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exam 2 outline

# exam 2 outline - Differentials(9.5 3 Chain Rule(9.6 4...

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Engineering Math Spring 2009 Exam 2 Outline Chapter 8 Linear Algebra: Matrix Eigenvalue Problems A. Eigenvalues and Eigenvectors (8.1) B. Stochastic Matrices (8.2) C. Markov Processes and Limits of Markov Chains (7.2 and 8.2) Chapter 9 Vector Differential Calculus. Grad, Div, Curl A. Vectors (9.1) 1. Addition and Scalar Multiplication 2. Magnitude and Unit Vectors B. Dot Product (9.2) 1. Definition and Properties 2. Angle between Vectors 3. Projections / Components 4. Work 5. Equation of a Plane C. Cross Product (9.3) 1. Definition and Properties 2. Normal Vector to a Plane 3. Area of a Parallelogram 4. Torque (Moment of a Force about an Axis) 5. Motion of a Rotating Body D. Calculus Review 1. Derivatives (9.6) 2.

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Unformatted text preview: Differentials (9.5) 3. Chain Rule (9.6) 4. Definite Integral E. Vector and Scalar Functions and Fields (9.4) F. Derivative of a Vector Function (9.4) G. Curves (9.5) 1. Lines 2. Circles / Ellipses 3. Hyperbolas 4. Helices H. Tangent Vectors and Tangent Lines (9.5) I. Tangential and Normal Components of Acceleration (9.5) J. Arc Length (9.5) 1. Arc Length from Point to Point 2. Arc Length Function K. Differentials for a Vector Function (9.5) L. Gradient (9.7) 1. Directional Derivatives 2. Direction of Maximum Increase 3. Surface Normal Vectors 4. Potentials M. Laplacian and Laplace's Equation (9.7) N. Divergence and Fluid Flow (9.8) O. Curl and Rotating Bodies (9.9)...
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exam 2 outline - Differentials(9.5 3 Chain Rule(9.6 4...

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