Course Offerings

Below 100-Level Courses

Courses marked as additive credit are considered credit-bearing for the purposes of financial aid, tuition, and the determination of full-time student status, but do not count towards graduation credits.

MAT 095/Intermediate Algebra
additive credit (does not count towards graduation)
(every semester)
Prerequisites: See http://mathstat.pages.tcnj.edu/courses-2/calculus-requirement/ for details. This course is designed for students majoring in a field where at least one of the courses, Pre-Calculus (MAT 096), Calculus A (MAT 127), or Calculus for Business and the Social Sciences (MAT 125) is required. Conceptual understanding and skill development of traditional algebraic topics such as: linear equations and inequalities, exponents and polynomials, rational expressions, quadratic equations, and systems of linear equations are included.

MAT 096/Pre-Calculus
additive credit (does not count towards graduation)
(every semester)
Prerequisite: MAT 095 or placement into MAT 096. See http://mathstat.pages.tcnj.edu/courses-2/calculus-requirement/ for details. This course is designed for students majoring in a field where at least one of the courses, Pre-Calculus (MAT 096), Calculus A (MAT 127), or Calculus for Business and the Social Sciences (MAT 125) is required. Fundamentals of algebra, trigonometry, and analytic geometry. Stress is on computational and problem-solving techniques.

MAT 099/Orientation to Mathematics and Statistics
0 course units
(seven weeks long, every semester)
Required as an entry course of all entering first-year students enrolled in majors offered by the Department of Mathematics and Statistics. Topics covered include degree requirements, general information about the college and services offered, career opportunities in mathematics and statistics, academic standards and integrity, study habits and time management, and resume development. General and personal advisement relative to pursuit of the major and the degree is also included.

100-Level Courses

MAT 101/Applied Liberal Arts Mathematics
1 course unit
(every semester)
Provides intuitive and formal experience in development and appreciation of structural bases characteristic of mathematics. Topics from: logic, sets, graph theory, coding, voting, and social choice and game theory.

MAT 102/Mathematics for the Liberal Arts
1 course unit
(spring)
Provides intuitive and formal experience in development and appreciation of structural bases characteristics of mathematics. Topics from: logic, sets, combinatorial probability, abstract mathematical systems, and number theory.

MAT 105/Mathematical Structures and Algorithms for Educators I
1 course unit
(every semester)
Prerequisite: Reserved for School of Education students
This course concerns the development of number systems, algebraic structures, and algorithms. The student will be required to reason mathematically, solve problems, and communicate mathematics effectively at different levels of formality, using a variety of representations of mathematical concepts and procedures. Physical materials and models will be used to explore fundamental properties of number systems, to model algorithms, and to explore selected algebraic structures. This course is especially appropriate for those students preparing to be elementary, early childhood, deaf and hard of hearing, or special education teachers.

MAT 106/Mathematical Structures and Algorithms for Educators II
1 course unit
(every semester)
Prerequisite: Reserved for School of Education students
Physical materials and models will be used to explore fundamental concepts of geometry, measurement, data analysis, statistics, and probability. The student will be required to reason mathematically, solve problems, and communicate mathematics effectively at different levels of formality, using a variety of representations of mathematical concepts and procedures. This course is especially appropriate for those students preparing to be elementary, early childhood, deaf and hard of hearing, or special education teachers.

MAT 111/Number Theory and Systems for Middle School Teachers
1 course unit
(occasionally)
Prerequisite: MAT 105 or MAT 106
This course gives the middle school mathematics teacher a deeper understanding of numbers and operations. Physical materials, models, technology, and middle school curricula will be used to explore these topics. Exploration of ways to engage middle school students meaningfully in experiences that lay a strong foundation for more formal work in number theory will be integrated with the mathematics content.

MAT 112/Data Analysis and Problems for Middle School Teachers
1 course unit
(occasionally)
Prerequisite: MAT 105 or MAT 106
This course gives the middle school mathematics teacher a deeper understanding of data analysis and probability. Physical materials, models, technology, and middle school curricula will be used to explore these topics. Exploration of ways to engage middle school students meaningfully in experiences that lay a strong foundation for more formal work in data analysis and probability will be integrated with the mathematics content.

