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Author:Harvey Mudd College Department of Mathematics
Description: Primers for pre-calculus, single variable calculus, multi-variable calculus, linear algebra, and differential equations, each with proofs, examples, and key concepts highlighted, some with Mathematica plots to view in a new browser window: algebra review, binomial theorem, complex numbers, computing limits, functions and transformations of functions, review of trigonometry, logarithms, exponents, antiderivatives, arc length, chain rule, computing integrals by completing the square, computing integrals by substitution, continuity, differentiating special functions, first derivative, Fundamental Theorem of Calculus, infinite series convergence, integration by parts, L'Hopital's Rule, limit definition of the derivative, Mean Value Theorem (MVT), partial fractions, product rule, quotient rule, Riemann sums, second derivative, special trigonometric integrals, tangent line approximation, Taylor's Theorem, trigonometric substitution, volume, elementary vector analysis, lines, planes, and vectors, multiple integration, multi-variable chain rule, multi-variable functions, surfaces and contours, parametric equations, partial differentiation, tangent planes, change of basis, eigenvalues and eigenvectors, geometry of linear transformations, Gram-Schmidt Method, matrix algebra, solving systems of equations, and more. Harvey Mudd College community members may use their hmc.edu logins to follow the "I'm ready to take the quiz" links at the bottom of each tutorial page.

Levels: High School (9-12), College
Languages: English
Resource Types: Tutorials
Math Topics: Linear Algebra, Calculus (Single Variable), Calculus (Multivariable), Ordinary Differential Equations, Pre-Calculus

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