AP CALCULUS (BC) MRS SINGLER PLAINFIELD SOUTH HIGH SCHOOL

A DATAORIENTED ACTIVE LEARNING POSTCALCULUS INTRODUCTION TO STATISTICAL CONCEPTS
ALTITUDE AND BOILING POINT NAME INTRO TO CALCULUS T
AN INTERLUDE ON SIGNIFICANT FIGURES AND A LITTLE CALCULUS

AP CALCULUS (BC) MRS SINGLER PLAINFIELD SOUTH HIGH SCHOOL
AP CALCULUS AB – CHAPTER 2 – AVERAGE RATE
AP CALCULUS EXAM PREPARATION ASSIGNMENTS SPRING 2017 THURSDAY MARCH

Information Sheet for Integrated Math III

AP Calculus (BC)

Mrs. Singler

Plainfield South High School 2018-19

[email protected]

Course Description:

This course covers two semesters of college credit in the Calculus of single Variable Calculus. In this course students will develop the preliminary concepts and skills associated with limits; techniques and applications of differentiation and integration; parametric, polar, and vector functions; differential equations; and polynomial approximations and series including the Taylor and Maclaurin series. Multiple representations of each concept will be investigated – graphical, analytical, numerical, and verbal. Technology will be integrated throughout to develop and enhance the curriculum. Students are expected to perform college level work and are expected to take the Advanced Placement Exam.

Expectations:

Attend class on a daily basis.
All electronic devices are to be off and away during the day
Keep a class notebook of notes, model problems, and homework assignments with noted corrections.
Read the assigned textbook readings.
Participate in class, group discussions, and problem solving activities.
Schedule make-up deadlines with the individual teacher when an absence occurs.
Failure to do so may result in our school’s minor/major incident report to be filed each semester.

Materials Needed in class each day:

Textbook and Notebook/binder
Pencils with erasers, pen for corrections
Graphing Calculator TI-89, TI-84, TI-83 or TI-nspire recommended

Course Syllabus:

Semester One

Over the course of the first semester students should be able to work with:

Functions – linear, quadratic, power, exponential, logarithmic, and trigonometric.
Limits – evaluate and perform operations with limits, and determine the continuity of a function.
Derivatives – develop the concept of the derivative and the skills needed to calculate and evaluate the derivative using explicit and implicit techniques.
Applications of Derivatives – use the derivative to analyze polynomial, rational and trigonometric functions and their graphs while modeling real world applications such as optimization, related rates, and motion problems.
Curve sketching – apply curve-sketching techniques to trigonometric, exponential, and logarithmic functions.

Antiderivatives – develop the concept of the antiderivative.

Area – find the area under a curve using Riemann Sums and integration, find the area between two curves.
Integrals – find definite and indefinite integrals.
Applications of Integrals – solve motion problems.
Volumes – find the volumes of solids of revolution and volumes with known cross-sections.

Semester Two

Over the course of the second semester students should be able to work with:

Advanced techniques of integration
Improper integrals
Modeling with differential equations
Euler’s Method
Parametric equations, polars, vectors, and conic sections
Series—convergence/divergence tests, approximations, and error bounds

Practice sets Procedure:

All practice sets should be done on loose leaf or plain white paper. A 3-ring binder is recommended as homework assignments will be collected periodically. Your name, the page number, assigned problems, and date should be written at the top of the page. Space must be left if any problems need additional work. All corrections should be made as we review the problems in class.
Textbook and your notebook/binder MUST be brought to class every day. All handouts and returned materials should be kept in a folder or binder.
There may be unannounced practice problem checks and notebook quizzes.

Grading:

Grades will be based on accumulated points. Performance is graded on tests and quizzes (70%), class activities and practice sets (10%), and the final exam (20%). Students should keep track of their grades online. Credit will NOT be given for late work or answers without supporting work. Work is considered “late” if it is not turned in prior to the assessment covering the material.

Extra Help:

Math teachers are available to help in each lunch study hall period.
Tutors are available in the Math/Science Lab. Sign up before school to receive tutoring during lunch study hall.
I am available for extra help before school by appointment
Link to possible text book solutions: http://www.slader.com/textbook/9780495011613-stewart-single-variable-calculus-6th-edition/
Homework Help Sites: patrickjmt.com khanacademy.com

Make ups:

Time missed from school can never truly be made up; the interaction in the classroom cannot be replicated by doing make-up work. For an excused illness absence, the student is entirely responsible for requesting the make-up work from the teacher(s). Tests/quizzes will be scheduled appropriately by the teacher. Students will be given one school day for each day of excused absence to make up assignments and tests. All missing grades will be assigned a zero until make up work has been graded. Additional considerations will be given for students with extended illnesses. In a matter of disciplinary absence it is the suspended student’s responsibility to make up missed work or tests. Work is due on the date of return to school.

Absent for a non test or quiz day: Check the calendar for the assignment; Get the class notes from a classmate; If needed ask for help. Seek assistance from your teacher only after you can demonstrate a valid effort to learn the material.

Absent the day of a test or quiz: If you choose to miss the day of a quiz or test you will be required to make up that grade at the convenience of the teacher. The grade make up may be in a different format from the original test. Expect the make up version to be more challenging. If you know that you will be absent the day of a test, arrange to take it before you leave. THERE SHOULD BE NO REASON TO MISS TEST DAYS. The teacher reserves the right to change this due to extenuating circumstances. All quiz or test grades need to be made up within one week. A zero will be recorded until make up has been graded. Do not count on a reminder from the teacher, be RESPONSILBLE.

First Assignment:

Review your precalculus notes from last year. Journal what you believed your biggest challenge was. How did you (or how will you) overcome that challenge? What do you believe you will learn in BC calculus this year.

AP CALCULUS SUMMER PACKET KEY 1 REMEMBER THE NEGATIVE
C H 83 WKST AP CALCULUS BC NAME AREA
CALCULUS 1 NAME WKST – TANGENT LINE SLOPE

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