MAT 114/Patterns, Functions and Algorithms for Middle School Teachers
1 course unit
(occasionally)
Prerequisite: MAT 105 or MAT 106
This course gives the middle school mathematics teacher a deeper understanding of patterns, functions, and algebra. Physical materials, models, technology, and middle school curricula will be used to explore these topics. Exploration of ways to engage middle school students meaningfully in experiences that lay a strong foundation for more formal algebraic work will be integrated with the mathematics content.

MAT 115/Geometry for Middle School Teachers
1 course unit
(occasionally)
Prerequisite: MAT 105 or MAT 106
This course gives the middle school mathematics teacher a deeper understanding of geometry. Physical materials, models, technology, and middle school curricula will be used to explore these topics. Exploration of ways to engage middle school students meaningfully in experiences that lay a strong foundation for more formal work in geometry will be integrated with the mathematics content.

MAT 117/Discrete Math for Middle School Teachers
1 course unit
(occasionally)
Prerequisite: MAT 105 or MAT 106
This course gives the middle school mathematics teacher a deeper understanding of discrete mathematics. Physical materials, models, technology, and middle school curricula will be used to explore these topics. Exploration of ways to engage middle school students meaningfully in experiences that lay a strong foundation for more formal work in discrete math will be integrated with the mathematics content.

MAT 118/Concepts of Calculus for Middle School Teachers
1 course unit
(occasionally)
Prerequisite: MAT 105 or MAT 106
This course gives the middle school mathematics teacher a deeper understanding of mathematics through the study of calculus. Physical materials, models, technology, and middle school curricula will be used to explore the topics. Exploration of ways to engage middle school students meaningfully in experiences that lay a strong foundation of the ideas of calculus will be integrated with the mathematics content.

MAT 125/Calculus for Business and the Social Sciences
1 course unit
(every semester)
Prerequisite: MAT 096 or an SAT math score at least 650 See
http://mathstat.pages.tcnj.edu/courses-2/calculus-requirement/ for details. A course intended for majors in business and the social sciences, and/or minors in statistics. Topics include differential calculus, integral calculus, and some linear algebra, with applications to areas of business and social science. Not for mathematics or science majors.

MAT 127/Calculus A
1 course unit
(every semester)
Prerequisite: MAT 096 or an SAT math score at least 650 See http://mathstat.pages.tcnj.edu/courses-2/calculus-requirement/ for details. Provides students with a solid grounding in single-variable calculus. The course is designed for students in the mathematical and physical sciences. Topics include functions and limits, derivatives and differentiation rules, applications of derivatives, and an introduction to integrals and their applications.

MAT 128/Calculus B
1 course unit
(every semester)
Prerequisite: MAT 127 or MAT 125 with permission of department chair.
A second course in calculus covering integral calculus and series. The course will cover both the theoretical and applied aspects of calculus.

MAT 170/Topics in Mathematics
1 course unit
(occasionally)

STA 115/Statistics
1 course unit
(every semester)
This course introduces the students to statistical ideas and concepts with an emphasis on the interpretation of data and the communication of statistical results. Topics include sampling, surveys, experimental designs, observational studies, data exploration, chance phenomena, and methods of statistical inference. Students who have already received credit for STA 215 cannot receive credit for this course.

200-Level Courses

MAT 200/Proof Writing through Discrete Mathematics
1 course unit
(every semester)
Prerequisite: MAT 096
An introduction to discrete mathematics. Discrete topics include sets, graphs, Euler and Hamilton circuits, connectivity, planar graphs, recursion and difference equations. Descriptions of the proof types such as direct, indirect, cases, contrapositive and induction should be worked into the material whenever possible. Some optional topics should be included such as fractals, algorithms, combinatorial proofs, discrete codes, logic, Platonic solids and combinatorial counting.

