Udemy
    •  
    •  
    •  
    •  
    •  
    •  
    •  
    •  
Subscribe
Turn what you know into an opportunity and reach millions around the world.
Learn More
Your cart is empty.
Keep shopping
Mathematics for High School Physics
Rating: 4.7 out of 5(55 ratings)
377 students

Mathematics for High School Physics

Building a bridge between Maths and Physics
Created byEdouard Reny
Last updated 8/2018
English

What you'll learn

  • Use maths effectively when solving exercises in Physics. Students following this course seriously will eliminate the ‘math’ factor in their ability to solve problems in Physics: using Maths will not be a problem anymore for them, instead, it will have become a strength.
  • Enjoy the benefits of having a mathematical Swiss Knife available to solve Physics questions in all areas where vectors are used (Mechanics, Electric fields, Gravitational fields etc…).
  • Be able to immediately see which one mathematical tool to use depending on the situation.
  • Rearrange equations smoothly and reliably.
  • Manipulate and add vectors graphically and algebraically.
  • Determine vector coordinates. Convert vector coordinates from Polar to Cartesian (and vice versa).
  • Apply mathematical tools on vectors to Physics Problems (for example, calculating a net force).
  • Feel comfortable with trigonometry.
  • Have a clear view of what is an angle.
  • Understand what the cosine, the sine and the tangent of an angle actually are, practically.
  • Use trigonometry effectively to solve Physics questions with vectors (for example, calculating magnitude and direction of a vector quantity).
  • Realize that the Unit Circle is an incredible ally.
  • Estimate Sine and Cosine of an angle without a calculator.
  • Represent graphically other trigonometric functions like cotangent, cosec, sec etc…

Course content

4 sections • 13 lectures • 2h 47m total length

  • Introduction2:05

    Short trailer video presenting the objectives and content of this course.

    This course is a bridge between the Maths and the Physics that are taught during the two last years of High School.

    Objective: Provide Students with the mathematical tools they need for a smooth and enjoyable studying of their high school Physics course.

    Content: 3 main sections

    1/ Algebra for Physics

    2/ Vectors for Physics

    3/ Trigonometry for Physics

  • Table of contents5:24

    In High School Physics, maths is just a tool… like a hammer or a screwdriver. This course shows you how to use such a tool, in the perspective of a physicist, meaning a practical perspective.

    In 5 minutes, this video presents in more detail the content of the course “Mathematics for High School Physics”

    This course contains three mains sections:

    1 - Algebra for Physics

    2 - Vectors for Physics

    3 - Trigonometry for Physics

     

    1 - Algebra for Physics

    The algebra section teaches how to rearrange Physics equations.


    Section 1 – Episode 1: Algebra for Physics

    This first episode reminds the student what a mathematical term is and why this notion is important in regards to rearranging equations. The video discusses on the meaning of the equal sign. It also refreshes some useful notions on fractions. That done, it dives in. The student will learn how to rearrange equations easily using reliable tricks and shortcuts. This video concludes with an exercise: Isolating a variable in an equation involving energy.


    Section 1 – Episode 2: Algebra for Physics, training exercises

    The second algebra video train the student in rearranging a half dozen equations taken from electric and magnetic fields, motion, oscillations and electric circuits. No prior understanding of these subjects are necessary to manage these exercises. Their resolution only requires algebra.

     


    2 – Vectors for Physics

    The vector section teaches all that is required to know about Vectors in regards to solving Physics question.

     

    Section 2 – Episode1: What is a vector?

    The first video discusses what a vector is. Then, it presents two ways of describing it using either Cartesian coordinates or Polar coordinates. Finally, this episode teaches how to convert a set of vector coordinates from one type to the other. This operation is incredibly common and useful in Physics.


    Section 2 – Episode2: Adding vectors

    Knowing how to add vectors to one another is crucial to any students in Physics. This episode will shows how to do so graphically and algebraically. It contains formal lessons and solved examples.

     

    Section 2 – Episode 3: Solving Physics problems with vectors (in 1D and 2D)

    The third video shows how the maths about vectors presented in episode 1 and 2 come together. It teaches how to solve Physics problems with vectors in 1 dimension, and in 2 dimensions.

