ANALYTIC GEOMETRY/CALCULUS I
MTH:210 CALCULUS, 6th EDITION
by James Stewart
ASSIGNMENT SHEET
APPENDIX A. Numbers, Inequalities, and Absolute Values
9, 11, 13, 15, 19, 23, 25, 27, 29, 34, 43, 45, 46, 49, 51, 61, 62, 65
APPENDIX B. Coordinate Geometry and Lines
3, 9, 12, 14, 15, 21, 25, 27, 29, 31, 32, 33, 35, 41, 45, 48, 51, 53, 54, 55, 57
APPENDIX C. Graphs of second-degree equations. (Circles & Parabolas only.) 1, 4, 5, 7, 9, 11, 27, 29, 33, 34, 35, 37, 39
APPENDIX D. Trigonometry 1, 3, 7, 9, 11, 23, 24, 25, 26, 27, 28, 29, 31, 35, 37, 43, 47, 51, 53, 55, 65, 67, 69, 73
A preview of Calculus
-Discussion optionalChapter 1
Functions and Models.
1.1
1, 2, 5, 6, 7, 8, 10, 17, 21, 23, 24, 25, 25, 26, 27, 29, 31, 32, 35, 36, 37, 39, 41, 43, 47, 48, 53, 57, 61, 63, 65,
66, 67, 68, 69, 70
1.2
1, 3, 5, 8, 13, 15, 17, 19. Optional: 22, 24
1.3
1, 3, 4, 5, 9, 12, 13, 14, 15, 17, 18, 20, 21, 24, 29, 31, 32, 33, 35, 37, 41, 45, 49, 51, 55, 59
1.4
Optional: 1, 5, 11, 13, 19, 21, 29
TEST 1
Principles of Problem Solving
-Discussion optional2.1
Optional: 1, 4, 6, 7
2.2
1, 2, 3, 4, 5, 6, 7, 8, 9, 13, 17, 25, 29
2.3
1, 2, 3, 4, 5–29 (odds), 39, 41, 43, 46, 47, 48, 49, 51, 52, 53, 55
2.4
1, 3, 5, 11, 15, 19, 25, 29, 30, 31, 41. Optional: prove the following using the
definition of the limit.
2.5
a)
lim
4
2
x 1
b)
lim
c)
lim
x3
5
x 1
d)
lim
x 3
x 2
x4
x 1
x5  3
1
5 x

1
2
1, 3, 4, 9, 10, 13, 15, 16, 17, 18, 20, 21, 23, 25, 37, 41, 43, 49
Principles of Problem Solving
-Discussion optional-
1
,
Chapter 3
Derivatives
3.1
1–13 (odds), 17, 18, 19, 21, 25, 27, 30, 31, 35, 49
3.2
1–13 (odds), 19, 23, 25, 33, 35, 39, 41, 47, 52
TEST 2
3.3
1–41 (odds), 49, 51, 53, 55, 59, 61, 63, 67, 71, 73, 75, 81, 95
3.4
1–23 (odds), 29, 31, 33, 41, 43, 45, 47
3.5
3, 7–47 (odds), 51, 59, 61, 66
3.6
1, 2, 3, 4, 5–23 (odds), 27, 33, 35, 43, 49
3.7
Optional: 1, 5, 7, 9, 15, 17, 21, 31, 33
3.8
1, 5, 7, 11, 13, 15, 17, 18, 23, 25, 27, 39, 41
3.9
1, 11, 13, 15, 17, 21, 23, 27, 31, 33
TEST 3
Principles of Problem Solving
-Discussion optional-
Chapter 4
Applications of Differentiation
4.1
1, 2, 3, 4, 5, 7, 8, 9, 10, 15, 18, 21, 24, 27, 29, 31, 33, 35, 37, 39, 41, 45, 47, 49, 51, 52, 55
4.2
1, 2, 5, 11, 13, 16, 19, 23
4.3
1, 2, 3, 4, 5, 8, 9, 11, 13, 14, 15, 17, 18, 23, 27, 29, 35, 37
4.4
1, 2, 3, 7–23 (odds), 27, 29, 33, 35, 43, 45
4.5
1–39 (odds), 47, 51
4.6
Optional: 1, 4, 7, 9, 11
4.7
3, 5, 9, 10, 11, 12, 13, 17, 18, 19, 21, 30, 33, 35, 37, 42, 46
TEST 4
4.8
4, 5, 7, 11, 13, 15, 19
4.9
1–45 (odds), 47, 51, 53
Principles of Problem Solving
-Discussion optional-
2
Chapter 5
Integrals
5.1
1, 3, 11, 15, 17, 20
5.2
1, 4, 7, 9, 11, 17, 19, 21, 23, 25, 29, 37, 39, 41, 43, 47, 51, 53, 59
5.3
4, 5, 7, 9, 11, 15, 19, 23, 25, 29, 35, 43, 45
5.4
1, 5, 6, 11, 15, 19–41 (odds), 57, 58
5.5
1–29 (odds), 35–49 (odds), 53
TEST 5
Chapter 6
Applications of Integration
6.1
1, 3, 6, 7, 9, 14, 15, 19, 21, 23, 24, 27, 33, 44, 48
6.2
3, 5, 9, 11, 15, 16, 19–30 (all), 31, 33, 50, 51, 56
6.3
1, 2, 3, 5, 8, 11, 13, 15, 17, 20, 21, 23, 25, 39, 41
6.4
1, 3, 7, 8, 13, 15, 16, 17, 19, 20, 21, 23
6.5
3, 5, 7, 9, 13
9.1
(Skip example 2). 1–9 (odds)
Also, find the arc length of the following:
a)
8 y  x 4  2 x 2 from x  1 to x  2
b)
x  ( y  1)
3
2
from y  1 to y  5
ANALYTIC GEOMETRY/CALCULUS I
MTH:210
Prerequisites
1.
