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Modul I: Sequenzes and Limits
- Sequenzes - basics
- Recursive sequences
- Some important sequences
- Divergence, convergence, limits
- Characteristics of difference sequences
- Exercises
Modul II: Functions
- Linear und Quadratic Functions
- Power functions, Polynomials and Power Series
- The Exponential function and Growth
- Trigonometric Functions
- Multivariable Functions
- Curves and Maps
Modul III: Properties of Functions
- Limit of a function
- Limits and Continuity
- Properties of Continuous Functions
- Exercises
Modul IV: Differentiation
- The Derivative
- Properties of the Derivative
- Derivatives of Trigonometric Functions
- The Cain Rule
- The Exponential Function and the Logarithm
- Extremal Value Problems
- Exercises
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