AP calculus AB and BC concise summary notes AP PhysicsAP CalculusAP ChemistryAP Biology Practice AP Calculus AB-Questions and Answers - All Topics Practice AP Calculus BC-Questions and Answers - All Topics Chapter 1: Limits and Continuity1.1 Rates of Change1.2 The Limit of a Function and One Sided Limits 1.3 Calculating Limits Using the Limit Laws1.4 Properties of Continuity and Intermediate Value Theorem1.5 Limits and Asymptotes Chapter 2: Differentiation 2.1 Definition of Derivatives and the Power Rule 2.2 The Product and Quotient Rules and Higher Derivatives 2.3 The Chain Rule and the Composite Functions 2.4 Derivatives of Trigonometric Functions2.5 Derivatives of Exponential and Logarithmic Functions 2.6 The Tangent Lines and the Normal Lines2.7 Implicit Differentiation2.8 Derivatives of an Inverse Function2.9 Derivatives of Inverse Trigonometric Functions2.10 Approximating a Derivative Chapter 3: Applications of Differentiation 3.1 Related Rates3.2 Position, Velocity, and Acceleration 3.3 The Roll’s Theorem and The Mean Value Theorem 3.4 The First Derivative Test and the Extreme Values of Functions3.5 The Second Derivative Test3.6 Curves of f , f ′, f ′′ and Curve Sketching 3.7 Optimization Problems 3.8 Tangent Line Approximation and Differentials Chapter 4: Integration 4.1 Antiderivatives and Indefinite Integrals 4.2 Riemann Sum and Area Approximation 4.3 Definite Integral, Area Under a Curve, and Application4.4 Properties of Definite Integral4.5 Trapezoidal Rule4.6 The Fundamental Theorem of Calculus Part 14.7 The Fundamental Theorem of Calculus Part 24.8 Integration by Substitution4.9 Integration of Exponential and Logarithmic Function Chapter 5: Applications of Integration5.1 Area of a Region between Two Curves 5.2 Volumes by Disk and Washers5.3 Volumes of Solids with Known Cross Sections 5.4 The Total Change Theorem (Application of FTC)5.5 Motion of a Particle, Distance, and Displacement 5.6 Average Value of a Function 5.7 Length of a Curve (Distance Traveled Along a Curve) $\boxed{\text{BC}}$ Chapter 6:Techniques of Integration6.1 Basic Integration Rules 6.2 Trigonometric Integral6.3 Trigonometric Substitutions 6.4 L’Hospital’s Rule6.5 Integration by Partial Fractions $\boxed{\text{BC}}$ 6.6 Integration by Parts $\boxed{\text{BC}}$6.7 Improper Integrals $\boxed{\text{BC}}$ Chapter 7: Further Applications of Integration 7.1 Slope Field 7.2 Separable Differential Equations 7.3 Exponential Growth and Decay7.4 Logistic Equations $\boxed{\text{BC}}$7.5 Euler’s Method $\boxed{\text{BC}}$ Chapter 8:Parametric Equations, Vectors, and Polar Coordinates $\boxed{\text{BC}}$8.1 Slopes and Tangents to the Parametric Curves 8.2 Arc Length (Distance Traveled Along a Curve) in Parametric Form 8.3 Vector Valued Functions8.4 Polar Coordinates and Slopes of Curves8.5 Areas in Polar Coordinates Chapter 9: Infinite Sequences and Series $\boxed{\text{BC}}$9.1 Sequences and Series9.2 The Integral Test and p–Series 9.3 The Comparison Test 9.4 Alternating Series and Error Bound9.5 The Ratio Test9.6 Convergence of Power Series9.7 Representations of Functions as Power Series 9.8 Taylor Polynomial and Lagrange Error Bound 9.9 Taylor Series and Maclaurin Series Course Content