Welcome to Calculus BC


from:Lukina, Natalia

to:Calculus BC

Time Sept. 07, 2017

This  is  a  course  in  single-variable  calculus.  Our textbook is Art of Problem Solving Calculus, by David Patrick. This  course  covers  limits,  continuity,  derivatives  and  their applications, definite and indefinite integrals, infinite sequences and series, plane curves, polar coordinates, and basic differential equations. This course is approved by the College Board as an AP Calculus BC class.

The philosophy of this course is that students develop more by learning to solve problems they have not seen before, as opposed to offering repeated drills that students can memorize their way through. Students will gain a fundamental understanding of single-variable calculus, beyond the level of rote calculation and will learn how to apply calculus techniques to solve difficult problems.

At the end of the course all student will take AP Calculus BC exam. The exam date is Tuesday May 15, 2018 at 8am. We will finish all the curriculum topics by the spring break (March 30th, 2018) and will concentrate on review and test prep during the last five weeks.

Course Syllabus (September, 2017 - March, 2018)

WEEK 1 - Trig Functions, Logarithms, and Exponentials
WEEK 2 - Sets and Functions
WEEK 3 - Limits and Continuity
WEEK 4 - Definition of the Derivative
WEEK 5 - Chain Rule and Implicit Differentiation
WEEK 6 - Interpretation of the Derivative
WEEK 7 - Optimization
WEEK 8 - More Derivative Applications
WEEK 9 - Related Rates
WEEK 10 - The Fundamental Theorem of Calculus
WEEK 11 - Integration I
WEEK 12 - Integration II
WEEK 13 - Integration III
WEEK 14 - Applications of the Integral
WEEK 15 - Infinity
WEEK 16 - Improper Integrals
WEEK 17 - Sequences
WEEK 18 - Taylor Series
WEEK 19 - Parametric Curves
WEEK 20 - Polar Coordinates
WEEK 21 - Extra Problems Day
WEEK 22 - Differential Equations I
WEEK 23 - Differential Equations II
WEEK 24 - Some Harder Problems

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