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A firm grasp of the mathematical subjects most relevant to undergraduate students in science and technology studies: functions, equations, differentiation and integration. A basic understanding of the following physics topics: mechanics, electricity and magnetism, and waves. Confidence in using a more academic approach to the study of math and physics. The ability to apply this knowledge to various engineering contexts.
Prepare for introductory calculus courses by reviewing functions, equations, differentiation, integration and analytic geometry. Learn the mathematical and computational basics for applying optimization successfully. Master the different formulations and the important concepts behind their solution methods. Learn to implement and solve optimization problems through the practical exercises.
Mathematical thinking is not the same as doing mathematics –at least not as mathematics is typically presented in our school system. The key to success in school math is to learn to think inside-the-box. In contrast, a key feature of mathematical thinking is thinking outside-the-box –a valuable ability in today’s world. This course helps to develop that crucial way of thinking.
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Evaluate mathematical expressions to compute quantities that deal with linear systems. Construct an LU factorization of a matrix and use it to solve linear systems of equations. Apply matrix algebra and linear transformations to solve and analyze problems in computer graphics and economics. Introduction to Mathematical Thinking
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