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Welcome to A.M. Online!

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Introduction

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Site Navigation

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Additional Information

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1 – Introduction to Vectors

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Exercise Set 1A

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1.3 – Arbitrary Vectors

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1.4 – Vectors in Polar Form

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Exercise Set 1B

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Exercise Set 1B Solutions

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1.5 – Vector Addition

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Exercise Set 1C

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Exercise Set 1C Solutions

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1.6 – Vector Multiplication

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Exercise Set 1D

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Exercise Set 1D Solutions

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1.7 – Vector Decomposition 1

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Exercise Set 1E

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Exercise Set 1E Solutions

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1.8 – Vector Decomposition 2

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Exercise Set 1F

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Exercise Set 1F Solutions

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1.9 – Vectors in Component Form

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Exercise Set 1G

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Exercise Set 1G Solutions

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Summary

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2 – 1D Horizontal Motion

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Overview

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2.1 – Displacement, Velocity and Acceleration

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2.2 – SUVAT Vector Equations

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2.3 – 1D SUVAT Scalar Equations

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Exercise Set 2A

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Exercise Set 2A Solutions

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2.4 – Graphical Representation of 1D Motion

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Exercise Set 2B

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Exercise Set 2B Solutions

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2.5 – Using Time-Velocity Graphs

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Exercise Sets 2C & 2D

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Exercise Sets 2C & 2D Solutions

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2.6 – Instantaneous Acceleration Change

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Exercise Set 2E

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Exercise Set 2E Solutions

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2.7 – Motion with Partial Variables

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Exercise Set 2F

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Exercise Set 2F Solutions

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2.8 – Motion with Connected Variables

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Exercise Set 2G

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Exercise Set 2G Solutions

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2.9 – Dimensional Analysis

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Summary

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3 – Motion due to Gravity

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Overview

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3.1 – 1D Motion due to Gravity

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Exercise Sets 3A & 3B

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Exercise Sets 3A & 3B Solutions

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3.2 – 2D Motion due to Gravity

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Exercise Sets 3C & 3D

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Exercise Sets 3C & 3D Solutions

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3.3 – Features of Projectile Motion

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Exercise Sets 3E & 3F

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Exercise Sets 3E & 3F Solutions

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Summary

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4 – Continuous Change

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Overview

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4.1 – Introduction to Derivatives

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4.2 – Known Derivatives

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4.3 – Unknown Derivatives

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Exercise Set 4A

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Exercise Set 4A Solutions

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4.4 – Indefinite Integrals

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4.5 – Definite Integrals

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4.6 – Unknown Integrals

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Exercise Set 4B

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Exercise Set 4B Solutions

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4.7 – Differential Equations

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Exercise Set 4C

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Exercise Set 4C Solutions

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4.8 – Applications of Differential Equations

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Exercise Set 4D

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Exercise Set 4D Solutions

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Summary

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5 – Forces and Systems

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Overview

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5.1 – Newton’s Laws of Motion

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Exercise Set 5A

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Exercise Set 5A Solutions

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5.2 – Types of Force

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Exercise Sets 5B & 5C

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Exercise Sets 5B & 5C Solutions

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5.3 – Friction

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Exercise Set 5D

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Exercise Set 5D Solutions

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5.4 – Work and Power

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Exercise Set 5E

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Exercise Set 5E Solutions

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5.5 – Introduction to Systems

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Exercise Sets 5F & 5G

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Exercise Sets 5F & 5G Solutions

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5.6 – Systems with Moveable Pulleys

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Exercise Set 5H

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Exercise Set 5H Solutions

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5.7 – Systems on Inclined Planes

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Exercise Sets 5I & 5J

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Exercise Sets 5I & 5J Solutions

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Summary

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6 – Introduction to Energy and Momentum

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Overview

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6.1 – Energy and Work

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Exercise Set 6A

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Exercise Set 6A Solutions

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6.2 – Conservation of Energy

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Exercise Set 6B

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Exercise Set 6B Solutions

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6.3 – Conservation of Momentum

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Exercise Sets 6C & 6D

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Exercise Sets 6C & 6D Solutions

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Summary

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7 – Impacts and Collisions

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Overview

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7.1 – Impacts and Bouncing

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Exercise Sets 7A & 7B

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Exercise Sets 7A & 7B Solutions

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7.2 – Direct Collisions and Restitution

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Exercise Set 7C

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Exercise Set 7C Solutions

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7.3 – Oblique Collisions and Restitution

