This course includes the multivariable calculus material present inMATH 8along with a brief introduction to concepts from linear algebra, a topic pervasive throughout mathematics and its applications. The introduction to linear algebra enables a more thorough understanding of multivariable calculus. Topics include vector geometry, equations of lines and planes, matrices and linear transformations, space curves (velocity, acceleration, arclength), functions of several variables (limits and continuity, partial derivatives, the derivative as a linear transformation, tangent planes and linear approximation, the Chain Rule, directional derivatives and applications, and optimization problems including the use of Lagrange multipliers).First-year students who have successfully completed a BC calculus curriculum in secondary school may complete multivariable calculus either by taking the two-term sequenceMATH 9, 13 or by taking the single faster-paced courseMATH 11, which covers the second half of Math 8 together with the material from Math 13 in a single term.
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