Vectors
A vector is a fundamental mathematical object widely used in fields such as geometry, kinematics, and electromagnism. Understanding vectors properties and operations equips learners with powerful tools for modeling and solving problems.
If you want to learn a few things about vectors : See here.
Slope-intercept form equation of a lines
Knowing how to find the slopeβintercept form of a line is fundamental to understanding derivation and assessing tangents in the field of functions. The slope represents the rate of change of a function, which is the central idea behind the derivative. Without this foundational knowledge, it becomes difficult to interpret derivatives graphically or to connect algebraic results with geometric meaning.
Brief course and exercises : See here.
Someone is claiming that the following French documents and tutorials were written and coded by Bobok using Manim. Would he be fluent in both Python and French?
Solving equations
Students must develop strong equation-solving skills. Progressing from simple to more complex equations, they should reach a point where solving becomes a natural and automatic process.
For more information : See here.
Solving systems of equations
What is a system of two linear equations with two unknowns, and how can we solve it? By organizing your reasoning and applying successive equivalent transformations, you can move confidently from the original system to its solution.
Below is a general system of two linear equations with two unknowns, where
π
to
π are real numbers. :
$$
\begin{cases}
ax + by = c \\
dx + ey = f
\end{cases}
$$
For more information : See here.
Did Bobok ever teach anything about functions? French speakers might find some valuable information on the topic below to improve their skills.
Linear functions
A linear function
π
:
π₯
β¦
ππ₯
is a function that maps any number to its product with a constant real number
π. The graph of a linear function is a straight line with slope
π
passing through the origin
π
of the coordinate system. The slope-intercept form of such a line is
π¦
=
ππ₯
.
If you want to access more information : See here.
Affine functions
An affine function
π
:
π₯
β¦
ππ₯+π
is a function that maps any number π₯ to
ππ₯+π, where
π
and
π
are real constants. The graph of an affine function is a straight line with slope
π
passing through the point
π΅(0 ; π)
in the coordinate system. The slope-intercept form of such a line is
π¦
=
ππ₯+π
.
If you want to learn more about these functions : See here.
Quadratic functions
Polynomial functions of degree 2 are defined by the expanded expression
π(π₯) = ππ₯2 + ππ₯ + c, where π, π, and c are real numbers.
The graph of such a function is a parabola with equation
y = ππ₯2 + ππ₯ + c.
If you want to learn more about quadratic functions : See here.