MATH& 254 - Calculus IV

5 CR

Extends the concepts of calculus to vector-valued functions and functions of several variables. Partial derivatives are included. Note: Fulfills the quantitative or symbolic reasoning course requirement at BC.

Recommended: MATH 152.
Course Outcomes

Visualize, plot and interpret points, lines, vectors, curves, and surfaces in 3D.
Translate among rectangular, cylindrical and spherical coordinate systems and state some advantages and disadvantages of each system.
Perform basic vector operations and apply these operations.
Interpret the fundamental ideas of rates of change and accumulation for curves in higher dimensions: tangent vectors, arc length, curvature.
Interpret the fundamental ideas of rates of change and accumulation for surfaces in higher dimensions: directional derivatives, tangent planes, max/min applications, volumes, and surface areas.

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