12th grade AP Calculus BC
Welcome to AP Calculus BC
Instructor: Mrs. Gefter
Email: mgefter@jbha.org
Phone: 610-922-2422
AP Exam:
This course will prepare you to take the Calculus BC Advanced Placement Exam given on Wednesday, May 5, 2010 (morning session).
Syllabus:
This course is a rigorous treatment of the topics of single-variable calculus. This year we will
complete applications of differentiation including optimization, mean value theorem and
L’Hopitals’s rule and we will begin studying integral calculus: antiderivatives, area under a
curve and between curves, the definite integral, velocity and acceleration, volumes of solids
of revolution, length of a plane curve, techniques of integration and differential equations. We
end the year studying infinite series, parametric equations, polar coordinates and vector-
valued functions.
Class Procedures and Syllabus
Trimester 1 Assignments
| Assignment |
Due Date |
| 10 point problem on rectilinear motion |
Oct. 28th |
| All problems from ch 6 assignment sheet for review |
Oct. 27th |
| Study for test |
Oct 29th |
| Assignment #1 in section 7.1 |
Nov. 2 |
| Assignment #2 in section 7.1 |
Nov. 3 |
| Assignment #1 in section 7.2 |
Nov. 4 |
| Assignment #2 in section 7.2 |
Nov. 5 |
| Assignment #3 in section 7.2 |
Nov. 6 |
| p.490:1-7 odd, 21 |
Nov 10 |
| Assignment on section 1.8 Parametric equations |
Nov. 11 |
| p. 490: 9-13 odd, review parametric |
Nov 12 |
| 1st Assignment in section 8.2 |
Nov. 13 |
2nd Assignment in 8.2, section 8.3,
section 8.5, section 8.7
2 10 point problems |
Nov.25
Put 10 point problems in my mailbox |
| Continue assignments in 8.2,8.3, 8.5 and 8.7 |
Dec.1-3 |
| Study for test |
Dec. 4 |
| p. 585: 1-11 odd |
Dec. 5 |
| p.585-6: 13-29 odd |
Dec 7 |
Work on review sheet for methods of integration and
p. 606: 15-23 odd, 27-31 odd |
Dec 8 |
| Differential Equations Sheet 3 AP problems |
Dec 9 |
| More AP problems |
Dec 10 |
| Slope field worksheet and review sheet for methods of integration |
Dec. 14 |
| p. 613: 3,5,7,9,13,15 |
Dec. 17 |
| 10 point problem |
Dec. 22 |
| study for group quiz on differential equations, slope fields, Euler's method |
Dec. 23 |
| Start reviewing for Midterm by redoing problems from previous tests |
Jan 4 |
| Non calculator review sheet for midterm |
Jan.5 |
| Calculator review sheet |
Jan 6 |
| BC Non calculator sheet |
Jan 7 |
| BC Calculator sheet |
Jan 8 |
| Study for test |
Jan 11 |
| No homework |
Jan 12 |
| Find cubic polynomial approximations for y=e^-x, y=sin x, y=cos x at x=0 |
Jan 13 |
| p.646: 11,15 |
Jan 14 |
| p.646: 19,23, problem on board |
Jan 15 |
| Read section 10.2; p. 656: 1-29 odd |
Jan 19 |
| p. 663: 3-21 odd |
Jan 20 |
| p. 670: 1-17 odd, 24,25,29 |
Jan 21 |
| 10 point problem |
Feb 3 |
| Complete exploration started in class |
Feb 2 |
| Section 10.10: 1,2,5,6,19,21,23a |
Feb 4 |
| 10 point problem |
Feb 8 |
| Worksheet on power series by substitution, differentiation and integreation |
Feb 5 |
| section 10.5 1-23 odd, 6 |
Feb 9 |
| 10 point problem |
Feb 10 |
| Take home test |
Feb 19 |
| 1-31 odd on 11.5 handout |
Feb 22 |
| 4 10 point problems |
March 5 |
p.684: 1-9 odd, 21-35 odd
p. 692: 13-23 odd |
March 8 |
Review for test
We will discuss problem from 1999 test |
March 9 |
12.1 Handout (Best) 18,22,27,28
12.2 Handout: 5,9 |
March 11 |
| Take home series problems |
March 15 |
| 12.3 and 12.4 |
March 16 |
| p.560:1-11 odd |
March 17 |
| Area of polar graph: 1,3,4,5,9 |
March 18 |
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