Cauchy - Study guides, Class notes & Summaries
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AU MATH 376 STUDY GUIDE ORDINARY DIFFERENTIAL EQUATIONS NEW UPDATED SOLUTION FOR THE COMING 2022-2023 EXAM Athabasca University
- Exam (elaborations) • 263 pages • 2022
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AU MATH 376 STUDY GUIDE ORDINARY DIFFERENTIAL EQUATIONS NEW UPDATED SOLUTION FOR THE COMING 2022-2023 EXAM Athabasca University 
Contents 
Introduction	1 
Some Preliminary Remarks	2 
Part I: First-order Differential Equations	9 
1	Introducing Ordinary Differential Equations	11 
1.1	Solutions: Complete, General, Particular, Partial	12 
1.2	Methods for Solving Ordinary Differential Equations	14 
1.3	The Fundamental Theorem	15 
1.4	Direction Fields	18 
2	Directly Integrable Ordinary Differential 
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ASYMPTOTIC BEHAVIOR OF A WEAKLY FORCED DRY FRICTION OSCILLATOR
- Exam (elaborations) • 8 pages • 2024
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Its is well known that the abstract Cauchy problem associated with multivalued 
monotone (resp. accretive) operators on Hilbert spaces (resp. Banach spaces) may 
lead to very peculiar strong convergence asymptotic behaviour for its solutions. 
More precisely, if for instance X = H is a Hilbert space, and A : D(A) → P(H) 
is a maximal monotone operator multivalued at 0 (with 0 ∈ intD(A)) then the 
solution of the
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Department of Mathematics
- Exam (elaborations) • 13 pages • 2023
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Department of 
Mathematics 
Courses of Study: 
Minor 
Major (B.A.) 
Combined B.A./M.A 
Master of Arts 
Doctor of Philosophy 
Objectives 
Undergraduate Major 
As our society becomes more technological, it is more affected by 
mathematics. Quite sophisticated mathematics is now central to 
the natural sciences, to ecological issues, to economics, and to 
our commercial and technical life. A student who takes such 
general level courses as MATH 5, 8, 10, 15, or 20 will better 
understand the world ...
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COMPLEX ANALYSIS
- Class notes • 48 pages • 2024
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This document covers all the main topics that are necessary for the course with examples that help better way to understand the topic and clear all the doubts. 
Topics which are covered in this content are:- 
Complex function, Limit, Derivation of a complex number, Analytic function, Cauchy-Riemann equation, Harmonic function and Laplace rule, Line integral, Cauchy integral theorem, Derivatives of analytic function.
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examples for complex analysis
- Other • 25 pages • 2024
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examples regarding taylors theorem laurent series and cauchy residue theorem
And that's how you make extra money
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Real Analysis I Maths Notes
- Class notes • 27 pages • 2024
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Lecture notes for the module 'MAT1032 Real Analysis I' in the Mathematics course. 
Topics covered in the notes include: 
- Bounds, Supremum, Infimum 
- Axiom of Completeness 
- Cauchy Sequences and Series 
- Inequalities 
- Limits and Covergence 
- Logic and Quantifiers 
- Sets and Notations 
- Types of Functions 
- Types of Numbers 
 
Definitions in pink, formulae and equations in green, examples in blue.
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Complete samenvatting Statistiek (Statistics)
- Summary • 16 pages • 2023
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Een complete samenvatting van de wekelijkse les stof van het vak statistics voor econometrie studenten. Het vak wordt in het eerste jaar gegeven en deze samenvatting geeft grondig weer wat er per week goed begrepen moet worden, voorbeelden zijn inbegrepen.
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Ordinary Differential Equations
- Class notes • 44 pages • 2024
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Course Objective:- To solve ordinary differential equations which arises in engineering and physics. 
 
It contains - 
 
First order linear ordinary differential equations - Solution and simple applications 
Higher order linear order ordinary differential equation with constant coefficients - Solution of homogenous and non-homogenous equations, Method of undetermined coefficients, Method of variation of parameters, Cauchy-Euler differential equations 
Applications of second order linear differen...
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Differential Equations
- Class notes • 14 pages • 2024
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Differential equation for Mathematics and calculus for engineering students covering topics of cauchy homogeneous linear equation, partial integral, complementary function etc.
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Exam (elaborations) TEST BANK FOR Vector Calculus, Linear Algebra and Differential Forms 2nd Edition By Hubbard J.H (Solution manual)
- Exam (elaborations) • 59 pages • 2021
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Exam (elaborations) TEST BANK FOR Vector Calculus, Linear Algebra and Differential Forms 2nd Edition By Hubbard J.H (Solution manual) 
CONTENTS 
How to Use This Book 
IV 
Acknowledgments IV CHAPTER 1 The Geometry of Euclidean Space 1 CHAPTER 2 Differentiation 21 CHAPTER 3 Higher-Order Derivatives; Maxima and Minima 43 CHAPTER 4 Vector-Valued Functions 63 CHAPTER 5 Double and Triple Integrals 77 CHAPTER 6 The Change of Variables Formula and Applications of Integration 97 CHAPTER 7 Integrals over...
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