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Last updated:
September 21, 2023
Duration:
Unlimited Duration
FREE
This course includes:
Unlimited Duration
Badge on Completion
Certificate of completion
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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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