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  1. 1Limits
    1. 1.1Introduction to Calculus - Limits
    2. 1.2Finding limits from graphs
    3. 1.3Limit laws
    4. 1.4Continuity
    5. 1.5Finding limits algebraically - direct substitution
    6. 1.6Finding limits algebraically - when direct substitution is not possible
    7. 1.7Infinite limits - vertical asymptotes
    8. 1.8Limits at infinity - horizontal asymptotes
    9. 1.9Intermediate value theorem
  2. 2Derivatives
    1. 2.1Definition of derivative
    2. 2.2Estimating derivatives from a table
    3. 2.3Power rule
    4. 2.4Slope and equation of tangent line
    5. 2.5Chain rule
    6. 2.6Derivative of trigonometric functions
    7. 2.7Derivative of exponential functions
    8. 2.8Product rule
    9. 2.9Quotient rule
    10. 2.10Implicit differentiation
    11. 2.11Derivative of inverse trigonometric functions
    12. 2.12Derivative of logarithmic functions
    13. 2.13Higher order derivatives
  3. 3Applications of the Derivative
    1. 3.1Position velocity acceleration
    2. 3.2Critical number & maximum and minimum values
    3. 3.3l'Hospital's rule
    4. 3.4Curve sketching
    5. 3.5Related rates
    6. 3.6Mean value theorem
    7. 3.7Linear approximation
  4. 4Integrals
    1. 4.1Antiderivatives
    2. 4.2Riemann sum
    3. 4.3Definite integral
    4. 4.4Fundamental theorem of calculus
  5. 5Integration Techniques
    1. 5.1U-Substitution
    2. 5.2Integration using trigonometric identities
    3. 5.3Trigonometric substitution
  6. 6Integration Applications
    1. 6.1Areas between curves
    2. 6.2Average value of a function
    3. 6.3Arc length
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