★ 2011년 5월 AP Calculus 시험의 변화
★ AP Calculus AB&BC Course Audit - Authorization
Worksheets
- AB & BC -
01 Finding Limits Graphically and Numerically
02 Limits that Fails to Exist
03 Definition of Limit Using Epsilon and Delta
04 Evaluating Limits Analytically
05 The Squeeze Theorem
06 Continuity
07 The Intermediate Value Theorem
08 The Derivative and the Tangent Line
09 Differentiability and Continuity
10 Differentiation Rules
11 Rate of Change (Average Velocity and Instantaneous Velocity)
12 Product and Quotient Rules
13 The Chain Rule
14 Implicit Differentiation
15 Related Rates
16 Extrema on an Interval
17 Rolle's & the Mean Value Theorem
18 Increasing & Decreasing and the First Derivative Test
19 Concavity and the Second Derivative Test
20 Optimization
21 Newton's Method
22 Differentials
23 Area (Sigma Notation) and Riemmann Sums
24 Riemmann Sums, Antiderivatives, and Indefinite Integrals
25 Definite Integrals
26 The Fundamental Theorem of Calculus
27 Integration by Substitution
28 The Trapezoidal Rule & Simpson’s Rule
29 The Natural Log Function and Differentiation
30 The Natural Log Function and Integration
31 Inverse Functions
32 Exponential Functions
33 Bases Other Than e and Applications
34 Inverse Trig Functions, Differentiations, & Integrations
35 Slope Fields and Euler's Method
36 Differential Equations, Growth and Decay
37 Area of a Region between Two Curves
38 Volume: The Disk Method and the Washer Method
39 Solids with Cross Sections
40 Volume: The Shell Method
41 Arc Length
42 Surface Area of a Revolution
43 Review of Integration Rules
44 Integration by Parts
45 Trigonometric Integrals
46 Trig Substitution
- BC -
47 Partial Fractions
48 Lhopital's Rule
49 Improper Integrals
50 Sequences
51 Series and Convergence
52 The Integral Test and P-Series
53 Comparisons of Series
54 Alternating Series
55 The Ratio Test
56 The Root Test
57 Taylor Polynomials and Approximations
58 Power Series
59 Representation of Functions by Power Series
60 Taylor and Maclaurin Series
61 Plane Curves and Parametric Equations
62 Parametric Equations and Calculus
63 Vector
64 Motion
65 Polar Coordinates
66 Slope in Polar Form
67 Area and Arc Length in Polar Coordinates
★ AP를 공부하며 잊지 말아야 할 점
Answers & Explanations
- AB & BC -
01 Finding Limits Graphically and Numerically
02 Limits that Fails to Exist
03 Definition of Limit Using Epsilon and Delta
04 Evaluating Limits Analytically
05 The Squeeze Theorem
06 Continuity
07 The Intermediate Value Theorem
08 The Derivative and the Tangent Line
09 Differentiability and Continuity
10 Differentiation Rules
11 Rate of Change (Average Velocity and Instantaneous Velocity)
12 Product and Quotient Rules
13 The Chain Rule
14 Implicit Differentiation
15 Related Rates
16 Extrema on an Interval
17 Rolle's & the Mean Value Theorem
18 Increasing & Decreasing and the First Derivative Test
19 Concavity and the Second Derivative Test
20 Optimization
21 Newton's Method
22 Differentials
23 Area (Sigma Notation) and Riemmann Sums
24 Riemmann Sums, Antiderivatives, and Indefinite Integrals
25 Definite Integrals
26 The Fundamental Theorem of Calculus
27 Integration by Substitution
28 The Trapezoidal Rule & Simpson’s Rule
29 The Natural Log Function and Differentiation
30 The Natural Log Function and Integration
31 Inverse Functions
32 Exponential Functions
33 Bases Other Than e and Applications
34 Inverse Trig Functions, Differentiations, & Integrations
35 Slope Fields and Euler's Method
36 Differential Equations, Growth and Decay
37 Area of a Region between Two Curves
38 Volume: The Disk Method and the Washer Method
39 Solids with Cross Sections
40 Volume: The Shell Method
41 Arc Length
42 Surface Area of a Revolution
43 Review of Integration Rules
44 Integration by Parts
45 Trigonometric Integrals
46 Trig Substitution
- BC -
47 Partial Fractions
48 Lhopital's Rule
49 Improper Integrals
50 Sequences
51 Series and Convergence
52 The Integral Test and P-Series
53 Comparisons of Series
54 Alternating Series
55 The Ratio Test
56 The Root Test
57 Taylor Polynomials and Approximations
58 Power Series
59 Representation of Functions by Power Series
60 Taylor and Maclaurin Series
61 Plane Curves and Parametric Equations
62 Parametric Equations and Calculus
63 Vector
64 Motion
65 Polar Coordinates
66 Slope in Polar Form
67 Area and Arc Length in Polar Coordinates
