AP Examinations - Calculus AB and Calculus BC
DIAGNOSTIC TESTS
CHAPTER 1 Functions
C. POLYNOMIAL AND OTHER RATIONAL FUNCTIONS
E. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
F. PARAMETRICALLY DEFINED FUNCTIONS
CHAPTER 2 Limits and Continuity
D. LIMIT OF A QUOTIENT OF POLYNOMIALS
CHAPTER 3 Differentiation
C. THE CHAIN RULE; THE DERIVATIVE OF A COMPOSITE FUNCTION
D. DIFFERENTIABILITY AND CONTINUITY
F. DERIVATIVES OF PARAMETRICALLY DEFINED FUNCTIONS
H. DERIVATIVE OF THE INVERSE OF A FUNCTION
J. INDETERMINATE FORMS AND L’HÔPITAL’S RULE
K. RECOGNIZING A GIVEN LIMIT AS A DERIVATIVE
CHAPTER 4 Applications of Differential Calculus
C. INCREASING AND DECREASING FUNCTIONS
D. MAXIMUM, MINIMUM, AND INFLECTION POINTS: DEFINITIONS
E. MAXIMUM, MINIMUM, AND INFLECTION POINTS: CURVE SKETCHING
H. OPTIMIZATION: PROBLEMS INVOLVING MAXIMA AND MINIMA
I. RELATING A FUNCTION AND ITS DERIVATIVES GRAPHICALLY
K. MOTION ALONG A CURVE: VELOCITY AND ACCELERATION VECTORS
L. TANGENT-LINE APPROXIMATIONS
CHAPTER 5 Antidifferentiation
C. INTEGRATION BY PARTIAL FRACTIONS
E. APPLICATIONS OF ANTIDERIVATIVES; DIFFERENTIAL EQUATIONS
CHAPTER 6 Definite Integrals
A. FUNDAMENTAL THEOREM OF CALCULUS (FTC); DEFINITION OF DEFINITE INTEGRAL
B. PROPERTIES OF DEFINITE INTEGRALS
C. INTEGRALS INVOLVING PARAMETRICALLY DEFINED FUNCTIONS
D. DEFINITION OF DEFINITE INTEGRAL AS THE LIMIT OF A SUM: THE FUNDAMENTAL THEOREM AGAIN
E. APPROXIMATIONS OF THE DEFINITE INTEGRAL; RIEMANN SUMS
F. INTERPRETING ln x AS AN AREA
CHAPTER 7 Applications of Integration to Geometry
CHAPTER 8 Further Applications of Integration
A. MOTION ALONG A STRAIGHT LINE
C. OTHER APPLICATIONS OF RIEMANN SUMS
D. FTC: DEFINITE INTEGRAL OF A RATE IS NET CHANGE
CHAPTER 9 Differential Equations
D. SOLVING FIRST-ORDER DIFFERENTIAL EQUATIONS ANALYTICALLY
E. EXPONENTIAL GROWTH AND DECAY
CHAPTER 10 Sequences and Series
CHAPTER 11 Miscellaneous Multiple-Choice Practice Questions
CHAPTER 12 Miscellaneous Free-Response Practice Exercises
AB PRACTICE EXAMINATIONS
BC PRACTICE EXAMINATIONS