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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.
Comprehensive exploration of vector concepts, including representation, transformation, and reflection, with practical exercises for Grade 11 students in Ethiopia.
Explore limits, continuity, sequences, and related concepts in mathematics, enhancing problem-solving skills and preparing for advanced mathematical studies.
Explore matrices, determinants, and their applications in solving systems of equations, including Cramer's rule, for Ethiopian Grade 11 mathematics.
Explore key concepts in coordinate geometry including distance, line segments, gradients, and equations of lines. Develop problem-solving skills through exercises and applications.
Explore propositional logic, compound propositions, tautologies, and contradictions in this comprehensive introduction to mathematical reasoning for university freshmen.
Explore sequences and series, including arithmetic and geometric progressions, with practical applications and exercises for Grade 12 mathematics students.
Explore critical numbers and absolute extrema in various mathematical functions, enhancing problem-solving skills for calculus and optimization challenges.
Explore the method of undetermined coefficients for solving nonhomogeneous differential equations, including determining particular solution forms for various equation types.
Learn to solve differential equations using the Variation of Parameters method, focusing on its application to equations like y''+y=tan(t).
Comprehensive exploration of Laplace transforms, covering definitions, techniques, and applications for various functions, including exponential orders and piecewise functions.
Explore key properties of Laplace Transform, including translation theorems, derivatives, and special functions, with practical examples and efficient problem-solving techniques.
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.
Explore Laplace transforms of discontinuous functions, including unit step and shifted unit step functions, with applications to differential equations and inverse transforms.
Explore convolution theorem, Laplace transforms, and inverse Laplace transforms with practical examples and proofs for a comprehensive understanding of these mathematical concepts.
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