Math 302 Lecture Notes linear algebra and multivariable calculus 1st Edition by Kenneth L. Kuttler – Ebook PDF Instant Download/Delivery: 3953954024, 5775775775
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Product details:
ISBN 10: 3953954024
ISBN 13: 5775775775
Author: Kenneth L. Kuttler
Table of contents:
I. Introduction
II. Vectors, Vector Products, and Lines
- Vectors and Points in Rnmathbb{R}^n
- Vector Products
III. Planes and Systems of Equations
- Planes
- Systems of Linear Equations
- Matrices
- The LU and QR Factorization
- Determinants
- Vector Spaces, Subspaces, and Bases
- Linear Transformations
- Eigenvalues and Eigenvectors of a Matrix
IV. Curves and Motion in Space
- Curves in Space
- Newton’s Laws of Motion
- Physics of Curvilinear Motion
V. Functions of Many Variables
- Functions of Many Variables
- Limits of a Function
VI. Differentiability
- Differentiability
- Extrema of Functions of Several Variables
- The Derivative of Vector-Valued Functions
- Implicit Function Theorem
VII. Multiple Integrals
- The Riemann Integral on Rmathbb{R}
- The Integral in Other Coordinates
VIII. Line Integrals
- Line Integrals
XI. Green’s Theorem and Integrals on Surfaces
- Green’s Theorem
- The Integral on Two-Dimensional Surfaces in Rmathbb{R}
X. The Divergence Theorem and Stokes’ Theorem
- Divergence and Curl
- The Divergence Theorem
- Stokes’ and Green’s Theorems
XI. Iterative Techniques for Linear Algebra
- Iterative Methods for Linear Systems
- Iterative Methods for Finding Eigenvalues
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Kenneth L Kuttler,Lecture Notes,linear algebra,multivariable calculus