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Last updated:

September 21, 2023

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This course includes:

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Description

18.01 Single Variable Calculus (Fall 2006, MIT OCW). This consists of 39 video lectures given by Professor David Jerison, on single-variable calculus.

This is an introductory calculus course covering differentiation and integration of functions of one variable, with applications: differentiation, application of differentiation, definite integral and its applications, techniques of integration, and a brief discussion of infinite series. (from ocw.mit.edu)

Course Curriculum

  • Lecture 01 – Derivatives, Slope, Velocity, Rate of Change Unlimited
  • Lecture 02 – Limits, Continuity Unlimited
  • Lecture 03 – Derivatives Unlimited
  • Lecture 04 – Chain Rule Unlimited
  • Lecture 05 – Implicit Differentiation Unlimited
  • Lecture 06 – Exponential and Log Unlimited
  • Lecture 07 – Hyperbolic Functions Unlimited
  • Lecture 09 – Linear and Quadratic Approximations Unlimited
  • Lecture 10 – Curve Sketching Unlimited
  • Lecture 11 – Max-min Problems Unlimited
  • Lecture 12 – Related Rates Unlimited
  • Lecture 13 – Newton’s Method and Other Applications Unlimited
  • Lecture 14 – Mean Value Theorem Unlimited
  • Lecture 15 – Differentials, Antiderivatives Unlimited
  • Lecture 16 – Differential Equations Unlimited
  • Lecture 18 – Definite Integrals Unlimited
  • Lecture 19 – First Fundamental Theorem Unlimited
  • Lecture 20 – Second Fundamental Theorem Unlimited
  • Lecture 21 – Applications to Logarithms and Geometry Unlimited
  • Lecture 22 – Volumes by Disks and Shells Unlimited
  • Lecture 23 – Work, Average Value, Probability Unlimited
  • Lecture 24 – Numerical Integration Unlimited
  • Lecture 25 – Exam 3 Review Unlimited
  • Lecture 27 – Trigonometric Integrals and Substitution Unlimited
  • Lecture 28 – Integration by Inverse Substitution; Completing the Square Unlimited
  • Lecture 29 – Partial Fractions Unlimited
  • Lecture 30 – Integration by Parts Unlimited
  • Lecture 31 – Parametric Equations Unlimited
  • Lecture 32 – Polar Coordinates Unlimited
  • Lecture 33 – Exam 4 Review Unlimited
  • Lecture 35 – Indeterminate Forms Unlimited
  • Lecture 36 – Improper Integrals Unlimited
  • Lecture 37 – Infinite Series Unlimited
  • Lecture 38 – Taylor’s Series Unlimited
  • Lecture 39 – Final Review Unlimited

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