I.
Course and Instructor: Calculus II, Jennifer Arias
Format: Homework questions, lecture/notes, class activities, discussion, assessments, etc.
Course Information:
Course Title: Calculus II
Course Code: Mat-202 BK10
Semester: F14
Meeting Days and Times: 6:40 – 7:40 a.m. M-Th
Class Location: Breckenridge SHS 2310
Start Date: 8/18/14
Refund Date: 9/11/14
Thanksgiving: 11/26-11/28/14
Synonym Number: 86435
Credits: 5
Prerequisite: B or better in Calc I
End Date: 12/12/14
Withdraw Date: 11/15/14
Instructor Information:
Phone: 970-368-1168 (Summit High School)
Fax: 970-368-1199
E-Mail: jarias@summit.k12.co.us
Office Hours: 3:00-3:30 Tuesday and Thursday or by appointment at Summit High School
II.
Course Description:
Continuation of single variable calculus which will include techniques of integration, polar
coordinates, analytic geometry, improper integrals, and infinite series.~~This course is one
of the Statewide Guaranteed Transfer courses. GT-MA1
III.
Student Learning Outcomes, Competencies, and Skills:
STANDARD COMPETENCIES:
I. Write and state clearly the definitions and properties, differentiate, and integrate
logarithmic and exponential functions.
II. Set up and solve applied problems involving logarithmic and exponential functions as
selected by the instructor.
III. Differentiate and integrate the inverse trigonometric functions.
IV. Define, differentiate, and integrate hyperbolic functions as selected by the instructor.
V. Use the appropriate algorithm(s), including integration by parts, trigonometric
substitutions, partial fractions, numerical methods, etc., to integrate algebraic, logarithmic,
exponential, trigonometric, and composite functions.
VI. Use various limit theorems to evaluate improper integrals.
VII. Determine the convergence or divergence of various sequences and series.
VIII. Use Taylor and Maclaurin series to express selected functions.
IX. Use Taylor's formula with remainder to approximate selected functions.
X. Identify and graph equations involving a variety of conic sections.
XI. Convert between Cartesian and polar coordinates.
XII. Graph and determine the area of regions defined by polar equations.
XIII. Read, analyze and apply written material to new situations.
XIV. Demonstrate the ability to select and apply contemporary forms of technology to solve
problems or compile information.
IV.
IDEA Objectives:
1. Gaining factual knowledge (terminology, classifications, methods, trends).
2. Learning to apply course material (to improve thinking, problem solving, and
decisions).
3. Developing specific skills, competencies, and points of view needed by professionals
in the field most closely related to this course.
4. Acquiring skills in working with others as a member of a team.
V.
Evaluation Methods and Class Management:
Grading Breakdown:
 Unit Tests: 65%
 Assignments: 5%
 Quizzes: 10%
 Final 20%
Grading Scale:
A:
93% - 100%
B+:
87% - 89%
C+:
77% - 79%
D+:
67% - 69%
F:
<60%
A-:
B:
C:
D:
90% - 92%
83% - 86%
70% - 76%
63% - 66%
B-:
80% - 82%
D-:
60% - 62%
NOTICE:
A student judged to have engaged in academic misconduct as defined in the “Academic Policies
and Requirements” section of the Colorado Mountain College Student Handbook will, at a
minimum, receive a “zero” for the work in question. The student may also be removed from the
class, resulting in a failing grade. All student course material may be submitted to turnitin.com
(or another anti-plagiarism program) at the instructor’s discretion. “Academic Expectations,” the
“Student Code of Conduct and Judicial Process” and more information about academic
misconduct can be found in the Student Handbook.
Students are responsible for course materials from assigned text(s) and reading, lectures, labs, and
other assignments as required.
The instructor may alter any, or all, of this syllabus during the semester as the learning
environment requires. Students will be notified in writing of changes.
Attendance at all class meetings is expected.
If you have a disability protected by the Americans with Disabilities Act (ADA) and Section 504 of
the Rehabilitation Act and feel you may need classroom accommodations based on the impact of your
disability, please contact the Disability Services Coordinator on your campus.
 Alpine and Vail-Eagle Valley Campuses: Deb Farmer at 970-870-4450
 Aspen, Rifle, and Roaring Fork Campuses: Dr. Anne Moll at 970-947-8256
 Summit and Timberline Campuses (including Chaffee County): Sandi Conner at 719-48642003.
Students wishing to withdraw from this course must INITIATE the course withdrawal/drop
process at the site Summit Registration Office.
VI.
Grading System & Options
Information about grading is available in the Colorado Mountain College catalog. You will
receive a grade report for current semester courses at the end of each term. This grade report is
mailed to your permanent mailing address. Reports are mailed approximately two weeks after the
end of the academic term.
VII.
Required Course Materials
Text: Calculus , Foerster, 1998, Key Curriculum Press, ISBN 1-55953-117-7
- This textbook will be provided by the instructor
Calculator: TI-83, TI-83+, TI-83 SE, TI-84+, TI-84 SE
VIII.
Other Information
1.
It is highly recommended that you attend all class periods. If you do have to miss a class,
you are responsible for all of the material. Please speak to me about what was or will be
missed.
Students will be expected to take any tests the day given even if they have been absent
the class before the test.
If absent on a day of a test, students must take it the next class period.
Tests will be graded with partial credit.
Students with disabilities: As required by Section 504 of the Rehabilitation Act,
appropriate accommodations will be made for all students with documented disabilities.
Please let me know of any accommodations as soon as possible.
Students wishing to withdraw from the course after the census date must initiate the
course withdraw procedure.
