Cauchy Guides d'étude, Notes de cours & Résumés
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Solutions Manual for A First Course in Linear Model Theory, 2e by Nalini Ravishanker, Zhiyi Chi, Dipak Dey (All Chapters)
- Examen • 12 pages • 2024
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Solutions Manual for A First Course in Linear Model Theory, 2e by 
Nalini Ravishanker, Zhiyi Chi, Dipak Dey (All Chapters) 
 
1.1 |a • b| = | − 9| = 9, while kak kbk = 
√ 
6 
√ 
22 ∼= 11.489 > 9. 
1.2 To verify the Cauchy–Schwarz inequality, first see that the inequality holds trivially if 
a and b are zero vectors. We therefore assume that both a and b are nonzero. Let c be 
the vector c = xa − yb, where x = b 
′b, and y = a 
′b. Clearly, c 
′c ≥ 0. We express c 
′c 
...
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Test Bank For A First Course in Differential Equations with Modeling Applications 12th Edition by Dennis Zill. Isbn.9780357760192
- Examen • 245 pages • 2024
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- 33,92 €
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Test Bank For A First Course in Differential Equations with Modeling Applications 12th Edition by Dennis Zill. Isbn.9780357760192 
A First Course in Differential Equations with Modeling Applications Twelfth Edition Test Bank / 9780357760192 / 12e Test Bank For A First Course in Differential Equations with Modeling Applications. 
Table of Contents-=1. INTRODUCTION TO DIFFERENTIAL EQUATIONS. 
Definitions and Terminology. Initial-Value Problems. Differential Equations as Mathematical Models. Chapte...
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Math 475: Partial Differential Equations
- Examen • 19 pages • 2023
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- 17,96 €
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Math 475: Partial Differential Equations 
Shereen Elaidi 
Fall 2019 Term 
Contents 
1 Introduction 2 
1.1 Domains and Boundary Conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 
1.1.1 What are the main boundary conditions? . . . . . . . . . . . . . . . . . . . . . 3 
1.2 Classification of PDEs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 
2 Diffusion 4 
2.1 Derivation and Setting Up (n = 1) . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...
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Cauchy-Euler Differential Equation Notes
- Notes de cours • 4 pages • 2023
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- 8,11 €
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These notes cover Cauchy-Euler and the 3 cases that one can come across. Several worked out examples are included for each case. These notes are from the Differential Equations class taught by Peter Brady at Stevens Institute of Technology.
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AU MATH 376 STUDY GUIDE ORDINARY DIFFERENTIAL EQUATIONS NEW UPDATED SOLUTION FOR THE COMING 2022-2023 EXAM Athabasca University
- Examen • 263 pages • 2022
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- 9,07 €
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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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Department of Mathematics
- Examen • 13 pages • 2023
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- 18,05 €
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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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Orthogonality- Chapter 6 Exam with Solutions
- Examen • 3 pages • 2024
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- 7,64 €
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What is the formula for computing the distance between these two points: (x1,y1), (x2,y2)? - √( (x1-x2)² + (y1-y2)² ) 
 
What is the formula of the length of vector X = [x,y,z]: denoted by |X|? - |X| = √( x² + y² + z² ) 
 
What is the formula for dot product of the following vectors: X = [x1, ..., xn] and Y = [y1, ..., yn]? (Definition 6.1) 
 
Dot product symbol we'll use: . - X.Y = x1*y1 + ... + xn*yn 
 
What is the formula for the law of cosines? - |X-Y|² = |X|² + |Y|² - 2|X||...
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Exam (elaborations) TEST BANK FOR Vector Calculus, Linear Algebra and Differential Forms 2nd Edition By Hubbard J.H (Solution manual)
- Examen • 59 pages • 2021
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- 14,80 €
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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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Complete samenvatting Statistiek (Statistics)
- Resume • 16 pages • 2023
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- 4,49 €
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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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Stanford UniversitySTATS 231hw0-solutions
- Examen • 10 pages • 2021
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Disponible en pack
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- 9,07 €
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Homework 0 solutions 
CS229T/STATS231 
1. Linear algebra (0 points) 
a (dual norm of L1 norm) The L1 norm k · k1 of a vector v 2 Rn is defined as 
kvk1 = 
nX i 
=1 
jvij: (1) 
The dual norm k · k∗ of a norm k · k is defined as 
kvk∗ = sup 
kwk≤1 
(v · w): (2) 
Compute the dual norm of the L1 norm. (Here v · w denotes the inner product between v and w: v · w , 
Pn i=1 viwi) 
Solution: 
We will prove that 
sup 
kwk1≤1 
(v · w) = max 
i2[n] 
vi = kvk1 (3) 
which implies that the dua...
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