Mathematics

40 semester hours

The Bachelor of Arts in Mathematics is a rigorous introduction to the discipline of mathematics. Students in this program will be exposed to both applied and theoretical mathematical ideas. This program prepares students to enter graduate school for further study or to seek employment in fields that value people with well-honed quantitative and problem-solving skills.

• Required major courses: MATH 140, 141, 220, 240, 311, 320, 341, 421, 425, and two math courses numbered 300 or higher, except MATH 430 and 431, 486 and 499.
• Corequisite course: CPSC 130.
• Please see the Foreign Language Competency Requirement in this catalog.
• Please see the university requirements in this catalog.
• Note: A grade of "C" or above in all courses used to satisfy the major. At least 15 credits of the mathematics courses required for this degree must be completed at East Stroudsburg University.

Program Curriculum Plan

• (Subject to change by the university without notice)

  Freshman Year

  Fall

  MATH 140 GE: Calculus 1 or MATH 135 GE: Pre-Calculus	4 or 3
  ENGL 103: English Composition	3
  Foreign Language I	3
  General Education Elective	3
  General Education Elective	3
  Subtotal	15 or 16

  Spring

  MATH 141 GE: Calculus 2 or MATH 140 GE: Calculus 1	4
  CPSC 130 GE: Introduction to Computer Programming I	3
  Foreign Language II	3
  General Education Elective	3
  Fitness Elective	2
  Subtotal	16

  Sophomore Year

  Fall

  MATH 220: Discrete Mathematics Structures	3
  MATH 240: Multivariate Calculus or MATH 141 GE: Calculus 2	4
  General Education Elective	3
  General Education Elective	3
  General Education Elective	3
  Subtotal	16

  Spring

  MATH 240: Multivariate Calculus	4
  MATH 320: Linear Algebra	3
  General Education Elective	3
  General Education Elective	3
  General Education Elective	3
  Subtotal	16

  Junior Year

  Fall

  MATH 311: Statistics I	3
  General Education Elective	3
  General Education Elective	3
  General Education Elective	3
  Elective	3
  Subtotal	15

  Spring

  MATH 341: Differential Equations	3
  MATH 425: Intro to Mathematical Modeling	3
  Elective	3
  Elective	3
  Elective	3
  Subtotal	15

  Senior Year

  Fall

  MATH 421: Abstract Algebra I	3
  Math Elective	3
  Elective	3
  Elective	3
  Elective	3
  Subtotal	15

  Spring

  Math Elective	3
  Elective	3
  Elective	3
  Elective	3
  Subtotal	12
  Total Credits	120/121

  NOTE: These suggested schedules assume eight semesters of attendance, beginning in a fall semester, and normal progress. Students should consult with their adviser to determine the best sequence of mathematics courses. Some courses are offered only in fall semesters (MATH 421) and others are only offered in the spring semester (MATH 341 and 425). Some electives are offered only once every year or once every two years, so prior planning is important.

  For more information, contact the department by calling 570-422-3447 or by email at math_dept@po-box.esu.edu.

  For assistance or special accommodations, call 570-422-3954.

  118 Science and Technology Center 570-422-3447 www.esu.edu/math

About the Program

The Bachelor of Science in Mathematics - Applied Mathematics program provides the student with an opportunity to gain a solid and comprehensive knowledge of mathematics with an extensive introduction to one of the many areas that rely heavily on mathematics. Students in this program will have an option of including an internship experience as part of their studies.

The student must complete the core requirements and the requirements for one of the tracks to fill the requirements for this major. Track options include biology, chemistry, computer science, finance and physics.

Are you interested in...

• Hands-on working experiences
• Problem solving
• Real world applications
• Analyzing data
• Constructing mathematical models

Choose Mathematics at ESU

• Small class sizes
• Qualified, experienced faculty
• Frequent faculty interactions

Is applied mathematics a career path for me?

Career Potential

• Computer Scientist
• Actuary
• Computer Software Engineer
• Financial Analyst
• Operations Research Analyst

Career Settings

• Municipal, state and federal government agencies
• Pharmaceutical companies
• Financial institutions
• Engineering firms
• Market research firms

More detailed career information is available from the department.

Program Features

• 60 - 61 semester hours

  This program provides the student intent on seeking employment once the bachelor's degree is completed with an opportunity to gain a solid and comprehensive knowledge of mathematics together with an extensive introduction to one of the many areas that rely heavily on mathematics. Students in this program will have an option of including an internship experience as part of their studies.

  The student must complete the core requirements and the requirements for one of the tracks below to fill the requirements for this major.

