AP Calculus AB/BC
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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 I. Logarithmic Differentiation and Natural Logarithms Physics and other applied calculus problems How to solve related rate word problems I. Using nDerive to solve derivative problems Slope Fields I. How to integrate using various techniques Average Value of a function II. Continuity Asymptotes Intermediate Value Theorem II. Linearization Extreme and Mean Value Theorem L’Hospitals Rule II. Sigma notation Riemann Sum Approximation II. How to find the area under a curve and between graphs Net Area versus total Area (Distance vs Displacement) III. The connection between limits and derivatives How to find and simplify derivatives. Derivative Rules Power, Product, Quotient, Chain III. How to apply the first and second derivative tests Max’s and min’s, concavity and inflection Using Calculus to graph functions III. Fundamental theorem of calculus Definite Integrals Net Change Theorem III. Volumes of Revolutions (Disc and Shell Method) Volumes by cross sections IV. Implicit Differentiation Trig and Inverse Trig differentiation How to find the equation of the tangent line at a given point using derivatives IV. How to solve applied optimization problems Antiderivatives Velocity Problems IV. Solve Separable differential equations U substitution IV. AP Test Review AP Test Conic Sections Resources
Class Rules 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. Phone_______________________ Cell Phone___________________ Email _______________________ |
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