12/20/2023 0 Comments Honors calculus symbols and equationsThe course stresses careful mathematical definitions and emphasizes the proofs of the standard theorems of the subject. Official course description: A comprehensive treatment of groups, polynomials, rings, homomorphisms, isomorphism theorems, field theory, and Galois theory. MATH 30810 (Honors Algebra III) (offered every fall) Official course description: A comprehensive treatment of vector spaces, linear transformations, inner products, determinants, eigenvalues, tensor and exterior algebras, spectral decompositions of finite-dimensional symmetric operators, and canonical forms of matrices. MATH 20820 (Honors Algebra II) (offered every spring) Algebra sequence MATH 20810 (Honors Algebra I) (offered every fall) Topics include functions of several variables, the inverse function theorem, partial derivatives, multiple integrals, line integrals, surface integrals, Stokes' theorem, an introduction to ordinary differential equations and applications. Official course description: A rigorous course in differential and integral calculus of several variables. MATH 20860 (Honors Calculus IV) (offered every spring) MATH 20850 (Honors Calculus III) (offered every fall) NB: this course should not be confused with MATH 10460, Honors Mathematics II, which is associated with the Glynn Family Honors Program. Topics include an axiomatic formulation of the real numbers, mathematical induction, infima and suprema, functions, continuity, derivatives, integrals, infinite sequences and series, transcendental functions and their inverses, and applications. Official course description: A rigorous course in differential and integral calculus of one variable. MATH 10860 (Honors Calculus II) (offered every spring) NB: this course should not be confused with MATH 10450, Honors Mathematics I, which is associated with the Glynn Family Honors Program. Calculus sequence MATH 10850 (Honors Calculus I) (offered every fall) Here is a detailed description of each of the honors courses. A typical sequence of courses taken by honors students can be found in the advising handbook (pages 13-14).
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