COMPREHENSIVE GENERIC REVIEW

Multivariable Calculus, Mathematics 2004

Multiple Choice Quizzes (Updated, Sept. 2011)

Website URL: http://www.math.carleton.ca/~angelo/calculus/cal2004.html

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Vectors and the Dot Product
The Cross Product
Lines and Planes, I (The answer to 11.5.7 as displayed is incorrect too!! The correct answer is x + 2z = 6.)
Lines and Planes, II (The answer to section 11.5, question 9 as displayed is incorrect. The correct answer is 10x + 5y +9z = 64.)

NOTES:

Vector functions and space curves, I
Vector functions and curves, II

Functions of 2 variables
Limits and Partial Derivatives
Partial Derivatives
Tangent Planes and Differentials, I
Tangent Planes and Differentials, II
Tangent Planes and Differentials, III
The Chain Rule and Directional Derivatives
Directional Derivatives and the Gradient

Critical Points
Maxima and Minima
Lagrange Multipliers
Gradient Fields
Line Integrals
Applications of Line Integrals

The Double Integral
Iterated Integrals, I
Iterated Integrals, II
Applications to Volume, I
Fubini's Theorem
More Applications to Volume, II: In Number 27, please replace x = 9 - x2 by z = 9 - x2, or else it's impossible.
Areas in various Coordinate Systems
Volumes in various Coordinate Systems, I
Volumes in various Coordinate Systems, II
Applications to Moments of Inertia and Centers of Mass
Jacobians
Change of Variables in Double Integrals

Triple Integrals
Iterated Triple Integrals
Iterated Triple Integrals using Various Coordinate Systems, I In Number 14, please replace the answer  Pi/20  by  Pi/12.
Iterated Triple Integrals using Various Coordinate Systems, II