MATH 247 Section 001: Honors Calculus III

This course covers the last third of the basic calculus sequence.  Topics include analytic geometry in space, vector-valued functions and motion in space, functions of two or more variables and their partial derivatives, applications of partial differentiation (including Lagrangian multipliers), quadric and cylindrical surfaces, and multiple integration (including Jacobian) and applications, line integrals, Green's theorem, curl and divergence, surface integrals, and Stokes’ theorem.

LEARNING OUTCOMES FOR 100- AND 200-LEVEL COURSES:

1)     Students will be able to identify key concepts in the arts, sciences, humanities, or mathematics to provide a broad perspective.

2)     Students will be able to demonstrate effective written communication skills.

LEARNING OUTCOMES FOR THIS COURSE:

1)     Students will demonstrate a basic understanding of the multi-dimensional aspects of calculus and its applications.

2)     Students will learn to work with parametric representations of curves and surfaces and be able to do standard calculations using them.

3)     Students will be able to do routine calculations of partial derivatives.

4)     Students will be able to apply partial derivatives to various applied problems such as working with Lagrange multipliers.

5)     Students will be able to solve multiple integration problems and their applications.

6)     Students will learn the basics of vector analysis and be able to apply Green’s, Stokes’, and the divergence theorems.