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Algebra in Mathematicsfull-course

In this basic algebra course, students will learn the foundations of basic operations, algebraic fractions, and quadratic equations.

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Algebra Onemixed

This course guides students through a high school level algebra curriculum.

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Algebra: Conic Sectionsvideo

This course teaches students how to identify and graph circles, parabolas, ellipses, and hyperbolas.

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Algebra: Exponent Expressions and Equationsvideo

Students taking this course will solve radical and exponential expressions and equations with scientific notation and significant figures.

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Algebra: Functionsvideo

This course studies functions and how they can be identified, solved, and graphed.

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Algebra: Graphing Points, Equations, and Inequalitiesvideo

In this course, students will study the coordinate plane, slope, and intercept.

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Algebra: Imaginary and Complex Numbersvideo

Students will learn to understand and solve equations with imaginary numbers.

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Algebra: In Simplest Termsvideo

Students learn algebra as well as geometry and calculus basics in order to help them solve everyday problems.

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Algebra: Introduction to Algebravideo

In this course, students will explore the reason algebra was developed and how it helps explain our world.

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Algebra: Linear Equationsvideo

Students will be given an introductory look at algebraic variables and expressions in this course.

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Algebra: Linear Inequalitiesvideo

This tutorial course applies principles of logic to solving for inequalities.

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Algebra: Logarithmsvideo

Students will study the process and applications of logarithms.

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Algebra: Matricesvideo

In this course, students will gain an understanding of matrices and learn how to solve them.

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Algebra: Polynomialsvideo

This course teaches students to use polynomial expressions and to factor polynomials.

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In this course, students will learn to solve quadratics through completing the square, factoring, graphing, and the quadratic equation.

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Algebra: Ratios and Rational Expressionsvideo

In this course, students will discover how to interpret and manipulate algebraic ratios and rational expressions.

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Algebra: Systems of Equations and Inequalitiesvideo

Students will learn to solve a system of inequalities or equations in two variables by substitution, graphing, and elimination.

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Algebraic Combinatoricsfull-courseSpring 2009

Gregg Musiker, MathMassachusetts Institute of Technology (MIT)

Students in this course are expected to have a background in basic linear algebra and finite groups, to learn the fundamentals of combinatorics.

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Algebraic Geometryfull-courseFall 2003

Martin Olsson, MathMassachusetts Institute of Technology (MIT)

In this class about algebraic geometry, students discuss fundamentals of algebraic varieties.

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Algebraic Topologyfull-course

G.K. Srinivasan, MathIndian Institute of Technology Bombay (IIT Bombay)

Students in this course will learn about fundamental groups, covering spaces, singular homology theory, and more.

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Algebraic Topologyfull-courseFall 2006

Tyler Lawson, MathMassachusetts Institute of Technology (MIT)

This course focuses on homology and cohomology theory in an introduction to algebraic topology.

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Algebraic Topology IIfull-courseSpring 2006

Mark Behrens, MathMassachusetts Institute of Technology (MIT)

The second course in algebraic topoology covers a variety of theories and applications.

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Algorithmsfull-course

Michael Littman, Job Evers, MathUdacity

Take this course for an introduction to the design and analysis of algorithms, with practical examples including the Kevin Bacon game and social networking.

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An Introduction to Complex Numbersfull-course

Explore complex numbers, learn how they're defined, and examine geometric representation in this course from The Open University.

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Analysis Ifull-courseFall 2010

Katrin Wehrheim, MathMassachusetts Institute of Technology (MIT)

This course covers the foundational principles of mathematical analysis.

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Analysis IIfull-courseFall 2005

Victor Guillemin, MathMassachusetts Institute of Technology (MIT)

This course covers multivariable calculus, theory of differential forms in n-dimensional vector spaces, and manifolds.

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Analysis of a Complex Kindfull-courseFall 2013

Dr. Petra Bonfert-Taylor, MathWesleyan University

This course educates students on the subject of complex analysis, which is the study of functions that live in the complex plane.

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Analytic Combinatoricsfull-courseSpring 2013

Robert Sedgewick, MathPrinceton University

Take Analytic Combinatorics to study calculus for precise predictions of large combinatorial structures.

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Analytic Geometry and CalculusaudioSpring 2013

James Demmel, MathUniversity of California-Berkeley (UC Berkeley)

This course covers the integration of economics and life sciences, with topics such as differential equations, functions of many variables, partial derivatives, and constrained and unconstrained optimization.

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Analytic Geometry and Calculus IIvideoFall 2011

Thomas Scanlon, MathUniversity of California-Berkeley (UC Berkeley)

A continuation of the previous course, this lecture series offers further study in analytic geometry and calculus.

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