Kurse
Ãœber Sowiso
Kontakt
Freischalten 
English
Kurse
Ãœber Sowiso
Kontakt
Freischalten 
English
Basic Math with applications (Economics)
Verfügbare Sprachen: 
nlenfres
Kursinhalt
Numbers
Integers
THEORIE
T
1.
Integers
ÃœBUNG
Ã
2.
Integers
7
THEORIE
T
3.
Ordering of integers
ÃœBUNG
Ã
4.
Ordering of integers
8
THEORIE
T
5.
Sum, terms, product and factors
ÃœBUNG
Ã
6.
Sum, terms, product and factors
5
THEORIE
T
7.
Divisors
ÃœBUNG
Ã
8.
Divisors
6
THEORIE
T
9.
Order of operations
ÃœBUNG
Ã
10.
Order of operations
8
THEORIE
T
11.
Factorization
ÃœBUNG
Ã
12.
Factorization
5
THEORIE
T
13.
Prime numbers
ÃœBUNG
Ã
14.
Prime numbers
5
THEORIE
T
15.
Prime factorization
ÃœBUNG
Ã
16.
Prime factorization
Kompletten Zugriff freischalten locked
THEORIE
T
17.
Greatest common divisor and least common multiple
ÃœBUNG
Ã
18.
Greatest common divisor and least common multiple
Kompletten Zugriff freischalten locked
Negative numbers
THEORIE
T
1.
Adding and subtracting negative numbers
ÃœBUNG
Ã
2.
Adding and subtracting negative numbers
Kompletten Zugriff freischalten locked
THEORIE
T
3.
Multiplying negative numbers
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
4.
Multiplying negative numbers
Kompletten Zugriff freischalten locked
THEORIE
T
5.
Dividing negative numbers
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
6.
Dividing negative numbers
Kompletten Zugriff freischalten locked
THEORIE
T
7.
Opposite numbers
ÃœBUNG
Ã
8.
Opposite numbers
Kompletten Zugriff freischalten locked
THEORIE
T
9.
Absolute value
ÃœBUNG
Ã
10.
Absolute value
Kompletten Zugriff freischalten locked
Fractions
THEORIE
T
1.
Fractions
ÃœBUNG
Ã
2.
Fractions
Kompletten Zugriff freischalten locked
THEORIE
T
3.
Equivalent fractions
ÃœBUNG
Ã
4.
Equivalent fractions
Kompletten Zugriff freischalten locked
THEORIE
T
5.
Negative fractions
ÃœBUNG
Ã
6.
Negative fractions
Kompletten Zugriff freischalten locked
THEORIE
T
7.
Simplifying Fractions
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
8.
Simplifying Fractions
Kompletten Zugriff freischalten locked
THEORIE
T
9.
Adding and subtracting fractions with like denominators
ÃœBUNG
Ã
10.
Adding and subtracting fractions with like denominators
Kompletten Zugriff freischalten locked
THEORIE
T
11.
Writing fractions with like denominators
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
12.
Writing fractions with like denominators
Kompletten Zugriff freischalten locked
THEORIE
T
13.
Addition and subtraction of fractions
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
14.
Addition and subtraction of fractions
Kompletten Zugriff freischalten locked
THEORIE
T
15.
Convenient addition and subtraction of fractions
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
16.
Convenient addition and subtraction of fractions
8
THEORIE
T
17.
Multiplication of fractions
ÃœBUNG
Ã
18.
Multiplication of fractions
Kompletten Zugriff freischalten locked
THEORIE
T
19.
Reciprocal of a fraction
ÃœBUNG
Ã
20.
Reciprocal of a fraction
Kompletten Zugriff freischalten locked
THEORIE
T
21.
Division of fractions
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
22.
Division of fractions
Kompletten Zugriff freischalten locked
Powers and roots
THEORIE
T
1.
Powers
ÃœBUNG
Ã
2.
Powers
Kompletten Zugriff freischalten locked
THEORIE
T
3.
Fractions raised to an integer power
ÃœBUNG
Ã
4.
