An introduction to proofs and the axiomatic methods through a study of the vector space axioms. Linear analytic geometry. Linear dependence and independence, subspaces, basis. Inner products. Matrix ...

Linear Algebra offers a unified treatment of both matrix-oriented ... Major topics include singular value decomposition, the spectral theorem, linear systems of equations, vector spaces, linear maps, ...

Postulate A single point determines a unique zero-dimensional ( vector) space. Usually, a little black point or spot is used as an intuitively geometric model of zero-dimensional space. Notice that ...

Linear Algebra and Geometry begins with the straightforward ideas of real and complex numbers and their algebraic properties. Further, it introduces vectors and matrices, and develops the abstract ...

Seven approved 5-unit upper-division courses in mathematics (CSCI 162 also permitted), which must include at least one course in analysis (MATH 102, 105, or 153), at least one course in algebra (MATH ...

An introduction to topics in linear algebra, including systems of linear equations, matrices, determinants, vectors, vector spaces, linear transformations, eigenvalues, and eigenvectors. An ...

Properties of the real numbers, infimum and supremum of sets. Numerical sequences and series. Limits of functions, continuous functions, intermediate value theorem, uniform continuity. Differentiation ...

One exam covers Mathematical Analysis (MA 640 and MA 641). The other exam covers Linear Algebra and Numerical Linear Algebra (MA 631 and MA 660). Each exam is three and a half hours long. Master's ...

Vector spaces, linear transformation, matrix representation, inner product spaces, isometries, least squares, generalised inverse, eigen theory, quadratic forms, norms, numerical methods. The fourth ...