In details

University education


In this section you will find mathematical content for higher education. Choose the desired subject and good studies!

Limits

Intuitive notion of limit
Threshold Properties
Side Limits, Continuity
Limits involving infinity
Trigonometric Limits
Exponential Limits

Derivatives

Tangent line
What is derived?
String rule and derivative of inverse functions
Derivatives of trigonometric functions
Derivatives of Exponential and Logarithmic Functions
Derivatives of hyperbolic functions
High order derivatives

Integrals

Undefined integrals
Defined Integrals
Defined Integrals (continued)
Defined integrals (example)
Calculation of definite integral
Principle of integrals calculation
Integration Formulas
Piecewise integration
Piecewise integration for definite integrals
Reduction Formulas
Trigonometric Integrals

Differential Equations

Definition and classification
Homogeneous linear equations, 2nd order
Linear differential equations of order N

Logarithmic and Exponential Functions

Inverse functions
Domain and image of inverse functions
Inverse function graphs
Logarithmic and Exponential Functions
Logarithms
Logarithmic Functions
Functions explicitly and implicitly defined
Implicit Differentiation
Derivatives of rational powers of x
Derivatives of logarithmic functions
Logarithmic Differentiation
Derivatives of Exponential Functions
Derivatives of inverse trigonometric functions

Series and Sequences

Sandwich Sequences and Theorem
Series
Geometric Series
P-series, alternating series and power series
Leibniz test
D'Alembert test, Absolute Convergence
Series Summary
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