AP Calculus AB/BC
INSTRUCTOR: Sheryl Garner
AP Calculus AB
Syllabus / Prep Course
Course Description: (11th-12th)
This course could allow students to earn college credits through the advanced placement testing program. Advanced Placement (AP) course in calculus consists of a full high school academic year of work that is comparable to a calculus course in colleges and universities. AP Calculus course is outlined by the College Board, along with additional topics that the instructor deems fit to include. Each student will complete an AP exam at the end of the semester that will be counted as the final exam for this course. During the last weeks of spring semester (after the official AP exam), advanced topics will be covered. The course is primarily concerned with developing students’ understanding of the concepts of calculus and providing experience with its methods and applications. A major objective of the class is to prepare students for the AP Calculus AB exam to be given in the spring. Most universities award COLLEGE CREDIT to students based upon their scores on this exam. It is mandatory for students to participate in the national exam on in May.
CLASS SUPPLIES Student supplies consist of three ring binder with dividers, rulers, graph paper, laptop, pens and pencils. These supplies must be brought to class on each class-meeting day. Calculators will be used on the AP exam you will use graphing technology and basic scientific calculators.
Course Outline: AP Calculus AB / Training
Review of Pre-calculus
How to find the Limit:
Graphically, Numerically, Algebraically
Logarithmic Differentiation and Natural Logarithms
Physics and other applied calculus problems
How to solve related rate word problems
Using nDerive to solve derivative problems
How to integrate using various techniques
Average Value of a function
Intermediate Value Theorem
Extreme and Mean Value Theorem
Riemann Sum Approximation
How to find the area under a curve and between graphs
Net Area versus total Area (Distance vs Displacement)
The connection between limits and derivatives
How to find and simplify derivatives.
Power, Product, Quotient, Chain
How to apply the first and second derivative tests
Max’s and min’s, concavity and inflection
Using Calculus to graph functions
Fundamental theorem of calculus
Net Change Theorem
Volumes of Revolutions (Disc and Shell Method)
Volumes by cross sections
Trig and Inverse Trig differentiation
How to find the equation of the tangent line at a given point using derivatives
How to solve applied optimization problems
Solve Separable differential equations
AP Test Review
1. Respect other when they are talking
Wait your turn to speak, do not talk over others, and raise your hand to speak
2. Be prepared to be successful (using technology only as instructed by the teacher).
Bring pencil, binder, Power Up device and no other electronics expect for learning
3. Do not disrupt the learning environment by minimize your movement and talking.
4. I expect you to follow THE Program rules.
5. I expect you to be in your seat with a sharpened pencil and supplies when your session starts.
6. Keep your hands off of others and their things.
7. Treat other people property better than you treat your own.
8. I expect you to complete your work in pencil. We all make mistakes, and pencils allow
mistakes to be corrected easily and neatly.
9. I expect students to follow the school’s policy concerning breaks from sessions.
10. I expect students to follow the Fostering Stars College Prep’s policy of keeping their heads off the desktops during training.
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