MATH.2310: Calculus III

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MATH.2310: Calculus III
Kennedy College of Sciences, UMass Lowell

Extends the concepts of Calculus I and II that deal with functions of a single variable to multi-variable functions, vector-valued functions and vector fields. Vectors and vector-valued functions, the dot and cross products, curves in space and the calculus of vector-valued functions. Multi-variable functions, limits, continuity, and differentiation. Partial derivatives, directional derivatives, the gradient, Lagrange multipliers and optimization. Double and triple integrals in Cartesian, polar and spherical coordinates. Vector fields and the fundamental theorems of vector calculus developed, line and surface integrals, Green's theorem, Stokes's theorem, and the divergence theorem.

Course Objectives

Students who successfully complete this course will:

  • Understand and articulate the impact of innovation and entrepreneurship on economic development;
  • Develop an awareness and understanding of entrepreneurship and the entrepreneurial process;
  • Integrate entrepreneurial thinking and problem-solving into their academic and professional aspirations;
  • Articulate the different pathways to entrepreneurship including lifestyle businesses, high-tech/high growth entrepreneurship, corporate entrepreneurship and social entrepreneurship
  • Demonstrate an understanding of how to identify and evaluate new venture opportunities;
  • Demonstrate application of the fundamental skills and tools that are helpful in converting an opportunity to a new venture.