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Single Variable Calculus 18.01 MIT

Online Free Online Course by  World Mentoring Academy
Online / Free Online Course

Details

This introductory calculus course covers differentiation and integration of functions of one variable, with applications.

Resources: OpenCourseware from MIT, UC Berkeley, Stanford along with many of the World's finest University's.

Language: English

Professors: Joshua Coleman, Michael Williams

Units: 35

Lesson content
  • Lecture 01: Derivatives, slope, velocity, rate of ...  
  • Lec 2 Limits, continuity, trigonometic limits  
  • Lec 3 Derivatives of products, quotients, sine, cosine  
  • Lec 4 Chain rule, Higher derivatives  
  • Lec 5 Implicit differentiation, inverses  
  • Lec 6 Exponential and log, Logarithmic differentiation; hyperbolic functions  
  • Lec 7 Hyperbolic functions (cont.) and exam 1 review  
  • Lec 9 Linear and quadratic approximations  
  • Lec 10 Approximations (cont.); curve sketching  
  • Lec 11 Max-min problems  
  • Lec 12 Related rates  
  • Lec 13 Newton's method and other applications  
  • Lec 14 Mean value theorem; Inequalities  
  • Lec 15 Differentials, antiderivatives  
  • Lec 16 Differential equations, separation of variables  
  • Lec 18 Definite integrals  
  • Lec 19 First fundamental theorem of calculus  
  • Lec 20 Second fundamental theorem  
  • Lec 21 Applications to logarithms and geometry  
  • Lec 22 Volumes by disks and shells  
  • Lec 23 Work, average value, probability  
  • Lec 24 Numerical integration  
  • Lec 25 Exam 3 review  
  • Lec 27 Trigonometric integrals and substitution  
  • Lec 28 Integration by inverse substitution; completing the square  
  • Lec 29 Partial fractions  
  • Lec 30 Integration by parts, reduction formulae  
  • Lec 31 Parametric equations, arclength, surface area  
  • Lec 32 Polar coordinates; area in polar coordinates  
  • Lec 33 Exam 4 review  
  • Lec 35 Indeterminate forms - L'Hospital's rule  
  • Lec 36 Improper integrals  
  • Lec 37 Infinite series and convergence tests  
  • Lec 38 Taylor's series  
  • Lec 39 Final review  
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World Mentoring Academy is offering FREE Open Courseware. Setup a free user account & select courses with video lectures, Syllabus, Free textbooks when avail., assignments/homework, testing from MIT, Harvard, UC Berkeley, Stanford, U of Mich, Yale along with many of the World's finest University's (700+courses/24-48+ Lectures)
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