Mathematics Courses

The Graduate School
Salem State University, 352 Lafayette Street, Salem, MA 01970.
Current and future courses offered
at the Master's level in Mathematics
Note: We also have courses for a Master of Arts in Teaching Middle School Mathematics degree. To see these courses (none of which count towards a Master of Science in Mathematics or Master of Arts in Teaching Mathematics degree), please go to http://www.salemstate.edu/math/grad/gradoffsmsm.htm .

Summer I 2012: (May 21-June 30, 2012)
MAT701 Vector and Tensor Analysis (3 Cr.)   MW 4:30-7:30 p.m.   SB305A   Sec. 01 (1011) D. Weiner
Suggested topics are: Definition of vectors and transformation equations, general Cartesian co-ordinates; vector and scalar products, geometry of space curves; introduction to differential forms and tensors.

MAT702N Research on Teaching Methods in Mathematics I (3 Cr.)   T Th   4:40-7:40 p.m.   SB305B   Sec. 01 (1014) T. Beckett
Prerequisites: Completed course in statistics and completion of the Measurement and Evaluation standard
This course will allow the student to find and study models of accomplished researchers on the teaching of Mathematics at the secondary level. The course will examine necessary concepts in research validity; data gathering; instrumentation selection and construction; validation and reliability determinations; sampling techniques; and research designing. Further, the course will review the application of statistical models salient to designs utilized in conducting research which requires the testing of hypotheses that have been generated from problems in secondary school Mathematics. Open only to M.A.T. and M.Ed. candidates for degree credit.

MAT747    Applied Statistical Inference (3 Cr.)    T Th 4:40-7:40 p.m.   SB311   Sec. 01 (1013) J. Belock
Prerequisite: Acceptance into either the Master of Science in Mathematics, Master of Arts in Teaching Mathematics or the Master of Science in Geo- Information Science program or permission of the Mathematics Graduate Program Coordinator.
A study of probability and statistical inference. Suggested topics are: Probability, discrete and continuous probability distributions, sampling distribution theory, confidence intervals, tests of statistical hypotheses, linear regression, and a nonparametric method: the Kolmogorov-Smirnov Goodness-of-Fit Test; applications to spatial statistics. The emphasis of the course is on applications and conceptual understanding, rather than on mathematical derivations.

Summer II 2012: (July 9-Aug. 18, 2012) (tentative)
PLEASE REGISTER ON OR BEFORE JUNE 28 for Summer II courses!!   If you are told before June 28 that a class is full, please e-mail arosenthal@salemstate.edu to find out if we can either add another section or give you permission to be added to a "full" class. You may register online at http://navigator.salemstate.edu beginning on April 2.   If this link doesn't work, please go to http://www.salemstate.edu and click on the "Navigator" link in the upper right or the "Register Now" link in the middle right. If this doesn't work, please go to https://navigatorp.salemstate.edu:4435/psp/paprd/NAVIGATOR/PSFT_PA/h/?tab=PAPP_GUEST .    Walk-in registration is Mon. - Thurs. 9 am - 5:30 p.m. and Fri. 10 a.m. - 4 p.m., in the Registrar's Office in the Administration Building, which is behind the Sullivan Building, and begins on April 17.

MAT705    Modern Plane Geometry (3 Cr.)   T Th 6:30-9:30 p.m.   SB306A     Sec. 21   (1017)    A. Rosenthal
Prerequisite: Two semesters of Calculus
Suggested topics are: axiomatic approach to plane geometry, parallel postulate, Euclidean and hyperbolic geometries; quadratic extensions and angle trisection; plane measure.

MAT807 Statistical Inference (3 Cr.)     MW   6:30-9:30 p.m.   SB311   Sec. 21 (1010)    D. Weiner
Prerequisite: Mathematical Statistics
A continuation of MAT707. Suggested topics are multiple regression, analysis of variance, decision functions, Bayes solutions, and nonparametric methods.

Fall 2012: (Sept. 5-Dec. 20, 2012) (tentative)
MAT708    Introduction to Cryptography (3 Cr.)    Tu   4:30-6:50 p.m.   SB311   Sec. S1 (1289)    B. Travers
Prerequisite: Mathematical maturity as demonstrated by any one of the following – at least 12 credits of undergraduate or graduate math courses, or a score of 700 or higher on the math SAT or GRE.
An introduction to cryptography – the study of methods of sending messages in disguised form, including some recent applications of number theory and group theory to public key cryptography. Topics include elementary number theory, finite fields, group theory, cryptosystems, and public key cryptography.

MAT711 Real Analysis I (3 Cr.)   Th   4:30-6:50 p.m.   SB311   Sec. S1   (1367)    K. Crow
Prerequisite: 12 hours of Calculus or the equivalent
Completeness, limits, continuity, convergence of sequences and series, derivatives, the Riemann integral, and theorems of Taylor, Bolzano-Weierstrass, and Heine-Borel together with applications.

MAT/CSC740 Computer Applications in Mathematics I (3 Cr.)    Wed. 7:00-9:20 p.m.   SB311   Sec. S1 (1368)   A. Rosenthal
The FORTRAN or MATLAB language is introduced and used to illustrate computer methods in Calculus, Number Theory, Algebra, Statistics and Economics. Attention is paid to machine accuracy, error estimation and multiple-precision arithmetic. Assignments include the coding and running of programs in the Computer Laboratory. No previous computer experience required.

Spring 2013: (Jan. 14-May 6, 2013) (tentative)
MAT712 Topology I (3 Cr.)
Prerequisite: Real Analysis I or the equivalent
Topics in analytic, geometric and combinatorial topology, with an emphasis on specific examples. Concepts covered include continuity, separation, compactness, connectedness, matrix spaces and the fundamental group.

MAT731 Measure and Integration (3 Cr.)
Prerequisite: Real Analysis I or the equivalent
Suggested topics are: metric spaces, topological spaces, abstract measure; outer measure, absolute continuity, measure spaces, measurable functions, Lebesgue-Stieltjes integration, product measure, Caratheodory outer measure, L-spaces, the Radon-Nikodym theorem

MAT737 Operations Research (3 Cr.)
Prerequisite: 6 hours of Calculus
The objective of this course is to teach students to design, solve, and apply operations research models to the analysis of systems problems in industry, business, or government. Suggested topics are linear programming, network analysis, dynamic programming, integer programming, nonlinear programming, queueing theory and inventory.

Summer I 2013: (May 20-June 29, 2013) (tentative)
TBA

Summer II 2013: (July 8-Aug. 17, 2013) (tentative)
TBA

Please send suggestions for courses you would like to see offered in these or future semesters to arosenthal@salemstate.edu.

Revised: May 9, 2012
Next scheduled revision:	July 2, 2012 (when the courses running in Summer II 2012 will be definitely known))