## Online Physics Course

Mathematics for High School Physics

Experienced with tutoring many high school students in Physics, Edouard realized that the difficulties of many of them did not lie within their understanding of Physics concepts, but in their capacity to manipulate mathematical tools. This is why he created and published an online course "Mathematics for High School Physics".

This course is aimed at providing Physics students with the mathematical tools they need for a smooth and enjoyable studying of their high school Physics course.

The video below (2-minute watch) presents the objective of the course and a summary of its content:

This course contains three main sections: Algebra (for rearranging equations), Vectors (very much used in Physics) and Trigonometry (to help with the various operations of vectors that occur in Physics).

The video below ( 5-minute watch) is a detailed presentation of the content of the course.

Access to the course

The course is available on UDEMY, and good news, I propose a major discount for all visitors of my website : You can access the 3 hours of videos and interactive exercises for just 10 US$ (instead of 40 US$). Click on the picture below to benefit from this coupon.

Note: Students Edouard follows on a regular basis have access to all the content for free (they are provided with a 100% discount coupon).

Detailed content of the course "Mathematics for High School 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 is 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 – Episode 1: 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 – Episode 2: Adding Vectors

Knowing how to add vectors to one another is crucial to any students in Physics. This episode will show 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?

This first episode of the Trigonometry section goes back to basics by discussing what are angles and how to convert and manipulate them.

Section 3 – Episode 2: Trigonometry Basics

This episode 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

Teaser Videos

Teaser 1: Trigonometry Basics

Cosine and Sine are functions of an angle that are extremely common in Physics. This video clarifies what they actually mean and highlight their practical uses in the context of Physics exercises and questions.

Teaser 2: Adding Vectors

Operations on vectors are an essential in Physics. After a short summary of the knowledge about vectors that has been already covered in a previous episode, this video shows how to add vectors to one another graphically.