 Industrial High School
 Syllabus  AP Calculus AB

Welcome to AP Calculus AB! Congratulations! You are entering a first semester college level Calculus class. This is an Advanced Placement course in which college credit can be received upon passing an exam offered on Tuesday, May 5th. This class is an intensive study of a 1st semester Calculus class. We will work throughout the year preparing for this exam.
Supplies Needed:
Please check the supply list on my webpage!
Curriculum:
The following is an outline of the topics covered in the AP Calculus AB class.
Limits and Continuity
 Limits of a Function graphically and with tables
 Limits of a Function as x approaches C – algebraically
 One Sided Limits
 Definition of Continuous Functions
 Intermediate Value Theorem
 Limits as x approaches infinity and Limits that are infinity
Derivatives
 Average and Instantaneous Velocity
 The Difference Quotient
 Functions and the graphs of their Derivatives
 Equation of a Tangent line
 Formal Definition of a Derivative
 Differentiability
 Introduce Slope fields for graphs of derivatives
 Constant and Power Rule
 Product and Quotient Rule
 Linear Approximations
 Derivatives of Absolute Values and Piecewise Functions
 Derivatives of Trig Functions
 Tangent lines of Trig Functions
 Chain Rule (nontrig)
 Chain Rule and the Trig Functions
 Higher order Derivatives
 Rates of Change
Implicit & Related Rates
 Implicit Differentiation
 Implicit Differentiation a second look
 Related Rates and Geometry Formulas
 More Related Rates
Applications of Derivatives
 Extreme Values and Local Extrema
 Mean Value Theorem
 First Derivative Test: Increasing/Decreasing
 Concavity
 The 2^{nd} Derivative Test
 Using graphing to relate f(x), f’(x), f “(x)
 Optimization
 Inverse Functions
 Exponential and functions
 Derivatives of a^{x} and e^{x}
 Derivatives of logarithmic functions
 L’Hopital’s Rule
Integration
 Antiderivatives or Indefinite Integrals
 Definite Integrals
 Area under Curves
 Reimann Sum
 Definite Integrals as a Limit of a Reimann Sum
 Fundamental Theorem of Calculus
 The Mean Value Theorem for Integrals
 Fundamental Theorem of Calculus Part 2
 USubstitution
 Integration of e^{x} and ln x
 Trapezoid Rule
Applications of Definite Integrals: Volume
 Area between two curves
 Solids of Revolution: Disk Method
 Washer Method
 Volume of solids with known Cross Sections
Differential Equations
 Slope Fields
 Differential Equations with Slope Fields
 Separation of Variables
 Growth and Decay
At the end of the year, you will take a comprehensive exam in my class that will count as a major test grade. It will review all concepts covered in preparation for the AP exam.
Grading Policy:
Daily Work: 40% Major Work: 60%
Homework assignments Tests
Binder Check Quiz Average
Projects
A binder will be kept daily to include notes, assignments, quizzes and test reviews and will be graded at the end of the six weeks and used as a daily grade. All assignments, quizzes and tests should be done in pencil. A paper that is in pen or colored pencil will have 10 points deducted from it.
You will be given at least two day's notice before a test. A review will be given the day before the test. If you are absent the day of the test, you will make it up on the day you return to class. In AP Calculus, 2 day tests are sometimes given. You may be given projects throughout the year. They will be counted as a test grade. You will have plenty of time to complete it and it is due on the assigned date, no exceptions will be made. Projects may always be turned in early. Take home tests may be given throughout the year. The due date will be given in class. You will have plenty of time to complete it and it is due on the assigned date, no exceptions will be made. Take home tests may always be turned in early.
You may be given daily quizzes throughout the six weeks. They will help you keep up with the assignments that we have gone over. If you are absent on the day of the quiz, you will need to make it up immediately upon returning to class. You may also be given take home quizzes. The due date will be given in class. You will have plenty of time to complete it and it is due on the assigned date, no exceptions will be made. Take home quizzes may always be turned in early. The quizzes taken during the six weeks will be averaged together and used as a test grade.
Homework will be assigned in class regularly and should be completed before attending the class on the next day. Homework will be used as practice for quizzes and tests. Homework is due at the beginning of each class period.
Late work is highly discouraged! I will follow the district guidelines for late work. See your student handbook. If you are going to be absent for an extracurricular event, it is your responsibility to get your work and be ready to return to class when your event is over. If you are missing a test or quiz, you will need to make arrangements with me before you go.
If you are absent from school that does not involve extracurricular activities, you will be allowed 2 days for each day absent to turn in your work. It is your responsibility to get your makeup work and to turn it in. You may always request work from the office so that you do not get behind.
Tutorials are held in the morning and afternoon. I plan on being available for tutoring by 7:30 am each morning. I plan on being available till at least 4 pm afterschool. Arrangements can also me made with me during lunch.
An assignment sheet will be given to all. The daily assignments should be recorded on it. You may record your grades as well.
My classroom rules are:
 Bring supplies and be in the class ready to learn as soon as the bell rings.
 Respect others and their property especially the classroom supplies that are shared by all.
 Obey all school policies.
** I can be reached during 4th period.