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Exercise Set 7D

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Exercise Set 7D Solutions

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Summary

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8 – Uniform Circular Motion

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Overview

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8.1 – Radians

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8.2 – Linear and Angular Velocity

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Exercise Set 8A

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Exercise Set 8A Solutions

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8.3 – Centripetal Acceleration

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Exercise Set 8B

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Exercise Set 8B Solutions

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8.4 – Horizontal Circular Motion

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Exercise Sets 8C & 8D Solutions

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Exercise Sets 8C & 8D

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8.5 – Vertical Circular Motion

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Exercise Set 8E

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Exercise Set 8E Solutions

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Summary

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9 – Difference Equations

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Overview

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9.1 – Introduction to Sequences

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Exercise Set 9A

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Exercise Set 9A Solutions

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9.2 – Introduction to Series

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Exercise Set 9B

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Exercise Set 9B Solutions

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9.3 – First Order Difference Equations

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Exercise Set 9C

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Exercise Set 9C Solutions

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9.4 – Second Order Homogeneous Difference Equations

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Exercise Set 9D

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Exercise Set 9D Solutions

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9.5 – Second Order Inhomogeneous Difference Equations

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Exercise Set 9E

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Exercise Set 9E Solutions

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Summary

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10 – Introduction to Graph Theory

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Overview

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10.1 – Graphs

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10.2 – Features of Graphs

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Exercise Set 10A

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Exercise Set 10A Solutions

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10.3 – Introduction to Matrices

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Exercise Set 10B

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Exercise Set 10B Solutions

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10.4 – Adjacency Matrices

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Exercise Set 10C

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Exercise Set 10C Solutions

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Summary

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11 – Path Optimisation

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Overview

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11.1 – Dijkstra’s Algorithm

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Exercise Set 11A

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Exercise Set 11A Solutions

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11.2 – Dynamic Programming

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Exercise Set 11B

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Exercise Set 11B Solutions

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11.3 – Applications of Dynamic Programming

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Exercise Set 11C

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Exercise Set 11C Solutions

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Summary

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12 – MST Optimisation

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Overview

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12.1 – Trees

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12.2 – MST Algorithms

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Exercise Sets 12A & 12B

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Exercise Sets 12A & 12B Solutions

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Summary

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13 – Project Optimisation

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Overview

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13.1 – Activity Networks

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Exercise Set 13A

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Exercise Set 13A Solutions

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13.2 – Dummy Activities

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Exercise Set 13B

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Exercise Set 13B Solutions

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13.3 – Critical Path Method

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Exercise Set 13C

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Exercise Set 13C Solutions

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13.4 – Gantt Charts

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Exercise Sets 13D & 13E

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Exercise Sets 13D & 13E Solutions

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13.5 – Project Scheduling

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Exercise Sets 13F & 13G

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Exercise Sets 13F & 13G Solutions

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Summary

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Mathematical Modelling Project

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Introduction

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Sample Project A

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Sample Project B

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Sample Project C

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2022/23 Project

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Revision Material

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Introduction

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Revision Sheet – Key Points

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Revision Sheet – Causes of Confusion

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Revision Sheet – Exam Tips

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HL Sample Papers

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HL Sample Paper A

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HL Sample Paper B

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HL Sample Paper C

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HL Sample Paper D

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HL Sample Paper E

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HL Exam Questions by Topic

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1D Horizontal Motion

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Motion due to Gravity

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Continuous Change

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Forces and Systems

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Impacts and Collisions

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Uniform Circular Motion

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Difference Equations

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Path Optimisation

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MST Optimisation

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Project Optimisation

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OL Sample Papers

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OL Sample Paper A

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OL Sample Paper B

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OL Sample Paper C

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OL Sample Paper D

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OL Sample Paper E

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OL Exam Questions by Topic

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1D Horizontal Motion

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Motion due to Gravity

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Continuous Change

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Forces and Systems

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Impacts and Collisions

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Uniform Circular Motion

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Difference Equations

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Path Optimisation

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MST Optimisation

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Project Optimisation

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Weekly Grinds

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Upcoming Grinds

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Grinds #5: Time-Velocity Graphs and Sequences & Series

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Grinds #4: SUVAT Equations and Adjacency Matrices

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Grinds #3: Vectors in Component Form and Introduction to Matrices

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Grinds #2: Vector Decomposition and Motion with Partial Variables

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Grinds #1: Introduction