AP* Calculus - Syllabus

  • Mr. Ryan Cain – Room H208                 


    941-575-5450 ext7125


    Course Description

    AP* (Advanced Placement) coursework is administered through College Board and allows high-performing students the opportunity to earn college credits while in high school.  The course is weighted as an AP* course and is taught at a higher level.  This course emphasizes the concepts of limits, derivatives, and integration (concepts to be included with transcendentals). These topics will also receive a focus on contextual and analytical applications. Only upon receiving a successful score on the AP* exam in May, will students possibly receive college credit for an introductory calculus course. What will equate to a successful score depends on the college you attend.


    Course Prerequisites

    This course requires a student to have successfully completed Pre-Calculus or other equivalent course. The class will consist of mostly seniors, but juniors are not uncommon.


    Text and Suggested Supplies

    Text: Calculus for AP* Early Transcendentals  2nd Edition, Jon Rogawski and Ray Cannon

    Supplies:         TI-84+ CE, Notetaking supplies, a 1.5" or 2" three-ring binder

    *If you already have an older TI Model, it will be okay*



    This is a lecture-style course where students are expected to take notes. The teacher will provide several examples for the students to follow and if time allows, guided practice during class. The students are expected to complete every assignment, read their text, and review their work on a daily basis. Students should be prepared for quizzes and projects given at the teacher’s discretion.



    Homework is assigned after most lectures, and will be turned in online. Tests and quizzes will also be given throughout the year.





    *subject to change as necessary*


    Classroom Expectations   

    • Students are expected to be on time and prepared for every class.
    • Students are required to participate in class.
    • No food or drink other than water is allowed in the classroom.
    • Be respectful to others.


    Course Objectives

    1. The course teaches students to understand and apply limits and continuity
    2. The course teaches students to use basic differentiation rules.
    3. The course teaches students to differentiate composite, implicit and inverse functions.
    4. The course teaches students to apply derivatives to contextual applications
    5. The course teaches students to apply derivatives to analytical applications
    6. The course teaches students the relationship between integration and accumulation of change.
    7. The course teaches an understanding of differential equations.
    8. The course teaches students to apply applications of integrals.