Mrs. Harris 2013-14
Room:B103 Phone: (503)673-7815 ext 4893
Office Hours: 7:50am-8:25am or after school with prior arrangement
E-mail: harrisl@wlwv.k12.or.us
AP Calculus AB
2 Credits
Web page:
http://www.wlhs.wlwv.k12.or.us/Page/3496
Mth Calculus 251, 252
5 credits each (251, 252)
Advanced College Credit Website:
http://depts.clackamas.edu/acc
Course Prerequisites
Teacher recommendation and completion of Pre-Calculus
Course Description
This course is the study of differential and integral calculus. Topics covered will include limits,
tangent lines, def. of a derivative, derivative rules, area under a curve using summations and
integrals, volume of solids, arc length of a curve, and applications of differential and integral
calculus.
Course Objectives
This course will foster an understanding of topics and applications of differentiation and
integration for functions of one variable.
Student Learning Outcomes
 Estimate limits numerically and graphically.
 Determine limits numerically, graphically, and algebraically.
 Understand the limit definition of the derivative and its interpretation as an instantaneous
rate of change.
 Find derivatives numerically, visualize derivatives graphically as the slope of the graph,
and interpret the meaning of the first and second derivatives in various applications.
 Understand the derivative as a function in its own right and use the local linearity of
functions to obtain approximations from the derivative.
 Demonstrate proficiency in differentiation and an understanding of why the various rules
are true.
 Investigate families of functions using graphing technology to observe their properties
and the first and second derivatives to verify these observations.
 Use derivatives in problem solving that requires sustained reasoning to reach successful
conclusions.
 Reconstruct a function from its derivative graphically, numerically and analytically.
 Find the antiderivative of a variety of functions.
 Use Riemann sums to approximate the area under a curve and to demonstrate this
graphically.
 Use the limit of Riemann sums to compute a definite integral.
 Use the Fundamental Theorem of Calculus to compute areas and to evaluate integrals.
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Sketch a given region and find its area by using integrals.
Sketch a given three dimensional figure and find its volume by using method of disks,
shells or washers.
Sketch a given arc and find its length by using integrals.
Sketch a given surface and find its area by using integrals.
Use integrals to solve projectile motion, work and hydrostatic force problems.
Explore different techniques used to evaluate an integral.
Determine if an integral is proper or improper.
Determine if an improper integral converges or diverges.
Required Materials
 Pencils, I will NOT accept any work done in pen.
 Graphing calculator is required for calculus. TI-83/TI-84 is best. TI-86 and TI-89
calculators will not be allowed on any test or quiz. They are however acceptable on the
AP exam.
 Textbook, James Stewart, Calculus: Concepts and Contexts, Fourth Edition. I will check
out books at the beginning of the year, please take care of them.
Classroom Rules and Expectations
 Be in your seat and ready to work when class starts. This means materials are out, pencils
are sharpened, restroom breaks are taken, and socializing is done.
 Bring all materials (books, completed assignments, calculators, and pencils) to class each
day.
 If quiet time is given, you are to work on your MATH assignment.
 Keep noise levels down when working in pairs or groups
 Cheating is not tolerated. If you are caught cheating, you will get a zero and your parents
will be notified. This includes if you let someone “borrow” the homework you have
already completed
 Absolutely no electronic devices are allowed in class.
 No food, drinks, or gum. Water is OK.
Assessments and Grading Policies
Tests
Quiz
Homework
Final Exam
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60%
20%
20%
20%
If you have an excused absence you will be able to make up the test in a timely manner.
There will be NO TEST RETAKES. Missing a review day does not postpone a chapter
test.
If homework is not done when you enter the class it is considered late. Late work will be
accepted for half credit before you take the chapter test.
Work must be neat and complete for credit.
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Also homework scores are based on effort, all homework is worth 5 points. Full credit will
only be given if all problems are attempted; not completing even one problem will result
in only partial credit.
If you are absent due to illness or family emergency you have one day to make-up the
assignment after the one day the assignment is considered late and you will earn only half
credit.
Pre-arranged absences. If you will be out of class (this includes for all field trips, school
events, and sporting events) you will be held accountable for the work due. For
instance if you leave prior to my class and return after my class for a field trip it is
your responsibility to come turn in homework and get your current assignment from
me or a classmate. If you do not check that day’s assignment on the day it is due it
become late work and will be treated accordingly. If you do not have the assignment
prepared for the next day upon your return it also becomes late work.
