Calculus
Mathematics for university students. Contains polynomials, trigonometric functions, sequences and series, differentiation and more.
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Course content
Functions
Sets
Functions
Range
Injectivity
End of Functions
Polynomials and Rational Functions
Polynomials
Linear Polynomials
Quadratic Polynomials
Factorization of Polynomials
Rational functions
End of Polynomials and Rational Functions
Trigonometric Functions
Basics
Calculation
More trigonometric functions
End of Trigonometric Functions
Exponential and Logarithmic Functions
Definition Exp
Definition Log
Growth
End of Exponential and Logarithmic Functions
Limits
Definition
Rules for calculating limits
Exponential and trigonometric functions
End of Limits
Sequences and Series
Definition
Convergence
Rules
Power Series
Length
End of Sequences and Series
Continuity
Definition of continuity
Min-max and Intermediate Value Theorem
Limits
End of Continuity
Differentiation
Definition
Simple rules
More rules
Exp and Log
End of Differentiation
Analysis of Functions
Minima and maxima
Higher derivatives
Implicit derivatives
Approximation with Polynomials
De L'Hôpital
End of Analysis of Functions
Integration
Antiderivation
Area
Integral
Estimates
The Fundamental Theorem of Calculus
End of Integration
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