Study groups are an integral part of mathematics courses, teaming up with classmates to
study and review concepts will prevent struggling.
I encourage students to understand what you are learning, not just memorize facts or
procedures. Please ask questions in class. Chances are if you didn’t understand
something, your neighbor didn’t either.
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IX.
Virtual Library Information
You will find online articles, books and other library resources on the following web site:
http://www.coloradomtn.edu/library/home.shtml.
Virtual Library Help Desk
If you need help with the Virtual Library, email reference@coloradomtn.edu or call Yuliya Lef at
800-621-8559, extension 2804.
Calculus II Course Schedule: (The sequence of topics may be altered at the instructor’s
discretion.)
Parametric Equations, Differential Equations, etc. (Chapters 4, 7, 8, and 10)
-Test will be no earlier than September 5th
Parametric Equations
Euler's Method
The Logistic Equation
First-Order Linear Differential Equations
Arc Length
Area of a Surface of Revolution
Polar Coordinates
Vectors
Algebraic Calculus Techniques for the Elementary Functions (Chapter 9)
-Test will be no earlier than September 26th
Integration by Parts
Trigonometric Integrals (Special Powers)
Trigonometric Substitution
Partial Fractions
Inverse Trig. Functions
Hyperbolic Functions
L'Hôpital's Rule
Improper Integrals
The Calculus of Variable-Factor Products (Chapter 11)
-Test will be no earlier than October 17th
Work
Mass
Moments, Centroids, etc.
Force
The Calculus of Functions Defined by Power Series (Chapter 12)
-Test will be no earlier than November 19th
Sequences
Series and Convergence
The Integral Test and p-Series
Comparisons of Series
Alternating Series
The Ratio and Root Tests
Taylor Polynomials and Approximations
Power Series
Representation of Functions by Power Series
Taylor and Maclaurin Series
Final Exam Review and AP Calculus BC Exam Review
-The Final Exam will be on December 11th and 12th .
Calculus II Assignments:
Unit 4, 7, 8, and 10: Euler’s Method; Calculus of Logistic, Parametric, and Polar
Equations; Arc Length and Surface Area; Calculus of Vectors
Unit 4, 7, 8, and 10 Assignments:
7-5: Numerical Solution of Differential Equations by Using Euler’s Method
p. 334: #Q1-Q10, 1-3
7-5: Logistic Equation Problems
p. 336: #8, 7-5c exploration
4-7: Derivative of a Parametric Function
p. 160: Q1-Q10, 1-9 odd, 13
8-7: Length of a Plane Curve – Arc Length
p. 406: #Q1-10, 5-23 odd, 27
8-8: Area of a Surface of Revolution
p. 413: #Q1-10, 1-23 odd
8-9: Lengths and Areas for Polar Coordinates
p. 421: #Q1-10, 1-17 odd
10-7: Vector Functions for Motion in a Plane
p. 541: #Q2-6, Q9-10, 1-9 odd
Unit 4-10 Review Sheet
Unit 9: Algebraic Calculus Techniques for the Elementary Functions
Unit 9 Assignments:
9-2: Integration by Parts – A Way to Integrate Products
p. 439: #Q1-Q10, 1-11 odd
9-3: Rapid Repeated Integration by Parts
p. 443: Q1-Q10, 1-17 odd, 27, 33-38, 42
9-5: Integrating Special Powers of Trigonometric Functions
p. 453: #Q1-Q9, 1-27 odd
9-6: Integration by Trigonometric Substitution
p. 459: #Q1-Q10, 1, 7, 9, 15, 17
9-7: Integration of Rational Functions by Partial Fractions
p. 464: # 1-17 odd (#17- Find zeros of denominator on calculator to
factor it!)
9-8: Integrals of the Inverse Trigonometric Functions
p. 471: #Q1, Q3-Q10, 1-9 odd
9-9: Calculus of Hyperbolic Functions
p. 478: # 3-11 odd & #6 on note sheet
9-10: Improper Integrals
p. 488: # 1-9 odd, 13, 17
Unit 9 Review Sheet
Unit 11: The Calculus of Variable-Factor Products
Unit 11 Assignments:
11-2: Work Done by a Variable Force
p. 561: #Q1-Q9, 1-5 odd
11-3: Mass of a Variable-Density Object
p. 565: Q3-Q10, 1-5 odd
11-4: Moments, Centroids, Center of Mass, and the Theorem of Pappus
p. 573: #Q1-Q10, 1-5 odd
11-5: Force Exerted by a Variable Pressure – Center of Pressure
p. 580: #Q1-Q10, 1, 5
11-6: Other Variable-Factor Products
p. 584: #Q1-Q10, 1-5 odd
Unit 11 Review Sheet
Unit 12: The Calculus of Functions Defined by Power Series
Unit 12 Assignments:
12-2: Geometric Sequences and Series as Mathematical Models
p. 603: #Q1-Q10, 3ab, 5, 7a-c
12-3: Power Series for an Exponential Function
p. 607: 1-5 all
12-4: Power Series for Other Elementary Functions
p. 613: #Q1-Q10, 1, 3, 7
12-5: Taylor and Maclaurin Series
p. 619: #Q1-Q10, 9-29 odd, 35ab
12-6: Interval of Convergence for a Series - the Ratio Technique
p. 626: #Q1-Q10, 1-15 odd, 23, 25
12-7: Convergence of Series at the Ends of the Convergence Interval
p. 637: #Q1-Q10, 1-15 odd, 21a-c, 25-29 odd
12-8: Error Analysis for Series
p. 646: #Q1-Q10, 1-7 odd, 11,13
Unit 12 Review Sheet
Final Exam Review