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[quote=Anonymous]I looked at the Blair Magnet Math courses: https://mbhs.edu/departments/magnet/courses_math.php

I can tell from the course description that these are especially basic variants of the college level equivalent. To compare:

Blair-

Linear Algebra is a field that deals with vectors, matrices, and spaces. You may think that these concepts sounds way too abstract, but in fact linear algebra may be one of the most applicable and foundational fields in mathematics. Besides being used to formalize a variety of fundamental ideas in mathematics, linear algebra is connected to a variety of computer applications, from computer graphics to network algorithms. In fact, the basic ideas used in modern search engines like Google are rooted in linear algebra.

Complex Analysis- You may know that complex numbers arise when you play around too much with square roots and negative numbers. However, complex numbers aren't just curiosities resulting from bad mathematical behavior. The most advanced calculus class offered in the Magnet, Complex Analysis takes the concepts from the first two Analysis courses a step further by pushing them into the exotic realm of the complex plane. In this course you'll study some of the concepts that are being applied to the hottest problems in mathematics and physics today, such as the Riemann Hypothesis and string theory.

College Level-

Linear Algebra. Theory and applications of linearity, including vectors, matrices, systems of linear equations, dot and cross products, determinants, linear transformations in Euclidean space, linear independence, bases, eigenvalues, eigenvectors, and diagonalization.

Complex Analysis.  In this course we will apply familiar concepts such as line integrals and differentiability to complex-valued functions. We will investigate the Cauchy-Riemann equations, and study holomorphic and meromorphic functions via Taylor and Laurent series. Cauchy's theorem and integral formula along with the calculus of residues will be featured. We will also introduce conformal mappings and harmonic functions.

They're nowhere near the same level in depth. Good as a stepping stone, but most of the students who take the course will have to take it in college again. [/quote]

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