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Strand 5 Higher Level Functions and Calculus
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Functions was the final strand to be introduced in phase 3 of the new Project Maths Course. This topic provides an essential link between Algebra and Number and introduces the students to applicati...
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Advanced Algebraic Concepts and Applications in Mathematics
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This course is ideal for people who want to gain a thorough understanding and knowledge of advanced topics in algebra. The advanced algebra topics include linear equations, inequalities, graphs...
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Strand 4 Ordinary Level Algebra
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Algebra is the lifeblood and the natural language of Mathematics and provides a perfect link between number, geometry, trigonometry and functions. It would be impossible to formulate and solve real...
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Strand 3 Higher Level Numbers and Shapes
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The concepts of number and number patterns are the basic building blocks of arithmetic and algebra. Furthermore, we cannot escape the use of numbers in our everyday lives. We use clocks and watches...
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Junior Certificate Project Maths - Higher Level
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This course is for students interested in studying the Project Maths Junior Certificate Higher Level Course in its entirety. This free online course provides students with tutorial videos on all th...
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Junior Certificate Strand 3 - Higher Level - Numbers and Shapes
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Numbers and Shapes is one of the strands of the new Project Maths Course in the Irish curriculum. The concepts of number and number patterns are the basic building blocks of arithmetic and algebra....
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ACT Math Exam
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The ACT (American College Testing) is a standardized test for high school achievement and college admissions in the United States produced by ACT, Inc. The ACT test has historically consisted of fo...
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Diploma in Mathematics
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Alison.com's free online Diploma in Mathematics course gives you comprehensive knowledge and understanding of key subjects in mathematics. This course covers calculus, geometry, algebra, trigonomet...
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Algebra I (Beginning Algebra)
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Videos on a first course in Algebra (Beginning Algebra).
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Complex Variables with Applications
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This course explored topics such as complex algebra and functions, analyticity, contour integration, Cauchy's theorem, singularities, Taylor and Laurent series, residues, evaluation of integrals, m...
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Calculus Revisited: Single Variable Calculus
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Calculus Revisited is a series of videos and related resources that covers the materials normally found in a freshman-level introductory calculus course. The series was first released in 1970 as a ...
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Adventures in Advanced Symbolic Programming
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This course covers concepts and techniques for the design and implementation of large software systems that can be adapted to uses not anticipated by the designer. Applications include compilers, c...
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Computational Science and Engineering I
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This course provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. Also covered are: differential equations of equilibrium; Lapla...
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Mathematical Methods in Nanophotonics
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Find out what solid-state physics has brought to Electromagnetism in the last 20 years. This course surveys the physics and mathematics of nanophotonics—electromagnetic waves in media structured on...
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Linear Algebra
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This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering. It parallels t...
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Linear Partial Differential Equations: Analysis and Numerics
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This course provides students with the basic analytical and computational tools of linear partial differential equations (PDEs) for practical applications in science engineering, including heat / d...
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Linear Algebra
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This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering. It parallels t...
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Introduction to Numerical Methods
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This course offers an advanced introduction to numerical linear algebra. Topics include direct and iterative methods for linear systems, eigenvalue decompositions and QR/SVD factorizations, stabili...
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Modern Algebra
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This undergraduate course focuses on traditional algebra topics that have found greatest application in science and engineering as well as in mathematics.
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Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra
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Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Complex Variables, Differ...
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Seminar in Algebra and Number Theory: Computational Commutative Algebra and Algebraic Geometry
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In this undergraduate level seminar series, topics vary from year to year. Students present and discuss the subject matter, and are provided with instruction and practice in written and oral commun...
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Introduction to Statistical Method in Economics
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This course is a self-contained introduction to statistics with economic applications. Elements of probability theory, sampling theory, statistical estimation, regression analysis, and hypothesis t...
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Calculus Revisited: Single Variable Calculus
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Calculus Revisited is a series of videos and related resources that covers the materials normally found in a freshman-level introductory calculus course. The series was first released in 1970 as a ...
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D4M: Signal Processing on Databases
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D4M is a breakthrough in computer programming that combines graph theory, linear algebra, and databases to address problems associated with Big Data. Search, social media, ad placement, mapping, tr...
