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The topics covered in this course include real numbers, set theory, intervals and inequalities, Lines, functions and graphs, limits and continuity, differentiation, integration, and sequence and series.

This course applies calculus techniques to business practices and issues.

Calculus I
Richard Delaware, Math — University of Missouri, Kansas City
Summer 2009This course includes instruction in trigonometry, trigonometric graphs, Laws of Sine and Cosine, limits, and definite integrals.

This 91video course covers the fundamental concepts of calculus.

This course was designed in partnership with the Washington State Board for Community and Technical Colleges and prepares students for the basics of calculus.

Math and engineering students study to understand calculus principles such as integration, inverse trigonometric functions, and continuity.

Understand change and motion by developing an understanding of calculus, its principles, and its applications.

Calculus I will teach you about differential and integral calculus.

Professor Matthew Leingang's course studies the foundations of calculus, as well as the study of functions and their rates of change.

In this intro course, areas of study include instantaneous velocity, secant lines and tangent lines, techniques for computing limits, and more.

Develop your understanding of derivatives, continuity, limits, implicit curves, and much more.

The calculus II course covers definite integral applications, improper integrals, sequences and series, and techniques of integration.

This course focuses on two basic applications in math: differential calculus and integral calculus.

Students continue their study of the mathematics that measures motion and change, and learn advanced concepts like spherical coordinates and integration techniques.

Expand on the knowledge gained in Calculus 1 by learning advanced calculus principles, like lines and planes.

Continue working in this course, which discusses transcendental functions, techniques of integration, and more.

Continue your study of calculus, including topics in the definite integral, the Fundamental Theorem of Calculus, sigma notation, and more.

Calculus II  MAC 2312
Spring 2011This lecture series from Florida International University covers a MAC 2312 course.

Calculus II for Business
Fall 2009Calculus for business students will learn about using calculus to understand and incorporate real life situations in business as well as the outside world.

Calculus II for Business and Social Sciences
Spring 2010Students study single variable integral and multivariable calculus as well as differential equations and other concepts as they relate to the business and social sciences fields.

Calculus III features course work in solid analytic geometry, vector functions, partial derivatives, line and surface integrals, and vectors.

Study Calculus III to find an introduction to the calculus of functions of several variables.

Become familiarized with advanced calculus concepts, such as continuity, limit concept, and much more.

Calculus of Several Variables
James McKernan, Math — Massachusetts Institute of Technology (MIT)
Fall 2010This course covers the intensive study of mathematical concepts in severalvariable calculus.

Calculus of Variations and Integral Equations
Malay Banerjee, Math — Indian Institute of Technology Kanpur (IIT Kanpur)
N/AStudents will learn various rules and theories in calculus, including Fredholm's theory and the Volterra integrodifferential equation.

Calculus One offers an introduction to differential and integral calculus, with an emphasis on examples from everyday life.

Calculus with Applications
Daniel Kleitman, Math — Massachusetts Institute of Technology (MIT)
Spring 2005This course for undergrads covers differential calculus in one and multiple dimensions.

Calculus with Theory
Christine Breiner, Math — Massachusetts Institute of Technology (MIT)
Fall 2010This course provides rigorous study of proofs, as an extension of elementary calculus.

This course provides sample questions from the AP calculus AB and BC exams.

In this course, students will learn about minima, maxima, and critical points, as well as rates of change, optimization, and more.

Divergence theorem intuition is taught in this course, with examples and proofs included.

In this course, students will explore the topic of volume under a surface with double integrals and triple integrals.

This course covers indefinite integral as antiderivative and explains related topics.

This course introduces limits, squeeze theorem, and epsilondelta definition of limits in calculus.

This course covers line integral of scalar and vectorvalued functions, as well as Green's theorem and 2D divergence theorem.

Students will learn about forms of derivatives in multidimensions as well as vectorvalued functions in this course.

Sequences, series, and approximating functions are taught in this course.

Calculus: Single Variable
Spring 2013Calculus: Single Variable is perfect for engineering, physics, and social sciences, with a look at the different applications of calculus in these fields.

Students will learn how to use definite integrals with the shell and disc method as a means to find volumes of solids of revolution.

In this course, students will study surface integrals and Stokes' theorem.

