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Course Descriptions: Math (MATH)
MATH 102. The Nature of Mathematics (3)
The underlying theme is that mathematics is a vibrant, evolutionary discipline. This evolutionary nature will be observed in detail in the development of the natural and real number systems, Euclidean and non-Euclidean geometries, and probability and statistics. Prerequisite: two years of high school algebra. (GE).
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MATH 103. College Algebra (3)
A study of the real number system, equations and inequalities, exponential and logarithmic functions, complex numbers, matrices, and discrete algebra. The emphasis of this course will be on logical implications and the basic concepts rather than on symbol manipulations.
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MATH 104. Trigonometry (2)
Trigonometric functions, functional relations, solution of right and oblique triangles with applications, identities, inverse functions, equations, and vectors. Prerequisite: MATH 103 or concurrent enrollment.
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MATH 110. Colloquium in Mathematics (1)
Designed to introduce entering math majors to the rich field of study available in mathematics. Required for all math majors during their first year at Pepperdine. One lecture period per week. Cr/NC grading only.
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MATH 210. Analytic Geometry and Calculus I (4)
Differential and integral calculus of certain elementary functions with associated analytic geometry. Includes the treatment of trigonometric functions and basic applications of differentiation and integration. Weekly computer lab. Prerequisite: “C-” or above in MATH 103 and MATH 104 or equivalent, or appropriate SAT or ACT math score (SAT 600 or ACT 27). (GE).
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MATH 211. Analytic Geometry and Calculus II (4)
Methods of integration, infinite series, polar coordinates, parametric equations, and applications. Weekly computer lab. Prerequisite: MATH 210.
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MATH 212. Analytic Geometry and Calculus III (4)
Vectors, solid analytic geometry, partial derivatives, and multiple integration. Prerequisite: MATH 211.
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MATH 214. Calculus for Business and Economics (3)
A study of sets, functions (to include linear, quadratic, cubic, exponential, and logarithmic), limits, derivatives, and integrals. Optimization techniques will be included. Business and economic applications are stressed. Prerequisites: two years of high school algebra and appropriate SAT or ACT math score. (GE).
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MATH 215. Probability and Linear Algebra (3)
A study of multivariable calculus, matrices, systems of linear equations, discrete probability theory, probability of a continuous random variable. Business and economic applications are stressed. Prerequisite: MATH 214.
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MATH 220. Formal Methods (3)
Formal logic as a tool for mathematical proofs. Propositional calculus: Boolean expressions, logic connectives, axioms, and theorems. Predicate calculus: universal and existential quantification, modeling English propositions. Application to computer program specification, verification, and derivation. Prerequisite: “C-” or above in MATH 103 and MATH 104 or equivalent, or appropriate SAT or ACT math score (SAT 600 or ACT 27).
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MATH 221. Discrete Structures (3)
Application of formal methods to discrete analysis–mathematical induction, the correctness of loops, relations and functions, combinatorics, analysis of algorithms. Application of formal methods to the modeling of discrete structures of computer science–sets, binary trees. Prerequisite: MATH 220.
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Math 270. Foundations of Elementary Mathematics I (4)
This course is designed primarily for liberal arts majors, who are multiple-subject classroom teacher candidates, to study the mathematics standards for the Commission on Teacher Credentialing. Taught from a problem-solving perspective, the course content includes sets, set operations, basic concepts of functions, number systems, number theory, and measurement. (GE for liberal arts majors).
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Math 271. Foundations of Elementary Mathematics II (3)
This course includes topics on probability, statistics, geometry, and algebra. The course is part of the liberal arts major in continuing study to meet mathematics standards for the Commission on Teacher Credentialing. (Students who have previous approved math courses or who select the math concentration must check with the liberal arts or math advisor for course credit.).
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MATH 292. Selected Topics (1-4)
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MATH 299. Directed Studies (1-4)
Consent of the divisional chairperson is required.
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MATH 316. Biostatistics (3)
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)
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 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)
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)
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 360. Transition to Abstract Mathematics (4)
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)
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 430. Algebraic Structures I (4)
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 431. Algebraic Structures II (4)
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)
Theoretical models of computation. Finite automata–regular expressions, Kleene's theorem, regular and nonregular languages. Pushdown automata–context-free grammars, Chomsky normal form, parsing. Turing machines–the halting problem. NP-complete problems. Prerequisite: MATH 221 or MATH 360.
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MATH 510. Probability and Statistics II (4)
Studies the theory of probability, discrete and continuous distributions, sampling, analysis of variance, point and interval estimation, limiting distributions, large sampling methods, parametric and nonparametric hypothesis testing, regression and correlation. Prerequisites: MATH 212 and either MATH 360 or MATH 221.
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MATH 511. Probability and Statistics II (4)
Studies the theory of probability, discrete and continuous distributions, sampling, analysis of variance, point and interval estimation, limiting distributions, large sampling methods, parametric and nonparametric hypothesis testing, regression and correlation. Prerequisite: MATH 510.
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MATH 530. Real and Complex Analysis I (4)
A study of properties of real numbers and functions of a real variable, metric spaces (completeness, compactness, connectedness), spaces of continuous functions, Riemann and other types of integration are studied. Analytic functions and the theory of power series, contour integration and Cauchy’s integral formula, the maximum principle, and the calculus of residues. Prerequisites: MATH 212 and MATH 360 or consent of instructor.
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MATH 531. Real and Complex Analysis II (4)
A study of properties of real numbers and functions of a real variable, metric spaces (completeness, compactness, connectedness), spaces of continuous functions, Riemann and other types of integration are studied. Analytic functions and the theory of power series, contour integration and Cauchy’s integral formula, the maximum principle, and the calculus of residues. Prerequisite: MATH 530.
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MATH 540. Dynamical Systems and Chaos Theory (4)
A study of chaotic dynamics as exhibited in nonlinear iterative systems. Includes coverage of fixed and periodic points, period doubling and bifurcation, attractors, transitivity, conjugacy, sensitivity, almost linearity, capacity and Lyapunov dimensions, and fractals. Case studies focus on the Henon and horseshoe maps, Julia and Mandelbrot sets, and the Lorenz system. Prerequisites: MATH 330, MATH 340.
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MATH 590. Research in Mathematics (1-4)
Research in the field of mathematics. May be taken with the consent of a selected faculty member. The student will be required to submit a written research paper to the faculty member.
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MATH 592. Selected Topics (1-4)
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MATH 599. Directed Studies (1-4)
Consent of the instructor and the divisional chairperson is required.
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MATH 99. Intermediate Algebra (4)
A study of the algebraic operations, polynomials, and other functions, first- and second-degree equations, inequalities, and graphs. Designed for students who have had from one to two years of high school algebra, but who are unprepared for MATH 103/104 (College Algebra/Trigonometry) or MATH 214 (Calculus for Business and Economics). Grades are A, B, C, NC. Does not fulfill any requirements for a degree. The course grade is not calculated into the student’s grade point average and does not count toward fulfilling any requirements for a degree, including total units for the degree.
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Although the above are excerpted from the 2008-2009 Seaver catalog this is
not an official binding document. To view the actual catalog visit:
http://seaver.pepperdine.edu/academics/catalog/
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