Syllabus – AP Calculus AB

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AP/CAPP Calculus I Syllabus

Ms. Arts

Phone: 779-7933 Ext. 17121

Email: lenaarts@hasd.org

AP/CAPP calculus is a fast paced, in-depth, college level course equivalent to Semester I

Calculus at most universities.

CAPP (Cooperative Academic Partnership Program)

To be eligible for CAPP Calculus I students have to pass UW-Oshkosh Math Placement

Test. Students enrolled in CAPP Calculus earning a “C” or better receive 4 credits at

UWO for 1 st

semester calculus or UWO Calculus 171. This course covers enough material to receive credit for Madison's Calculus I (221). In order to receive credit students have to take their syllabus and file an appeal with the registrar's office in

Madison or the Math Department.

Use this link to the University of Wisconsin Oshkosh CAPP for more information. http://www.uwosh.edu/capp

AP (Advanced Placement)

It is expected that students enrolled in AP Calculus will take the AP Exam in May.

Students should contact their college or university of choice to determine appropriate credit and placement.

Use this link to the AP College Board for more information. http://apcentral.collegeboard.com

Textbook

Calculus; Graphical, Numerical, Algebraic, by Finney, Demana, Waits, Kennedy.

Copyright 2007.

Chapters 2 – 7.3, and Lesson 8.2

Calculators:

TI 84 Graphing Calculator will be rented for a small fee from the HHS Math Dept.

(TI 89 Titanium graphing calculator can NOT be used in this course).

Calculators are not allowed during in-class quiz and exam questions (unless stated by instructor). Cell phone calculators may not be used.

Materials Needed

lots of paper spiral notebook pencil and eraser

TI 84 Graphing Calculator will be rented for a small fee from the HHS Math Dept.

(TI 89 Titanium graphing calculator can NOT be used in this course).

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General Objectives

1. Students will be able to work with functions represented in a variety of ways: graphical (a picture), numerical (a table of values), algebraic (formula), or verbal.

Students will understand the connections among these representations.

2. Students will develop an understanding of the concepts, methods and applications of calculus. Students will be able to interpret these in their own words and be able to communicate them clearly whether written or oral.

3. Students will interpret, create or develop mathematical models that represent real or simulated phenomena.

4. Students will be able to perform the standard algebraic operations of calculus on a basic library of functions and their composites.

5. Students will use the TI graphics calculator to enhance their understanding and effectively support their problem solving skills.

Expectations

Listen attentively; be positive; show mutual respect and mental toughness. I expect approximately six hours of focused study time per week. Also consider forming study groups.

I expect students to: a. Do problems analytically, by hand. b. Demonstrate their understanding of the theorems and underlying concepts. c. Apply mathematics to the real world (medicine, chemistry, physics, biology, economics, business and engineering). d. Problem-solve and communicate using the language of mathematics, including the use of technology.

I want my students to understand math with depth and through a variety of approaches. It has been my experience that this is the best way to learn. With your help we can make this a positive, comfortable atmosphere for learning.

Coursework/Participation/Presentations Become involved in classroom discussion and presentations. I want a classroom with interaction, students engaged in mathematical thought and the learning process. Demonstrate a desire to learn by attacking problems, not just watching others do them. Take responsibility for your own learning. Your cooperation in the classroom, attitude, effort and leadership are important.

Projects Projects will be assigned and must be turned in for a grade. Group and/or individual presentations may be assigned.

Homework Homework will be assigned daily but not graded. However there will be a few take home problem sets which will be graded. I expect that you read the lessons, then carefully and completely work the assigned problems. Your success will depend on reading, questioning and thinking about the ideas presented and seeking help for unsolved problems.

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Quizzes/Tests/Final Exam

Quizzes are used to check for understanding and evaluate short-term progress.

There will be at least one test per chapter. Test questions will ask you to synthesize ideas and will not just imitate the homework. The final exam will be comprehensive.

Prerequisite Topics for Calculus:

Chapter 1 of text to be reviewed by the student: Lines, functions and graphs, exponential functions, parametric equations, functions and logarithms, trigonometric functions.

Topics Covered

Limits and Continuity : Rates of change and limits, limits involving infinity, continuity, rates of change and tangent lines. L’Hopital’s Rule.

Derivatives: Derivative of a function, differentiability, rules for differentiation, velocity and other rates of change, derivatives of trigonometric functions, chain rule, implicit differentiation, derivatives of inverse trigonometric functions, derivatives of exponential and logarithmic functions.

Applications of Derivatives : Extreme values of functions, mean value theorem, connecting f ' and f '' with the graph of f , modeling and optimization, linearization and

Newton’s method, related rates.

The Definite Integral: Estimating with finite sums, definite integrals, definite integrals and antiderivatives, Fundamental Theorem of Calculus, trapezoidal rule.

Differential Equations and Mathematical Modeling : Antiderivatives and slope fields, integration by substitution, integration by parts, exponential growth and decay, population growth, numerical methods, Euler’s method.

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Applications of Definite Integrals : Integral as net change, areas in the plane, volumes, application from science and statistics.

Represent differential equations with slope fields, solve separable differential equations analytically, and solve differential equations using numerical techniques such as Euler’s method.

Grades

Quarter grades will be calculated according to the following weighted categories:

Projects/Graded Work – 10%

Quizzes – 30%

Exams – 60%

Semester grades will be based on 40% of each quarter grade and 20% of the final exam grade.

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Re-Takes: No re-takes for quizzes, No re-takes for tests will be given.

A + 97 - 100%

A 93 - 96

A- 90 - 92

B+

B

87 - 89

83 - 86

B- 80 - 82

C+ 77 – 79

Grading Scale

C 76 - 73

C- 70 - 72

D+ 67 - 69

D 63 - 66

D- 60 - 62

F below 60%

Semester grades will be based on 40% of each quarter grade and 20% of the final exam grade.

Excused Absences

Student attendance and class participation are necessary for overall success in the course.

Student absences, other than illness, are strongly discouraged.

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