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

To visualize, plot and interpret
- Points
- Lines
- Vectors
- Curves
- Surfaces in 3D

To translate among rectangular, cylindrical and spherical coordinate systems and state some advantages and disadvantages of each system To perform basic vector operations and apply these operations To interpret the fundamental ideas of rates of change and accumulation for curves in higher dimensions: Tangent vectors Arc length Curvature
To interpret the fundamental ideas of rates of change and accumulation for surfaces in higher dimensions: Directional derivatives Tangent planes Max/min applications Volumes & surface areas

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