Because this class is a dual credit class, earning high school and college credit, you are
held to student conduct policies for the high school and Clackamas Community
College. Please refer to the HS Student Handbook and the College Handbook
http://www.clackamas.edu/documents/handbook.pdf
Grading Scale
A
90 and above
B
80.0-89.9
C
70.-79.9
D
60.0-69.9
F
0-59.9
Grades are updated online approximately every two weeks; they are most accurate after the
grade for the latest test is recorded.
ACC Grading
The same grading scale and policies do apply to the Advanced College Credit. However, the
semester grades do not directly transfer to college grades. The Mth 251 grade is calculated based
on chapters 1-4 and the Mth 252 grade is calculated based on chapters 5-7.
Advanced Placement Exam
 There is a fee of $87 dollars for the AP Calculus AB Exam.
 Test Format:
Section I: Multiple Choice
Part A: no calculator, 28 questions, 55 minutes
Part B: calculator, 17 questions, 50 minutes
Section II: Free Response
Part A: calculator, 2 questions, 30 minutes
Part B: no calculator, 4 questions, 60 minutes
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Each section is 50% of the overall score.
The test date is Wednesday May 7, 2014
Day:
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2
3
4
5
6
7
8
9
10
11
12
13
14
15
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31
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41
Sections and topics/themes covered:
Classifications of Functions
Posters and summer packet questions
Summer packet questions
Test Summer packet and ways to rep. a function
2.1 Tangent and velocity problem (calculated numerically, graphically)
1.1 Four Ways to Represent a Function
2.2 Limit of a function.
2.2 Limit of a function
2.3 Calculating limits using the limit laws (analytically)
2.4 Continuity
2.4 Continuity
2.5 Limits involving infinity.
Review 2.1-2.5
Test 2.1-2.5
2.6 Tangents, velocities, and other rates of change.
2.6 Tangents, velocities, and other rates of change.
2.7 Derivatives (calculated numerically, graphically)
2.7 Derivatives (calculated analytically using the difference quotient)
2.8 The derivative as a function
2.8 The derivative as a function (calculated analytically using the difference
quotient)
2.8 What does f’ and f” say about f and f’, and local extrema.
Review 2.6-2.10
Test 2.6-2.10
3.1 Derivatives of polynomial and exponential functions.
3.1 Derivatives of polynomial and exponential functions
3.2 The product and quotient rules.
3.3 Derivatives of the trigonometric functions
3.4 The Chain Rule
3.4 The Chain Rule Day 2
3.5 Implicit Differentiation.
3.6 Derivatives of inverse trig. functions.
3.7 Derivatives of logarithmic functions.
3.8 Rates of change in the natural and social sciences
Review of chapter three.
Test over chapter three.
4.1 Related rates.
4.1 Related rates continued.
4.1 Related rates continued.
4.2 Global maximum and minimum. (analytically, verify graphically)
4.3 Derivatives and the shape of curves (the first derivative test, concavity).
4.3 Derivatives and the shape of curves (The Mean Value Theorem, the second
derivative test)
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4.5 Indeterminate forms and the graphical interpretation of l’Hospital’s Rule
using the property of local linearity.
4.6 Optimization problems.
4.6 Including optimization problems and applications to economics.
Review of 4.1-4.6
Test 4.1-4.6
4.8 Antiderivatives
5.1 Areas and distances (numerically and graphically
5.2 The definite integral (graphically, verbally)
5.3 Evaluating definite integrals.( analytically)
5.3 Evaluating definite integrals and the Total Change Theorem.
5.4 The Fundamental Theorem of Calculus (graphically)
5.4 The Fundamental Theorem of Calculus (analytically)
Review 4.9-5.4
Test 4.9-5.4
5.5 The substitution rule
5.5 The substitution rule
5.6 Integration by Parts
5.6 Integration by Parts
5.9 Approximate integration. (numerically, graphically, analytically) (Trapezoid
Rule)
5.10 Improper Integrals
5.10 Improper Integrals
6.1 More about areas.
6.2 Volumes (slices, disks and washers)
6.2 Volumes day two.
6.2 Volumes day three.
6.3 Volumes by Cylindrical Shells
6.4 Arc Length (parametric and functions of x or y)
6.5 Average value of a function, and applications of definite integral.
6.6 Applications to Physics
Review of chapter six.
Test over chapter six.
7.2 Direction fields.
7.2 Direction fields and Euler’s method.
7.3 Separable equations.
7.3 Separable equations continued.
7.4 Exponential growth and decay.
7.4 Exponential growth and decay continued.
Review of chapter seven
Test over chapter seven.