MATH2330

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

• Explai 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.