  • Core Courses: Required for all tracks: MATH 140, 141, 220, 240, 311, 320, 425, and Nine additional credits in MATH courses numbered 300 or higher, excluding MATH 351, 430, 431 and 499 (no more then three credits of MATH 486 can be applied toward these credits).
  • Corequisites: All tracks CPSC 101, 130, ENGL 204, and CMST 111

  Tracks:

  • Biology Track: MATH 341, BIOL 114, 115, and 3 credits of 300 or higher level Biology courses
  • Chemistry Track: MATH 341, CHEM 121, 123, 124, 126, and 3 credits of 300 or higher level Chemistry courses
  • Computer Science Track: MATH 341, CPSC 130, 141, 230, 251, and 3 credits of 300 or higher level Computer Science courses
  • Finance Track: MATH 280, ECON 111, 112, 332, and 3 credits of 300 or higher level Economics courses
  • Physics Track: MATH 341, PHYS 161, 162, and 3 credits of 300 or higher level Physics courses

  A grade of C or better in all courses used to satisfy the major.

  A minimum of 15 credits of the mathematics courses required for this degree must be completed at East Stroudsburg University.

• Program Curriculum Plan

  • (Subject to change by the university without notice)

    Freshman Year

    Fall

    MATH 140 GE: Calculus 1 or MATH 135 GE: Pre-Calculus	3 or 4
    ENGL 103: English Composition	3
    CPSC 101 GE: PC's and Their Uses in Science	3
    General Education Elective	3
    General Education Elective	3
    Subtotal	15 or 16

    Spring

    MATH 141 GE: Calculus 2 or MATH 140 GE: Calculus 1	4
    CPSC 130 GE: Introduction to Computer Programming I	4
    CMST 111 GE: Speech Communication	3
    General Education Elective	3
    Fitness Elective	2
    Subtotal	16

    Sophomore Year

    Fall

    MATH 220: Discrete Mathematical Structures	3
    MATH 240: Multivariate Calculus or MATH 141 GE: Calculus 2	4
    Track Course 1	3 or 4
    General Education Elective	6
    Subtotal	16 or 17

    Spring

    MATH 240: Multivariate Calculus	4
    MATH 320: Linear Algebra	3
    Track Course 2	3 or 4
    ENGL 204: Technical Writing	3
    Subtotal	13 or 14

    Junior Year

    Fall

    MATH 311: Statistics	3
    Track Course 3	3
    General Education Elective	3
    General Education Elective	3
    General Education Elective	3
    Subtotal	15

    Spring

    Math Track Course	3
    Track Course 4	3
    General Education Elective	3
    General Education Elective	3
    General Education Elective	3
    Subtotal	15

    Senior Year

    Fall

    Math Elective	3
    Math Elective	3
    General Education Elective	3
    General Education Elective	3
    Elective	3
    Subtotal	15

    Spring

    MATH 425: Intro to Mathematical Modeling	3
    Math Elective	3
    General Education Elective	3
    Elective	3
    Subtotal	12
    Total Credits	120

    For more information, contact the department by calling 570-422-3447 or email at mathdept@po-box.esu.edu.

    For assistance or special accommodations, call 570-422-3954.

    118 Science and Technology Center 570-422-3447 www.esu.edu/math

About the Program

A combination of courses in mathematics and pedagogy, this major prepares students for a successful career as a mathematics teacher in grades seven to 12. In this program, which has achieved National Recognition status from the National Council of Teachers of Mathematics, students complete a full and rigorous mathematics program that satisfies state and national standards for content and which blends practical and theoretical knowledge with hands-on experiences.

Are you interested in...

• Formulating and solving problems
• Teaching ideas to others
• Being creative
• Helping others

Choose Mathematics at ESU

• Small class sizes
• Qualified, experienced faculty
• Frequent faculty interactions
• Technology

Is teaching mathematics a career path for me?

Career Potential

• Teacher of Mathematics

Career Settings

• Public schools
• Private schools
• Charter schools

More detailed career information is available from the department.

Program Features

• 80 semester hours

  • Required major courses: MATH 140, 141, 220, 240, 311, 320, 351, 421, 425, 430, 431, 499; three semester hours from courses numbered 300 to 485.
  • Corequisite course: CPSC 130.
  • Required professional education courses: PSED 150, 250, 420, 421, 430, 431, 436, REED 350, SPED 350,
  • Admission to Teacher Education Program
  • 2.5 GPA in Math and 3.0 GPA overall
  • Note: Grades of A, B, or C must be earned in all of the required MATH and CPSC courses. A minimum of 15 credits of the mathematics courses required for this degree must be completed at East Stroudsburg University.
  • Please see the university requirements in this catalog.

