# Online Math Courses

“Hard” math doesn't have to be all that “hard” after all. I've created math courses to help you with everything from the Fundamentals all the way through…

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This Fundamentals course could just as easily be called "Middle school math". It's the course you should take before starting the Algebra series, which will take you from Pre-algebra through Algebra I and II.

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This comprehensive Algebra course includes Pre-algebra, and Algebra I and II. You'll start with fundamental algebraic properties and work your way through equations, polynomials and factoring, and graphing, among other major concepts from algebra.

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In this Geometry course, you'll start with simple two-dimensional geometry and work your way through three-dimensional geometry, logic and proofs, many-sided figures, and dilations and scale factors, among other major concepts from geometry.

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This Pre-Calc/Trigonometry course includes essential topics from a standard trig course. You'll start with simple angles and work your way through the unit circle, trig functions and identities, and polar and parametric curves.

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This foundations series is essential to any introductory calculus course. In this course, calculus tutor Krista King hand-picks those concepts from algebra and trigonometry that are most critical for getting off to the right start in calculus.

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Limits and continuity together build an essential foundation for both differential and integral calculus. In this course, calculus tutor Krista King takes you through the complexity of limits, including the precise definition of the limit, and continuity.

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Derivatives are the centerpiece of almost any introductory calculus class, and they answer the first major question of calculus, that is, "How do we find the slope of a curve?"

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Derivatives are powerful because they allow us to find the slope of a function. But what can we really do with information about the slope? How can we apply our knowledge of derivatives to the real world?

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Integrals answer the second major question in calculus, which is "How can we find the area under a curve?" Integrals are often called antiderivatives because they perform the opposite function of derivatives.

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Integrals are powerful because they allow us to find the area under a curve, but what does that really mean? What can we do with information about the area under a curve? In this course, calculus tutor Krista King walks you through the most common mathematical applications of integrals, plus applications to physics, geometry, economics and biology.

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Polar curves and parametric curves are defined in a polar coordinate system in terms of r and theta, instead of a cartesian coordinate system in terms of x and y. Parametric curves are unique because each function is defined by two equations, usually one for x and one for y, each in terms of a third parameter, t.

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Sequences and series are often two of the most difficult concepts a calculus student will face. In this course, calculus tutor Krista King explains the difference between a sequence and a series and walks you step-by-step through every type of series, including convergence tests for each type, and how to find the limit and sum of a series. Taylor and Maclaurin series are also included.

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Partial derivatives are so called because they're the derivatives of multivariable functions. When a function is defined in terms of two or more variables, the function's derivative is actually a collection of partial derivative equations.

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In the same way that partial derivatives allow you to take the derivatives of multivariable functions, multiple integrals let you take the integrals of multivariable functions. In this course, calculus tutor Krista King discusses iterated, double, double polar, and triple integrals, including the mathematical applications of each.

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In this course, calculus tutor Krista King explains all aspects of introductory vector calculus.

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