16 Conditional Probability With Normal Distributions

3.16 Quiz

The Normal Distribution - Exam Questions

1.7 Rods at Angles

1.7 Quiz

1.8 Ladders

1.8 Quiz

1.9 Centres of Mass

1.9 Quiz

1.10 Tilting

1.10 Quiz

Moments - Exam Questions

2.1 Resultant Forces - Components

2.1 Quiz

2.2 Forces and Newton's Second Law

2.2 Quiz

2.3 Inclined Planes (Part 1)

2.4 Inclined Planes (Part 2)

2.3/2.4 Quiz

2.5 Friction

2.5 Quiz

2.6 Friction on an Inclined Plane (Part 1)

2.6 Quiz

2.7 Friction on an Inclined Plane (Part 2)

2.7 Quiz

Forces and Friction - Exam Questions

3.1 Projectiles Intro - Modelling Assumptions

3.1 Quiz

3.2 Horizontal Projection

3.2 Quiz

3.3 Components of Velocity

3.3 Quiz

3.4 Projection at an Angle: Distances

3.4 Quiz

3.5 Projection at an Angle: Speed (Part 1)

Copy of 3.5 Quiz

3.6 Projection at an Angle: Speed (Part 2)

3.6 Quiz

3.7 Projection at an Angle: Finding Angles

3.7 Quiz

3.8 Velocity as a Vector

3.8 Quiz

3.9 Projectile Motion Formulae

Projectiles - Exam Questions

4.1 Three Forces in Equilibrium

4.1 Quiz

4.2 Three Forces in Equilibrium - Triangle Method

4.2 Quiz

4.3 Equilibrium on an Inclined Plane

4.3 Quiz

4.4 Connected Particles on an Inclined Plane

4.4 Quiz

4.5 Hanging Objects

4.5 Quiz

4.6 Limiting Equilibrium

4.6 Quiz

4.7 Limiting Equilibrium on an Inclined Plane

4.7 Quiz

4.8 Limiting Equilibrium - Further Example

4.8 Quiz

4.9 Statics: Rods

4.9 Quiz

4.10 Statics: Ladders (Part 1)

4.11 Statics: Ladders (Parts 2)

4.10/4.11 Quiz

Equilibrium - Exam Questions

5.1 Motion on a Rough Plane: No Other Forces

5.1 Quiz

5.2 Motion on a Rough Inclined Plane: Parallel Forces

5.2 Quiz

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

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

5.3/5.4 Quiz

5.5 Connected Particles on a Rough Plane (Part 1)

5.5 Quiz

5.6 Connected Particles on a Rough Plane (Part 2)

5.6 Quiz

Dynamics - Exam Questions

6.1 Vectors: Constant Velocity

6.1 Quiz

6.2 Vectors: Constant Acceleration (Part 1)

6.3 Vectors: Constant Acceleration (Part 2)

6.2/6.3 Quiz

6.4 Vectors: Two Moving Objects

6.4 Quiz

6.5 Variable Acceleration in One Dimension (Part 1)

6.6 Variable Acceleration in One Dimension (Part 2)

6.7 Variable Acceleration in Two Dimensions (Part 1)

6.8 Variable Acceleration in Two Dimensions (Part 2)