Multiple integrals - Study guides, Class notes & Summaries

Preface page ix 1 Preliminary algebra 1 2 Preliminary calculus 17 3 Complex numbers and hyperbolic functions 39 4 Series and limits 55 5 Partial differentiation 71 6 Multiple integrals 90 7 Vector algebra 104 8 Matrices and vector spaces 119 9 Normal modes 145 10 Vector calculus 156 11 Line, surface and volume integrals 176 v CONTENTS 12 Fourier series 193 13 Integral transforms 211 14 First-order ODEs 228 15 Higher-order ODEs 246 16 Series solutions of ODEs 269 17 Eigenfuncti...

Test Bank For Essential Calculus 2nd Edition by James Stewart 2297, 3, 0875, 5 1: Functions and Limits 2: Derivatives 3: Applications of Differentiation 4: Integrals 5: Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric 6: Techniques of Integration 7: Applications of Integration 8: Series 9: Parametric Equations and Polar Coordinates 10: Vectors and the Geometry of Space 11: Partial Derivatives 12: Multiple Integrals 13: Vector Calculus

Contents 0 Introduction 1 1 Computers, Science, and Engineering 3 1.1 Computing: Historical Note ��������������������������������������������������������������������� 3 1.2 Basics of Symbolic Computing ����������������������������������������������������...

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 ...

MATH 1242 FINAL EXAM Spring 2006 Part I (MULTIPLE CHOICE, NO CALCULATORS). 1. Compute R   3 2x + − 4 sin x dx. x 2 2 3 2x + − 4 sin x + C x 3 (b) 4x − 2 − 4 cos x + C x 2 (c) x3 + 3 ln |x| − 4 cos x + C 3 2 3 (d) x + 3 ln |x| + 4 cos x + C 3 2 (e) x3 + 3 ln |x| − 2 sin2 x + C 3 1 (a) 2  2. Compute 2 R1 −1 2 xex dx. (a) 2 (b) 2e (c) e 1 1 1 1 (d) e 3 − e− 3 2 2 (e) 0 3. Which of the following definite integrals gives the length o...

Spring 2008, Math 1242 Final Exam Part I (MULTIPLE CHOICE, NO CALCULATOR PERMITTED) 1. Compute
3x3 + x22 − 4 cos x dx. R
2 (A) 21 3x3 + x22 − 4 cos x + C (B) 9x2 + 2 ln x2 − 4 sin x + C (C) 43 x4 − x2 − 4 sin x + C (D) 34 x4 − x2 + 4 sin x + C (E) 43 x4 − x2 − 2 cos2 x + C 2. Compute R2 x 0 xe dx. (A) 2e4 (B) e2 + 1 (C) 12 e4 − 21 (D) 12 e4 (E) 21 e2 − 12 13. Which of the following definite integrals gives the length of the curve y = tan x over the in...

Essential Mathematics for Economic Analysis 6th edition Knut Sydsæter Peter Hammond Andr´es Carvajal Arne Strøm Student’s Manual Contents 1 Essentials of Logic and Set Theory 1 2 Algebra 2 3 Solving Equations 9 4 Functions of One Variable 13 5 Properties of Functions 17 6 Differentiation 19 7 Derivatives in Use 24 8 Concave and Convex Functions 30 9 Optimization 30 10 Integration 34 11 Topics in Finance and Dynamics 42 12 Matrix Algebra 45 13 De...

detailed notes with examples, formulas, definitions, and explanations included

A summary was made about theme 2 before attending weekly tutorial sessions. These are cripnotes that cover the fundamental theory to better understand the application of each lecture unit and how they follow each other in the theme.

1. Definition of the Com- plex Line integral 2. Complex line integral sum form 3. What is the line inte- gral of f(z) over the curve C by limit form? 4. What is the line inte- gral of f(z) over the curve C by integral form? 5. What is the meaning of complex line in- tegrals consist of fi- nitely many smooth curves? 6. Three basic proper- ties of complex inte- gration 7. What is linearity of in- tegration? 8. What is sense rever- sal property? 1 . C has to be a smooth curve and f(z) h...