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Covers linear algebra and multivariable differential calculus in a unified manner alongside purposes associated to many quantitative fields. This materials consists of the essential geometry and algebra of vectors, matrices, and linear transformations, as properly as optimization strategies in any number of variables . This course covers the identical material as MATH 227 but in a depth applicable for honors college students. It is the third course in the three part honors calculus sequence for college students majoring in mathematics, science or engineering. Topics embody vectors in Euclidean spaces, solving systems of linear equations, matrix algebra, inverses, determinants, eigenvalues, and eigenvectors. Also vector areas and the basic notions of span, subspace, linear independence, foundation, dimension, linear transformation, kernel and vary are thought of.
Degree credit score is not going to be granted for both MATH 121 and MATH a hundred twenty five or MATH one hundred forty five. The course includes study of trigonometric capabilities, inverse trigonometric capabilities, trigonometric identities and trigonometric equations. Complex numbers, De Moivre’s Theorem, polar coordinates, vectors and different subjects in algebra are also addressed, including conic sections, sequences and series.
