South Dakota School of Mines & Technology

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South Dakota School of Mines & Technology

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(4-0) 4 credits. Prerequisite: MATH 125 completed with a minimum grade of “C.” A continuation of the study of calculus, including an introduction to vectors, vector calculus, partial derivatives, and multiple integrals.

A student who successfully completes this course should be able to:

- analyze position, velocity, and acceleration in two or three dimensions using the calculus of vector valued functions
- use partial derivatives to calculate rates of change of multivariate functions
- use multiple integrals to compute the volume, mass, center of mass, and related quantities for multivariate functions
- compute line integrals, including those representing work done by a variable force in a vector field

This course meets the BOR mandated GenEd Goal #5: Students will understand and apply fundamental mathematical processes and reasoning.

As a result of taking courses meeting this goal, students will:

- Use mathematical symbols and mathematical structure to model and solve real world problems.
- Assessment- Students will identify, interpret, and correctly apply standard mathematics symbols to solve problems requiring the partial derivative.
- Assessment- Students will identify, interpret, and correctly apply standard mathematics symbols to solve problems requiring multiple integrals.
- Assessment- Students will identify, interpret, and correctly apply standard mathematics symbols to solve problems requiring vectors and vector functions.

- Demonstrate appropriate communication skills related to mathematical terms
- Assessment- Students will correctly use functional notation of algebra, trigonometry, and calculus.

- Demonstrate the correct use of quantifiable measurements of real world situations
- Assessment - Students will apply their knowledge of the integral in applications such as area, volume, moments, work, arc length, and surface area.
- Assessment - Students will apply their knowledge of the derivative in applications such as rates of change, linear approximations, optimization, velocity, and acceleration.

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