| Math 1400 - Calculus I |
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| Fall 2007 |
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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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| Office Hours |
Tues 4:00-5:00, Mon &
Thurs 6:00-7:00, online |
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| Class Meetings |
Monday-Thursday 7:00-9:15 |
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| Text |
Calculus-Concepts and
Contexts, Single Variable, Third Edition, by James |
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Stewart. |
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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 1-5 |
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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.
Homework is worth 70 points. |
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| Tentative Exams |
Exam 1 -Ch 2 |
24-Sep |
100 points |
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Exam 2 - Ch 3 |
15-Oct |
100 points |
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Exam 3 - Ch 4 |
19-Nov |
100 points |
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Exam 4 - Ch 5 |
10-Dec |
100 points |
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Final Exam |
17-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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| 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. |
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