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)