MATH 2040
Brief Calculus, 3 hours
Dr. Green ( 222 Newton
Oakes, 864-1809, egreen@ngcsu.edu )
Summer 2008
Office Hours:
Prerequisite: Grade of C or above in
Math 1111 or Math 1101 or approval of the department head.
Catalog Description: This course is intended for non-science
majors, with particular emphasis on applications of calculus to business. It will develop familiarity with such
concepts as limits, the derivative, the definite integral, the indefinite
integral and their applications.
Course Objectives: After completion of the course the student
will be able to:
·
Using
numerical, graphical and analytic techniques, investigate the behavior of a
function by using the concept of a limit.
·
Evaluate
limits exactly, using analytic methods.
·
State
the definition of the derivative and use it to find the derivatives of simple
functions.
·
Analyze
the behavior of a function by using derivatives, asymptotes, and rules of thumb
concerning its behavior at infinity.
·
Interpret
the value of a derivative as a rate of change.
·
Find
derivatives of algebraic, exponential and logarithmic functions by using the
basic differentiation rules.
·
Find
the derivative of an implicitly defined function.
·
Find
local maxima and minima of a function.
·
Solve
applications involving optimization.
·
Find
a function whose derivative is given.
·
Find
antiderivatives of functions that are algebraic,
exponential and/or logarithmic.
·
Interpret
the solution of an application problem in the context of the application.
·
Evaluate
definite integrals by using the fundamental theorem of calculus. .
·
Interpret
a definite integral as an area or as total change.
Methods of Instruction: The methods of instruction are determined by
the instructor; however, the instructor is expected to use a variety of
methods. These methods may include, but
are not limited to lecture; problem-solving sessions with informal assessment
by the student or instructor; discussion; group projects; timely feedback from
test, quiz, or project results (formative assessment); question and answer;
computer or calculator based explorations; and student presentations. Students will be encouraged to assess and monitor
their own problem-solving process to determine when an error has been made or a
new strategy should be used.
Evaluation Methods: (see calendar for dates)
Test
average: 2/3 or 1/3 (3 tests plus the Question Of The Day total)
Final
Exam: 1/3 or 2/3
Course Content: (see calendar)
Knowledge Base:
Knowledge Base:
1. Required Text: At the level of Lial, Greenwell & Ritchey, Calculus with Applications (Brief Version), 8th Ed.,
Addison-Wesley, 2005.
2. Supplementary Text: None.
3. Library Resources:
·
Dunham, Journey Through Genius
: The Great Theorems of Mathematics , Wiley & Sons,
·
Schaum's easy
outlines. Calculus : based on Schaum's Outline of
differential and integral calculus by
·
Women, Minorities and Persons
with Disabilities in Science and Engineering: 1996 (National Science
Foundation, 1997)
·
Women and Science Celebrating
Achievements Charting Challenges (National Science Foundation, 1997)
·
Multicultural and Gender
Equity in the Mathematics Classroom: The Gift of Diversity (Janet Trentacosta
& J. Kenney, Eds., NCTM, 1997)
4. Web-based
Resources:
·
Archives:
http://archives.math.utk.edu
·
Algebra
Help - http://www.purplemath.com
·
Multicultural Pavilion
- http://www.edchange.org/multicultural
· Women in Mathematics - http://www.agnesscott.edu/lriddle/women/women.htm
5. Technology Resources: Maple.
General Expectations:
The student is expected to abide by the universitys attendance policy
and integrity code. Other general
expectations may be given by the instructor.
Class evaluations: Class evaluations at NGCSU are now conducted on-line through Banner. Evaluation of the class is considered a component of the course and students will not be permitted to access their course grade until the evaluation has been completed. The evaluations will be accessible beginning one week prior to Final Exam week. Specific instructions will be made available when the surveys are activated.
Disabilities and Accommodations.
Withdrawal
Policy: Students
who initiate withdrawal prior to the withdrawal deadline at midterm, will
receive a grade of W (withdrawn passing).
Math 2040 Assignment Sheet
|
Lesson |
Read |
Problems ( Lial, Greenwell & Ritchey,Calculus
with Applications, 8th |
||
|
1 |
2.4 |
p.
99 / 1 41 odd |
|
|
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2 |
2.5 |
p.
113 / 1 59 odd, 67, 69, 79 |
|
|
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3 |
3.1 |
p.
152 / 1 12, 13 57 odd, 63 67 odd, 76 |
|
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4 |
3.2 |
p.
164 / 1 19 odd, 35 |
|
|
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5 |
3.3 |
p.
173 / 1 15 odd, 23, 25, 27, 32 |
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6 |
3.4 |
p.
191 / 1 21 odd, 31, 33, 35, 45, 47 |
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7 |
4.1 |
p.
223 / 1 45 odd, 51, 53, 55, 59 |
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8 |
4.2 |
p.
234 / 1 25 odd, 31, 37, 39, 41 |
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9 |
4.3 |
p.
243 / 1 39 odd, 45, 47, 53, 55, 57 |
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10 |
4.4 |
p.
251 / 1 25 odd, 33, 35, 37 |
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11 |
4.5 |
p.
260 / 1 35 odd, 49, 51 |
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12 |
5.1 |
p.
278 / 1 23 odd, 35, 37, 41 |
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13 |
5.2 |
p.
292 / 1 27 odd, 35 41 odd |
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14 |
5.3 |
p.
306 / 1 13 odd, 27 41 odd, 49, 51, 53, 59, 61, 67 |
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15 |
6.2, 6.3 |
p.
341 / 5 13 odd, 17, 19 & p. 353 / 5, 9, 15, 17, 19 |
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16 |
7.1 |
p.
391 / 1 39 odd, 45 53 odd |
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17 |
7.2 |
p.
401 / 1 33 odd, 39 |
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18 |
7.3 |
p.
411 / 7, 24 |
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19 |
7.4 |
p.
424 / 1 27 odd, 31 39 odd, 53, 59 |
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Math 2040 Summer 2008
|
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
|
June
2 |
3 |
4 |
5 2.4,
2.5 |
6 |
|
9 |
10 QOTD 2.5,
3.1 |
11 |
12
QOTD 3.1 |
13 |
|
16 |
17
QOTD 3.2,
3.3, 3.4 |
18 |
19 |
20 |
|
23 |
24
QOTD Review,
3.4 |
25 |
26 TEST
1 4.1 |
27 TR Classes meet QOTD 4.2,
4.3 |
|
30 |
July
1 QOTD 4.4, 4.5 |
2 |
3
QOTD 5.1,
5.2, 5.3 |
4 |
|
7
(W Deadline) |
8
QOTD Review,
5.3 |
9 |
10 TEST
2 6.2 |
11 |
|
14 |
15
QOTD 6.2,
6.3 |
16 |
17
QOTD 7.1,
7.2 |
18 |
|
21 |
22
QOTD 7.2,
7.3, 7.4 |
23 |
24
QOTD 7.4,
Review |
25 |
|
28 |
29 Review,
TEST 3 Review
for Final |
30
|
31 Final
Exam |
August
1 |