A-Level Maths: Mechanics (Year 1 / AS) from Udemy

A-Level Maths: Mechanics (Year 1 / AS) is a course for anyone studying A-Level Maths:

This course covers everything in the mechanics component of maths A-Level AS content, usually covered in the first year of study (Year 12). The course is suitable for all major exam boards, including Edexcel It is also a great introduction to mechanics for anyone interested in getting started.

The main sections of the course are:

Kinematics - the study of movement, where we look at graphs of motion (displacement-time, velocity-time and acceleration-time), constant acceleration formulas (SUVAT equations), projectiles, and how to solve problems involving multiple stages of a journey, and problems involving multiple moving objects.
Dynamics - the study of forces, where we look at Newton's laws of motion, forces (and how to model them as vectors), combining force problems with constant acceleration problems, connected particles questions, and problems where the forces change part way through, such as when a connecting string breaks.
Variable acceleration - where we look at motion expressed as a function of time, and how to use differentiation and integration to solve mechanics problems.

There are also two extra sections at the end. The first is a short video where I show you how to use a Casio ClassWiz calculator to speed up mechanics problems. The second is four extended videos where I go question-by-question through the mechanics content in the specimen papers of Edexcel

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 30 day money-back guarantee.
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

What's inside

Learning objectives

A-level mechanics
Newton's laws of motion
Constant acceleration formulae (suvat)

Applying calculus to motion problems
Vectors
Calculator use for a-level mechanics

A-level mechanics
Newton's laws of motion
Constant acceleration formulae (suvat)
Applying calculus to motion problems
Vectors
Calculator use for a-level mechanics

Syllabus

Introduction

Velocity-Time Graph Example 2

Understand how to use the constant acceleration (SUVAT) formulae, the motion of projectiles in one dimension, and be able to solve problems involving graphs.

Vectors vs Scalars

Vectors vs Scalars quiz

Displacement-Time Graphs

Displacement-Time Graphs Quiz

Displacement-Time Graph Example

Velocity-Time Graphs

Velocity-Time Graph Example 1

Velocity-Time Graphs Quiz

Acceleration-Time Graphs

Acceleration-Time Graphs Quiz

SUVAT Equations

Proofs of SUVAT Equations

SUVAT Equations - Example 1

SUVAT Equations - Example 2

SUVAT Equations quiz

Two Parts of a Journey

Two Moving Objects

Two Moving Objects - quiz

Projectiles

Projectiles - Example 1

Projectiles - Example 2

Projectiles quiz

End of Chapter Practice Questions

Solve questions using Newton's three laws of motion, and understand how to model forces as vectors.

Force Diagrams (part 1)

Force Diagrams (part 2)

Force Diagrams Quiz

Resultant Forces

Resultant Forces quiz

Magnitude and Direction

Forces as Vectors (part 1)

Forces as Vectors (part 2)

Forces as Vectors quiz

Parallel Vectors

Newton's Second Law

Newton's Second Law - Example 1

Newton's Second Law - Example 2

Newton's Second Law quiz

Forces and SUVAT

Forces and SUVAT quiz

Connected Particles (part 1)

Connected Particles quiz 1

Connected Particles (part 2)

Connected Particles (part 3)

Connected Particles quiz 2

Changing Forces (part 1)

Changing Forces (part 2)

Changing Forces quiz

Modelling Assumptions

Understand how to use calculus to solve mechanics problems.

Motion as a Function of Time

Using Differentiation in Mechanics (part 1)

Using Differentiation in Mechanics (part 2)

Using Differentiation quiz

Turning Points

Using Integration in Mechanics (part 1)

Using Integration in Mechanics (part 2)

Using Integration quiz

Calculus Meets SUVAT

How to use a scientific calculator to solve A-Level mechanics problems much faster.

Calculator Use in Mechanics

In this section I go through the first year mechanics content of the specimen papers of all major exam boards. A great chance to see what you understand!

Edexcel AS Specimen Paper - Mechanics Content

OCR AS Specimen Paper - Mechanics Content

AQA AS Specimen Paper - Mechanics Content

MEI AS Specimen Paper - Mechanics Content

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in A-Level Maths: Mechanics (Year 1 / AS) with these activities:

Review GCSE Physics: Forces and Motion

Show steps

Reinforce foundational physics concepts related to forces and motion, which are essential for understanding A-Level Mechanics.

Show steps

Review notes and textbooks from GCSE Physics.
Complete practice questions on forces and motion.
Identify areas of weakness and seek clarification.

