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Math 1400 - Calculus I |
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Fall 2010 |
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Instructor |
Christina Sonnek |
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Email |
christina.sonnek@anokaramsey.edu |
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Office |
Humanities 114 |
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Telephone |
763-433-1214 |
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Class Website |
http://webs.anokaramsey.edu/sonnek |
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Campus Office Hrs |
Mondays/Thursdays 5:30-6:30 and 8:45-9:15 |
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Online Office Hrs |
Mondays/Thursdays 4:30-5:30 |
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Class Meetings |
Monday-Thursday 6:30-8:45 |
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Text |
Calculus of a Single Variable
Larson 5th |
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Attendance |
You are expected to attend all class meetings.
If an emergency occurs, it is your
responsibility to make up the missed work. |
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Content |
Chapters 2-5, 8.7 |
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Calculators |
Calculators may be allowed on part of some
exams.
Instruction will be provided on the TI-83
calculator. |
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Assignments |
My expectation is that you will spend an average
of three hours outside of class per hour in
class.
There will be some assignments that will be
turned in for credit.
Late assignments will NOT be accepted.
Missing a class period when an assignment
is due is NOT an excuse for late assignments.
Other assignments may be given (including
quizzes).
Do NOT fall behind in your homework. |
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Tentative Exams |
Exam 1 -Ch 2 |
19-Sep |
100 points |
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Exam 2 - Ch 3 |
13-Oct |
100 points |
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Exam 3 - Ch 4 |
14-Nov |
100 points |
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Exam 4 - Ch 5 |
5-Dec |
100 points |
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Final Exam |
12-Dec |
200 points |
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Exams must be taken during the scheduled time.
No late exams will be given.
In case of emergency you must contact me
BEFORE the start of the exam.
Any form of cheating will result in a
zero. |
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Homework Checks |
There will be 4 homework checks (worth 30 points
total), I will drop your lowest score. |
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Grading |
90-100% |
A |
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80-89% |
B |
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70-79% |
C |
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60-69% |
D |
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below 60% |
F |
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Pass/No Credit |
If you wish to take this course on a pass/no
credit basis, you must inform me in writing by
the end of the first week.
Passing is 70% or better.
Be sure to check with your counselor
first. |
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Incomplete |
No incomplete will be considered unless you are
earning a C or above, have completed more than
half the course, and have missed class because
of extreme circumstances. |
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Drop/Withdraw |
The last day to withdraw from a course is 11/29.
See Student Handbook for more details. |
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Accomodations for Students with Special Needs |
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Anoka Ramsey Community College does not
discriminate on the basis of race, color,
national origin, gender sexual orientation,
religion, age or disability in emplooyment or in
the provision of our services.
Within the first week of class, students
with special needs that require accomodations
should contact the Director of Access Services
to discuss possible support services. |
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Learner Outcomes |
At the conclusion of the course, the student
should be able to: |
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A.
Describe the one-sided or
two-sided limits of a function from the graph of
the function or the symbolic representation of a
function. |
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B.
Demonstrate that a function
is continuous at a given point or on a given
interval. |
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C.
Find all the numbers at
which a function is continuous. |
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D.
Compute a derivative using
the definition. |
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E.
Use a derivative to find the
slope of the tangent line to the graph of a
function at a point. |
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F.
Find the equation of the
tangent line and/or the normal line to the graph
of a function at a point. |
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G.
Find the average rate of
change of a function on a given interval. |
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H.
Find the instantaneous rate
of a function at a point. |
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I.
Find a derivative of a
function by using the concept of a limit or
rules of differentiation. |
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J.
Determine if a function is
differentiable on a given open or closed
interval. |
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K.
Determine if a function is
differentiable at a given point. |
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L.
Use the concept of a
derivative to determine if the graph of a
function has a vertical or horizontal tangent
line or cusp at a point. |
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M.
Solve application problems
involving differentiation (related rate and
maximum-minimum problems). |
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N.
Differentiate implicitly. |
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O.
Use linear approximation to
estimate the value of a function at a point. |
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P.
Use a differential to
approximate the change of the dependent variable
given a change in the independent variable. |
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Q.
Use a differential to find
the maximum error and the approximate relative
error or percentage error in measurement of a
calculated quantity. |
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R.
Use Newton's Method to
approximate a specified quantity. |
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S.
Find the critical numbers of
a function. |
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T.
Determine the extrema of a
function on a closed or open interval. |
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U.
Show that a function
satisfies the hypotheses of the mean Value
Theorem and find the value(s) that satisfy the
theorem. |
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V.
Use the first or second
derivative tests appropriately to determine
intervals on which the graph of a function is
increasing, decreasing, or constant; intervals
on which it is concave upward or concave
downward; to find extrema; to find the
x-coordinate(s) of the point(s) of inflection;
and to sketch the graph of the function. |
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W.
Use the first or second
derivative test of solving optimization
problems. |
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X.
Find an antiderivative of a
simple function. |
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Y.
Solve a differential
equation subject to given conditions. |
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Z.
Describe a function in four
ways: verbally, numerically, visually, and
algebraically. |
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AA.
Represent a function using
parametric equations. |
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BB.
Find various mathematical
models to fit data. |
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CC.
Recognize limits that have
an indeterminate form (quotient, product,
difference, power) and apply l'Hospital's rule
appropriately to evaluate them. |
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DD.
Find the Riemann sum for a
function on an interval by choosing on each
sub-interval the left-hand or right-hand
endpoint or the midpoint. |
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EE.
Use a Riemann sum to
approximate a definite interval. |
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FF.
Evaluate an integral by
interpreting it in terms of areas. |
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GG.
Use rules of integration to
find indefinite integrals and evaluate definite
integrals. |
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HH.
Use a computer algebra
system where applicable in the above outcomes. |