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It is the first course in the three half honors calculus sequence for faculty kids majoring in mathematics, science or engineering. Topics include limits, continuity, differentiation, applications of differentiation, and integration. Applications of the by-product are lined intimately, together with approximation of errors using differentials, maxima and minima issues, curve sketching, optimization issues, and Newton’s technique. Topics on integration embrace Riemann sums, properties of particular integrals, integration by substitution and integrals involving logarithmic exponential and trigonometric functions.
- Math 51- Linear Algebra, Multivariable Calculus, and Modern Applications covers linear algebra and multivariable differential calculus in a unified manner alongside purposes related to many quantitative fields.
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Representation principle of the symmetric group, symmetric capabilities and operations with Schur features. In latest years, matters have included utilized complicated analysis, special functions, and asymptotic strategies. May be repeated for credit with consent of adviser as subjects range. Probability spaces, random variables, independence, conditional likelihood, distribution, expectation, variance, joint distributions, central limit theorem.
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