MAT 131: Calculus I

Class videos.


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  • Lecture 01: General Information about Functions  (Playclass notes)
  • Lecture 02: Operations on Functions  (Playclass notes, class homework)
  • Lecture 03: Elementary Functions. Part 1  (Playclass notes)
  • Lecture 04: Elementary Functions. Part 2  (Playclass notes)
  • Lecture 05: Elementary Functions. Part 3  (Playclass notes, class homework)
  • Lecture 06: Limit and Continuity  (Playclass notes)
  • Lecture 07: Calculation of Limits  (Playclass notes, class homework)
  • Lecture 08: Infinite Limits  (Playclass notes)
  • Lecture 09: Limits at Infinity  (Playclass notes, class homework)
  • Lecture 10: The Derivative. Part 1  (Playclass notes)
  • Lecture 11: The Derivative. Part 2  (Playclass notes, class homework)
  • Lecture 12: Differentiation Rules. Part 1  (Playclass notes)
  • Lecture 13: Differentiation Rules. Part 2  (Playclass notes, class homework)
  • Lecture 14: Derivatives of Trigonometric Functions  (Playclass notes)
  • Lecture 15: Derivatives of Inverse Functions  (Playclass notes, class homework)
  • Lecture 16: Linearization  (Playclass notes)
  • Lecture 17: Maxima and Minima  (Playclass notes)
  • Lecture 18: Mean Value Theorem  (Playclass notes, class homework)
  • Lecture 19: First Derivative Test  (Playclass notes)
  • Lecture 20: The Second Derivative Test  (Playclass notes, class homework)
  • Lecture 21: Implicit Differentiation  (Playclass notes)
  • Lecture 22: Indeterminate Forms and L’Hôpital’s rule  (Playclass notes, class homework)
  • Lecture 23: Related Rates  (Playclass notes, class homework)
  • Lecture 24: Optimization Problems  (Playclass notes, class homework)
  • Lecture 25: Antiderivative and Indefinite Integral  (Playclass notes)
  • Lecture 26: Elementary Integration  (Playclass notes, class homework)
  • Lecture 27: Areas of Plane Figures  (Playclass notes)
  • Lecture 28: The Definite Integral  (Playclass notes, class homework)
  • Lecture 29: Riemann Sums. Part 1  (Playclass notes)
  • Lecture 30: Riemann Sums. Part 2  (Playclass notes, class homework)
  • Lecture 31: The Fundamental Theorem of Calculus  (Playclass notes)
  • Lecture 32: Applications of The Fundamental Theorem  (Playclass notes, class homework)
  • Lecture 33: Integration by Substitution  (Playclass notes, class homework)