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  1. 1Limits and Continuity
    1. 1.1Introduction to Calculus - Limits
    2. 1.2Finding limits from graphs
    3. 1.3Limit Laws
    4. 1.4Finding limits algebraically - direct substitution
    5. 1.5Finding limits algebraically - when direct substitution is not possible
    6. 1.6Squeeze Theorem
    7. 1.7l'Hospital's Rule
    8. 1.8Infinite limits - vertical asymptotes
    9. 1.9Limits at infinity - horizontal asymptotes
    10. 1.10Continuity
    11. 1.11Intermediate value theorem
  2. 2Derivatives
    1. 2.1Definition of derivative
    2. 2.2Estimating derivatives from a table
    3. 2.3Power rule
    4. 2.4Chain rule
    5. 2.5Derivative of trigonometric functions
    6. 2.6Derivative of exponential functions
    7. 2.7Derivative of logarithmic functions
    8. 2.8Product rule
    9. 2.9Quotient rule
    10. 2.10Derivative of inverse trigonometric functions
    11. 2.11Implicit differentiation
    12. 2.12Higher order derivatives
  3. 3Derivative Applications
    1. 3.1Slope and equation of tangent line
    2. 3.2Critical number & maximum and minimum values
    3. 3.3Curve sketching
    4. 3.4Rolle's theorem
    5. 3.5Mean value theorem
    6. 3.6Rectilinear motion: derivative
    7. 3.7Related rates
    8. 3.8Optimization
    9. 3.9Linear approximation
    10. 3.10Quadratic approximation
  4. 4Business Derivative Application
    1. 4.1Demand, revenue, cost & profit
    2. 4.2Marginal revenue, and maximizing revenue & average revenue
    3. 4.3Marginal cost, and minimizing cost & average cost
    4. 4.4Marginal profit, and maximizing profit & average profit
    5. 4.5Elasticity of demand
    6. 4.6Continuous compound interest
  5. 5Integrals
    1. 5.1Antiderivatives
    2. 5.2Riemann sum
    3. 5.3Definite integral
    4. 5.4Fundamental theorem of calculus
  6. 6Integration Techniques
    1. 6.1U-Substitution
    2. 6.2Integration using trigonometric identities
    3. 6.3Trigonometric substitution
    4. 6.4Integration by parts
    5. 6.5Integration of rational functions by partial fractions
    6. 6.6Numerical Integration
  7. 7Integral Applications
    1. 7.1Average value of a function
    2. 7.2Area between curves
    3. 7.3Volume of solids with know cross-sections
    4. 7.4Volume of solids of revolution - Disc method
    5. 7.5Volume of solids of revolution - Shell method
  8. 8Business Integral Application
    1. 8.1Consumer and producer surplus
    2. 8.2Continuous money flow
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