BC CALCULUS
Course Guidelines
Instructor:
Bojana Trninic-Radja
e-mail: bradja@uplifteducation.org
FACEBOOK: MATHHL IBPHYSICS
Tutorial Times:
any time by appointment
Course Description:
AP Calculus BC provides a deeper understanding of the fundamental concepts and methods of singlevariable calculus developed in AP Calculus AB. There is a continued emphasis on calculus applications and
techniques, with the use of multiple representations including graphic, numeric, analytic, algebraic, and
verbal and written responses. Technology is an integral part of the course and includes the use of graphing
calculators, computers, and data analysis software. The College Board requires the use of graphing
calculators for this course.
BC Calculus will cover following topics:
· Integration by parts
· Integration using partial fractions
· Improper integrals
· Indeterminate forms and L’Hopital’s Rule
· 2-D and 3-D vectors
· Parametric equations and polar coordinates
· Sequences
· Series
· Taylor and Maclaurin series
Assessment:
In BC Calculus students will be assessed using tests (multiple choice, short- and extended response
questions), quizzes and homework. Students can expect tests to be of same level as the AP examination.
Grading:
Homework Quizzes:
20 %
Major Quizzes:
20 %
Exams:
60 %
Homework
The homework grade: you’ll have quiz on the homework. That will be student’s homework grade.
Major Quizzes and Exams:
Major assessments will most commonly consist of AP-style assessments. Major assessments will receive
both a North Hills grade on a 100 point scale and an AP grade on a 5 point scale. The 100-point scale grade
is calculated as part of the quarterly course average and will be posted on Powerschool.. TheAP 5 point
scale grade is not calculated into the course average, but is included as a predictor as to how students are
likely to perform on the AP Math exam in May.
In accordance with NHP’s assessment policy, if a student fails his/her exam they may schedule a re-test to earn up to a
70%. If a student retakes an exam, their second score will stand (up to a 70% max), even if the score is lower than the
first exam score. Student must request a re-test on the same day their receive the score for their first test.
Tutorials:
Students are strongly encouraged to seek tutorial help the moment they realize they are not
mastering key knowledge and skills.
Unit Syllabi:
Unit syllabi covering class activities, exams, readings and other homework for each unit are
available online on the BC CALCULUS web page. In addition, the syllabus for the first unit is attached to
these course guidelines.
Course Web Page:
The course web page is located at www.northhillsprep.org. Simply click on the “Faculty” tab, then
“Radja, Bojana”. In addition to syllabi, class notes, and a variety of other resources are available on the
course web page.
Unit 1 Review
I’m not quite sure that you reviewed all the AB topics over the summer, and as I strongly believe in saying: "if you
don't use it, you lose it.", and there were two month of summer time between (wasted time from math point of view),
we have to start with hefty review. Therefore, first five classes will be used to refresh your memory. During four of
those we will review together and the fifth one will be used for real test.
TENTATIVE SYLLABUS for first nine weeks
4 Intro: Differentiation
4.1 Tangent Line Problem & Differentiability
4.2 Derivatives on the Calculator
4.3 Basic Differentiation Rules
4.4 Product & Quotient Rules
4.5 Rates of Change and Particle Motion I
4.6 The Chain Rule
4.7 Implicit Differentiation
4.8 Derivatives of Inverse & Inverse Trig Functions
4.9 Derivatives of Exponential Functions
4.10 Derivatives of Log Functions & LOG DIFF
5 Intro: Applications of Differentiation
5.1 Extrema on an interval
5.2 Rolle's Theorem and the MVT
5.3 Increasing, Decreasing, and 1st Derivative Test
5.4 Concavity and the Second Derivative Test
5.5 Curve Sketching
5.5B Summary Sheet
5.6 Optimization
5.7 Linearization and Differentials
5.8 Related Rates,