Cie International A-Level Maths: Mechanics

Published 8/2023
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz
Language: English | Size: 8.55 GB | Duration: 10h 43m

Master the content from Paper 4 (Mechanics) of Cambridge International A-Level Maths

What you'll learn
Velocity and Acceleration
Forces and Newton's Laws of Motion
Friction
Equilibrium
Energy and Power

Requirements
Knowledge of basic calculus is required in one of the chapters

Description
CIE International A-Level Maths is a course for anyone studying the Cambridge International A-Level Maths:This course covers all the content in Paper 4 (Mechanics) of the Cambridge International A-Level Maths Course. It is also a great introduction to mechanics for anyone interested in getting started. The main sections of the course are:- Velocity and Acceleration- we look at using graphs and SUVAT equations to solve a range of kinematics problems.- Forces and Motion - we learn how to use Newton's laws of motion to analyse the forces acting on objects to determine their motion.- Variable Acceleration - we learn how to use calculus to solve problems where an object's motion can be expressed as a function of time.- Forces and Friction - we learn how to use a model for friction and apply it to understand how it affects the motion of objects.- Equilibrium - we learn how to understand systems in equilibrium, looking at limiting equilibrium and and other more advanced concepts.- Work, Energy and Power - we learn what these concepts are and how to use them to solve problems relating to kinetic and potential energy.- Momentum - we learn what momentum is and how to use it to solve problems relating to colliding particles.Please note: This course is intended for people studying the Cambridge International A-Level Maths Syllabus, and not the UK syllabus (covered by Edexcel, OCR, AQA and MEI exam boards). If you are looking for these, check out my other courses on these!What you get in this course:Videos: Watch as I explain each topic, introducing all the key ideas, and then go through a range of different examples, covering all the important ideas in each. In these videos I also point out the most common misconceptions and errors so that you can avoid them.Quizzes: Each sub-section is followed by a short quiz for you to test your understanding of the content just covered. Most of the questions in the quizzes are taken from real A-Level past papers. Feel free to ask for help if you get stuck on these!Worksheets: At the end of each chapter I have made a collection of different questions taken from real A-Level past papers for you to put it all together and try for yourself. At the bottom of each worksheet is a full mark-scheme so you can see how you have done.This course comes with:· A printable Udemy certificate of completion.· Support in the Q&A section - ask me if you get stuck!I really hope you enjoy this course!Woody

Overview
Section 1: Introduction

Lecture 1 Introduction

Section 2: Velocity and Acceleration

Lecture 2 Vectors vs Scalars

Lecture 3 Displacement-Time Graphs

Lecture 4 Displacement-Time Graph Example

Lecture 5 Velocity-Time Graphs

Lecture 6 Velocity-Time Graphs Example 1

Lecture 7 Velocity-Time Graphs Example 2

Lecture 8 Acceleration-Time Graphs

Lecture 9 SUVAT Equations

Lecture 10 Proofs of SUVAT Equations

Lecture 11 SUVAT Equations - Example 1

Lecture 12 SUVAT Equations - Example 2

Lecture 13 Two Parts of a Journey

Lecture 14 Two Moving Objects

Lecture 15 The Gravitational Constant - g

Lecture 16 Projectiles

Lecture 17 Projectiles - Example 1

Lecture 18 Projectiles - Example 2

Section 3: Forces and Motion

Lecture 19 Force Diagrams - Part 1

Lecture 20 Force Diagrams - Part 2

Lecture 21 Resultant Forces

Lecture 22 Magnitude and Direction

Lecture 23 Forces as Vectors

Lecture 24 Vectors Example

Lecture 25 Parallel Vectors

Lecture 26 Newton's Second Law of Motion

Lecture 27 Newton's Second Law of Motion - Example 1

Lecture 28 Newton's Second Law of Motion - Example 2

Lecture 29 SUVAT and Forces

Lecture 30 Connected Particles - Part 1

Lecture 31 Connected Particles - Part 2

Lecture 32 Connected Particles - Part 3

Lecture 33 Changing Forces - Part 1

Lecture 34 Changing Forces - Part 2

Lecture 35 Modelling Assumptions

Section 4: Variable Acceleration

Lecture 36 Motion as a Function of Time

Lecture 37 Using Differentiation - Part 1

Lecture 38 Using Differentiation - Part 2

Lecture 39 Turning Points

Lecture 40 Using Integration - Part 1

Lecture 41 Using Integration - Part 2

Lecture 42 SUVAT Equations

Lecture 43 Calculator Use

Section 5: Resolving Forces and Friction

Lecture 44 Resultant Forces - Components

Lecture 45 Components and Newton's Second Law

Lecture 46 Inclined Planes - Part 1

Lecture 47 Inclined Planes - Part 2

Lecture 48 Friction

Lecture 49 Friction on an Inclined Plane - Part 1

Lecture 50 Friction on an Inclined Plane - Part 2

Lecture 51 Motion on a Rough Inclined Plane - No Other Forces

Lecture 52 Motion on a Rough Inclined Plane - Parallel Forces

Lecture 53 Motion on a Rough Inclined Plane - Non-Parallel Forces - Part 1

Lecture 54 Motion on a Rough Inclined Plane - Non-Parallel Forces - Part 2

Lecture 55 Connected Particles on a Rough Inclined Plane - Part 1

Lecture 56 Connected Particles on a Rough Inclined Plane - Part 2

Section 6: Equilibrium

Lecture 57 Three Forces in Equilibrium

Lecture 58 Three Forces in Equilibrium - The Triangle Method

Lecture 59 Equilibrium on an Inclined Plane

Lecture 60 Connected Particles in Equilibrium on an Inclined Plane

Lecture 61 Hanging Objects in Equilibrium

Lecture 62 Limiting Equilibrium

Lecture 63 Limiting Equilibrium on an Inclined Plane

Lecture 64 Limiting Equilibrium - Further Examples

Section 7: Work, Energy and Power

Lecture 65 The Work Done by a Force

Lecture 66 The Work Done by a Force - Components

Lecture 67 Kinetic Energy

Lecture 68 Gravitational Potential Energy - Part 1

Lecture 69 Gravitational Potential Energy - Part 2

Lecture 70 The Work-Energy Principle - Part 1

Lecture 71 The Work-Energy Principle - Part 2

Lecture 72 Power - Part 1

Lecture 73 Power - Part 2

Section 8: Momentum

Lecture 74 Momentum

Lecture 75 Conservation of Linear Momentum

Lecture 76 Conservation of Momentum with Multiple Collisions

People studying the Cambridge International A-Level Mathematics AS or A-Level,People who want to study an intermediate course in mechanics

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