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2019/2020 - Topics for the Calculus I Final Exam

posted Jan 1, 2020, 6:26 AM by Matthew Grenfell   [ updated Jan 1, 2020, 10:57 AM ]
  • Calculating limits algebraically, using limit laws, and using graphs
  • Continuity
  • Limit definition of the derivative
  • Graphs of functions vs. their derivatives
  • Equations of tangent lines
  • Product/Quotient/Chain Rules
  • Trig function derivatives
  • Implicit differentiation
  • Absolute max/min values
  • The Mean Value Theorem
  • Inflection points
  • L'Hospital's Rule
  • Antiderivatives
  • Relationship of position/velocity/acceleration
  • Integrals as area
  • Fund Thm of Calculus, evaluating definite integrals
  • u-substitution
  • Area between curves
  • Volumes using disks
  • Horizontal and vertical asymptotes
  • Other limits at infinity
  • Types of discontinuities
  • Logarithmic differentiation
  • Related Rates
  • Optimization
  • Graphing functions using their derivatives
  • Riemann sums
  • Interpreting values of definite integrals and/or Net Change Thm
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