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A focus on several methods which are widely used in the analysis of high-dimensional information. Independent or collaborative research experience in mathematics. Topics include teams, cyclic teams, non-abelian teams, Lagrange’s theorem, subgroups, cosets, homomorphisms, isomorphisms, rings. This sequence provides the necessary mathematical background for majors in Computer Science, Economics, Mathematics, Mathematical and Computational Science, and most Natural Sciences and a few Engineering majors. Those who plan to major in Physics or in Engineering majors requiring Math 50’s beyond Math fifty one are recommended to take Math 60CM. This series provides the mandatory mathematical background for majors in all disciplines, especially for the Natural Sciences, Mathematics, Mathematical and Computational Science, Economics, and Engineering.

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Focus is on statistics for problem-solving and determination making, rather than calculation. Class actions deepen the understanding of basic issues in learning to work with information. Technology specifically designed for data-driven investigations and statistical evaluation related to elementary faculty educating is built-in throughout the course. This is the primary of three programs in the basic calculus sequence. Topics embrace the limit of a operate; the by-product of algebraic, trigonometric, exponential, and logarithmic functions; and the particular integral.

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Axiomatic, analytic, transformational, and algebraic approaches to geometry might be used. The relationship between Euclidean geometry, the geometry of complicated numbers, and trigonometry shall be emphasized. Properties of two- and three-dimensional shapes, inflexible movement transformations, similarity, spatial reasoning, and the process and techniques of measurement. Class actions initiate investigations of underlying mathematical structure within the exploration of shape and space. Emphasis is on the explanation of the mathematical thought process. Technology specifically designed to facilitate geometric explorations is built-in all through the course.

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Math 19- Calculus covers properties and purposes of limits, continuous capabilities, and derivatives. Calculations contain trigonometric functions, exponentials, and logarithms, and applications embody max/min issues and curve-sketching. Sophia’s ACE® and DEAC-recommended courses have been accepted for credit score at lots of of schools and universities. The American Council on Education’s College Credit Recommendation Service (ACE®️) has evaluated and recommended school credit score for over 50 of Sophia’s on-line programs for school credit score.

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