May 29 - Jun 30
Online Course. Matrix representation of linear equations. Gauss elimination. Vector spaces. Linear independence, basis, and dimension. Orthogonality, projection, least squares approximation; orthogonalization and orthogonal bases. Extension to function spaces. Determinants. Eigenvalues and eigenvectors. Diagonalization. Difference equations and matrix differential equations. Symmetric and Hermitian matrices. Orthogonal and unitary transformations; similarity transformations. Students who plan to continue with upper level math courses should instead consider MATH 225. After MATH 115 or completed AP BC Calculus with a score of a 4 or 5. May not be taken after MATH 225.
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Recommendations from an Expert
Pre-college summer programs are frequently very expensive. For example, Yale’s Young Global Scholars program typically charges $6,500 for two weeks. The selectivity, prestige, and academic rigor of programs can vary quite a bit and don’t always correspond to the academic reputation of the host college. We’ll discuss this more shortly. Contrary to many parents’ optimistic beliefs, with the exception of the most prestigious programs, attending a pre-college summer program probably won’t directly help your child get into college. Don’t spend money just because you want your child to be able to drop “Yale” or “Stanford” in a college app. We’ll go into more detail on this, including some exceptions, a little later.