Classify a number as natural, integer, rational, irrational
or real.
2.
Recall all the properties of inequalities.
3.
Work inequalities by using the number line or by cases.
4.
Recall and memorize the definition of absolute value.
5.
Solve equations containing one absolute value by cases.
6.
Work absolute value inequalities by cases.
7.
Solve absolute value equations and inequalities using absolute value theorems.
8.
Recognize and apply interval notation.
9.
Give a geometric interpretation of the absolute value.
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10.
Memorize the formula for the undirected distance between 2 points.
11.
Recall the definition of a circle.
12.
Memorize the formula for the equation of a circle with center (h,k) and
radius r.
13.
Memorize the formula for the equation of a circle with center at the origin and radius r.
14.
Given the center and radius, write the equation of a circle.
15.
16.
Given the general form for the equation of a circle, complete the square on X and Y to find the center and radius form for the
circle.
Describe the 3 things that can happen when completing the square to obtain the center-radius form of a circle.
17.
Apply your knowledge of the circle in problems.
18.
Memorize the formula for finding the midpoint of a line segment.
19.
Apply the above formulas to problems.
20.
Recall cartesian coordinate system.
21.
Draw a sketch of an equation using a table of values.
22.
Find, if possible, the X and Y intercepts of a graph.
23.
Memorize the definition of the slope of a straight line, using 2 points on the line.
24.
Recall and apply the fact that parallel lines have equal slopes. ( m1 = m2 )
25.
Recall and apply the fact that perpendicular lines have slopes that are negative reciprocals of each other.
m1 =
-1
m2
26.
Memorize the point-slope form for the equation of a line.
27.
Memorize the slope-intercept form for the equation of a line.
28.
Memorize the 2-point form for the equation of a straight line.
29.
Memorize the intercept form for the equation of a straight line.
30.
Given equations of the type ax + by + c = 0, find the slope and y-intercept.
31.
Give a slope and y-intercept for vertical and horizontal lines.
32.
33.
Apply the 4 formulas for lines to problems.
Give the tests for symmetry with respect to the X-axis, Y-axis, origin, and the line Y = X.
34.
Apply the tests in 26 above.
35.
Memorize the definitions of a function.
36.
Determine which is the dependent and the independent variable in a function.
37.
Recognize the special functions: one-to-one, identity, constant.
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38.
Know what the domain and range of a function are.
39.
Be able to graph several variations of the greatest integer function.
40.
Graph the Absolute value function.
41.
Understand the "f(X)" notation and how to evaluate a function.
42.
Know the significance of the algebra of functions.
43.
Understand composite functions.
44.
Find domains and ranges of functions in 42 and 43 above.
45.
Identify a quadratic function.
46.
Identify a linear function.
47.
Be able to identify a polynomial, its degree, leading coefficient, and constant term.
48.
Identify rational functions, algebraic functions, transcendental functions.
49.
Review the 6 trig functions.
50.
Understand radian measurement of angles.
51.
Be able to use the equation
52.
Recall the periods of trig functions.
53.
Remember the fundamental trig identities.
54.
Identify and give the meaning of the following symbols and abbreviations:
s
r
= .
, , , iff , wrt,=, =, , s.t., =, ,  , , , , , ,, ,
5
, , w/e
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Behavior that is disruptive to the instructor or students is contrary to quality education. Should the instructor determine that an individual
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instructor will have the disruptive student leave the class. Permission to return to class may be dependent upon assurances that the student
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Final Exams (Departmental)
In the Fall and Spring semesters, a portion of the final examinations given in MTH:020, MTH:030, MTH:140 and MTH:160 may be
designed by the Mathematics Department.
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Students must file a petition seeking departmental approval before enrolling in the same Meramec mathematics course for the third time.
The petition process will involve writing a formal petition and meeting with a math faculty advisor to design a course of action that will
improve chances for success.
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