Fractions raised to an integer power
Kompletten Zugriff freischalten locked
THEORIE
T
5.
Calculation rules for powers
ÃœBUNG
Ã
6.
Calculation rules for powers
Kompletten Zugriff freischalten locked
THEORIE
T
7.
Negative exponents
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
8.
Negative exponents
Kompletten Zugriff freischalten locked
THEORIE
T
9.
Square roots
ÃœBUNG
Ã
10.
Square roots
Kompletten Zugriff freischalten locked
THEORIE
T
11.
Calculation rules for roots
ÃœBUNG
Ã
12.
Calculation rules for roots
Kompletten Zugriff freischalten locked
THEORIE
T
13.
Roots of fractions
ÃœBUNG
Ã
14.
Roots of fractions
Kompletten Zugriff freischalten locked
THEORIE
T
15.
Standard notation of roots
ÃœBUNG
Ã
16.
Standard notation of roots
Kompletten Zugriff freischalten locked
THEORIE
T
17.
Higher roots
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
18.
Higher roots
Kompletten Zugriff freischalten locked
THEORIE
T
19.
Calculation rules for higher roots
ÃœBUNG
Ã
20.
Calculation rules for higher roots
Kompletten Zugriff freischalten locked
THEORIE
T
21.
Standard notation of higher roots
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
22.
Standard notation of higher roots
Kompletten Zugriff freischalten locked
THEORIE
T
23.
Order of operations with powers and roots
ÃœBUNG
Ã
24.
Order of operations with powers and roots
Kompletten Zugriff freischalten locked
THEORIE
T
25.
Irrational numbers
ÃœBUNG
Ã
26.
Irrational numbers
Kompletten Zugriff freischalten locked
Ratios
THEORIE
T
1.
Decimal numbers
ÃœBUNG
Ã
2.
Decimal numbers
Kompletten Zugriff freischalten locked
THEORIE
T
3.
Ordering of decimal numbers
ÃœBUNG
Ã
4.
Ordering of decimal numbers
Kompletten Zugriff freischalten locked
THEORIE
T
5.
Rounding numbers
ÃœBUNG
Ã
6.
Rounding numbers
Kompletten Zugriff freischalten locked
THEORIE
T
7.
Percentages
ÃœBUNG
Ã
8.
Percentages
Kompletten Zugriff freischalten locked
THEORIE
T
9.
Ratios
ÃœBUNG
Ã
10.
Ratios
Kompletten Zugriff freischalten locked
THEORIE
T
11.
Fractions, decimals, percentages, and ratios
ÃœBUNG
Ã
12.
Fractions, decimals, percentages, and ratios
Kompletten Zugriff freischalten locked
Algebra
Variables
THEORIE
T
1.
Variables
ÃœBUNG
Ã
2.
Variables
4
THEORIE
T
3.
Sum and product of variables
ÃœBUNG
Ã
4.
Sum and product of variables
5
THEORIE
T
5.
Substitution
ÃœBUNG
Ã
6.
Substitution
7
THEORIE
T
7.
Simplification
ÃœBUNG
Ã
8.
Simplification
5
THEORIE
T
9.
Simplification with algebraic rules
ÃœBUNG
Ã
10.
Simplification with algebraic rules
Kompletten Zugriff freischalten locked
Calculating with exponents and roots
THEORIE
T
1.
Integer exponents
ÃœBUNG
Ã
2.
Integer exponents
7
THEORIE
T
3.
Calculating with integer exponents
ÃœBUNG
Ã
4.
Calculating with integer exponents 1
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
5.
Calculating with integer exponents 2
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
6.
Calculating with integer exponents 3
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
7.
Calculating with integer exponents 4
Kompletten Zugriff freischalten locked
THEORIE
T
8.
Square roots
ÃœBUNG
Ã
9.
Square roots
Kompletten Zugriff freischalten locked
THEORIE
T
10.
Calculating with square roots
ÃœBUNG
Ã
11.
