Outcomes:

After completing this class, students should be able to:

• 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