The topics studied will include techniques and applications of set theory, counting techniques, matrices, linear systems, statistics and probability, and linear programming.
Topics include polynomial, rational, exponential, logarithmic and trigonometric functions, as well as conic sections.
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 statistics, voting methods, and logic. No prior knowledge of any of these topics is assumed.
The principles of mathematics relating to architecture and building design. Topics include plane and solid geometry, coordinate systems, vectors, isometrics, the golden ratio, conic sections, tilings, fractals, and concepts in topology.
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. Prerequisites: algebra and trigonometry. Prerequisite: C or better in MATH 115, or passing the math placement exam for calculus.
Limits, continuity, differentiation, and applications, including related rates and extremum. Prerequisites: algebra and trigonometry. Prerequisite: C or better in MATH 115, or passing the math placement exam for calculus.
Integration, applications of the definite integral, logarithmic, exponential, hyperbolic, inverse hyperbolic, and trigonometric functions. Prerequisite: MATH 201.
Improper integrals, indeterminate forms, infinite series, polar coordinates, parametric equations, and three-dimensional space. Prerequisite: MATH 202.
Vector-valued functions, partial derivatives, multiple integrals, and vector calculus. Prerequisite: MATH 203.
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.
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.
Acquaints the student with elements of probability, Bayes theorem, measures of central tendency, dispersion, probability distribution, hypothesis tests, nonparametric tests, linear regression, and correlation.
A transition from lower level mathematics courses to higher level courses. Emphasis will be placed on correct reading, understanding, and writing of proofs. Topics will include logic, direct proofs, proof by contra-positive, proof by contradiction, equivalence relations, functions, and mathematical induction.
The study of differential equations and first-order linear systems through a combination of analytical, numerical, and qualitative techniques. Topics include the standard analytical methods of solving nth-order linear equations, eigenvalues and eigenvectors for systems, phase-plane trajectories, the Laplace transform, and numerical approximations. Technology is used in conjunction with theory to approximate and analyze solutions. Modeling physical phenomena is emphasized through a rich variety of applications. Prerequisite: MATH 204, MATH 271.
Provides an introduction to groups, rings, ideals, integral domains and fields. Prerequisite: MATH 202, MATH 271.
Deals with vector spaces, matrices, linear transformations, canonical forms and determinants. Must be taken with MATH 322L. Prerequisite: MATH 202, MATH 271.
Laboratory to accompany MATH 322 in order to use a computer algebra system (such as Mathematica or Maple) to provide visual re-enforcement of central concepts. Must be taken with MATH 322.
An introduction to basic number theory: properties of the integers, congruence, Fermat's and Wilson's Theorem, number theoretic functions, Diophantine equations and primes. Prerequisite: MATH 202, MATH 271.
The study of axiomatic systems and the notions of proof and consistency. Examines finite, elliptical, and hyperbolic geometries, and advanced topics in Euclidean Geometry. Software is used to enhance exploration and discovery of theorems. Prerequisite: MATH 202, MATH 271.
See EDUC 411.
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. Prerequisite: MATH 202, MATH 271.
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, MATH 271.
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 271.
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, MATH 271.
Definition, formulation, solution, documentation, and testing of a problem under close faculty supervision.
Deals with probability distributions, limit theorems, estimation, hypothesis tests, correlation and regression, analysis of variance. Prerequisites: MATH 204, 220.
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.
Special topics in mathematics.
For more information, contact Dr. Chaogui Zhang at firstname.lastname@example.org or (570) 961-4598.