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Rabu, 24 April 2024

High School Math

High School / Vocational School Mathematics Lesson:

Sequences and series

Arithmetic sequences
Geometric sequences
Series
Finite arithmetic series
Finite geometric series
Infinite series

Functions

Functions and relations
Inverse functions
Linear functions
Quadratic functions
Exponential functions

Finance

Calculating the period of an investment
Future value annuities
Present value annuities
Analysing investment and loan options

Trigonometry

Compound angle identities
Double angle identities
Solving equations
Applications of trigonometric functions

Polynomials

Cubic polynomials
Remainder theorem
Factor theorem
Solving cubic equations

Differential calculus

Limits
Differentiation from first principles
Rules for differentiation
Equation of a tangent to a curve
Second derivative
Sketching graphs
Applications of differential calculus

Analytical geometry

Equation of a circle
Equation of a tangent to a circle

Euclidean geometry

Ratio and proportion
Polygons
Triangles
Similarity
Pythagorean theorem

Statistics

Curve fitting
Correlation

Probability

Identities
Tools and Techniques
The fundamental counting principle
Factorial notation
Application to counting problems
Application to probability problems

sequence, function, exponent, limit, factor, count, statistic

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