     

    Section 2 – Episode 4: Vectors – Training exercises

    The final video of this section is composed of two full blown exercises that involve vectors. The first exercise deals with electric charges, and the second one, with gravitational forces. Actually, the student is required to use his/ hers understanding of vectors to save a spaceship lost in an asteroid field! These questions can be solved without any prior knowledge of electrical and gravitational fields.

     

    3 – Trigonometry for Physics

    The Trigonometry section is composed of 5 episodes. It is aimed at teaching the student the trigonometric notions he or she needs while following a Physics course at high school level.

     

    Section 3 – Episode 1:  What is an angle?

    The first video goes back to basics by discussing what are angles and how to convert and manipulate them.


    Section 3 – Episode 2:  Introduction to trigonometry

    The second video is an introduction to trigonometry: It teaches what is a cosine, what is a sine, what is a tangent and how to use these. This episode links these notions to the coordinates of a vectors: This is where the student realizes that all pieces of knowledge seen up to now start matching each other like in a puzzle.

     

    Section 3 – Episode 3:  Training exercises with vectors and trigonometry.

    The third episode is a set of applied physics exercises that blend trigonometric notions with vectors. If the student works on these exercises diligently by following the instructions in the video, he/she will learn to master the link between vectors and trigonometry.

     

    Section 3 – Episode 4:  The Unit Circle

    The 4th episode presents the Unit Circle, a notion most students will have already heard about. This video shows how extremely useful this representation can be in Physics. This video is full of tips!

     

    Section 3 – Episode 5:  The Unit Circle (advanced)

    The last video of this course goes a little deeper in the unit circle by showing how to represent graphically other trigonometric functions such as tan, co-tan, sec and cosec?


    All episodes, even lesson -oriented ones, contain exercises and training questions.

     

     

Requirements

  • For optimal enjoyment and effectiveness in following this course, students should have minimal scholar level in Maths and Physics corresponding to Grades 8 or 9 (last years of Middle School).
  • Students will need some paper, a pen and a basic scientific calculator.

Description

  • You are currently going through your 2 last years of high school and you took Physics.

  • You are in Grade 10, and you are about to take on Physics next year.

  • You are preparing a High School End Exam in Physics (IB, A-Level, AP etc.)

And you are experiencing trouble with exercises that involve:

_ Rearranging equations (Algebra)
_ Manipulating vectors
_ Applying trigonometry


Then, this course is for you!

 

Physics is a truly fascinating subject: What you will learn in high school compiles what humanity knows about the world around us, from the hugeness of our universe to the incredible wildness of the infinitely small (particle physics). This exploration is full of wonders and can really amaze you… That is, if you do not stumble on the notions of mathematics that are needed.

I am a physics teacher, and some of my students get really stuck in Physics, just because of the Maths. They have trouble applying what they learn in Math class to Physics. This is really a shame, and a big loss to them, because the principles in Physics are quite simple and easy to understand. To fix this, I created this course. See it as a bridge between Maths and Physics.

Please note that this course is not a rigorous mathematics class: the focus here is to help the student apply the mathematical tools needed to solve high school physics problems!

In this course, I review with you all the Math you need to feel comfortable in your study of Physics at high school level. This course is actually a 3-in-1: There are three sections.

  • “Algebra for Physics” teaches how to rearrange physics equations effectively and reliably.

  • “Vectors for Physics” explains what are vectors, how to use and manipulate them with ease.

  • “Trigonometry for Physics” dives into the Trigonometric notions you need in Physics.

As a bonus, tons of little practical tips are dispersed in the course. These will make your life as a physics student much easier!

 

Follow this course with a pen, a paper, a calculator nearby, and be ready to pause the videos. Lessons are punctuated with solved examples and questions for you to train on. There are also videos that compile full exercises. I solve all of them in detail on a white board. You can also access to these exercises as pdf files attached to the videos.

If you take this course, follow it diligently and work on all the exercises. That will guarantee, that Maths will never be a problem again in your studying of High School Physics.

Who this course is for:

  • Students currently following a Physics course in High School (IB Physics, A-Level Physics, AP Physics, Baccalaureat etc…).
  • Students about to start a Physics course at High School.
  • Students preparing for a High School end-year exam in Physics and who wish to brush up on the Maths they need in Physics.
  • Advanced Middle School student that wishes to get a glimpse of what lies ahead in regards to Maths applied to Physics.

Report abuse