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Lectures

  • Monday, July 16: Lecture 1
    • Introduction. Overview.
    • Four ways of representing a function.
  • Tuesday, July 17: Lecture 2
    • Library of functions. Composition.
    • Shifting, stretching, reflections. Tangents and velocity.
  • Wednesday, July 18: Lecture 3
    • Limits. Intuitive numerical and graphical approaches.
    • Side limits.
  • Thursday, July 19: Lecture 4
    • Limit Laws.
    • Continuity at a point.
  • Monday, July 23: Lecture 5
    • Continuous functions.
    • Review. Tangents and velocity.
  • Tuesday, July 24: Lecture 6
    • Derivative at a point.
    • Derivative as a function.
  • Wednesday, July 25: Lecture 7
    • Differentiation formulas. Product rule.
    • Quotient rule.
  • Monday, July 30: Lecture 8
    • Derivatives of trigonometric functions.
    • Chain rule.
  • Tuesday, July 31: Lecture 9
    • Implicit differentiation.
    • Higher order derivatives.
  • Wednesday, August 1: Lecture 10
    • Related rates.
    • Linear approximations.
  • Thursday, August 2: Lecture 11
    • Maximum and minimum of a function.
    • The Mean Value Theorem.
  • Monday, August 6: Lecture 12
    • Limits at infinity.
    • Curve sketching using calculus.
  • Tuesday, August 7: Lecture 13
    • Optimization problems.
    • Newton's method.
  • Wednesday, August 8: Exam #1
  • Thursday, August 9: Lecture 14
    • Areas and distance.
    • Definite integrals.
  • Monday, August 13: Lecture 15
    • The Fundamental Theorem of Calculus.
    • Net change. Antiderivatives.
  • Tuesday, August 14: Lecture 16
    • Substitution rule.
    • Review.
  • Wednesday, August 15: Lecture 17
    • Areas between curves.
    • Volumes by slices.
  • Thursday, August 16: Lecture 18
    • Solids of revolution.
    • Work. Average.
  • Monday, August 20: Lecture 19
    • Derivatives of inverse functions.
    • Derivatives of inverse trigonometric functions.
  • Tuesday, August 21: Lecture 20
    • Calculus of exponential functions.
    • Derivatives of logarithmic functions.
  • Wednesday, August 22:
    • Review.
  • Thursday, August 23: Exam #2
Last modified:
October 30, 2007
Copyright ©2007 Catalin Zara

 

Copyright 2008, by the Contributing Authors. Cite/attribute Resource. Zara, C. (2007, October 30). Lectures. Retrieved July 03, 2008, from University of Massachusetts Boston Web site: http://ocw.umb.edu/mathematics/math-140-calculus-i/m140-ocw/lectures.html. This work is licensed under a Creative Commons License. Creative Commons License