Undergraduate Courses

Undergraduate

A listing of Undergraduate Courses, with descriptions

(from WVU Undergraduate Catalog 2009-2010)

121. Introductory Concepts of Mathematics. I, II. S

3 hr. (Designed for non-science majors who do not need the techniques of mathematics for other coursework in their programs.) Topics in modern mathematics.

Course website =http://www.math.wvu.edu/121/

Course coordinator: Dr.Michael Mays

126. College Algebra. I, II, S.

3 hr. PR: Two units of algebra, one unit of geometry, and satisfactory performance on departmental placement examination or successful completion of the pre-college algebra workshop or its equivalent. (This course is not open to students who have credit for MATH 129 or its equivalent.) Review of the real number system and algebraic expressions, equations, inequalities, graphing, functions, basic matrix operations and properties systems of equations, polynomials, counting,
and probability. Pre-requisite(s) and/or co-requisite(s) may differ on regional campuses.

Course website = http://iml.math.wvu.edu/Teaching/Math126/tabid/62/Default.aspx

Course coordinator: Dr. Laura Pyzdrowski

128. Plane Trigonometry. I, II, S.

3 hr. PR: A grade of C or better in MATH 126A or MATH 126B, or concurrent enrolment in MATH 126C, or two units of algebra, one unit of geometry, and satisfactory performance on departmental placement examination. (This course is not open to students who have credit for MATH 129 or its equivalent.) Trigonometric functions, identities, vectors, logarithms, complex numbers, and trigonometric equations. Pre-requisite(s) and/or co-requisite(s) may differ on regional campuses.

Course website = http://www.math.wvu.edu/128/

Course coordinator: Dr. Matthew Pascal

129. Pre-Calculus Mathematics.

4 hr. PR: Two units algebra and one unit geometry, and satisfactory performance on departmental placement test. Not open to students who have credit for the equivalent of either MATH 126 or 128.) A treatment
of algebra, analytic geometry, and trigonometry. Pre-requisite(s) and/or co-requisite(s) may differ on regional campuses.

Course website = http://iml.math.wvu.edu/Teaching/Math129/tabid/63/Default.aspx

Course coordinator: Dr. Laura Pyzdrowski

150. Introduction to Calculus. I, II, S.

3 hr. PR: C or better in MATH 126A/B/C or C or better in MATH 129 or satisfactory performance on departmental placement test. For in other disciplines needing calculus for applications. Limits of sequences and functions, continuity, derivatives, and integrals of polynomials, rational functions, and exponential and logarithmic functions, partial derivatives, maxima and minima. Pre-requisite(s) and/or co-requisite(s) may differ on regional campuses.

Course website = http://iml.math.wvu.edu/Teaching/Math150/tabid/57/Default.aspx

Fall 2007 syllabus =

Course coordinator: Dr. Marjorie Darrah

Please not that Math 150 is NOT a prerequisite for Math 155 and does not satisfy the requirements for entry into Math 155.

155. Calculus 1. I, II, S.

4 hr. PR: Two units algebra, one unit geometry, one-half unit trigonometry, and satisfactory performance on departmental placement test or (C or better in MATH 126 and MATH 128) or C or better in MATH 129. Introduction to limits, continuity, derivatives, antiderivatives, definite integrals, and applications of the derivative. No credit for (MATH 155 and MATH 153) or (MATH 155 and MATH 154).

Website for non-engineering sections =

Website for engineering sections = http://www.math.wvu.edu/155/eng/

Course coordinators: Dr. Vicki Sealey (non-engineering)

and Dr. Gary Ganser (engineering)

156. Calculus 2. I, II, S.

4 hr. PR: C or better in MATH 155 or C or better in Math 154. Techniques of integration, applications of the definite integral, polar coordinates, indeterminate forms, infinite series.

Course Website =

http://www.math.wvu.edu/~hjlai/Teaching/Math156_Website/index.htm

Course Coordinator: Dr. Hong-Jian Lai

170. Discrete Mathematics.

3 hr. PR: CS 111 or MATH 155. Traditional mathematics such as functions, relations, set theory, and graph theory; applications to computer science; switching circuits, Boolean algebra, and Karnaugh maps. Equiv. to CS 220.
(Not offered on a regular basis.)

