Hunter College Calculus 2 → Khan Academy Mapping
Chapter 5: Transcendental Functions
●​ 5.1 Inverse Functions → AP Calculus BC: Unit 3 (Differentiation: Composite, implicit,
and inverse functions) - Differentiating inverse functions
●​ 5.2 The Natural Logarithm Function → AP Calculus BC: Unit 2 (Differentiation: Definition
and basic derivative rules) - Derivatives of ln(x)
●​ 5.3 The Natural Exponential Function → AP Calculus BC: Unit 2 (Differentiation:
Definition and basic derivative rules) - Derivatives of e^x
●​ 5.5 Exponential Growth and Decay → Calculus 2: Unit 3 (Differential equations) Exponential models
●​ 5.6 Inverse Trigonometric Functions → AP Calculus BC: Unit 3 (Differentiation:
Composite, implicit, and inverse functions) - Differentiating inverse trigonometric
functions
●​ 5.8 Indeterminate Forms and L’Hospital’s Rule → AP Calculus BC: Unit 4 (Contextual
applications of differentiation) - Using L’Hôpital’s rule for finding limits
Chapter 6: Techniques of Integration
●​ 6.1 Integration by Parts → Calculus 2: Unit 2 (Integration techniques) - Integration by
parts
●​ 6.2 Trigonometric Integrals and Substitutions → Calculus 2: Unit 2 (Integration
techniques) - Integrating using trigonometric identities; Trigonometric substitution
●​ 6.3 Partial Fractions → Calculus 2: Unit 2 (Integration techniques) - Integrating using
linear partial fractions
●​ 6.5 Approximate Integrals (Simpson’s Rule) → Not in Khan Academy (use external
resource)
●​ 6.6 Improper Integrals → Calculus 2: Unit 2 (Integration techniques) - Improper integrals
Chapter 7: Applications of Integration
●​ 7.4 Arc Length → Calculus 2: Unit 4 (Applications of integrals) - Arc length
●​ 7.5 Area of a Surface of Revolution → Calculus 2: Unit 4 (Applications of integrals) Volume: disc method, washer method (for surface area and revolution)
●​ 7.6 Applications to Physics (Hooke’s Law) → Calculus 2: Unit 4 (Applications of
integrals) - Non-motion applications of integrals
Chapter 8: Sequences and Series
●​ 8.1 Sequences → Calculus 2: Unit 6 (Series) - Convergent and divergent infinite series
●​ 8.2 Series → Calculus 2: Unit 6 (Series) - Infinite geometric series; nth-term test
●​ 8.3 The Integral and Comparison Tests → Calculus 2: Unit 6 (Series) - Integral test;
Comparison tests
●​ 8.4 Other Convergence Tests → Calculus 2: Unit 6 (Series) - Ratio test; Alternating
series test; Absolute and conditional convergence
●​ 8.5 Power Series → Calculus 2: Unit 6 (Series) - Power series intro
●​ 8.6 Representing Functions as Power Series → Calculus 2: Unit 6 (Series)
●​ 8.7 Taylor and Maclaurin Series → Calculus 2: Unit 6 (Series)
●​ 8.8 Applications of Taylor Polynomials → Calculus 2: Unit 6 (Series) - Lagrange error
bound; Applications of Taylor polynomials
Chapter 9: Parametric and Polar
●​ 9.1 Parametric Curves → Calculus 2: Unit 5 (Parametric equations, polar coordinates,
and vector-valued functions) - Parametric equations intro
●​ 9.2 Calculus with Parametric Curves → Calculus 2: Unit 5 (Parametric equations, polar
coordinates, and vector-valued functions) - Derivatives of parametric equations; Arc
length: parametric curves
●​ 9.3 Polar Coordinates → Calculus 2: Unit 5 (Parametric equations, polar coordinates,
and vector-valued functions) - Polar functions; Area in polar coordinates; Arc length in
polar coordinates
Key Notes:
●​ Use Calculus 2 for Chapters 6, 7, 8, 9, and 5.5.
●​ Use AP Calculus BC for Chapter 5 (except 5.5) and L’Hospital’s Rule.
●​ Only Simpson’s Rule (6.5) is missing on Khan Academy.