MATH 2415 - Objectives - Chapter 11 - Sections 11.1 - 11.5
A. Vectors
Be able to:
1. write vectors in component form;
2. write vectors in magnitude/direction form;
3. write vectors when given a verbal description of the vector;
4. analytically find the su
MATH 2415 - Final Objectives
Chapter 11:
Basic vector algebra
(1) addition/subtraction
(2) magnitude/direction
example:
(3) dot product (angles)
(4) cross product (areas and normal
vectors)
2A - B + 3 C
magnitude = |A|
direction = unit vector = u = A \ |A
MATH 2415 - Conceptual Review - 13.1 - 13.3
Choose the correct response for each of the following.
1. Let R be the region R = cfw_(x,y) | 10 < x < 14 and 20 < y < 30. The table below gives
values of f(x, y). Give the upper and lower bounds on the estimate
MATH 2415 - Conceptual Review - 12.4 - 12.8
Circle the correct response for each of the following.
1. Using the contour plot pictured, which path will result in the greatest change in altitude?
(a) From A to B
(b) From C to B
(c) From D to B
(d) All chang
MATH 2415 - Objectives - Sections 12.4 - 12.8, 13.1 - 13.3
Chapter 14: Sections 12.4 - 12.8
1. Find any first or higher order partial derivative for any multivariable function;
for example, fX, fXY, fZYX, fXYWXZ, etc.
2. Use the Chain Rule to determine th
MATH 2415 - Conceptual Review - 12.1 - 12.7
Choose the correct response for each of the following.
1. Using the contour plot pictured, which path will result in the greatest change in altitude?
(a) From A to B
(b) From C to B
(c) From D to B
(d) All chang
1
MATH 2415 - Conceptual Review - 11.5 - 11.9
Choose the correct response for each of the following.
1. The vectors 2i - j + k and
(a) True
i - 2j + k are parallel.
(b) False
2. The only way that v * w = 0 is if v = 0 or w = 0.
(a) True
(b) False
3. The a
MATH 2415 - Objectives - Sections 12.1 - 12.7
Surfaces and functions
For each surfaces listed below, be able to identify and sketch the surface, give the equations for all
level curves (traces), give the principal axis (if any exists), and give all points
MATH 2415 - Objectives - Chapter 11
Sections 11.3 - 11.5
A. Vectors
Be able to find the area of a triangle or parallelogram.
Derive formulas for and determine:
1. the parallel and perpendicular projections of one vector onto another vector;
2. the paralle
MATH 2415 - Conceptual Review - 11.1 - 11.5
Choose the correct response for each of the following.
1. The length of the sum of two vectors is always strictly larger than the sum of the
lengths of the two vectors
(a) True
(b) False
2. |v| = |v1| + |v2| + |
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MATH 2415 - Conceptual Review - 13, 14.1
Circle the correct response for each of the following.
1. The value of the integral
a 2 x 2
a
a
a
x d y d x is a:
2 x 2
(a) a
(b) /2
(c) a 2
(d) 0
2. Which of the following is the mass of the solid defined by
R