Calculating with square roots
Kompletten Zugriff freischalten locked
THEORIE
T
12.
Higher degree roots
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
13.
Higher degree roots
Kompletten Zugriff freischalten locked
THEORIE
T
14.
Calculating with fractional exponents
ÃœBUNG
Ã
15.
Calculating with fractional exponents
Kompletten Zugriff freischalten locked
THEORIE
T
16.
Order of operations
ÃœBUNG
Ã
17.
Order of operations
Kompletten Zugriff freischalten locked
Expanding brackets
THEORIE
T
1.
Expanding brackets
ÃœBUNG
Ã
2.
Expanding brackets 1
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
3.
Expanding brackets 2
Kompletten Zugriff freischalten locked
THEORIE
T
4.
Expanding double brackets
THEORIE
T
5.
Video Explanation (Expanding brackets)
ÃœBUNG
Ã
6.
Expanding double brackets 1
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
7.
Expanding double brackets 2
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
8.
Expanding double brackets 3
Kompletten Zugriff freischalten locked
Factorization
THEORIE
T
1.
Factoring out
ÃœBUNG
Ã
2.
Factoring out
Kompletten Zugriff freischalten locked
THEORIE
T
3.
Factorization
ÃœBUNG
Ã
4.
Factorization 2
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
5.
Factorization 3
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
6.
Factorization 4
Kompletten Zugriff freischalten locked
Notable Products
THEORIE
T
1.
The square of a sum or a difference
ÃœBUNG
Ã
2.
The square of a sum or a difference
Kompletten Zugriff freischalten locked
THEORIE
T
3.
The difference of two squares
ÃœBUNG
Ã
4.
The difference of two squares
Kompletten Zugriff freischalten locked
Adding and subtracting fractions
THEORIE
T
1.
Fractions
ÃœBUNG
Ã
2.
Fractions
Kompletten Zugriff freischalten locked
THEORIE
T
3.
Simplifying fractions
ÃœBUNG
Ã
4.
Simplifying fractions
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
5.
Simplifying fractions
Kompletten Zugriff freischalten locked
THEORIE
T
6.
Addition and subtraction of like fractions
ÃœBUNG
Ã
7.
Addition and subtraction of like fractions
Kompletten Zugriff freischalten locked
THEORIE
T
8.
Making fractions similar
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
9.
Making fractions similar
Kompletten Zugriff freischalten locked
THEORIE
T
10.
Addition and subtraction of fractions
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
11.
Addition and subtraction of fractions
Kompletten Zugriff freischalten locked
THEORIE
T
12.
Multiplication of fractions
ÃœBUNG
Ã
13.
Multiplication of fractions
Kompletten Zugriff freischalten locked
THEORIE
T
14.
Division of fractions
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
15.
Division of fractions
Kompletten Zugriff freischalten locked
THEORIE
T
16.
Fraction decomposition
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
17.
Fraction decomposition
Kompletten Zugriff freischalten locked
Linear formulas and equations
Formulas
THEORIE
T
1.
Formulas
ÃœBUNG
Ã
2.
Formulas
9
THEORIE
T
3.
Dependent and independent variables
ÃœBUNG
Ã
4.
Dependent and independent variables
5
THEORIE
T
5.
Graphs
THEORIE
T
6.
Video Explanation (Graph from a table)
ÃœBUNG
Ã
7.
Graphs
8
Linear functions
THEORIE
T
1.
Linear formula
ÃœBUNG
Ã
2.
Linear formula
6
THEORIE
T
3.
Slope and intercept
ÃœBUNG
Ã
4.
Slope and intercept
Kompletten Zugriff freischalten locked
THEORIE
T
5.
Composing a linear formula
THEORIE
T
6.
Video Explanation (Composing a linear formula)
ÃœBUNG
Ã
7.
Composing a linear formula
Kompletten Zugriff freischalten locked
THEORIE
T
8.
Parallel and intersecting linear formulas
ÃœBUNG
Ã
9.