Students will learn how to calculate derivatives, gain an understanding of power rule, product and quotient rules, chain rule, and more.

College Algebra
Richard Delaware, Math — University of Missouri, Kansas City
Summer 2009This college algebra course examines Natural numbers, Real numbers, functions, graphs, and ways to find the distance between two points.

This class covers algebraic principles in depth, with an emphasis on everyday application.

College Algebra
Fall 2009Areas of study include fundamental algebraic operations, exponents and radicals, systems of equations, higher degree equations, logarithms, matrices, and inequalities.

Topics include working with a graphic calculator, solving first and second degree equations, and more.

This course from Front Range Community College focuses on angles.

Combinatorial Analysis
Alexander Postnikov, Math — Massachusetts Institute of Technology (MIT)
Fall 2005This course analyzes combinatorial problems and investigates various solutions.

Combinatorial Optimization
Santosh Vempala, Math — Massachusetts Institute of Technology (MIT)
Fall 2003This course provides an intensive explanation of linear programming and combinatorial optimization.

Combinatorial Theory: Hyperplane Arrangements
Richard Stanley, Math — Massachusetts Institute of Technology (MIT)
Fall 2004This graduate course explores modern enumerative and algebraic combinatorics and hyperplane arrangements in depth.

Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative Combinatorics
Igor Pak, Math — Massachusetts Institute of Technology (MIT)
Spring 2005This class offers an introduction to modern enumerative and algebraic combinatorics.

This class provides an introduction to commutative algebra theories and applications, like Hilbert basis theorem, ClayeyHamilton theorem, integral dependence and more.

Students will learn the theory of analytic functions of a complex variable in this course.

Complex Variables with Applications
Alar Toomre, Math — Massachusetts Institute of Technology (MIT)
Fall 2003Students in this course explore topics in complex algebra and its functions.

Computational Geometry
Nicholas Patrikalakis, Takashi Maekawa, Math — Massachusetts Institute of Technology (MIT)
N/AThis course will address the various aspects of computational geometry, covering topics that include bsplines, offsets, boundary representation models, and physically based deformable surfaces.

Computational Science and Engineering I
Gilbert Strang, Math — Massachusetts Institute of Technology (MIT)
Fall 2008Through this course students review various principles and applications of linear algebra.

Concepts in Computing with Data
Fletcher Ibser, Math — University of California, Berkeley (UC Berkeley)
Fall 2012This course offers an introduction to computationally intensive statistics. Topics of study include the organization and use of statistical learning and data mining, model validation procedures, databases, and graphics.

Concepts of Probability
Fletcher Ibser, Math — University of California, Berkeley (UC Berkeley)
Spring 2010Concepts of probability provides an introduction to the concepts and applications of probability. It also reviews the laws of large numbers, conditional expectation, central limit theorem, and more.

Core Science Mathematics
S.K. Ray, Math — National Programme on Technology Enhanced Learning (NPTEL)
N/ACore Science Mathematics studies real numbers, sequences, functions, and more.

In this course from the Open University of Hong Kong, learn basic probability and counting principles.

This course prepares students to take the California Subject Examinations for Teachers (CSET), which is necessary to teach math or science in the state's schools.

This online open course helps prepare science and mathematics teachers to take the California Subject Examinations for Teachers (CSET). Lesson topics include plane Euclidean geometry, threedimensional geometry, probability, and statistics.

UC  Irvine's CSET Mathematics III course prepares students to take the California Subject Examinations for Teachers. This course includes study in trigonometry, limits and continuity, integrals and applications, and sequences and series.

This course is first in a twosemester sequence, covering various topics in differential analysis in mathematics.

Differential Analysis
Jeff Viaclovsky, Math — Massachusetts Institute of Technology (MIT)
Spring 2004This course is second in a twosemester sequence, providing a thorough foundation in elliptic and parabolic linear partial differential equations theory.

This course is essentially a firstyear course in differential equations. It covers separable differential equations, exact equations, first order homogenous equations, and factor integration.

Supplemental videos from the Khan Academy ensure this course thoroughly explains differential equations to students.

This course contains more than 90 interactive differential equations tools and covers the entire differential equations course.