180. Symbolic Logic 2. I, II.

3 hr. PR: PHIL 260. Continuation of PHIL 260, covering relational logic and identity. Additional topics may include alternative methods and systems of logic such as proof trees, axiom systems, alternative operators, modal and many-valued logics, and set theory. (Not offered on a regular basis.)

218. History of Mathematics. I.

3 hr. PR: MATH 155. Development of mathematics through calculus, with emphasis on mathematicaltheories and techniques of each period and their historical evolution. (Not offered on a regular basis.)

222. Numerical and Symbolic Methods in MATH/STAT. I.

3 hr. PR: MATH 156. Data manipulation, data visualization in two and three dimensions including animation, scientific programming using a high level language, symbolic manipulators, and other packages. Applications to problems in mathematics and statistics. (Equiv. to STAT 222.)

231. Algebra and Geometry for Elementary Teachers. I, II

3 hr. PR: MATH 126. (For elementary education majors only.) Algebra, real numbers, and geometry applied to graphing, problem solving, probability and statistics, calculations, and the computer.

238. Modern Geometry for Teachers.

I. 3 hr. PR: MATH 156 or consent. (For prospective high school mathematics teachers.)
Foundations of geometry. Special topics from Euclidean, projective, and non-Euclidean geometries.

251. Multivariable Calculus. I, II, S.

4 hr. PR: C or better in MATH 156. Introduction to solid analytic geometry, vector algebra, matrix algebra,
calculus of several variables.

Textbook: Calculus with Analytic Geometry, 5^th Edition, by Edwards and Penney

Material required:

Chapter 12: Sections 1-8
Chapter 13: Sections 2-8 and 10
Chapter 14: Sections 1-8
Chapter 15: Sections 1-4
Supplement material on Linear Algebra (see WVU Bookstore): Sections 1.1-1.5, 2.1-2.2, and 3.1-3.2

261. Elementary Differential Equations. I, II, S.

4 hr. PR: C or better in MATH 251. Ordinary differential equations, Laplace transforms, partial differential equations, Fourier series, applications.

Textbook: Elementary Differential Equations and Boundary Value Problems, 7^th Edition, by Boyce and DiPrima

Material required:

Chapter 1: Sections 1-3
Chapter 2: Sections 1-7
Chapter 3: Sections 1-8
Chapter 4: Sections 1-3
Chapter 5: Sections 1-2
Chapter 6: Sections 1-2
Chapter 7: Sections 1-3
Chapter 10: Sections 1-5

280. Mathematical Logic 1. I.

3 hr. PR: PHIL 260 or consent. The axiomatic method, „naive,‰ and axiomatic set theory, Russell‚s Paradox, infinity and unaccountability, the „reduction‰ of mathematics to set theory, introduction to the consistency and completeness of logic, and Godel‚s proof of the incompleteness of arithmetic. (Equiv. to PHIL 360.) (Not offered on a regular basis.)

283. Introduction to the Concepts of Mathematics.

I, II. 3 hr. PR: MATH 156 or consent. Elementary logic, basic theory, relations and functions, equivalence relations and decomposition of sets, order relations, cardinality. Emphasis on learning to prove theorems.

293. Special Topics. I, II, S.

1-6 hr. PR: Consent. Investigation of topics not covered in regularly scheduled courses.

331. Introduction to Mathematics for the Elementary Teacher 1. I, II.

3 hr. PR: MATH 126. (Not open to students who have credit for MATH 231.) (For in-service elementary mathematics teachers.) Systems of numeration; sets, relations, binary operations, the algebraic structure of various number systems; the notions of length, area, and volume; coordinate geometry.

332. Introduction to Mathematics for the Elementary Teacher 2. I, II.

341. Introduction to Algebraic Structures. II.

3 hr. PR: MATH 283 or consent. A study of groups, rings, and fields together with their substructures, quotients and products, morphisms; the fundamental homomorphism theorems.

343. Introduction to Linear Algebra. I.

3 hr. PR: MATH 156. Introduction to vector spaces as an algebraic system. Emphasis on
axiomatic development and linear transformation. Examples from geometry and calculus.

