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MATH 110A: Modern Algebra
3.00 Credits
California State University-Sacramento
First half of a one-year introductory course in algebraic concepts. Topics include: groups, subgroups, properties of groups, permutation groups, factor groups, homomorphism theorems. Prerequisite: MATH 108. Graded: Graded Student. Units: 3.0
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MATH 110A - Modern Algebra
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MATH 110B: Modern Algebra
3.00 Credits
California State University-Sacramento
Note: Topics include: rings and fields. Applications may be selected from lattice, machine, and coding theories. Prerequisite: MATH 110A. Graded: Graded Student. Units: 3.0
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MATH 110B - Modern Algebra
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MATH 117: Linear Algebra
3.00 Credits
California State University-Sacramento
Abstract linear spaces and linear transformations; invariant subspaces; canonical forms. Prerequisite: MATH 110A. Graded: Graded Student. Units: 3.0
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MATH 117 - Linear Algebra
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MATH 121: College Geometry
3.00 Credits
California State University-Sacramento
Study of the axioms and theorems of Euclidean geometry. A comparison of several geometry axiom systems and their theorems, including those of some non-Euclidean and finite geometries. Prerequisite: MATH 31; MATH 32 or MATH 35. Graded: Graded Student. Units: 3.0
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MATH 121 - College Geometry
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MATH 130A: Functions of a Real Variable
3.00 Credits
California State University-Sacramento
First half of a one-year upper division course in functions of a real variable. The first semester will consist of a rigorous development of the theory of real-valued sequences and continuity and differentiation for functions of one real variable. Prerequisite: MATH 32 and MATH 108. Graded: Graded Student. Units: 3.0
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MATH 130A - Functions of a Real Variable
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MATH 130B: Functions of a Real Variable
3.00 Credits
California State University-Sacramento
Continuation of MATH 130A. This semester will be devoted to a rigorous development of the theory of Riemann integration, infinite series, and sequences and series of functions. Prerequisite: MATH 130A. Graded: Graded Student. Units: 3.0
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MATH 130B - Functions of a Real Variable
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MATH 134: Functions of a Complex Variable and Applications
3.00 Credits
California State University-Sacramento
Complex plane; analytic functions; integration and Cauchy's Theorem; sequences and series; residue calculus; applications to potential theory; Fourier and Laplace transforms. Prerequisite: MATH 32. Graded: Graded Student. Units: 3.0
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MATH 134 - Functions of a Complex Variable and Applications
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MATH 150: Introduction to Numerical Analysis
3.00 Credits
California State University-Sacramento
Numerical solutions of algebraic and transcendental equations; interpolation, inverse interpolation, finite differences, cubic splines, and applications; numerical differentiation and integration; direct and iterative numerical solutions of linear systems; discrete and continuous least squares approximation. Prerequisite: MATH 31 Graded: Graded Student. Units: 3.0
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MATH 150 - Introduction to Numerical Analysis
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MATH 15H: Honors Mathematical Reasoning
3.00 Credits
California State University-Sacramento
Introduction to the composition and interpretation of mathematical ideas and to the mathematical reasoning necessary to derive results in a variety of mathematical topics. Emphasis on developing concepts and analyzing results. Prerequisite: Open only to Honors students. Graded: Graded Student. Units: 3.0
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MATH 15H - Honors Mathematical Reasoning
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MATH 17: An Introduction to Exploration, Conjecture, and Proof in Mathematics
3.00 Credits
California State University-Sacramento
An Introduction to Exploration, Conjecture, and Proof in Mathematics. Prepares students for MATH 107A and MATH 107B. Students will explore mathematical patterns and relations, formulate conjectures, and prove their conjectures. Topics from number theory, probability and statistics, and geometry. Prerequisite: MATH 9 or three years of high school mathematics which includes two years of algebra and one year of geometry; completion of ELM requirement and the Intermediate Algebra Diagnostic Test. Graded: Graded Student. Units: 3.0
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MATH 17 - An Introduction to Exploration, Conjecture, and Proof in Mathematics
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