Parallel and intersecting linear formulas
Kompletten Zugriff freischalten locked
Linear equations and inequalities
THEORIE
T
1.
Linear equations
ÃœBUNG
Ã
2.
Linear equations
Kompletten Zugriff freischalten locked
THEORIE
T
3.
The general solution of a linear equation
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
4.
The general solution of a linear equation
Kompletten Zugriff freischalten locked
THEORIE
T
5.
Intersection points of linear formulas with the axes
ÃœBUNG
Ã
6.
Intersection points of linear formulas with the axes
Kompletten Zugriff freischalten locked
THEORIE
T
7.
Intersection point of two linear formulas
ÃœBUNG
Ã
8.
Intersection point of two linear formulas
Kompletten Zugriff freischalten locked
THEORIE
T
9.
Linear inequalities
ÃœBUNG
Ã
10.
Linear inequalities
Kompletten Zugriff freischalten locked
THEORIE
T
11.
General solution of a linear inequality
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
12.
General solution of a linear inequality
Kompletten Zugriff freischalten locked
Applications: Linear formulas and equations
ÃœBUNG
Ã
1.
Linear formulas and equations
13
Systems of linear equations
An equation of a line
THEORIE
T
1.
A linear equation with two unknowns
ÃœBUNG
Ã
2.
A linear equation with two unknowns
5
THEORIE
T
3.
Solution linear equation with two unknowns
ÃœBUNG
Ã
4.
Solution linear equation with two unknowns
Kompletten Zugriff freischalten locked
THEORIE
T
5.
The equation of a line
ÃœBUNG
Ã
6.
The equation of a line
Kompletten Zugriff freischalten locked
THEORIE
T
7.
Composing the equation of a line
ÃœBUNG
Ã
8.
Composing the equation of a line
Kompletten Zugriff freischalten locked
Two equations with two unknowns
THEORIE
T
1.
Systems of linear equations
ÃœBUNG
Ã
2.
Systems of linear equations
Kompletten Zugriff freischalten locked
THEORIE
T
3.
Solving systems of linear equations by substitution
ÃœBUNG
Ã
4.
Solving systems of linear equations by substitution
Kompletten Zugriff freischalten locked
THEORIE
T
5.
Solving systems of equations by elimination
THEORIE
T
6.
Video Explanation (Solving systems of equations by elimination)
ÃœBUNG
Ã
7.
Solving systems of equations by elimination
Kompletten Zugriff freischalten locked
THEORIE
T
8.
General solution system of linear equations
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
9.
General solution system of linear equations
Kompletten Zugriff freischalten locked
Applications: Systems of linear equations
ÃœBUNG
Ã
1.
Systems of linear equations
11
Quadratic equations
Parabola
THEORIE
T
1.
Quadratics
ÃœBUNG
Ã
2.
Quadratics
8
THEORIE
T
3.
Parabola
ÃœBUNG
Ã
4.
Parabola
6
Solving quadratic equations
THEORIE
T
1.
Quadratic equations
ÃœBUNG
Ã
2.
Quadratic equations
Kompletten Zugriff freischalten locked
THEORIE
T
3.
Solving quadratic equations by factorization
ÃœBUNG
Ã
4.
Solving quadratic equations by factorization
Kompletten Zugriff freischalten locked
THEORIE
T
5.
Solving quadratic equations by completing the square
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
6.
Solving quadratic equations by completing the square
Kompletten Zugriff freischalten locked
THEORIE
T
7.
The quadratic formula
ÃœBUNG
Ã
8.
The quadratic formula 1
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
9.
The quadratic formula 2
Kompletten Zugriff freischalten locked
Drawing parabolas
THEORIE
T
1.
Intersection of parabolas with the axes
ÃœBUNG
Ã
2.
Intersections of parabolas with the axes
Kompletten Zugriff freischalten locked
THEORIE
T
3.
Vertex of a parabola
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
4.
Vertex of a parabola
Kompletten Zugriff freischalten locked
THEORIE
T
5.
Drawing of parabolas
ÃœBUNG
Ã
6.
