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MATH 100 PRE-CALCULUS. Basic set theory. Functions and their graphs. Linear and quadratic equations and systems. Trigonometry. Cartesian Coordinates. Congruence transformations in the plane. Preparation for Calculus
3 credits
MATH 102 MATHEMATICAL MODELING (CORE). Communication through graphs. Linear, quadratic, exponential and logarithmic functions. Data analysis and modeling. Optionally, introduction to Statistics, Quality of fit.
3 credits
MATH 107 – COMPUTATIONAL MATH WITH SPREADSHEETS (CORE). General computer concepts and important applications of numerical evaluation of formulas and statistical, logical, mathematical, financial, date-time, and database functions in the environment of separate and related spreadsheets.
3 credits
MATH 118 – INTRODUCTION TO STATISTICS (CORE). Communicating with Graphs. Data Analysis and Sample statistics. Sampling methods. Probability. Introduction to Combinatorics. Normal Distribution.
3 credits
MATH 119 – STATISTICS (CORE). Communicating with Graphs. Data Analysis and Sample statistics. Sampling methods. Probability. Combinatorics. Normal Distribution. Hypothesis testing. Optionally, Monte Carlo Simulation.
3 credits
MATH 131 - CALCULUS I. Real functions of a single real variable: limits, continuity, derivatives, integrals, Fundamental Theorem of Calculus. Prerequisite: Pre-Calculus or approval of Department chairperson.
4 credits
MATH 132 - CALCULUS II. Techniques of Integration. Transcendental functions. Optimization. Convexity and Concavity. Improper integrals. Sequences and series, convergence criteria. Taylor series. Applications in physics. Prerequisite -Calculus I.
4 credits
MATH 222 – MATHEMATICS FOR ELEMENTARY EDUCATION. Theory and application of arithmetic, algebra, geometry, and probability at the primary school level. This course is exclusively for students pursuing a certification in elementary school education; it is a co-requisite of EDUC 322.
3 credits
MATH 231 - CALCULUS III. Vectors, vector operations, dot product, cross product. Vector valued functions, continuity, partial derivatives. Gradient, tangent plane, total derivative. Classification of quadratic surfaces. Multiple integrals. Prerequisite: Calculus II.
3 credits
MATH 241 – LINEAR ALGEBRA I. The first part of a two semester sequence. Linear equations and matrices, vector spaces, subspaces, linear independence, bases, dimension, inner product, linear transformations, eigen values and eigen vectors, orthogonal matrices, diagonalization. Prerequisite: Calculus II
3 credits
MATH 242 –LINEAR ALGEBRA II. The second part of a two semester sequence. A continuation of topics in Linear Algebra, with emphasis on orthogonality, inner product spaces, eigenvalues and eigenvectors, canonical forms, quadratic forms. Numerical Methods. Prerequisites: Calculus III and Linear Algebra I
3 credits
MATH 255 – DIFFERENTIAL EQUATIONS. Ordinary differential equations of first and second order: exact solutions and numerical methods, use of mathematical software. Laplace transforms. Applications in physics, chemistry, biology. Prerequisite: Calculus III.
3 credits
MATH 261 –SYMBOLIC COMPUTING. Concepts and practical use of a Computer Algebra System such as Maple: Data types and control structures. Two- and three dimensional plotting. Symbolic computing of solutions to selected problems in algebra and analysis. Contrasting exact and numerical solutions.
3 credits
MATH 262 –NUMERICAL COMPUTING. Programming constructs and data structures for a programming language suitable for compute intensive applications, such as C++. Development, implementation, and debugging of algorithms for selected computational problems on workstations and clusters. Prerequisite: Symbolic Computing or permission of the Department chairperson.
3 credits
MATH 311 – PROBABILITY DISTRIBUTIONS & STATISTICAL INFERENCE. Random variables. Discrete and Continuous Probability Distributions (Binomial, Poisson, Normal, T). Statistical moments, point estimation, interval estimation. Hypothesis Testing. Optionally, Analysis of Variance and Covariance, Simulation, Introduction to Experimental Design. Prerequisite: Calculus I.
3 credits
MATH 321 –INTRODUCTION TO HIGHER GEOMETRY. Euclidean, Non-Euclidean, Axiomatic Geometry. Optionally, analytic geometry of conic sections. Projective Geometry. Prerequisite: Calculus III.
3 credits
MATH 331 – ANALYSIS. Calculus of a single real variable, with emphasis on proofs. Axiomatic foundation of real number system. Rigorous development of Riemann integration. Optionally, Introduction to theory of measure, Fourier analysis. Prerequisites: Calculus III and Linear Algebra I
3 credits
MATH 341 –ABSTRACT ALGEBRA I. The first part of a two semester sequence. An introduction to algebraic structures with an emphasis on groups, normal subgroups, cosets, Lagrange’s Theorem, and the fundamental homomorphism theorems. Prerequisites: Linear Algebra I.
3 credits
MATH 342 – ABSTRACT ALGEBRA II. The second part of a two semester sequence. Further study of algebraic structures, such as rings, integral domains, fields. The homomorphism theorem and its applications. Prerequisites: Abstract Algebra I.
3 credits
MATH 431 – VECTOR CALCULUS. Calculus for vector functions. Line and surface integrals. Theorems of Gauss, Green, and Stokes. Applications in electrostatics, electrodynamics, fluid dynamics. Prerequisite: Calculus III.
3 credits
MATH 453 –COMPLEX FUNCTIONS (ELECTIVE). Complex plane and elementary complex functions. Analytic functions, Cauchy-Riemann equations, and Cauchy integral theorem. Taylor series, Laurent series, singularities, zeroes, and calculus of residues. Conformal mapping and its applications. Prerequisite: Analysis.
3 credits
MATH 455 – PARTIAL DIFFERENTIAL EQUATIONS (ELECTIVE). Classification of second-order linear partial differential equations. The method of separation of variables, the method of Fourier series, and the method of integral transforms. General solutions, initial problems, boundary problems, and initial-boundary value problems. Prerequisite: Differential equations.
3 credits
MATH 465 – TOPICS IN MATHEMATICS (ELECTIVE). A special topic will be offered when demand warrants. Participation requires permission by department chairperson.
3 credits
MATH 469 –INDEPENDENT STUDY (ELECTIVE). Independent study and/or research under faculty guidance. Requires approval of chair person.
3 credits
MATH 469 – Independent Study (elective)
Independent study and/or research under faculty guidance. Requires approval of chairperson. 3 credits