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Introduction to Stochastic Processes
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This course is an introduction to Markov chains, random walks, martingales, and Galton-Watsom tree. The course requires basic knowledge in probability theory and linear algebra including conditiona...
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Linear Algebra - Communications Intensive
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This is a communication intensive supplement to Linear Algebra ( 18.06 ). The main emphasis is on the methods of creating rigorous and elegant proofs and presenting them clearly in writing. The cou...
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Multivariable Calculus with Theory
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This course is a continuation of 18.014 . It covers the same material as 18.02 (Multivariable Calculus), but at a deeper level, emphasizing careful reasoning and understanding of proofs. There is ...
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Introduction to Numerical Analysis
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This course analyzed the basic techniques for the efficient numerical solution of problems in science and engineering. Topics spanned root finding, interpolation, approximation of functions, integr...
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Mathematics for Materials Scientists and Engineers
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This course covers the mathematical techniques necessary for understanding of materials science and engineering topics such as energetics, materials structure and symmetry, materials response to ap...
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Algebra I
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This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.
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Topics in Algebraic Combinatorics
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The course consists of a sampling of topics from algebraic combinatorics. The topics include the matrix-tree theorem and other applications of linear algebra, applications of commutative and exteri...
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Special Topics in Mathematics with Applications: Linear Algebra and the Calculus of Variations
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This course forms an introduction to a selection of mathematical topics that are not covered in traditional mechanical engineering curricula, such as differential geometry, integral geometry, discr...
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Engineering Math: Differential Equations and Linear Algebra
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This course is about the mathematics that is most widely used in the mechanical engineering core subjects: An introduction to linear algebra and ordinary differential equations (ODEs), including ge...
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Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra
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Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Complex Variables, Differ...
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D4M: Signal Processing on Databases
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D4M is a breakthrough in computer programming that combines graph theory, linear algebra, and databases to address problems associated with Big Data. Search, social media, ad placement, mapping, tr...
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Commutative Algebra
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In this course students will learn about Noetherian rings and modules, Hilbert basis theorem, Cayley-Hamilton theorem, integral dependence, Noether normalization, the Nullstellensatz, localization,...
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Algebraic Combinatorics
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This is an introductory course in algebraic combinatorics. No prior knowledge of combinatorics is expected, but assumes a familiarity with linear algebra and finite groups. Topics were chosen to sh...
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Introduction to Numerical Methods
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The focus of this course is on numerical linear algebra and numerical methods for solving ordinary differential equations. Topics include linear systems of equations, least square problems, eigenva...
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Numerical Methods Applied to Chemical Engineering
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Numerical methods for solving problems arising in heat and mass transfer, fluid mechanics, chemical reaction engineering, and molecular simulation. Topics: Numerical linear algebra, solution of non...
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Database Systems
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This course relies on primary readings from the database community to introduce graduate students to the foundations of database systems, focusing on basics such as the relational algebra and data ...
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Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler
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Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler is an in-depth series of videos about differential equations and the MATLAB® ODE suite. These videos are suitable...
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Calculus Revisited: Multivariable Calculus
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Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Multivariable Calculus i...
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Numerical Computation for Mechanical Engineers
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This class introduces elementary programming concepts including variable types, data structures, and flow control. After an introduction to linear algebra and probability, it covers numerical metho...
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Applied Geometric Algebra
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László Tisza was Professor of Physics Emeritus at MIT , where he began teaching in 1941. This online publication is a reproduction the original lecture notes for the course "Applied Geometric Alge...
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Linear Algebra
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This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigen...
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Calculus Revisited: Multivariable Calculus
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Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Multivariable Calculus i...
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Linear Algebra
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This course offers a rigorous treatment of linear algebra, including vector spaces, systems of linear equations, bases, linear independence, matrices, determinants, eigenvalues, inner products, qua...
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Algebra II
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This undergraduate level course follows Algebra I. Topics include group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field ...
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Applied Geometric Algebra
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László Tisza was Professor of Physics Emeritus at MIT , where he began teaching in 1941. This online publication is a reproduction the original lecture notes for the course "Applied Geometric Alge...
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Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler
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Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler is an in-depth series of videos about differential equations and the MATLAB® ODE suite. These videos are suitable...
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