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Calc3_RV2

# Calc3_RV2 - MAC 2311 Calculus III UNIV REVIEW FOR TEST#2...

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MAC 2311 – Calculus III FLORIDA INTERNATIONAL UNIV. REVIEW FOR TEST #2 FALL 2011 REMEMBER TO BRING AN 8x11 BLUE EXAM BOOKLET FOR THE TEST Relevant sections of the textbook : [Ch.13: Sec 13.1-13.9 and Ch.14: Sec. 14.1-14.5] MAIN PROBLEM SOLVING TECHNIQUES : 1. How to tell if the limit of f(x,y) as x, y tends to a, b exists and how to find its value. 2. How to find partial derivatives, and second order partial & mixed partial derivatives; and how to use the chain rules. 3. How to find total differentials and how to use them to estimate percentage errors in measurements and to find the local linear approximation of a function. 4. How to find the gradient and directional derivatives of a function. 5. How to find the normal to z = f(x,y) & to a parametric surface r = x(u,v), y(u,v), z(u,v) . 6. How to find the equation of the tangent plane to the surface z = f(x,y) at the point x 0 , y 0 , f(x 0 ,y 0 ) . 7. How to find the gradient-zero points of f(x,y) & test if they are local max. or local min. 8. How to find global max. & min., critical points , and to solve related word problems. 9. 10. How to evaluate double integrals over type I & II regions and use them to find volumes. 11. How to evaluate double integrals in polar coordinates & use them to find volumes of solids. 12. How to find the surface area of z = f(x,y) and of a parametric surface. 13.

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Calc3_RV2 - MAC 2311 Calculus III UNIV REVIEW FOR TEST#2...

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