RedCrab Math Tutorial

# RedCrab Math Tutorial

## Arithmetic

Natural, rational and real numbers
Complex numbers
Complex numbers & polar coordinates
Sets
Roots & power
Percentage Calculation
Calculation of interest
Matrices
Absolute value of a numberl
Euclidean division
Modulo - remainder of a division

## Complex Numbers

Basics of complex numbers
Computing with complex numbers
Addition and subtraction of complex numbers
Multiplication of complex numbers
Conjugate complex numbers
Division of complex numbers
Geometric representation of complex numbers
Absolte value of a complex number
The polar form of complex numbers
Calculate polar form
Convert polar form to normal
Multiplication in polar form
Division in polar form

## Matrices

Matrices Definition
Matrices Calculation
Matrices and Simultaneous Equations
Matrices and Determinants
Row Operations of Matrices
Matrices and Geometry, Reflection
Matrices and Geometry, Plane Rotation

## Geometry

Points, Distance and Midpoints
Distance between Points
Angle definition and Relationships
Lines and Segments of Triangles
Right Triangles and Pythagorean Theorem
Circle
Rectange
Rhomboid
Rhombus
Square
Trapezoid
Cone
Pyramid
Sphere
Spherical Segment

## Electrical engineering

Resistor and Conductance
Ohm's Law
Resistivity and Conductance
Resistors in Series
Resistors in Parallel
Wire Voltage Loss
Power

## Vectors

Vector Definition
Vector Calculation