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MATH2330

Student Learning Outcomes

Meets MN Transfer Curriculum Goal Area 4 - Mathematical/Logical Reasoning. This course is designed for students who have sound skills in single-variable calculus. The primary goal of this course is to help individuals acquire a solid foundation in multivariable and vector calculus. Students will apply skills to solve authentic real-world problems to enhance students understanding of higher-level concepts. Student Learning Outcomes
  • Explain the concepts of limits and continuity for real-valued functions of two or more variables.
  • Find derivatives of vector-valued functions and use those derivatives to describe an object's motion.
  • Use partial derivatives and/or Lagrange multipliers to locate any extreme values and saddle points of a function of several variables.
  • Evaluate iterated integrals using rectangular, cylindrical, and spherical coordinate systems.
  • Use triple integrals to solve problems such as calculating volume, center of mass, moments of inertia, and the expected value of a continuous random variable.
  • Recognize vector fields. Compute and interpret curl, divergence, and flux.
  • Use line integrals to calculate work done by a force field in moving an object along a curve.
  • State and apply the Fundamental Theorem of Line Integrals, Green's Theorem, Stokes? Theorem, and the Divergence Theorem.
  • Compare and contrast the generalizations of the Fundamental Theorem of Calculus.
  • Compute gradients and directional derivatives and apply them to finding tangent spaces and normal lines.
  • Communicate mathematical understanding to.
  • Apply calculus and algebraic principles appropriately to applications.

Prerequisites

Please see eServices for section availability and current pre-req/test score requirements for this course.
Any SCTCC student with a disability that impacts their education or ability to fully participate on campus is eligible to apply for Accessibility Services.
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