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Syllabus


Course Title: AP Calculus AB/BC
 
Required Textbook: Calculus by Larson, Hostetler, and Edwards, 8th Edition. Link to exercises and Odd numbered solutions
 
Contact: Use school email available in the school staff directory.
 
Prerequisites: Strong foundation in both algebra and geometry
 
Materials:
  • A Graphing Calculator is required on the AP exams. I strongly suggest that you purchase your own for use in class and home. The recommended calculator is TI84+
  • A Notebook for homeworks.
     

Brief Topic Outline:

I. Functions, Graphs and Limits
  • Analysis of graphs.
  • Limits of functions
  • Asymptotic¬†behavior
  • Continuity
 
II. Derivatives
  • Concept of the derivative
  • Derivative at a point
  • Derivative as a function
  • Differentiation rules
  • Applications of the derivative
 
III. Integrals
  • Antiderivatives
  • Fundamental Theorem of Calculus
  • Techniques of antidifferentiation
  • Numerical Integration
  • Applications of Integration
 
IV. Sequences and Series (BC)
  • Series and convergence
  • Tests for convergence or divergence
  • Taylor Polynomials
  • Power Series
  • Taylor Series
 

Course Goals

Advanced Placement courses adopt College Board guidelines. Goals set forth in this framework are met by this course.

Attendance and Attention

AP calculus is a rigorous, college-level course that requires excellent daily attendance and attention for successful completion. Come to class ready having done previous nights' homework and study questions. Moreover, disturbances in class hinder everyone’s learning. Sometimes you may be frustrated if solutions don't come easy so seek help but do not interrupt and be supportive of the efforts of your classmates and the instructor. Disturbances will affect class participation grade and will be followed by parent contacts. Electronics are not allowed in class as per school policy.

Integrity and Excellence

I want to hear your ideas. Class needs your ideas. To make an idea grow requires a lot of hard work. You may sometimes be fully frustrated at your repeated attempts to create solutions and proofs for your ideas. These attempts add to your own understanding and increase your ability to eloquently relay the idea. Also, sometimes you must ask questions and seek help from myself or your classmates. You are encouraged to do so. However, copying someone else’s work and presenting it as your own will earn a score of zero for all parties involved. This is a violation of academic integrity. 

Homework and Participation

Complete all homework assignments including those for which you may have been absent from class. Use this website to figure out exactly what you have missed on your day of absence. Only the homework submitted on the due date will receive full credit. You are encouraged to collaborate with your classmates.  However, try to do all problems yourself, to maximize your understanding.  The exams will test your understanding of the concepts and you will be at a disadvantage if you do not gain the practice and knowledge. Missing work due to absence and lateness can affect the participation and homework portions of the grade. Show a note for an absence to the teacher on the day of return to class.

Tests and Quizzes

You must take every exam.  If you are absent on the day of a test, bring a note from a doctor or your parents and a make-up will be given on the day you return to class.  No extra time will be given for a test or a quiz should you come late to class on the test day without a note. Quizzes may be regular and unannounced. No makeups will be given for missed quizzes.

Resources and Extra-Help

Explanation videos as well as a variety of perspectives on concepts are present openly on YouTube and other math forum platforms; these are a google search away. It is often beneficial to see different explanations for the same ideas. Moreover,  a full list of lessons along with study questions and other helpful resources are available on this website. Use them to help with your studies.

School Policies School policies on dress code and electronics are available on the school website and will be highlighted at the beginning of the class in September.