Read 'A-Level Mathematics for Edexcel Mechanics 1'

Show steps

Supplement course materials with a dedicated textbook for A-Level Mechanics, providing additional explanations and practice problems.

View Putting Knowledge to Work on Amazon

Show steps

Read each chapter corresponding to the course syllabus.
Work through the examples provided in the book.
Complete the practice questions at the end of each chapter.

SUVAT Equations Practice

Show steps

Solidify understanding of SUVAT equations through repetitive problem-solving, improving speed and accuracy.

Show steps

Solve a variety of SUVAT problems from past papers.
Focus on identifying the knowns and unknowns.
Practice rearranging the equations to solve for different variables.

Four other activities

Expand to see all activities and additional details

Show all seven activities

Explore Online Mechanics Simulations

Show steps

Enhance understanding of mechanics concepts through interactive simulations that visualize forces, motion, and energy.

Show steps

Search for online mechanics simulations (e.g., PhET simulations).
Experiment with different parameters and observe the effects.
Relate the simulations to the concepts learned in the course.

Review 'Understanding Mechanics' by Sadler and Thorning

Show steps

Deepen understanding of mechanics principles with a classic textbook that provides a more theoretical and in-depth treatment of the subject.

View Understanding Mechanics on Amazon

Show steps

Read sections relevant to the course topics.
Attempt the more challenging problems in the book.
Compare the book's approach to the course materials.

Create a Mechanics Problem Solving Guide

Show steps

Synthesize knowledge by creating a guide that explains different types of mechanics problems and their solutions.

Show steps

Categorize different types of mechanics problems.
Develop step-by-step solutions for each category.
Include diagrams and explanations to clarify concepts.
Share the guide with peers for feedback.

Tutor a Peer in Mechanics

Show steps

Reinforce your own understanding by explaining mechanics concepts to a peer who is struggling with the material.

Show steps

Offer to help a classmate who is having difficulty.
Prepare explanations and examples to clarify concepts.
Answer questions and provide feedback on their work.

Career center

Learners who complete A-Level Maths: Mechanics (Year 1 / AS) will develop knowledge and skills that may be useful to these careers:

Aerospace Engineer

Aerospace engineers design, develop, and test aircraft and spacecraft. This A-Level Maths Mechanics course may be valuable because it helps build a foundation in understanding the principles of motion, forces, and dynamics, all critical in aerospace engineering. The course covers topics like kinematics, Newton's laws of motion, and vector analysis. These are crucial for analyzing the movement of objects in space and designing efficient and safe aircraft. The modules on projectiles and variable acceleration may be relevant in this career. This course is most useful to those interested in design of spacecrafts.

See salaries and explore the career path for Aerospace Engineer

Robotics Engineer

Robotics engineers design, build, test, and maintain robots and robotic systems. This A-Level Maths Mechanics course may be useful because it helps build a foundation in understanding motion, forces, and control systems. The course covers kinematics, Newton's laws of motion, and vector analysis. The concepts taught here are essential for designing robots that can move accurately and efficiently. The sections on variable acceleration and connected particles may be helpful in this course.

See salaries and explore the career path for Robotics Engineer

Mechanical Engineer

Mechanical engineers research, design, develop, manufacture, and test mechanical devices and systems. For aspiring mechanical engineers, this A-Level Maths Mechanics course may be useful as it helps build a strong foundation in the core principles of mechanics. The course content on kinematics, dynamics, and variable acceleration are directly applicable to the analysis and design of mechanical systems. The focus on Newton's laws of motion and the use of calculus to solve mechanics problems provides you with essential analytical skills. The problem solving practice in the worksheets may be helpful.

See salaries and explore the career path for Mechanical Engineer

Game Developer

Game developers create video games for computers, consoles, and mobile devices. This A-Level Maths Mechanics course may be particularly useful. The course covers kinematics, dynamics, and the application of calculus to motion problems. These concepts are widely used in game physics engines to simulate realistic movement and interactions. The sections on projectiles and vector analysis may be helpful for programming game mechanics. Students interested in game development should take this course.

See salaries and explore the career path for Game Developer

Structural Engineer

A structural engineer analyzes, designs, plans, and researches structural components and systems. This A-Level Maths Mechanics course may be useful for aspiring structural engineers, because it helps in understanding the fundamental principles of mechanics. The course content on forces, vectors, and dynamics are applicable to the analysis and design of structures. This course is important because it helps learners build a foundation to structural engineering.