Drawing of parabolas
Kompletten Zugriff freischalten locked
THEORIE
T
7.
Transformations of parabolas
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
8.
Transformations of parabolas
Kompletten Zugriff freischalten locked
Intersection points of parabolas
THEORIE
T
1.
Intersection points of a parabola with a line
ÃœBUNG
Ã
2.
Intersection points of a parabola with a line
Kompletten Zugriff freischalten locked
THEORIE
T
3.
Intersection points of parabolas
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
4.
Intersection points of parabolas
Kompletten Zugriff freischalten locked
Quadratic inequalities
THEORIE
T
1.
Quadratic inequalities
ÃœBUNG
Ã
2.
Quadratic inequalities
Kompletten Zugriff freischalten locked
Applications: Quadratic equations
ÃœBUNG
Ã
1.
Quadratic equations
19
Functions
Domain and range
THEORIE
T
1.
Function and formula
ÃœBUNG
Ã
2.
Function and formula
6
THEORIE
T
3.
Function rule
ÃœBUNG
Ã
4.
Function rule
5
THEORIE
T
5.
Intervals
ÃœBUNG
Ã
6.
Intervals
8
THEORIE
T
7.
Domain
ÃœBUNG
Ã
8.
Domain
6
THEORIE
T
9.
Range
ÃœBUNG
Ã
10.
Range
6
Power functions
THEORIE
T
1.
Power functions
ÃœBUNG
Ã
2.
Power functions
Kompletten Zugriff freischalten locked
THEORIE
T
3.
Transformations of power functions
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
4.
Transformations of power functions
Kompletten Zugriff freischalten locked
THEORIE
T
5.
Equations with power functions
ÃœBUNG
Ã
6.
Equations with power functions
Kompletten Zugriff freischalten locked
Higher degree polynomials
THEORIE
T
1.
Polynomials
ÃœBUNG
Ã
2.
Polynomials
Kompletten Zugriff freischalten locked
THEORIE
T
3.
Equations with polynomials
ÃœBUNG
Ã
4.
Equations with polynomials
Kompletten Zugriff freischalten locked
THEORIE
T
5.
Solving higher degree polynomials with factorization
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
6.
Solving higher degree polynomials with factorization
Kompletten Zugriff freischalten locked
THEORIE
T
7.
Solving higher degree polynomials with the quadratic formula
ÃœBUNG
Ã
8.
Solving higher degree polynomials with the quadratic formula
Kompletten Zugriff freischalten locked
THEORIE
T
9.
Higher degree inequalities
ÃœBUNG
Ã
10.
Higher degree inequalities
Kompletten Zugriff freischalten locked
Power functions and root functions
THEORIE
T
1.
Root function
ÃœBUNG
Ã
2.
Root functions
Kompletten Zugriff freischalten locked
THEORIE
T
3.
Transformations of root functions
ÃœBUNG
Ã
4.
Transformations of root functions
Kompletten Zugriff freischalten locked
THEORIE
T
5.
Root equations
ÃœBUNG
Ã
6.
Root equations
Kompletten Zugriff freischalten locked
THEORIE
T
7.
Solving root equations with substitution
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
8.
Solving root equations with substitution
Kompletten Zugriff freischalten locked
THEORIE
T
9.
Inverse functions
ÃœBUNG
Ã
10.
Inverse functions
Kompletten Zugriff freischalten locked
Fractional functions
THEORIE
T
1.
Asymptotes and hyperbolas
ÃœBUNG
Ã
2.
Asymptotes and hyperbolas
Kompletten Zugriff freischalten locked
THEORIE
T
3.
Power functions with negative exponents
ÃœBUNG
Ã
4.
Power functions with negative exponents
Kompletten Zugriff freischalten locked
THEORIE
T
5.
Transformations of power functions with negative exponents
ÃœBUNG
Ã
6.
Transformations of power functions with negative exponents
Kompletten Zugriff freischalten locked
THEORIE
T
7.
Linear fractional functions
ÃœBUNG
Ã
8.
