Calculus III , Giải Tích 3 ĐHBK
➤ Gửi thông báo lỗi ⚠️ Báo cáo tài liệu vi phạmNội dung chi tiết: Calculus III , Giải Tích 3 ĐHBK
Calculus III , Giải Tích 3 ĐHBK
HANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICS ADVANCED TRAINING PROGRAMLecture onINFINITE SERIES AND DIFFE Calculus III , Giải Tích 3 ĐHBK ERENTIAL EQUATIONSAssoc. Prof. Dr. Nguyen Tilieu HuyHa Noi-2009Nguyen Th««j HuyPrefaceThe h’rture on infinite series and differential equations is written tor students of Advanced Training Programs of Mechalronics (from California Stale University— esu Chico) and Material Science (from University of Calculus III , Giải Tích 3 ĐHBK Illinois- U1UC). To prepare for the manuscript of this lecture, we have to combine not only the two syllabuses of two courses on Differential EquatioCalculus III , Giải Tích 3 ĐHBK
ns (Math 260 of esu Chico and Math 385 of U1ƯC), but also the part of infinite scries that should have been given in Calculus I and ĨỈ according to thHANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICS ADVANCED TRAINING PROGRAMLecture onINFINITE SERIES AND DIFFE Calculus III , Giải Tích 3 ĐHBK rhe differential equations in the same syllabus). Therefore, this lecture provides the most important modules of knowledge which are given in all syllabuses.This lecture is intended for engineering students and others who require a working knowledge of differential equations and series; included ar Calculus III , Giải Tích 3 ĐHBK e technique and applications of differential equations and infinite series. Since many physical laws and relations appear mathematically in the form oCalculus III , Giải Tích 3 ĐHBK
f differential equations, such equations are of fundamental importance in engineering mathematics. Therefore, the main objective of this course is to HANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICS ADVANCED TRAINING PROGRAMLecture onINFINITE SERIES AND DIFFE Calculus III , Giải Tích 3 ĐHBK important standard methods for solving such equations.I would like to thank Dr. Tran Xuan Tiep tor his reading and reviewing of the manuscript. I would like to express my love and gratefulness to my wife Dr. Vu Thi Ngoc Ha for her constant support and inspiration during the preparation of the lectur Calculus III , Giải Tích 3 ĐHBK e.Hanoi. April 4. 2009Dr. Nguyen Illicit HuyLttftre cr> Infinite Senes end Orfierentel EqualcnsContentCHAPTER 1: INFINITE SERIES......................Calculus III , Giải Tích 3 ĐHBK
.....................31.Definitions of Infinite Series and Fundamental Facts............32.Tests for Convergence and Divergence of Series of ConstantsHANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICS ADVANCED TRAINING PROGRAMLecture onINFINITE SERIES AND DIFFE Calculus III , Giải Tích 3 ĐHBK c Concepts of Sequences and Series of Functions.............112.Theorems on uniformly convergent series........................I33.Power Series...................................................I44.Fourier Series.................................................20Problems............................. Calculus III , Giải Tích 3 ĐHBK ...............................25CHAPTER 3: BASIC CONCEPT OF DIFFERENTIAL EQUATIONS...................311.Examples of Differential Equations..........Calculus III , Giải Tích 3 ĐHBK
...................312.Definitions and Related Concepts...............................33CHAPTER 4 SOLUTIONS OF FIRST-ORDER DIFFERENTIAL EQUATIONS.....HANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICS ADVANCED TRAINING PROGRAMLecture onINFINITE SERIES AND DIFFE Calculus III , Giải Tích 3 ĐHBK equations................................................364.Linear Equations...............................................385.Bernoulli Equations............................................396.Modelling: Electric Circuits...................................407.Existence and Uniqueness Theorem...... Calculus III , Giải Tích 3 ĐHBK .........................43Problems.......................................................... 43HANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICS ADVANCED TRAINING PROGRAMLecture onINFINITE SERIES AND DIFFEHANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICS ADVANCED TRAINING PROGRAMLecture onINFINITE SERIES AND DIFFEGọi ngay
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