 # Courses

## Mathematics Courses

MATH B101 - Experiential Mathematics and Computation (3) (Prereq. Mathematics Placement Exam and two years of high school algebra or equivalent) Mathematics application and appreciation in algebra, geometry, probability and statistics. Modeling and computation in practical applications. Foundational topics are chosen from: Number and Measurement Systems, Symbolic Relationships, Data Description or Analysis, Geometry, Uncertainty, Reasoning, and the Mathematics of Finance. This course serves as a prerequisite for no other BMTH courses.

MATH B111 -  College Algebra (3) (Prereq: qualification through placement) Basic college algebra; linear and quadratic equations, inequalities, functions and graphs of functions, exponential and logarithmic functions, systems of equations. Credit may not be received for both MATH B111 and B111L.

MATH B111L - Intensive College Algebra (4) (Prereq: qualification through placement) Basic college algebra; linear and quadratic equations, inequalities, functions and graphs of functions, exponential and logarithmic functions, systems of equations. Course taught in intensive 3 hours and 45 minute per week format. Credit may not be received for both MATH B111L and B111.

MATH B115 - Precalculus Mathematics(4) (Prereq: qualification through placement or a grade of C or better in 111 or 111L) Topics in algebra and trigonometry specifically needed for BMTH 141, 142, 240. Polynomial, rational, inverse, logarithmic, exponential functions; circular functions; analytic trigonometry.

MATH B122 - Calculus for Business Administration and Social Sciences (3)(Prereq: qualification through placement or a grade of C or better in BMTH 111/111L or consent) Derivatives and integrals of elementary algebraic, exponential and logarithmic functions. Maxima, minima, rate of change, and area under a curve. Applications include marginality and elasticity of demand.

MATH B141 - Calculus I (4) (Prereq: qualification through placement or a grade of C or better in BMTH 115) Introduction to fundamental concepts and theorems of limits, continuity, and derivatives; rates of change; differentiation rules for algebraic and transcendental functions, including the chain rule; applications of derivatives; introduction to integration, including the Fundamental Theorem of Calculus and u-substitution; areas between curves.

MATH B142 - Calculus II (4) (Prereq: qualification through placement or a grade of C or better in MATH B141) Techniques of integration, applications of the integral, L”Hospital’s Rule, improper integrals; sequences and series of real numbers, power and Taylor series, introduction to polar coordinates.

MATH B172 - Mathematical Modeling for the Life Sciences (3) Modeling with difference equations; vectors, trigonometry, polar coordinates, matrices, eigenvalues and eigenvectors; addition and multiplication in combinatorics, permutations, combinations, introduction to probability theory (discrete, continuous); techniques of integration, symmetry. Credit may not be received for both BMTH 172 and either BMTH 170 or 174.

MATH B174 - Discrete Mathematics for Computer Science (3) (Prereq: qualification through placement or a grade of C or better in BMTH 115) Induction, complexity, elementary counting, combinations and permutations, recursion and recurrence relations, graphs and trees; discussion of the design and analysis of algorithms— with emphasis on sorting and searching.

MATH B221 - Basic Concepts of Elementary Mathematics (3) (Prerequisite: Qualification through placement or a grade of C or better in MATH B111, B111L, or B115) The meaning of number, fudametal opertions of arithmetic, the structure of the real number system and its subsyems, elementary number theory. Open only to students in elementary or early childhood teacher certification.

MATH B222 - Basic Concepts of Elementary Mathematics II (3) (Prereq: MATH B221) Informal geometry and basic concepts of algebra. Open only to students in elementary or early childhood teacher certification.

MATH B230 - Linear Algebra (3) (Prereq: MATH B141 or consent of instructor) Linear systems and matrices, vector spaces, linear independence, rank of a matrix, linear transformations, determinants, introduction to eigenvalues and eigenvectors, diagonalization and applications.

MATH B240 - Calculus III (4) (Prereq: qualification through placement or a grade of C or better in MATH B142) Parametric equations, polar coordinates, three dimensional analytic geometry, cylindrical and spherical coordinates, vector functions, functions of several variables, partial differentiation, max-min, Lagrange multipliers, multiple integrals and applications, integral vector calculus.

MATH B242 - Elementary Differential Equations (3) (Prereq: qualification through placement or a grade of C or better in BMTH 142) Ordinary differential equations of first order, higher order linear equations, Laplace transform methods, series methods; numerical solution of differential equations. Applications to physical sciences and engineering.

MATH B300 - Introduction to Proof  (3) (Prerequisite: Grade of 'C' or better in MATH B142) Introduction to the language and nature of reasoning, structure, and technique as they apply to advanced mathematics and proofs. Topics include logic, set theory, cardinality, and methods of proof (including induction).

MATH B331 - Foundations of Geometry (3) (Prerequisite: Grade of 'C' or better in MATH B300) The study of geometry as a logical system based upon postulates and undefined terms. The fundamental concepts and relations of Euclidean geometry developed rigorously on the basis of a set of postulates. Some topics from non-Euclidean geometry.

MATH B399 - Independent Study (1-9). (Prerequisite: Contract approval is required).

MATH B401 - History of Mathematics (3) (Prerequisite: C or better in MATH B122 or MATH B141) A study of the historical development of mathematics focusing on conceptual milestones.

MATH B410 - Abstract Algebra I (3) (Prerequisite: A grade of C or better in both MATH B230 and MATH B300 or consent of the department) An introduction to algebraic structures. Introduction to group theory including subgroups, quotient groups, homomorphisms; introduction to rings including ideals, quotient rings, polynomial rings and fields of fractions.

MATH B411 - Abstract Algebra II (3) (Prerequisite: A grade of C or better in MATH B410) A continuation of studies in Algebra. An introduction to modules and field theory including vector spaces, algebras and free abelian groups; introduction to field theory including algebraic extension, Galois theory and finite fields.

MATH B427 - Numerical Analysis (3) (Prerequisite: C or better in CSCI B280, or in MATH B242 and MATH B230, or permission of the instructor) Interpolation and approximation of functions; solution of algebraic equations; numerical differentiation and integration; numerical solutions of ordinary differential equations and boundary value problems; computer implementation of algorithms.

MATH B450 - Analysis I (3) (Prerequisite: C or better in MATH B300 or permission of the instructor) A rigorous treatment of topics introduced in elementary calculus and more advanced topics basic to the study of real analysis.

MATH B451 - Analysis II (3) (Prerequisite: A grade of C or better in MATH B450 or consent of the department) An introduction to the theory of several variables calculus: convergence in Euclidean spaces, functions on Euclidean spaces, differentiation in several variables, integration in several variables.

MATH B460 – Topology (3). (Prerequisite: grade of ‘C’ or better in MATH B300 or consent of instructor) Topological spaces and homeomorphisms; separability; compactness; connectedness; completeness; metrizability; introduction to homotopy theory.

MATH B480 - Senior Seminar (3) A review of current literature in specified subject areas involving student presentations. Content varies and will be announced in the schedule of classes by suffix and title.

STAT B201 - Elementary Statistics (3) (Prereq: MATH B101 or higher or consent of instructor) An introductory course in the fundamentals of modern statistical methods. Topics include descriptive statistics, normal distributions, random sampling, statistical studies and ethics, probability, confidence intervals, tests of hypothesis, simple linear regression and correlation.

STAT B340 - Introduction to Probabilty and Statistics (3) (Prereq: MATH B240 or consent.) Set theory; distributions of both discrete and continuous random variables; moments (including moment generating and characteristic functions); limit theorems; multivariate distributions including marginal and conditional distributions; confidence intervals and hypothesis tests.