Calculus III

Prerequisite for Calc III is Calc I.  
For exam placement, see dept site: https://math.barnard.edu/placement-calculus-classes

• To develop a conceptual understanding of the fundamental principles of multivariable differential calculus and explore their practical relevance to other branches of natural and social sciences.
• Students will enhance their critical thinking by using 3D graphical tools and engaging with three dimensional representations of curves, surfaces and solids.
• Writing justifications/explanations for answers on all graded work will expand students' ability to clearly communicate mathematical ideas in writing. 
• Problem solving skills will be augmented through applications in physics and real world problems involving the dynamics of movement, and optimization problems involving multiple inputs (parameters)

• The sequence of topics covered is as follows.

  • ​​​​1.  Vectors. Equations of lines and planes. Cylinders and quadric surfaces. 

  • 2. Vector functions. Space curves. Arc length and curvature. Applications.

  • 3. Functions of several variables. Partial derivatives. Gradient. Optimization. Lagrange multipliers.

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