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MORE CALCULUS AT MIT

If you have gained competence in single variable calculus, and want to learn more, then you might try studying “Multivariable Calculus” from MIT. This course is taught by Professor Denis Auroux. The main focus here is on vector calculus and working with multiple variables. As is usual, you have access to transcripts, lecture notes, exams, and assignments in addition to the lecture videos.

This course includes the following topics: dot products, determinants, matrices, parametric equations, Kepler's Second Law, partial derivatives, least squares, second derivative test, chain rule, Lagrange Multipliers, partial differential equations, polar coordinates, change of variables, vector fields, path independence, flux, spherical coordinates, divergence theorem, line integrals, Stokes' Theorem, and Maxwell's Equations.

Multivariable Calculus (MIT)

CALCULUS AT MIT

This free course is called “Single Variable Calculus” and is taught by Professor David Jerison. It introduces students to differentiation of a single variable and integration. In addition to lecture videos there are transcripts, lecture notes, exams, and assignments available.

This course includes the following topics: rate of change, slope, limits, derivatives, chain rule, implicit differentiation, exponents, logarithms, hyperbolic functions, approximations, maxima, minima, Newton's Method, Mean Value Theorem, differential equations, definite integrals, fundamental theorems, work, probability, substitution, polar coordinates, infinite series, and Taylor series.

Single Variable Calculus (MIT)

FREE HIGH SCHOOL MATH & SCIENCE TEXTBOOKS

Here are some more free textbooks. The Free High School Science Texts (FHSST) are a collaborative project mainly intended to improve education in South Africa, however, the project is open to anyone in the world who has an internet connection. There are three math textbooks and three science textbooks designated for grades 10, 11, and 12.

The math textbooks include the following topics: types of numbers, exponents, financial applications, algebra, functions, graphing, geometry, trigonometry, statistics, probability, logarithms, series, and differential calculus.

The science textbooks include the following topics: SI units, rounding, scientific notation, significant figures, chemistry, organic chemistry, atoms, chemical reactions, chemical equations, natural cycles, physics, Newtonian dynamics and laws of motion, energy, waves, optics, electricity, magnetism, forces, and radiation.

Free High School Math & Science Texts