Marywood University Department of Mathematics Scranton, Pennsylvania

Mathematics Course Descriptions

 

MATH 110 Mathematics for Contemporary Society (3)

The topics studied will include techniques and applications of set theory, counting techniques, matrices, linear systems, statistics and probability, and linear programming.

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MATH 111 Problem-Solving and the Computer (3)

An introduction to computers as a tool in problem-solving, using BASIC as a language. Includes simple programming of problems in algebra or statistics. Draws models from the social and physical sciences. Does not require previous computer experience.

 

MATH 113 Mathematics in Western Culture (3)

Introduces the relationships between mathematics and culture from an historical perspective. Discusses the contributions of mathematics to philosophy, the physical and social sciences, literature and the arts.

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Math 115 Analysis of Functions (Pre-calculus) (3)

Topics include polynomial, rational, exponential, logarithmic and trigonometric functions, as well as conic sections.

Math 120 Mathematics in the Liberal Arts (3)

Designed to implement NCTM curriculum standards with emphasis on problem-solving, patterns and relationships, functions, estimation and mathematical connections to other disciplines: Topics are chosen from this list: functions, mathematical modeling, basic trigonometry, geometry, astronomy, music, elementary probability and statistics and logic. No prior knowledge of any of these topics is assumed.

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Math 141 Programming in C + + (3)

An introduction to advanced software engineering concepts using C + + and structured programming. Rudiments of the language and program optimization are stressed.

Math 170 Applications of Mathematics to Biology (3)

Examines problems in biology through the use of a variety of mathematical tools and models. Topics are chosen from linear, exponential, and logarithmic functions, set theory, linear systems, probability, and an introduction to calculus. Required of all science majors. Prerequisites: algebra and trigonometry.

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Math 201 Calculus with Analytic Geometry I (3)

Limits, continuity, differentiation and applications including related rates and extremum. Prerequisites: algebra and trigonometry.

Math 202 Calculus with Analytic Geometry II (3)

Integration, applications of the definite integral, logarithmic, exponential, hyperbolic, inverse hyperbolic and trigonometric functions. Prerequisite: Math 201.

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Math 203 Calculus with Analytic Geometry III (3)

Improper integrals, indeterminate forms, infinite series, polar coordinates, parametric equations and three-dimensional space. Prerequisite: Math 202.

Math 204 Calculus with Analytic Geometry IV (3)

Vector-valued functions, partial derivatives, multiple integrals and vector calculus. Prerequisite: Math 203.

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Math 216 Statistics for the Behavioral and Social Sciences (3)

Surveys the basic statistical concepts applicable to problems in the behavioral and social sciences. Includes descriptive statistics, regression and correlative, hypothesis testing, nonparametric methods and analysis of variance. Computer software will be utilized for calculations.

Math 219 History of Mathematics (3)

The study of mathematical concepts from arithmetic to calculus in their historical perspective. This study will be supplemented by historical background material, biographies of mathematicians and translations of source manuscripts in which mathematical discoveries were first announced. Attention will be given to the relationship of mathematics to other disciplines. For Mathematics majors and minors.

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Math 220 Introduction to Probability and Statistics (3)

Acquaints the student with elements of probability, Bayes theorem, measures of central tendency, dispersion, probability distribution, hypothesis tests, nonparametric tests, linear regression and correlation.

Math 241 Machine Language with Assembler (3)

Basic principles of machine language programming. Computer organization and representation of numbers, strings, arrays, list structures, all at the machine level. Includes Assembler language. Prerequisite: Math 141.

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Math 311 Differential Equations (3)

The study of first-order differential equations and first-order systems (linear and nonlinear) through a combination of analytical, numerical, and qualitative techniques. Methods include the use of slope fields, vector fields, phase-plane trajectories, the trace-determinant plane, and the Laplace transform. Technology is used in conjunction with theory to approximate and analyze solutions. A rich variety of applications is emphasized.

Math 314 Mathematical Models and Computer Techniques (3)

Designed to use programming as a tool in solving problems in various disciplines. Prerequisites: Math 141, 202.

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Math 321 Abstract Algebra (3)

Provides an introduction to groups, rings, ideals, integral domains and fields. Prerequisite: Math 202.

Math 322 Linear Algebra (2)

Deals with vector spaces, matrices, linear transformations, canonical forms and determinants. Must be taken with Math 322L. Prerequisite: Math 202.

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Math 322L Linear Algebra Lab (1)

Laboratory to accompany MATH 322 in order to use a computer algebra system (such as Mathematica or Maple V) to provide visual re-enforcement of central concepts. Must be taken with Math 322.

Math 323 Theory of Numbers (3)

An introduction to basic number theory: properties of the integers, congruence, Fermat's and Wilson's Theorem, number theoretic functions, diophantine equations and primes.

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Math 324 College Geometry (3)

Studies advanced Euclidean geometry, projective geometry and non-Euclidean geometries.

Math 341 Analysis of Algorithms (3)

Theoretical analysis of various algorithms. Topics to include sorting, searching, selection, matrix multiplication, and multiplication of real numbers. Prerequisite: Math 345.

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Math 344 Operating System Principles (3)

Analysis of the computer operating systems including Batch, Timesharing, and Realtime systems. Topics to include sequential and concurrent processes; processor and storage management; resource protection, processor multiplexing; and handling of interrupts from peripheral devices. Prerequisite: Math 345.

Math 345 Computer Data Structures (3)

A study of the use of a high-level language to implement complex data structures. These include lists, trees, graphs, networks, storage allocations, file structure and information storage and retrieval. Prerequisite: Math 141.

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Math 420 Discrete Mathematics (3)

An introduction to the algebraic concepts, methods and techniques that form the theoretical basis for computer science, including relevant areas of logic, set theory, relations and functions and Boolean algebra.

Math 425 Topology (3)

Introduction to point-set topology at the undergraduate level. Topics include topological spaces, limit points, continuity, connectedness, compactness, separability and the fundamental group. Prerequisite: Math 204.

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Math 430 Real Analysis (3)

An introduction to the analysis of real numbers, variables, and functions. Topics include topology of the real numbers, sequences and series, limits, continuity and uniform continuity, differentiation, the Riemann integral, and sequences of functions. Prerequisite: Math 204.

Math 440 Complex Variables (3)

An introduction to the theory of complex numbers, variables and functions. Topics include transformations and mappings, elementary and analytic functions, complex integration and Cauchy's theorem, Taylor and Laurent expansions, residues, harmonic functions, and conformal mappings. Prerequisite: Math 204.

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Math 447 Special Projects (variable credit)

Definition, formulation, solution, documentation and testing of a problem under close faculty supervision.

Math 456 Mathematical Statistics (3)

Deals with probability distributions, limit theorems, estimation, hypothesis tests, correlation and regression, analysis of variance. Prerequisits: Math 204, 220.

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Math 463 Introduction to Numerical Methods (3)

Deals with solutions to equations, matrix methods, linear systems of equations, matrix inversion, eigenvalue problems, numerical differentiation. Prerequisites: Math 141, 204.

Math 499 Senior Seminar (1)

Analysis of the underlying foundational questions of mathematics including the notions of proof and consistency within a specific mathematical framework. Examination of the considerable impact of mathematics on culture and society from ancient to modern times. Involves student initiated activity in area of choice, according to University policy. Requires approval of chairperson.

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Comments to Dr. Craig M. Johnson, Chairperson, Department of Mathematics: johnsonc@ac.marywood.edu

Copyright © 2001 by Marywood University. All rights reserved.

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