MAT 205/Linear Algebra: Theory and Applications
1 course unit
(every semester) (Writing Intensive)
Prerequisite: MAT 128 or MAT 200 or CSC 310
An introduction to vector spaces and systems of linear equations essential for the understanding of both pure and applied mathematics. Selected topics include: systems of linear equations, matrices, linear transformations, linear independence, determinants, vector spaces, eigenvalues and eigenvectors, and orthogonality. This course is writing intensive and includes a lab component using MATLAB.

MAT 229/Multivariable Calculus
1 course unit
(every semester)
Prerequisite: MAT 128
Topics include: geometry of three dimensional space, derivatives of functions of several variables, integrals in dimension two and three, and Stokes’ theorem.

MAT 255/Perspectives on the Development of Mathematics
1 course unit
(every fall)
Prerequisite: Reserved for math education students
The course develops a skeletal outline of the history of mathematics. Additional topics may include the history of a specific area of mathematics. Samples of topics that may be covered in the course are: ancient mathematics, the relation between Greek and Mesopotamian algebra, the growth of trigonometric ideas, the geometric solution of the cubic equations by Omar Khayyam and the algebraic solutions by Cardano, Zeno’s paradox and the development of different number systems.

MAT 270/Topics in Mathematics
1 course unit
(occasionally)
Special topics in mathematics that will vary by semester.

MTT 202/Teaching Mathematics in the Early Childhood and Elementary Classroom
1 course unit
(with field placement)
(every semester)
Prerequisite: MAT 105, MAT 106, or MAT 200 or by permission of Math. Ed. coordinator
Corequisite: MST 202
This course examines the early childhood and elementary mathematics curricula, how children learn mathematics, methods and strategies appropriate for teaching the many topics in mathematics. Students will be introduced to national and state standards for preK-5 mathematics, and learn how to teach according to these standards. Topics include the use of manipulatives and technology in teaching mathematics, learning theories, adaptations for diverse learners, and the investigation of standards-based curricula. A field experience is a critical component of this course. The student will observe and participate in the early childhood, elementary or middle school classroom of an exemplary mathematics teacher 3 hours per week.

STA 215/Statistical Inference
1 course unit
(every semester)
Prerequisite: MAT 125 or MAT 127
A comprehensive introduction to descriptive statistics and the essential ideas of probability. Students will study foundations of classical parametric inference: point estimation, confidence intervals, hypothesis testing and common statistical techniques including simple regression and correlation. Examples will be drawn from a variety of social and natural sciences.

300-Level Courses

MAT 301/Number Theory
1 course unit
(every semester)
Prerequisite: MAT 200
Divisibility, primes, unique factorization, diophantine equations, congruences, quadratic reciprocity, and such optional topics as sums of squares, number-theoretic functions, continued fractions, prime number theory, public-key encryption, and elliptic curves.

MAT 305/Abstract Algebra
1 course unit
(every semester)
Prerequisites: MAT 200 and MAT 205
An introduction to groups, rings, integral domains and fields. Additional topics include groups of symmetries, rings of integers, rings of polynomials and construction of the field of rational numbers.

MAT 310/Real Analysis
1 course unit
(every fall)
Prerequisites: MAT 200 and MAT 229
A logical development of mathematical analysis for functions of a single real variable. Topics include order, completeness, sequences, series, limits of functions, basic topology of the reals, differentiation, integration, sequences and series of functions and transcendental functions.

MAT 315/Topics in Linear Algebra
1 course unit
(occasionally)
Prerequisite: MAT 205
The course consists of a collection of topics not covered in MAT 205 and builds upon the material covered in MAT 205. Such topics may include: the Spectral Theorem of Symmetric Matrices, Quadratic Forms, Unitary and Hermitian Matrices, Jordan Canonical Forms, Schur’s Theorem, applications to Linear Programming and Markov chains.

MAT 316/Probability
1 course unit
(every semester)
Prerequisites: MAT 200 Prerequisite or corequisite: MAT 229
An introduction to probability. Topics include mathematical models, sample spaces, conditional probability, discrete and continuous distributions, expected values, moment-generating functions, Central Limit Theorem, multivariate distributions, marginal distributions, conditional distributions, correlation, and one-variable transformations of variables.