Linear fractional functions
Kompletten Zugriff freischalten locked
THEORIE
T
9.
Linear fractional equations
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
10.
Linear fractional equations
Kompletten Zugriff freischalten locked
THEORIE
T
11.
Inverse of linear fractional function
ÃœBUNG
Ã
12.
Inverse of linear fractional function
Kompletten Zugriff freischalten locked
THEORIE
T
13.
Quotient functions
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
14.
Quotient functions
Kompletten Zugriff freischalten locked
THEORIE
T
15.
Long division with polynomials
ÃœBUNG
Ã
16.
Long division with polynomials
Kompletten Zugriff freischalten locked
Applications: Functions
ÃœBUNG
Ã
1.
Functions
20
Exponential functions and logarithms
Exponential functions
THEORIE
T
1.
The exponential function
ÃœBUNG
Ã
2.
The exponential function
4
THEORIE
T
3.
Exponential equations
ÃœBUNG
Ã
4.
Exponential equations
6
THEORIE
T
5.
Transformations of the exponential function
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
6.
Transformations of the exponential function
Kompletten Zugriff freischalten locked
Logarithmic functions
THEORIE
T
1.
The logarithmic function
ÃœBUNG
Ã
2.
The logarithmic function
8
THEORIE
T
3.
Logarithmic equations
ÃœBUNG
Ã
4.
Logarithmic equations
Kompletten Zugriff freischalten locked
THEORIE
T
5.
Exponential equations
ÃœBUNG
Ã
6.
Exponential equations
Kompletten Zugriff freischalten locked
THEORIE
T
7.
Isolating variables
ÃœBUNG
Ã
8.
Isolating variables
Kompletten Zugriff freischalten locked
THEORIE
T
9.
Rules for logarithms
ÃœBUNG
Ã
10.
Rules for logarithms
Kompletten Zugriff freischalten locked
THEORIE
T
11.
More logarithmic equations
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
12.
More logarithmic equations
Kompletten Zugriff freischalten locked
THEORIE
T
13.
Change of base
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ÃœBUNG
Ã
14.
Change of base
Kompletten Zugriff freischalten locked
THEORIE
T
15.
Solving equations using substitution
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ÃœBUNG
Ã
16.
Solving equations using substitution
Kompletten Zugriff freischalten locked
THEORIE
T
17.
Graph of logarithmic function
ÃœBUNG
Ã
18.
Graph of logarithmic function
Kompletten Zugriff freischalten locked
THEORIE
T
19.
Transformations of the logarithmic function
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
20.
Transformations of the logarithmic function
Kompletten Zugriff freischalten locked
The base e and the natural logarithm
THEORIE
T
1.
The base e and the natural logarithm
ÃœBUNG
Ã
2.
The base e and the natural logarithm
Kompletten Zugriff freischalten locked
Applications: Exponential functions and logarithms
THEORIE
T
1.
Growth rates and compound interest
ÃœBUNG
Ã
2.
Exponential functions and logarithms
3
Trigonometry
Angles with sine, cosine and tangent
THEORIE
T
1.
Angles
ÃœBUNG
Ã
2.
Angles
1
THEORIE
T
3.
Triangles
ÃœBUNG
Ã
4.
Triangles
1
THEORIE
T
5.
Rules for right-angled triangles
THEORIE
T
6.
Video Explanation (Pythagorean theorem)
ÃœBUNG
Ã
7.
Rules for right-angled triangles 1
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
8.
Rules for right-angled triangles 2
Kompletten Zugriff freischalten locked
THEORIE
T
9.
Unit circle and angles in radians
ÃœBUNG
Ã
10.
Unit circle and angles in radians
Kompletten Zugriff freischalten locked
THEORIE
T
11.
Symmetry in the unit circle
ÃœBUNG
Ã
12.
Symmetry in the unit circle
Kompletten Zugriff freischalten locked
THEORIE
T
13.
Special values of trigonometric functions
ÃœBUNG
Ã
14.
