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MATH 301: Linear Algebra
4.00 Credits
Boise State University
Matrix algebra, determinants, vector spaces, and linear transformations. PREREQ: MATH 275, or both MATH 175 and MATH 187.
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MATH 305: Abstract Algebra I
3.00 Credits
Boise State University
Introduction to abstract algebraic systems - their motivation, definitions, and basic properties. Primary emphasis is on group theory (permutation and cyclic groups, subgroups, homomorphism, quotient groups), followed by a brief survey of rings, integral domains, and fields. PREREQ: MATH 187 and MATH 301.
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MATH 306: Number Theory
3.00 Credits
Boise State University
Diophantine equations, residues, quadratic reciprocity, and continued fractions. PREREQ: MATH 175 and MATH 187.
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MATH 307: Cryptology I. Compsci
4.00 Credits
Boise State University
Introduction to modular arithmetic. The study of: the RSA, El-Gamal, Diffie-Hellman, and Blum-Blum-Shrub public key cryptosystems, authentication and digital signatures, anonymity protocols. Protocol failures for these systems. Cross-listed with COMPSCI 367 and COMPSCI 567; credit may be received for only one of these three courses. PREREQ: MATH 170, and MATH 187.
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MATH 307 - Cryptology I. Compsci
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MATH 308: Cryptology II. Compsci
4.00 Credits
Boise State University
Introduction to groups, fields, polynomial rings and Lucas numbers. The study of: the Elliptic Curve, LUC, and NTRU public keys cryptosystems, authentication and digital signatures, anonymity protocols. Cross-listed with MATH 308 and COMPSCI 368/568; credit may be received for only one of these three courses. PREREQ: MATH 170, and MATH 187.
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MATH 311: Foundations of Geometry
3.00 Credits
Boise State University
Euclidean, non-Euclidean, and projective geometries from an axiomatic point of view. PREREQ: MATH 175 and MATH 187.
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MATH 311 - Foundations of Geometry
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MATH 314: Foundations of Analysis
3.00 Credits
Boise State University
The real number system, completeness and compactness, sequences, continuity, foundations of the calculus. PREREQ: MATH 175 and MATH 187.
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MATH 333: Differential Equations With Matrix Theory
4.00 Credits
Boise State University
Use of differential equations to model phenomena in sciences and engineering. Solution of differential equations via analytic, qualitative and numerical techniques. Linear and nonlinear systems of differential equations. Introduction to matrix algebra, determinants, eigenvalues, and solutions of linear systems. Laplace transforms. PREREQ: MATH 175.
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MATH 360: Engineering Statistics
3.00 Credits
Boise State University
Calculus-based survey of statistical techniques used in engineering. Data collection and organization, basic probability distributions, sampling, confidence intervals, hypothesis testing, process control, simple regression techniques, design of experiments. Emphasis on examples and applications to engineering, including product reliability, robust design and quality control. PREREQ: MATH 275.
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MATH 361: Probability And Statistics I
4.00 Credits
Boise State University
Calculus-based treatment of probability theory, random variables, distributions, conditional probability, central limit theorem, descriptive statistics, regression and correlation, tests of hypotheses, design of experiments, and sampling surveys. Differs from MATH 360 by providing more thorough coverage of theoretical foundations and wider variety of applications, which are drawn from natural and social sciences as well as engineering. PREREQ: MATH 175.
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