ap bc teaching plan

7/23/2019 AP BC Teaching Plan

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AP BC Calculus (4 hours per week)

The Main Books Source:

Finney, Ross L., Franklin Demana, Bert Waits, and Daniel Kennedy. Calculus: Graphical,

Numerical, Algebraic. AP Edition. Fourth Edition. Pearson.2012

Supplemental Books Source:

S.P. Thompson Calculus Made Easy. Second Edition Enlarged. The Macmillan

Company, New York, 1943 (online version)

P. Dawkins. Calculus I. Complete Practice Problems (online version)

Course Revision:

Shirley O. Hockett, M.A. and David Bock, M.S. Barron’s AP Calculus 2008



Week Chapter Contents Critical Thinking

Questions

1

2

3

L1-2 Chapter8.

Sections 8.1-8.2.

Application ofDefinite Integrals

pp.383-402

L3-4 Chapter 8

Sections 8.3-8.4

Application of

Definite Integrals

pp.403-422

L5 Chapter 8

Section 8.5

Application of

Definite Integrals

pp.423-433

L6-7 Chapter 9

Sections 9.1-9.2

Sequences,

L’Hopital Rule and

Improper Integral

pp.439-456

L8 Chapter 9

Sections 9.3

Sequences,

L’Hopital Rule andImproper Integral

pp.457-462

L9 Chapter 9

Sections 9.4

Sequences,

L’Hopital Rule and

Improper Integral

pp.463-472

Integral as Net Change. Linear motion

revisited. Consumption over time. Net

change from data. Work. Areas in the Plane. Area between curves

Area enclosed by interesting curves.

Boundaries with changing function.

Integrating with respect to . Saving

time with geometry formulas.

Volumes. Volume as an integral. Square

cross section. Circular cross section.

Cylindrical shells. Other cross sections

Lengths of Curves. A sine wave. Length

of smooth curve. Vertical tangents,corners and cusps.

Applications from Science and

Statistics. Work revisited. Fluid force

and fluid pressure. Normal probabilities

Sequences. Defining a sequence.

Arithmetic and geometric sequences

Graphing a sequence. Limit a sequence

L’Hopital Rule. Indeterminate form 0/0.

Indeterminate forms / and

. Intermediate forms

Related rates of grows. Comparing rate

of grows. Using L’Hopital rule to

compare grows rates. Sequential versus

binary search

Improper Integrals. Infinite limits of

integration. Integrands with infinite

discontinuities.

pp.389-393 #11;

17-20; 27

pp.399-402 #9;

10; 13; 14;

36-38; 43

pp.410-415 #2;

7-10; 26-28; 43;

48; 49

pp.419-422

#11-15; 22-24

pp.429-433 #12;

17; 23; 24; 31;

32

pp.445-447 #19;

21; 31-40

pp.454-456 #27;

33-52 (even)

pp.461-462

#15-20; 35-38;

40; 45

pp.471-473

#35-42; 55



4.

5

L10-11 Chapter 10

Sections 10.1-10.2

Infinite Series

pp.477-498

L12-13 Chapter 10

Section 10.3-10.4

Infinite Series

pp.499-516

L14-15 Chapter 10

Section 10.5

Infinite Series

pp.517-530

L16 Chapter 11

Section 11.1

Parametric

functions

pp.537-543

L17-18 Chapter 11

Sections 11.2-11.3

Parametric

functions

pp.544-566

Power Series. Geometric series

Representing functions by series.

Differentiation and integration.

Identifying a series

Taylor Series. Constructing a series.Series for and . Beauty

bare. Maclain and Taylor series.

Combining Taylor series. Table of

Maclain series.

T aylor’s Theorem Taylor polynomials.

The remainder. Bounding the

remainder. Euler’s formula

Radius of Convergence Convergence.

term test. Comparing nonnegative

series. Ratio test. Endpointconvergence.

Testing Convergence at Endpoint.

Integral test. Harmonic series and

-series. Comparison tests. Alternating

series. Absolute and conditional

convergence. Intervals of convergence.

A world of caution.

Parametric functions. Parametric

curves in the plane. Slope and

concavity. Arc length. Cycloids

Vectors in the plane. Two-dimensional

vectors. Vector operations. Modeling

planar motion.. Velocity, acceleration

and speed. Displacement and distance

traveled.Polar Functions. Polar coordinates.

Polar curves. Slopes of polar curves.

Areas enclosed by polar curves. A small

polar gallery.

pp.485-487 #2;

21-24; 48; 51

pp.496-498

#5-12 even;

18-21; 35

pp.504-506

#11-13; 27-29;

35; 39

pp.515-516

#18-22; 36-42;

52-54

pp.528-530

#18-22; 46-50;

59; 62

pp.541-543#13-16; 30-33;

36; 37; 43

pp.552-554 #25;

26; 33; 38; 51

pp.564-566

#26-30; 35-38;

42; 50; 52; 60

ap bc teaching plan

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