Special values of trigonometric functions
Kompletten Zugriff freischalten locked
THEORIE
T
15.
Addition formulas for trigonometric functions
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
16.
Addition formulas for trigonometric functions
Kompletten Zugriff freischalten locked
THEORIE
T
17.
Sine and cosine rules
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
18.
Sine and cosine rules
Kompletten Zugriff freischalten locked
Trigonometric functions
THEORIE
T
1.
Trigonometric functions
ÃœBUNG
Ã
2.
Trigonometric functions
Kompletten Zugriff freischalten locked
THEORIE
T
3.
Transformations of trigonometric functions
THEORIE
T
4.
Video Explanation (draw sine using transformation)
ÃœBUNG
Ã
5.
Transformations of trigonometric functions
Kompletten Zugriff freischalten locked
THEORIE
T
6.
Inverse trigonometric functions
ÃœBUNG
Ã
7.
Inverse trigonometric functions
Kompletten Zugriff freischalten locked
THEORIE
T
8.
Trigonometric equations 1
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
9.
Trigonometric equations 1
Kompletten Zugriff freischalten locked
THEORIE
T
10.
Trigonometric equations 2
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
11.
Trigonometric equations 2
Kompletten Zugriff freischalten locked
Differentiation
The derivative
THEORIE
T
1.
The difference quotient
ÃœBUNG
Ã
2.
The difference quotient
5
THEORIE
T
3.
The difference quotient at a point
ÃœBUNG
Ã
4.
The difference quotient at a point
Kompletten Zugriff freischalten locked
THEORIE
T
5.
The tangent line
ÃœBUNG
Ã
6.
The tangent line
2
THEORIE
T
7.
The notion of derivative
ÃœBUNG
Ã
8.
The notion of derivative
14
The derivative of power functions
THEORIE
T
1.
The derivative of power functions
ÃœBUNG
Ã
2.
The derivative of power functions 1
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
3.
The derivative of power functions 2
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
4.
The derivative of power functions 3
Kompletten Zugriff freischalten locked
Sum and product rule
THEORIE
T
1.
The sum rule
THEORIE
T
2.
Video Explanation (Sum rule)
ÃœBUNG
Ã
3.
The sum rule
Kompletten Zugriff freischalten locked
THEORIE
T
4.
The product rule
Kompletten Zugriff freischalten locked
THEORIE
T
5.
Video Explanation (Product rule)
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
6.
The product rule
Kompletten Zugriff freischalten locked
Chain rule
THEORIE
T
1.
Composite functions
ÃœBUNG
Ã
2.
Composite functions
Kompletten Zugriff freischalten locked
THEORIE
T
3.
The chain rule
THEORIE
T
4.
Video Explanation (Chain rule)
ÃœBUNG
Ã
5.
The chain rule
Kompletten Zugriff freischalten locked
The derivative of standard functions
THEORIE
T
1.
The derivative of trigonometric functions
ÃœBUNG
Ã
2.
The derivative of trigonometric functions 1
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
3.
The derivative of trigonometric functions 2
Kompletten Zugriff freischalten locked
THEORIE
T
4.
The base e and the natural logarithm (revisited)
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
5.
The base e and the natural logarithm
Kompletten Zugriff freischalten locked
THEORIE
T
6.
The derivative of exponential functions and logarithms
Kompletten Zugriff freischalten locked
THEORIE
T
7.
Video Explanation (Exponential function)
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
8.
The derivative of exponential functions and logarithms 1
Kompletten Zugriff freischalten locked
Quotient rule
THEORIE
T
1.
The quotient rule
THEORIE
T
2.
Video Explanation (Quotient rule)
ÃœBUNG
Ã
3.
The quotient rule 1
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
4.
The quotient rule 2
Kompletten Zugriff freischalten locked
Mixed exercises differentiation
ÃœBUNG
Ã
1.
Mixed exercises differentiation
Kompletten Zugriff freischalten locked
Applications of derivatives
THEORIE
T
1.
Calculating tangent lines
ÃœBUNG
Ã
2.
