Multi-Dimensional Engineering Analysis

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Students will apply knowledge of mathematics, science, and engineering design to solve problems.
Determine the equations of lines and surfaces using vectors and 3D graphing
Apply dot and cross products of vectors to express equations of planes, parallelism, perpendicularity, angles
Describe the role of vectors in engineering applications, su
Students will learn to evaluate matrices and apply their properties to solve engineering problems.
Calculate determinants of matrices
Express systems of linear equations in matrix equation form.
Use Gaussian elimination to compute solution sets of linear systems.
Students will investigate functions of two and three independent variables to model engineering systems.
Compute limits of scalar and vector-valued functions.
Identify and graph level curves of multivariate functions.
Calculate regions of continuity of such functions.
Students will use visual and written communication to express basic design elements in the appropriate mathematics notation.
Demonstrate fundamentals of technical sketching using computer-generated visuals by using the appropriate mathematics scale.
Present a technical design, using computer-generated model, for an assigned design project utilizing the appropriate scientific units (US standards and SI units)

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