A || Analysis || maths

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Mathematical_Analysis

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01. Sequences_and_Series | UNIT 1 |

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Unit 1 | 3 items

1.1 Sequences: Convergence and Monotony

1.2 Series: Definition and Convergence

1.3 Specific Sequences and Series

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02. Functions_and_Inverse_Functions | UNIT 2 |

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Unit 2 | 3 items

2.1 Functions: Functions and their properties

2.2 Functions: Exponential and Logarithmic functions

2.3 Functions: Trigonometric Functions

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03. Differential_Calculus | UNIT 3 |

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Unit 3 | 5 items

3.1 First and Potency Rule

3.2 Derivation Rules and Higher Derivations

3.3 Taylor Series and Taylor Polynomial

3.4 Curve Skething

3.5 Outlook: Partial Derivatives

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04. Integral_Calculus | UNIT 3 |

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Unit 4 | 3 items

4.1 The Indefinite Integral and Integral Rules

4.2 The Definite Integral and the Law of Differentials and Integrals

4.3 Volume and Lateral Surface of Bodies of Revolution and Arc Length

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05. Differential_Equations | UNIT 5 |

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Unit 5 | 4 items

5.1 Introduction and Basic Terms

5.2 Solution of First Order Linear Homogenous Differential Equations

5.3 Solution of First Order Linear Non-Homogenous Differential Equations

5.4 Outlook: Partial Differential Equations