Good fit for introductory math courses on both university and college level. Also a good fit for high school students (upper secondary).

Contains algebra, precalculus and calculus topics ranging from numbers to differentiation and integration.

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- Integers
- Calculating with integers
- Integers
- Division of integers

- Negative numbers
- Absolute value

- Fractions
- Fractions
- Equivalent fractions
- Simplifying fractions
- Addition and subtraction of fractions
- Multiplication and division of fractions
- Integer powers of fractions
- Decimal numbers

- Powers and roots
- Exponents
- Calculating with powers
- Roots of integers
- Roots of fractions
- Standard notation of higher roots
- Order of operations for powers and roots

- Variables
- Variables
- Sum and product of variables
- Substitution
- Simplification
- Simplification with algebraic rules

- Calculating with exponents and roots
- Integer powers
- Calculating with integer exponents
- Positive integer exponents
- Square roots
- Calculating with square roots
- Higher degree roots
- Calculating with fractional exponents
- Order of operations

- Expanding brackets
- Expanding brackets
- Expanding double brackets

- Factorization
- Factoring out
- Factorization

- Notable products
- The square of a sum or a difference
- The difference of two squares

- Adding and subtracting fractions
- Fractions
- Simplifying fractions
- Addition and subtraction of like fractions
- Making fractions similar
- Addition and subtraction of fractions
- Multiplication of fractions
- Division of fractions
- Fraction decomposition

- Formulas
- Formulas
- Dependent and independent variables
- Graphs

- Linear functions
- Linear formula
- Slope and intercept
- Composing a linear formula
- Parallel and intersecting linear formulas

- Linear equations and inequalities
- Linear equations
- The general solution of a linear equation
- Intersection points of linear formulas with the axes
- Intersection point of two linear formulas
- Linear inequalities
- General solution of a linear inequality

- An equation of a line
- A linear equation with two unknowns
- Solution of linear equations with two unknowns
- The equation of a line
- Composing the equation of a line

- Two equations with two unknowns
- Systems of linear equations
- Solving systems of linear equations by substitution
- Solving systems of equations by elimination
- General solution system of linear equations

- Parabola
- Quadratics
- Parabola

- Solving quadratic equations
- Quadratic equations
- Solving quadratic equations by factorization
- Solving quadratic equations by completing the square
- The quadratic formula

- Drawing parabolas
- Intersection of parabolas with the axes
- Vertex of a parabola
- Drawing of parabolas
- Transformations of parabolas

- Intersection points of parabolas
- Intersection points of a parabola with a line
- Intersection points of parabolas

- Quadratic inequalities
- Quadratic inequalities

- Domain and range
- Function and formula
- Function rule
- Intervals
- Domain
- Range

- Power functions
- Power functions
- Transformations of power functions
- Equations with power functions

- Higher degree polynomials
- Polynomials
- Equations with polynomials
- Solving higher degree polynomials with factorization
- Solving higher degree polynomials with the quadratic equation
- Higher degree inequalities

- Power functions and root functions
- Root functions
- Transformations of root functions
- Root equations
- Solving root equations with substitution
- Inverse functions

- Fractional functions
- Asymptotes and hyperbolas
- Power functions with negative exponents
- Transformations of power functions with negative exponents
- Linear fractional functions
- Linear fractional equations
- Inverse of linear fractional functions
- Quotient functions

- Exponential functions
- The exponential function
- Exponential equations
- Transformations of the exponential function

- Logarithmic functions
- The logarithmic function
- Logarithmic equations
- Exponential equations
- Isolating variables
- Rules for logarithms
- More logarithmic equations
- Change of base
- Solving equations using substitution
- Graph of logarithmic functions
- Transformations of the logarithmic function

- Angles with sine, cosine, and tangent
- Angles
- Triangles
- Rules for fight-angled triangles
- Angles in radians
- Symmetry in the unit circle
- Special values of trigonometric functions
- Addition formulas for trigonometric functions
- Sine & cosine rules

- Trigonometric functions
- Trigonometric functions
- Transformations of trigonometric functions
- Inverse trigonometric functions
- Trigonometric equations

- Lines
- Different descriptions of a line
- Angles between lines
- Perpendicular lines
- Distance point and line

- Circles
- Different descriptions of a circle
- Intersections of a line and a circle
- Tangent line to a circle
- Intersections of circles
- Distance to a circle

- Parametric curves
- Parametric curves
- Lissajous figures
- Vectors
- Vectors and parametric equations
- Derivatives of parametric curves

- The derivative
- The differene quotient
- The difference quotient at a point
- The tangent line
- The notion of derivative

- The derivative of power functions
- The derivative of power functions

- Sum and product rule
- The sum rule
- The product rule

- Chain rule
- Composite functions
- The chain rule

- The derivative of standard functions
- The derivative of trigonometric functions
- The base e and the natural logarithm
- The derivative of the natural logarithm
- The derivative of exponential functions and logarithms

- The quotient rule
- The quotient rule

- Applications of derivatives
- Increasing and decreasing
- Extreme values
- The second derivative
- Types of increasing and decreasing
- Inflection points
- Higher order derivatives

- Antiderivatives
- The antiderivative of a function
- The antiderivative of a power function
- Rules of calculation for antiderivatives
- Antiderivatives of known functions
- Antiderivatives and the chain rule

- The definite integral
- Definite integral
- Area
- Area of a surface between curves
- Area between curves
- Solid of revolution

- Integration techniques
- Substitution method
- Trigonometric integrals
- Integration by parts
- Repeated integration by parts
- Known antiderivatives of some quotient functions
- Long division with polynomials
- Finding the antiderivatives of quotient functions