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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

UConn Course Syllabi

posted Sep 5, 2019, 12:55 PM by Matthew Grenfell

Although only one of these are applicable for the fall semester, I am posting the syllabi for both UConn courses for this year. They can be found in the "Forms and Docs" section of this site, or by clicking the links below:

    Calculus I


posted Sep 3, 2017, 5:44 PM by Matthew Grenfell   [ updated May 14, 2019, 4:24 AM ]

Most of our homework will be done using the WeBWork server; click the following link to get started: http://webwork.grenfellmusic.net

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