364. Mathematics of Compound Interest. II.

3 hr. PR: MATH 156 or MATH 150. A problem-solving course focusing on the measurement of interest, annunities, amortization schedules, and sinking funds, and the valuation of bonds and other securities.

367. Applied Mathematical Analysis. II.

3 hr. PR: MATH 261. The algebra and differential calculus of vectors, solution of the
partial differential equations of mathematical physics, and application of functions of a complex variable.

373. Introduction to Cryptography.

3 hr. PR: MATH 155. Introduces students to the art of confidential communication the
mathematical background and the practical skills in making and breaking secret codes.

375. Applied Modern Algebra. I.

3 hr. PR: MATH 156. Finite fields, algebraic coding theory, Boolean algebras, monoids, finite state, and Turing machines.

378. Discrete Mathematics. II.

3 hr. PR: MATH 283. Permutations, combinations, binominal theorem, inclusion-exclusion formula, recurrence relations, generating functions, elementary graph theory (connectivity, paths, circuits, trees, vertex and edge coloring, graph algorithms) matching theory, and discrete optimization. (Equiv. to CS 426.)

381. Topology. II, S.

3 hr. PR: MATH 283 or consent. Introduction to metric and topologial spaces. Topics include: continuity, convergence, separation, compactness, and connectedness.

420. Numerical Analysis 1. I, II.

3 hr. PR: MATH 251 and (either a programming language or MATH 222.) Computer arithmetic, roots of equations, interpolation, Gaussian elimination, numerical integration and differentiation. Numerical solution of initial value problems for ordinary differential equations. Least square approximations. (Equiv. to CS 460.)

421. Numerical Analysis 2. II.

3 hr. PR: (MATH 420 or CS 460) and (MATH 441 or MATH 343). Solutions of linear systems by
direct and iterative methods. Calculation of eigenvalues, eigenvectors, and inverses of matrices. Applications to ordinary and partial differential equations.

441. Applied Linear Algebra. I, II, S.

3 hr. PR: MATH 251. Matrix algebra with emphasis on algorithmic techniques and applications to physical models. Topics include solution of large systems of equations, orthogonal projections and least squares, and eigenvalue problems.

451. Introduction to Real Analysis 1. I, II.

3 hr. PR: MATH 283. A study of sequences, convergence, limits, continuity, definite
integral, and derivative, differentials, functional dependence, multiple integrals, sequences, and series of functions.

452. Introduction to Real Analysis 2. I, II.

3 hr. PR: MATH 451. A study of sequences, convergence, limits, continuity, definite
integral, derivative, differentials, functional dependence, multiple integrals, sequences, and series of functions.

455. Advanced Real Calculus. S.

3 hr. PR: MATH 261. Limits, series, metric spaces, uniformity, integrals.

456. Complex Variables. II.

3 hr. PR: MATH 261. Complex numbers, functions of a complex variable; analytic functions; the logarithm and related functions; power series; Laurent series and residues; conformal mapping and applications.

464. Deterministic Math Modeling.

3 hr. PR: MATH 222 and MATH 261 and MATH 420; or consent. An introduction to mathematical modeling of deterministic systems. Topics include growth and decay models, equilibrium models, optimal control and utility, and model validation. Applications from chemistry, physics, biology, economics, and the environment will be considered.

465. Partial Differential Equations. II.

3 hr. PR: MATH 261. Introduces students in mathematics, engineering, and the sciences
to methods of applied mathematics. First and second order equations, canonical forms, wave, heat, and Laplace‚s equations, representation of solutions.

469. Seminar in Applied Mathematics. I, II.

1-12 hr. PR: Consent. Selected topics in applied mathematics.

480. Mathematical Logic 2.

3 hr. PR: MATH 280 or PHIL 360.

490. Teaching Practicum. I, II, S.

1-3 hr. PR: Consent. Teaching practice as a tutor or assistant.

491. Professional Field Experience. I, II, S.

1-18 Hr PR: Consent (May be repeated up to a max. of 18 hrs.) Prearranged
experiential learning program, to be planned, supervised, and evaluated for credit by faculty and field supervisors. Involves temporary placement with public or private enterprise for professional competence development.

493. Special Topics. I, II, S.