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MATH 292: Selected Topics MATH 299.Directed Studies
1.00 - 4.00 Credits
Pepperdine University
Consent of the divisional chairperson is required.
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MATH 292 - Selected Topics MATH 299.Directed Studies
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MATH 316: Biostatistics
3.00 Credits
Pepperdine University
Statistics for the biological sciences. Random sampling; measures of central tendency; dispersion and variability; probability; normal distribution; hypothesis testing (one-sample, two-sample, and paired-sample) and confidence intervals; multi-sample hypotheses and the one- and two-factor analysis of variance; linear and multiple regression and correlation; other chi-square tests; nonparametric statistics. Prerequisite: MATH 210 or permission of instructor. (GE)
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MATH 317: Statistics and Research Methods Laboratory
1.00 Credits
Pepperdine University
A study of the application of statistics and research methods in the areas of biology, sports medicine, and/or nutrition. The course stresses critical thinking 331 ability, analysis of primary research literature, and application of research methodology and statistics through assignments and course projects. Also emphasized are skills in experimental design, data collection, data reduction, and computer-aided statistical analyses. One two-hour session per week. Co-requisite: MATH 316 or consent of instructor. (RM, PS)
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MATH 330: Linear Algebra
4.00 Credits
Pepperdine University
Introduction to systems of linear equations, matrices, determinants, rank, eigenvalues, eigenvectors, linear independence, vector spaces and subspaces, bases, dimensions, inner products, norms, and linear transformations. Prerequisite: MATH 212 or concurrent enrollment.
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MATH 340: Differential Equations
3.00 Credits
Pepperdine University
A study of ordinary differential equations, including separable, exact, and linear first order differential equations; linear second order and nth order differential equations; systems of equations; and power series methods. Includes discussion of initial value problems and boundary value problems. Also introduces nonlinear differential equations and partial differential equations. Prerequisite: MATH 212 or concurrent enrollment.
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MATH 340 - Differential Equations
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MATH 360: Transition to Abstract Mathematics
4.00 Credits
Pepperdine University
This course is designed to bridge the gap between the usual topics in elementary algebra, geometry, and calculus and the more advanced topics in abstract algebra, geometry, and analysis. Logic, methods of proof, and elementary topics from an advanced point of view will be emphasized in preparation for further mathematical study. Prerequisite: MATH 211. (WI, RM, PS)
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MATH 420: Foundations of Mathematics
4.00 Credits
Pepperdine University
The nature of mathematical thought, essentials of logical reasoning, postulational concepts and methods, Euclidean and non-Euclidean geometries, elementary number theoretic concepts are studied. All of these topics are taught from a historical perspective. Prerequisite: MATH 212.
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MATH 420 - Foundations of Mathematics
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MATH 430: Algebraic Structures I
4.00 Credits
Pepperdine University
The fundamental properties of groups and subgroups, permutation groups, rings, principal rings, entire rings, polynomials, fields and field extensions, algebraic closure, and Galois theory are studied. Advanced linear algebra (Jordan canonical form, diagonalization of symmetric operators). Prerequisites: MATH 330 and MATH 360.
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MATH 430 - Algebraic Structures I
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MATH 431: Algebraic Structures II
4.00 Credits
Pepperdine University
The fundamental properties of groups and subgroups, permutation groups, rings, principal rings, entire rings, polynomials, fields and field extensions, algebraic closure, and Galois theory are studied. Advanced linear algebra (Jordan canonical form, diagonalization of symmetric operators). Prerequisite: MATH 430.
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MATH 460: Automata Theory
3.00 Credits
Pepperdine University
Theoretical models of computation. Finite automata Cregular expressions, Kleene's theorem, regular and nonregular languages. Pushdown automat a -context-free grammars, Chomsky normal form, parsing. Turing machin es the halting problem. NP-complete problems. Prerequisite: MATH 221 or MATH 360.
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MATH 460 - Automata Theory
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