Calculating tangent lines
11
THEORIE
T
3.
Increasing and decreasing
ÃœBUNG
Ã
4.
Increasing and decreasing
Kompletten Zugriff freischalten locked
THEORIE
T
5.
Extreme values
ÃœBUNG
Ã
6.
Extreme values
Kompletten Zugriff freischalten locked
THEORIE
T
7.
The second derivative
ÃœBUNG
Ã
8.
The second derivative
Kompletten Zugriff freischalten locked
THEORIE
T
9.
Types of increasing and decreasing
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
10.
Types of increasing and decreasing
Kompletten Zugriff freischalten locked
THEORIE
T
11.
Inflection points
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
12.
Inflection points
Kompletten Zugriff freischalten locked
THEORIE
T
13.
Higher order derivatives
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
14.
Higher order derivatives
Kompletten Zugriff freischalten locked
Applications: Differentiation
ÃœBUNG
Ã
1.
Differentiation
1
Integration
Antiderivatives
THEORIE
T
1.
The antiderivative of a function
ÃœBUNG
Ã
2.
The antiderivative of a function
5
THEORIE
T
3.
The antiderivative of a power function
ÃœBUNG
Ã
4.
The antiderivative of a power function
5
THEORIE
T
5.
Rules of calculation for antiderivatives
ÃœBUNG
Ã
6.
Rules of calculation for antiderivatives
Kompletten Zugriff freischalten locked
THEORIE
T
7.
Antiderivatives of some known functions
ÃœBUNG
Ã
8.
Antiderivatives of some known functions
Kompletten Zugriff freischalten locked
THEORIE
T
9.
Antiderivatives and the chain rule
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
10.
Antiderivatives and the chain rule
Kompletten Zugriff freischalten locked
The definite integral
THEORIE
T
1.
Definite integral
ÃœBUNG
Ã
2.
Definite integral
9
THEORIE
T
3.
Area
ÃœBUNG
Ã
4.
Area
Kompletten Zugriff freischalten locked
THEORIE
T
5.
Area of a surface between curves
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
6.
Area of a surface between curves
Kompletten Zugriff freischalten locked
THEORIE
T
7.
Solid of revolution
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
8.
Solid of revolution
Kompletten Zugriff freischalten locked
Integration techniques
THEORIE
T
1.
Substitution method
Kompletten Zugriff freischalten locked
THEORIE
T
2.
Video Explanation (Substitution method)
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
3.
Substitution method
Kompletten Zugriff freischalten locked
THEORIE
T
4.
Trigonometric integrals
THEORIE
T
5.
Video Explanation (Trigonometric Integrals)
ÃœBUNG
Ã
6.
Trigonometric integrals
Kompletten Zugriff freischalten locked
THEORIE
T
7.
Integration by parts
Kompletten Zugriff freischalten locked
THEORIE
T
8.
Video Explanation (Partial integration)
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
9.
Integration by parts
Kompletten Zugriff freischalten locked
THEORIE
T
10.
Repeated integration by parts
Kompletten Zugriff freischalten locked
THEORIE
T
11.
Video Explanation (Repeated integration by parts)
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
12.
Repeated integration by parts
Kompletten Zugriff freischalten locked
THEORIE
T
13.
Known antiderivatives of some quotient functions
ÃœBUNG
Ã
14.
Known antiderivatives of some quotient functions
Kompletten Zugriff freischalten locked
THEORIE
T
15.
Finding the antiderivatives of quotient functions 1
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
16.
Finding the antiderivatives of quotient functions 1
Kompletten Zugriff freischalten locked
THEORIE
T
17.
Fraction decomposition
ÃœBUNG
Ã
18.
Fraction decomposition
Kompletten Zugriff freischalten locked
THEORIE
T
19.
Finding the antiderivatives of quotient functions 2
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
20.
Finding the antiderivatives of quotient functions 2
Kompletten Zugriff freischalten locked
Applications: Integration
ÃœBUNG
Ã
1.
Integration
2
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