MAT 317/Linear Programming
1 course unit
(occasionally)
Prerequisites: MAT 205
The course studies the optimization of linear functions with constraints. Its methods are widely used in mathematical modeling. The course provides an introduction to the algorithms, theoretical foundations, and applications of linear programming. Selected topics include: the simplex method for solving a linear program (LP), the geometry of LPs, variants of the simplex method, constructing mathematical models using LPs, duality theory, sensitivity analysis, integer programming, transportation and trans-shipment models, network models, program management models, and solving LPs using modern software packages.

MAT 318/Mathematical Statistics
1 course unit
(every fall)
Prerequisites: STA 215 and MAT 316
Topics include: theory of sampling, law of large numbers, central limit theorem, normal approximation to binomial and poisson distributions, estimation of population parameters, hypothesis testing, confidence methods, change of variable and order statistics.

MAT 320/Complex Analysis
1 course unit
(every spring)
Prerequisite: MAT 229
A logical development of the classical theory of functions of a complex variable, with emphasis on those parts of the theory which are most used in modern applications of the subject. Topics include: complex numbers, analytic functions, the exponential, trigonometric, hyperbolic, and logarithmic functions and their inverses; mapping by elementary functions; integrals; the Cauchy-Goursat theorem, the Cauchy integral formula, derivatives of analytic functions; the fundamental theorem of algebra; power series; residues and poles; and isolated, essential, and removable singularities.

MAT 326/Differential Equations
1 course unit
(every semester)
Prerequisite: MAT 128 and Corequisite: MAT 205 or PHY 306
Differential equations are used to model the world around us. Understanding the properties of solutions to differential equations is fundamental to the field of applied mathematics. This course provides an introduction to the theory, solution techniques, and application of ordinary differential equations. Topics may include: solutions to first-order linear and nonlinear ordinary differential equations by analytical, qualitative and numerical methods; existence and uniqueness theorems; solutions to second-order linear differential equations; power series solutions of differential equations; Laplace transform methods; mathematical modeling with differential equations; systems of differential equations including the connection to linear algebra, stability theory and phase plane analysis.

MAT 331/Numerical Methods
1 course unit
(Fall of every odd year)
Prerequisites: MAT 128 and MAT 205
Numerical Methods is a course which focuses on methods of approximating solutions to problems for which the techniques of the earlier Calculus and Linear Algebra courses fail. A course covering methods of approximation, errors in approximation, and efficiency of algorithms.

MAT 351/Geometry
1 course unit
(every semester)
Prerequisites: MAT 200 and MAT 229
Both Euclidean and non-Euclidean geometries are studied. Each geometry will be understood from three different perspectives: first, as the collection of theorems following from a particular set of axioms; second, as the two-dimensional geometry arising from a particular metric; and third, as the geometry obtained from a set together with a specific group of rigid motions of the set. At least one of these viewpoints will be developed in detail.

MAT 370/Topics in Mathematics
1 course unit
(occasionally)
Special topics in mathematics that will vary by semester.

MAT 391/Independent Study in Mathematics
variable course units
(every semester)

MAT 392/Guided Study in Mathematics
variable course units
(every semester)

MAT 393/Independent Research in Mathematics
variable course units
(every semester)
Prerequisite: By invitation only
Student will study and/or do research independently in an appropriate area. A department member will be assigned to advise and direct the student.

MAT 399/Internship in Mathematics
variable course units
(every semester)
Prerequisites: Junior standing and permission of the department.
Applied experience in major field of study. Consult department for details.

MTT 370/Special Topics in Mathematics Education
1 course unit
(occasionally)
Prerequisite: MAT 105 or MAT 200 are a prerequisite.
This course covers a variety of topics in Mathematics Education.

