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Differential Calculus 工程 & 社会科学 Program Fall 2024 Semester - - - - - -马德里

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Differential Calculus

Differential Calculus Course Overview

概述

CEA CAPA Partner 机构: Universidad Carlos III de 马德里
地点: 马德里,西班牙
Primary Subject Area: 数学
指令: 英语
课程代码: 18254
Transcript Source: Partner 机构
课程详细信息: 100级
Recommended Semester Credits: 3
联系时间: 42

描述

1. Real variable functions
1.1 The real line: sets of numbers, properties, absolute values
1.2 Elementary functions and curves
1.3 Polar coordinates

2. Limits and continuity
2.1 Limits of functions. Properties and fundamental theorems
2.2 Continuity of functions. Fundamental theorems
2.3 Uniform continuity

3. Derivatives and their applications
3.1 Definition, properties, derivatives of elementary functions
3.2 Meaning of the derivative. 极值

4 Local study of a function
4.1 Graphic representation
4.2 Taylor's polynomial and its applications

5. Sequences and series of real numbers
5.1 Sequences of numbers.
5.2 Series of positive numbers
5.3 Absolute and conditional convergence

6. Sequences and series of functions
6.1 Sequences of functions. Punctual and uniform convergence
6.2 Series of functions. Punctual and uniform convergence
6.3泰勒级数

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