This course covers all the topics you need to know to achieve a passing score on the College Board Advanced Placement Calculus BC exam, including helpful test-taking tips. You’ll apply derivatives to set up and solve real-world problems involving instantaneous rates of change and use mathematical reasoning to determine limits of certain indeterminate forms. Calculus 1 Study Guide (a resource for Semester 1 Calculus at UC Berkeley) BC Study Guide. , I will not answer any questions on the day of the exam. have your teacher’s permission to VIDEO RECORD, AUDIO RECORD, TAKE PHOTOS, or COPY ANY PORTION of the Zoom Meeting session. Be respectful of yourself, your classmates, and your teacher during the Zoom sessions. to arrange for a make-up test. CTY does not register students for, or administer the College Board AP Calculus AB/BC Exams. AP Calculus BC Course Syllabus Mrs. Cathy Doxtater (Once we return to face-to-face school, subject to change) catherine.doxtater@houstonisd.org Tutorial Times: Most mornings 7:45 – 8:20 a.m. (281) 920-8000, ext. Limit crosstalk and stay focused on the course content and the presentation. If you enroll in this course, you can expect 3 hours of instruction per week over the course of a month and 3 hours of homework per week as well. These steps often involve – but are not limited to – the identification of all the given information; the determination of a methodology and various tools/formulas required to solve the problem; the arrival at the possible answer(s); and the verification of the accuracy and validity of each answer. : When posting your work online, in the Google Classroom, your work must be legible and clear. You must check the answers for the odd-numbered questions assigned, in the back of your textbook, you attend a class meeting. Go to AP Central for resources for teachers, administrators, and coordinators. This course is designed to give you a strong foundation for Pre-Calculus topics that you will need for the AP Calculus AB/BC exam! You’ll perform experiments and investigations and solve problems by applying your knowledge and skills. Furthermore, students need to be able to explain all of these to someone else in an understandable manner. Often times, your questions may get answered while I address someone else’s question. Description: AP Calculus BC is roughly equivalent to both first and second semester college calculus courses. Quizzes may sometimes be given on the material presented that day, for a quick check-for-understanding. You are required to be prepared to turn your camera and microphone ON or OFF as directed by your teacher, during each Zoom session. If you fail to do so, you will earn a zero. automatically receive a zero and no make-up test will be given to you. You’ll explore convergence and divergence behaviors of infinite series and learn how to represent familiar functions as infinite series. 036210 Office Hours: 12:05 – 1:00 p.m. Room #: E121 No Tutorials: 1st Tuesday lunch (NHS Officer Mtg. Calculus Theorems You Should Know. It clearly lays out the course content and describes the exam and AP Program in general. Please be sure your pictures are clear, large, and focused. If you fail to do so, you may be marked absent for that day. This course requires that students provide clear and concise step-by-step reasoning for their work – as required on the AP math exams – NOT just the final answers. I acknowledge that I have read and have fully understood Mr. Ghavam’s, Course Description and Policies/Course Syllabus. You’ll also deepen your understanding of straight-line motion to solve problems involving curves. The content is subject to change and will be updated, from time to time, as applicable. I acknowledge that I have read and have fully understood Mr. Ghavam’s Course Description and Policies/Course Syllabus and will adhere to the content, at all times: Name: Period: Signature: Date: Every student enrolled in this course is expected to participate in the AP Exam close to the end of the Academic Year. I do NOT require one for this course. Students develop a clear understanding of the concepts, as well as their applicability in real world situations. Act professionally at all times! This course is extremely challenging. Explore the concepts, methods, and applications of differential and integral calculus, including topics such as parametric, polar, and vector functions, and series. : Start with your Microphone OFF and your Camera ON. You’ll start to explore how limits will allow you to solve problems involving change and to better understand mathematical reasoning about functions. Team-Practices are opportunities for students to work in a team environment and prepare for the upcoming chapter/unit test. AP Calculus AB and BC College Board Course Description. Do NOT expect me to accommodate you immediately, as I often need time to gather the required information. AP Calculus BC can lead to a wide range of careers and college majors, Unit 2: Differentiation: Definition and Fundamental Properties, Unit 3: Differentiation: Composite, Implicit, and Inverse Functions, Unit 4: Contextual Applications of Differentiation, Unit 5: Analytical Applications of Differentiation, Unit 6: Integration and Accumulation of Change, Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions, How limits help us to handle change at an instant, Definition and properties of limits in various representations, Definitions of continuity of a function at a point and over a domain, Reasoning using the Squeeze theorem and the Intermediate Value Theorem, Defining the derivative of a function at a point and as a function, Connecting differentiability and continuity, Determining derivatives for elementary functions, The chain rule for differentiating composite functions, Differentiation of general and particular inverse functions, Determining higher-order derivatives of functions, Identifying relevant mathematical information in verbal representations of real-world problems involving rates of change, Applying understandings of differentiation to problems involving motion, Generalizing understandings of motion problems to other situations involving rates of change, Mean Value Theorem and Extreme Value Theorem, How to use the first derivative test, second derivative test, and candidates test, Sketching graphs of functions and their derivatives, Using definite integrals to determine accumulated change over an interval, Approximating integrals with Riemann Sums, Accumulation functions, the Fundamental Theorem of Calculus, and definite integrals, Properties of integrals and integration techniques, extended, Interpreting verbal descriptions of change as separable differential equations, Sketching slope fields and families of solution curves, Using Euler’s method to approximate values on a particular solution curve, Solving separable differential equations to find general and particular solutions, Deriving and applying exponential and logistic models, Determining the average value of a function using definite integrals, Determining volume with cross-sections, the disc method, and the washer method, Determining the length of a planar curve using a definite integral, Finding derivatives of parametric functions and vector-valued functions, Calculating the accumulation of change in length over an interval using a definite integral, Determining the position of a particle moving in a plane, Calculating velocity, speed, and acceleration of a particle moving along a curve, Finding derivatives of functions written in polar coordinates, Finding the area of regions bounded by polar curves, Applying limits to understand convergence of infinite series, Types of series: Geometric, harmonic, and p-series, A test for divergence and several tests for convergence, Approximating sums of convergent infinite series and associated error bounds, Determining the radius and interval of convergence for a series, Representing a function as a Taylor series or a Maclaurin series on an appropriate interval.
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