Differential Equations
Arthur Mattuck, Haynes Miller, Jeremy Orloff, John Lewis, Math — Massachusetts Institute of Technology (MIT)
Fall 2011In this course students learn about the math equations and techniques commonly used in science and engineering.

Check out this course on differential equations to understand both firstorder differential equations and selected secondorder differential equations with a variety of applications.

Differential Equations
Spring 2010Gain a foundation in differential equations through lectures in linear firstorder equations, existence and uniqueness, mechanical vibrations, and more.

This course from Florida International University explores concepts in differential equations.

This class focuses on the use of differential equations to solve specific real world problems.

This course studies differential equations with only first derivatives.

In this course, transforms and the Laplace transform in particular are taught as well as convolution integrals.

Students taking this course will study differential equations that contain second derivatives.

With a concentration on geometry and the notion of curvature, this course introduces differential geometry.

In this class, students will gain a solid understanding of intermediate mathematics, with a focus on differentiation and functions.

In this diploma course on mathematics, students will be refreshed on the various mathematical subjects, including calculus, algebra, geometry, and statistics.

A diploma course covers key topics in statistics, such as probability, data collection, and regression analysis.

Students in this course will study discrete, mathematical objects and structures like proofs, summations, graphs, algorithms and integers, among others.

Students in this course will study discrete, mathematical objects and structures like proofs, summations, graphs, algorithms and integers, among others.

This course studies patterns found in sets, relations, and functions; mathematical ideas and concepts relevant to logic, combinatorics, and probability are also covered.

Double Affine Hecke Algebras in Representation Theory, Combinatorics, Geometry, and Mathematical Physics
Pavel Etingof, Math — Massachusetts Institute of Technology (MIT)
Fall 2009In this class, students will discuss the representation of Double affine Hecke algebras (DAHA) in a number of different contexts.

Saylor provides this course to give students a clear and simple introduction to econometrics.

Students will learn about the major theories of economic development and to place them in the proper historical context in this course.

This class discusses laws of logic, sets, relations and functions, sequences, series, matricies, introduction to statistics, data representation, the central tendency of a dataset, measures of dispersion, and probability theory.

Elementary Numerical Analysis
Rekha P. Kulkarni, Math — Indian Institute of Technology Bombay (IIT Bombay)
N/AStudents will learn about different topics in elementary numerical analysis, including polynomial and piecewise polynomial interpolation and numerical integration and differentiation.

This course is composed of 12 lessons containing quizzes, exams, and projects that will introduce you to data analysis using graphical and numerical techniques.

Elementary Statistics and Probability
Fall 2006This course from De Anza College provides an introduction to data analysis using graphical and numerical techniques.

Elements of Calculus I
Fall 2008Learn about basic calculus, mathematics and functions and how they relate to education and society.

ErrorCorrecting Codes Laboratory
Daniel Spielman, Math — Massachusetts Institute of Technology (MIT)
Spring 2004In this course students will be introduced to iterative decoding algorithms and their related codes.

This course from The Open University will teach you about using graphs as a way to present information.

Covers systems of linear equations, basic concepts in statistics, and probability for finite sample space.

For any student struggling in mathematics, this foundations course will prepare them for higher levels of mathematics courses.

Fourier Analysis
R. Radha, S. Thangavel, Math — Indian Institute of Science Bangalore (IIT Bangalore) & Indian Institute of Technology Madras (IIT Madras)
N/AThis course covers advanced topics related to the Fourier series concept.

Fourier Analysis  Theory and Applications
Richard Melrose, Math — Massachusetts Institute of Technology (MIT)
Spring 2004This course is intended to follow an introductory analysis course, emphasizing theory of the Lebesgue integral, Fourier series, and Fourier integrals.

This module establishes the principle theorums of functional analysis, linear algebra, and metric topology.

Functional Analysis
P.D. Srivastava, Math — Indian Institute of Technology Kharagpur (IIT Kharagpur)
N/AStudents will learn the basic concepts, principles, and methods of functional analysis and its applications.

Students will study functional analysis as it relates to spaces, operators, and spectral results.

Functions of a Complex Variable
Sigurdur Helgason, Math — Massachusetts Institute of Technology (MIT)
Fall 2008Intended for advancedlevel graduate students, this course explores one complex variablecalculus with geometric emphasis.