MTT 380/Methods of Teaching Mathematics I
1 course unit
(fall)
Prerequisites: MAT 200, MAT 205, and MAT 229
This course is the first in a two-course sequence of professional courses for mathematics education majors. Students will be introduced to national and state standards for K-12 mathematics and learn how to teach according to these standards. Topics will include the use of manipulatives, technology in teaching mathematics and the investigation of standards-based curricula. These topics will be mostly situated in the context of middle school mathematics.

This is a writing intensive course.

MTT 390/Methods of Teaching Mathematics II
1 course unit
(spring)
Prerequisites: MTT 380
Corequisites: SED 399 and SPE 323
This course is the second in a two-course sequence of professional courses for mathematics education majors. Students will be familiar with the standards for 9-12 mathematics, and will engage in exploring topics from Discrete Math, Algebra, Geometry, Precalculus, and Calculus. These topics will be examined with the perspective gained from MTT 380 along with that gained from research. Manipulatives, models, software, and calculators will be used to explore appropriate topics from each area. Classroom organization and management will also be explored. The course will be taken as part of a junior block of courses that share a field placement.

MTT 391/Independent Study in Mathematics Education
variable course units
(every semester)
This course is an upper level course for students interested in studying topics that are not covered in the regularly offered courses. To register for the course a student must contact a faculty member of the department who will serve as a mentor of the independent study. Students must have completed either MTT 202 or MTT 380 with at least a grade of B to register for the course.

MTT 392/Guided Study in Mathematics Education
variable course units
(every semester)
This course is an upper level course for students interested in studying topics that are not covered in the regularly offered courses. Students must have completed either MTT 202 or MTT 380 with at least a grade of B to register for the course.

MTT 393/Independent Research in Mathematics Education
variable course units
(every semester)
This course is an upper level course in which students engage in research experiences in mathematics education that constitute new research for the student. Students work in collaboration with a faculty member and/or with fellow student researchers and a faculty mentor. The student will be expected at the end of the semester to write a paper which will be presented to the department or at a mathematics education conference. To register for the course a student must make arrangements with a faculty member of the department who agrees to serve as a research mentor. Students must have completed either MTT 202 or MTT 380 with at least a B to register for the course.

STA 303/Design of Experiments
1 course unit
(spring even years)
Prerequisites: STA 215
An introduction to problems and techniques inherent to the design and analysis of experiments. There are broad applications across numerous disciplines in the sciences and the humanities. Topics include: analysis of variance, blocking, general factorial models, nested designs, confounding and fractional replication. A statistical software package will be used throughout the course (SAS, SPSS or MINITAB).

STA 304/Sampling and Nonparametric Statistics
1 course unit
(spring odd years)
Prerequisites: STA 215
This course introduces students to the use of sampling theory, the design and analysis of sample surveys, and robust statistical tests that are applicable in a wide range of real-world applications. Topics include: stratified sampling, cluster sampling, quota sampling, questionnaire design, and k-sample tests for paired and unpaired data.

STA 305/Regression Analysis
1 course unit
(every fall)
Prerequisites: STA 215
Regression concepts and techniques as a synthesis of theory, methods and applications. Topics include: multiple regression, interactions, partial and multiple correlation, polynomial regression and logistic regression and time series analysis. A statistical software package will be used throughout the course (SAS, SPSS, or MINITAB).

STA 306/Applied Multivariate Analysis
1 course unit
(every fall)
Prerequisites: STA 215
An introduction to a variety of multivariate statistical methods as aids to analyzing and interpreting large data sets. These methods will have general applications across a wide range of client disciplines. Topics include: principal components analysis, cluster analysis, discriminant analysis, multi-dimensional scaling and correspondence analysis. A statistical software package will be used throughout the course (SAS, SPSS or MINITAB).

STA 307/Data Mining and Predictive Modeling
1 course unit
(every spring)
Prerequisites: BIO 352 or ECO 231 or MAT 316 or PSY 303 or (CSC 320 and STA 215)
An introduction to Data Mining and Predictive Modeling. Topics include decision trees, link functions, logic regression, neural networks, TreeNet, support vector machine, text mining, association rules (market basket analysis), and link analysis.

