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Learn Mathematics, earn certificates with free online courses from Harvard, Stanford, MIT, University of Pennsylvania and other top universities around the world. Read reviews to decide if a class is right for you.
Explore convolution through intuitive descriptions, equations, and worked examples of typical functions, covering various applications and related concepts.
Comprehensive exploration of Fourier Transform, covering definition, properties, applications, and relationships to other transforms. Includes 2D extension for image processing and practical examples.
Explore decimation, interpolation, and aliasing in digital signal processing, with practical examples and insights into 1-Bit DAC functionality.
Comprehensive exploration of Laplace Transform: equations, examples, convergence, applications in circuits, and relationships with other transforms. Ideal for deepening mathematical understanding.
Explore practical applications of Fourier Transform, including 2D image processing. Learn through examples, from basic cosine functions to complex system analyses and digital signal processing.
Explore fascinating mathematical concepts, from knot theory to non-Euclidean geometry, in an accessible and engaging series designed for a wide audience.
Explore the mathematics behind personal finance, investing, and economics, focusing on interest types, formulas for savings and investments, and income inequality concepts.
Explore voting systems, fair division, graph theory, growth models, financial math, statistics, and probability in this comprehensive applied mathematics course.
Explore misleading graphs, convex regions, compactness, polls, expected value, compound interest, exponential functions, and logarithms to enhance your mathematical understanding for real-world applications.
Explore transcendental functions, including logarithms and exponentials, through proofs, examples, and problem-solving. Learn derivatives, integrals, and properties of these essential mathematical concepts.
Comprehensive exploration of real number sequences and series, covering convergence, limits, and advanced mathematical concepts for a deep understanding of analysis fundamentals.
Master essential unit conversions across various measurements, from scientific notation to density, enhancing your problem-solving skills in science and engineering.
Master Laplace Transform: definition, essential transforms, inverse transforms, and applications in solving differential equations. Gain practical skills through extensive problem-solving exercises.
Learn to solve inverse Laplace transform problems using various techniques, including partial fractions and completing the square, with multiple examples and practice problems.
Explore unit step functions, translation, and Laplace transforms in this comprehensive tutorial covering key concepts and practical applications in differential equations.
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