See salaries and explore the career path for Structural Engineer

Civil Engineer

Civil engineers design, construct, supervise, operate, and maintain large construction projects and systems, including roads, buildings, airports, tunnels, dams, bridges, and systems for water supply and sewage treatment. This A-Level Maths Mechanics course may be useful for those who want to become civil engineers. The course's coverage of forces, vectors, and dynamics are foundational for understanding structural mechanics. The principles learned in this course are valuable for analyzing the forces acting on bridges and buildings. This course may be useful for students.

See salaries and explore the career path for Civil Engineer

Automotive Engineer

Automotive engineers design, develop, and manufacture vehicles and their components. This A-Level Maths Mechanics course may be useful because it helps build a strong understanding of the principles of motion, forces, and dynamics. The course covers kinematics, Newton's laws of motion, and vector analysis. These topics are all essential for analyzing vehicle performance, designing suspension systems, and ensuring vehicle safety. The course also covers topics such as forces and SUVAT, which may be useful.

See salaries and explore the career path for Automotive Engineer

Physics Teacher

Physics teachers educate students in the principles of physics, often at the high school or college level. This A-Level Maths Mechanics course may be useful, especially if you plan to teach mechanics at the A-Level. The course provides a comprehensive review of the subject matter, including kinematics, dynamics, and variable acceleration. The quizzes and worksheets, with questions from real A-Level past papers, may be useful for preparing lessons and assessments. This is a strong course for students taking A-level maths.

See salaries and explore the career path for Physics Teacher

Naval Architect

Naval architects design and oversee the construction and repair of marine vessels such as ships, boats, submarines, and offshore platforms. This A-Level Maths Mechanics course may be useful for any aspiring naval architect. The course content on forces, vectors, and dynamics is essential for understanding how ships behave in the water, and how to optimize their design for stability and efficiency. The coverage of forces and structures will be most relevant. Naval architects will find this to be a strong course.

See salaries and explore the career path for Naval Architect

Biomedical Engineer

Biomedical engineers develop devices and procedures that solve medical and health-related problems by combining engineering principles with biology and medicine. The A-Level Maths Mechanics course may be useful, especially if you're interested in biomechanics or the design of medical devices that involve movement or force. The course content on kinematics, dynamics, and forces are relevant to understanding human movement and the mechanics of medical devices. The course also covers topics such as vectors, which may be useful to students.

See salaries and explore the career path for Biomedical Engineer

Ergonomist

An ergonomist focuses on designing and arranging things people use so that the people and things interact most efficiently and safely. This A-Level Maths Mechanics course may be useful. The study of forces and motion can inform the design of workspaces and equipment to minimize physical strain and maximize comfort. The sections on forces, vectors, resultant forces, and newton's second law may be most useful for aspiring ergonomists. Ergonomists wanting to expand their knowledge may find this to be an appealing course.

See salaries and explore the career path for Ergonomist

Meteorologist

Meteorologists study the atmosphere and weather patterns. While not directly related, this A-Level Maths Mechanics course may be useful, particularly because it helps builds a strong foundation in physics and mathematical modeling. A deeper knowledge of the concepts in the course may improve your knowledge. The course content on kinematics, forces, and vectors may be useful for understanding atmospheric motion. Students planning to undertake meteorological study may find this course appealing.

See salaries and explore the career path for Meteorologist

Data Scientist

Data scientists analyze large datasets to extract meaningful insights and inform decision-making. While seemingly unrelated, the analytical skills developed in this A-Level Maths Mechanics course may be transferable to data science. The course emphasizes problem-solving, mathematical modeling, and the application of formulas, all of which are valuable in data analysis. Familiarity with mathematical concepts builds a solid foundation for understanding statistical methods which will improve a student's ability to succeed.

See salaries and explore the career path for Data Scientist

Software Engineer

Software engineers design, develop, test, and evaluate software applications and systems. This A-Level Maths Mechanics course may be useful as it helps build problem-solving and analytical skills. The course focuses on applying mathematical concepts to solve real-world problems, a skill that is valuable in software development. The course content on vectors and calculus may be useful in graphics programming or simulations. The student will gain experience with this course.

See salaries and explore the career path for Software Engineer

Financial Analyst

Financial analysts provide guidance to businesses and individuals making investment decisions. While seemingly unrelated, this A-Level Maths Mechanics course may be useful because it helps improve analytical and problem-solving skills. The course emphasizes mathematical modeling and the application of formulas, which are valuable in financial analysis. The problem solving practice in the worksheets may be useful for students.

See salaries and explore the career path for Financial Analyst

A-Level Maths

Mechanics (Year 1 / AS)

Here's a deal for you

What's inside

Learning objectives

Syllabus

Save this course

Activities

Career center

Reading list

Share

Similar courses