STA 314/Statistical Quality Control
1 course unit
(occasionally)
Prerequisites: STA 215
Course description: An introduction to the theory and application of statistical quality control. Topics include variables control charts (, R, and s), attributes control charts (p, np, c, and u), and non-Shewhart type charts (CUSUM, MA, and EWMA); rational subgrouping, Average Run Length, and O-C curves.

STA 318/Operations Research
1 course unit
(spring odd years)
Prerequisite: MAT 316
An introduction to that portion of Operations Research which deals with probabilistic techniques. Topics include: forecasting, queuing models, inventory control and simulation. Students will become conversant with a number of operations research software packages.

STA 390/Statistics Specific Research Course
variable course units
(every semester)

STA 391/Independent Study in Statistics
variable course units
(every semester)

STA 392/Guided Study in Statistics
variable course units
(every semester)

STA 393/Independent Research in Statistics
variable course units
(every semester)
Prerequisite: By invitation only
Student will study and/or do research independently in an appropriate area. A department member will be assigned to advise and direct the student.

STA 399/Internship I in Statistics
variable course units
(every semester)
Prerequisites: Junior standing and permission of department
A supervised statistics-related experience working for government or the private sector. Based on input from the client, the student and faculty coordinator agree on the overall scope of the project including learning objectives, work plan, and expected outputs. The content of the internship should require the student to do some research and/or creative work. Students will periodically inform the coordinator of status and, on completion of the internship, will document the experience and make an oral presentation. The course counts as a general elective for the student with either a major or a minor in statistics. Grading is Pass/Unsatisfactory. Courses graded on a P/U basis are not counted as part of the 16 course units of letter-graded course units for graduation with honors.

400-Level Courses

MAT 403/Advanced Calculus
1 course unit
(Occasionally)
Prerequisite: MAT 229
The calculus of several variables is explored from the point of view of the geometry of surfaces in Euclidean space. The emphasis will be on examples rather than proofs. Topics will include the topology of Euclidean Space, the derivative as a linear map, the geometry of maps whose derivative have maximal rank, and Lie groups such as SL (2,R)

MAT 405/Topology
1 course unit
(occasionally)
Prerequisite: MAT 305
Students will gain acquaintance of various aspects of topology and its connections to analysis and algebra. This will include a thorough treatment of those aspects of point-set topology that lay the foundation for graduate study; i.e., continuity, compactness, connectedness and separation axioms. Also, this course will introduce students to manifold theory, including the classification of two-dimensional manifolds. The student will understand the role of topological invariants in the classifying topological spaces. This will lead to the classification of the surfaces. Lastly, students will see categorical relationships between topological objects and algebraic objects.

MAT 407/Projective Geometry
1 course unit
(occasionally)
Prerequisite: MAT 305
An introduction to projective geometry. Topics include affine and projective plane, real projective plane, principle of duality, groups of automorphisms, and projective planes over division rings.

MAT 440/Mathematical Logic
1 course unit
(occasionally)
Prerequisites: MAT 200, a 300-level MAT course and reserved for juniors and seniors
The process, characteristics, and limits of logical reasoning. Several logical languages will be developed from first principles. Students will become familiar with theorems on consistency and independence and develop an appreciation of Godel’s incompleteness theorem. An introduction to set theory will be included to discuss infinite cardinals.

MAT 451/Seminar in Algebra
1 course unit
(occasionally)
Prerequisites: MAT 229 and MAT 305
A flexible course in which the content is selected from topics in algebra. This is an elective course designed to enrich the background of the student as well as to bridge the gap between undergraduate math and graduate math.

MAT 452/Seminar in Geometry and Topology
1 course unit
(occasionally)
Prerequisites: MAT 229 and MAT 305
A flexible course in which the content is selected from topics in geometry and topology. This is an elective course designed to enrich the background of the student as well as to bridge the gap between undergraduate math and graduate math.

MAT 453/Seminar in Analysis
1 course unit
(occasionally)
Prerequisites: MAT 229 and MAT 310
A flexible course in which the content is selected from topics in analysis. This is an elective course designed to enrich the background of the student as well as to bridge the gap between undergraduate math and graduate math.

