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Topics include groups, 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 some Engineering majors. Those who plan to main in Physics or in Engineering majors requiring Math 50’s beyond Math 51 are really helpful to take Math 60CM. This sequence supplies the mandatory mathematical background for majors in all disciplines, particularly for the Natural Sciences, Mathematics, Mathematical and Computational Science, Economics, and Engineering. Math 52- Integral Calculus of Several Variables covers multivariable integration, and particularly Green’s Theorem and Stokes’ Theorem. The division provides 3 sequences in multivariable arithmetic.