MAT 454/Seminar in Applied Mathematics
1 course unit
(occasionally)
Prerequisites: MAT 229 and MAT 326
A flexible course in which the content is selected from topics in applied mathematics. This is an elective course designed to enrich the background of the students as well as to bridge the gap between undergraduate math and graduate math.

MAT 470/Topics in Mathematics
1 course unit
(occasionally)

MAT 492/Guided Study in Mathematics II
variable course units
(every semester)
This course allows student to study advanced mathematical topics under the supervision of a faculty member.

MAT 493/Independent Research II in Mathematics
variable course units
(every semester)
Prerequisite: By invitation only
Student will study and or do research independently in an appropriate area. A department member will be assigned to advise and direct the student.

MAT 494/Independent Study in Mathematics II
variable course units
(every semester)
The course allows students to study advanced mathematical topics independently under the supervision of a faculty member.

MAT 498/Capstone
(every semester)
Prerequisite: Senior standing
Intensive study of advanced topics in mathematics. Students will write and present an expository paper in mathematics.

MTT 490/Student Teaching
2 course units
(every semester)
Prerequisites: MTT 390 and meeting all the criteria for admission for student teaching including completion of all required mathematics courses, at least C+ in MTT 390, and cumulative average of at least 2.75.
Corequisite: SED 498
Student Teaching during the senior year under direct supervision of approved public school and general supervision of college supervisors. Observation, participation, and responsible teaching.

MTT 491/Global Student Teaching
2 course units
(every semester)
Prerequisites: MTT 390 and meeting all the criteria for admission for student teaching including completion of all required mathematics courses, at least C+ in MTT 390, and cumulative average of at least 2.75.
Corequisite: SED 498
Student teaching abroad during the senior year under direct supervision of approved public school and general supervision of college supervisors. Observation, participation, and responsible teaching. Student will spend half of the semester abroad and half in a local school.

MTT493/Independent Research in Mathematics Education II
variable course units
(every semester)
This course is an upper level course in which students engage in research experiences on advanced mathematics education topics that constitute new research for the student. Students work in collaboration with a faculty member and/or with fellow student researchers and a faculty mentor. The student will be expected at the end of the semester to write a paper which will be presented to the department or at a mathematics education conference. To register for the course a student must make arrangements with a faculty member of the department who agrees to serve as a mentor of the independent research. Students must have completed MTT 393 with at least a B to register for the course.

STA 410/Mathematical Statistics
1 course unit
(every fall)
Prerequisites: STA 115 or STA 215, and MAT 316
An introduction to the theory of statistics. Topics include transformations of variables; sampling distributions of common statistics; method of moments and maximum likelihood estimation; properties of point estimates including bias, MSE, consistency, and sufficiency; confidence intervals; and hypothesis testing, including Type I and II Errors and power.

STA 492/Internship II in Statistics
variable course units
(every semester)
Prerequisites: Junior standing and permission of department
A supervised statistics-related experience working for the government or the private sector, in which the student will be expected to include research as part of the project. Based on a general description of the project from the client, the student, working with the TCNJ faculty coordinator, will structure the project. The structure will include the learning objectives, the research issues, the projected work plan, and the possible results. Students will periodically inform the faculty coordinator of status and progress. On completion, the student will formally document the project for the client and TCNJ. The student will also make an oral presentation that is open to the public. The course can count as an option in the statistics major or minor or as a general elective. A letter grade will be assigned by the faculty coordinator based on input from the client, as well as from the written and oral presentation.

STA 494/Seminar in Statistics
1 course unit
(occasionally)
Prerequisite: STA 215
A flexible course in which the content is selected from topics in statistics. This is an elective course designed to enrich the background of the students as well as to bridge the gap between undergraduate statistics and graduate statistics.

STA 498/Capstone
(every semester)
Prerequisite: Senior standing
Intensive study of topics or applications in statistics. Verbal presentation and written paper required.

Mathematics & Statistics @ TCNJ