  The Pennsylvania Department of Education has made some recent changes in teacher certification requirements. Anyone applying for teacher certification after December 31, 2012 will be subject to different program and certification requirements. These requirements will be published pending approval by the Pennsylvania Department of Education and the Pennsylvania State System of Higher Education.

  All teacher education students should be in frequent consultation with their academic advisers to make sure they are meeting the appropriate program and certification requirements which will vary depending on a variety of circumstances.

• Program Curriculum Plan

  • (Subject to change by the university without notice)

    Freshman Year

    Fall

    MATH 140 GE: Calculus 1 or MATH 135 GE: Pre-Calculus	4 or 3
    ENGL 103: English Composition	3
    PSED 150: Introduction to Teaching All Students	6
    General Education Elective	3
    Subtotal	15 or 16

    Spring

    MATH 141 GE: Calculus 2 or MATH 140 GE: Calculus 1	4
    CPSC 111 GE: Introduction to Computer Programming	4
    PSED 250: Psychology of Learners in Diverse Communities	3
    General Education Elective	3
    Fitness Elective	2
    Subtotal	16

    Sophomore Year

    Fall

    MATH 220: Discrete Mathematical Structures	3
    MATH 240: Multivariate Calculus or MATH 141 GE: Calculus 2	4
    General Education Elective	3
    English Literature Course	3
    General Education Elective	3
    Subtotal	16

    Spring

    MATH 240: Multivariate Calculus or General Education Elective	4 or 3
    MATH 320: Linear Algebra	3
    REED 350: Teaching Reading to Communities of Diverse Learners	3
    Math Elective	3
    General Education Elective	3
    Subtotal	15 or 16

    Junior Year

    Fall

    MATH 311: Statistics I	3
    MATH 351: Modern Geometry	3
    SPED 350 Assessment of Student Learning and Behavior in Diverse Classrooms	3
    General Education Elective	3
    General Education Elective	3
    Subtotal	15

    Spring

    MATH 425: Mathematical Modeling	3
    MATH 431: Teaching Math Using Technology	3
    PSED 420: Seminar in Secondary Education I	3
    PSED 436: Teaching of Mathematics in the Secondary Schools	3
    General Education Elective	3
    Subtotal	15

    Senior Year

    Fall

    MATH 421: Abstract Algebra I	3
    MATH 430: History of Mathematics	3
    PSED 421: Seminar in Secondary Education II	3
    General Education Elective	3
    General Education Elective	3
    Subtotal	15

    Spring

    PSED 430: Student Teaching in Secondary Education/Middle School/Junior High School	6
    PSED 431: Student Teaching in Secondary Education/Senior High School	6
    MATH 499: Student Teaching Internship	1
    Subtotal	13
    Total Credits	121

    Teacher education program requirements have been changed to reflect new certification rules for students applying for certification after December 31, 2012.

    For more information, contact the department by calling 570-422-3447 or email at mathdept@po-box.esu.edu.

    For assistance or special accommodations, call 570-422-3954.

    118 Science and Technology Center 570-422-3447 www.esu.edu/math

21 semester hours

• Required courses: MATH 140, 141, 220, 240, 320, and one MATH elective (300 level or higher).

21 semester hours

• Required courses: MATH 140, 141, 240, 311, 320, 411.
• The above courses should provide the student with the mathematics background needed for the first two actuarial examinations. Students who wish to take the third examination should also take MATH 480.
• Suggested courses: MATH 280; ECON 111, 112.
• Students must demonstrate competency in Basic Mathematical Skills before enrolling in mathematics courses numbered 100 or higher. (See Basic Mathematical Skills Competency)

Mary Ann Matras, chair (mmatras@po-box.esu.edu)

Niandong Shi (nshi@po-box.esu.edu)

Andrzej Zarach (azarach@po-box.esu.edu)

Associate Professors:

Denise LePage (dlepage@po-box.esu.edu)

Eugenia Skirta (eskirta@po-box.esu.edu)

Assistant Professors:

Olivia Carducci (ocarducci@po-box.esu.edu)

Eugene Galperin (egalperin@po-box.esu.edu)

Jonathan Keiter (jkeiter@po-box.esu.edu)

MATH 090 Intermediate Algebra (3)

• This course covers topics from basic algebra, solutions of first degree equations and inequalities, graphing of polynomial functions, polynomial functions, polynomial algebra, solutions to linear systems of equations, exponential and logarithmic expressions. Credits may not be used toward the 120 hours required for graduation.

MATH 100 GE: Numbers Sets and Structures (3)

• This course presents mathematics as a deductive science which starts with empirical observations but goes beyond the level of simple, unrelated facts. Search for patterns and, when discovered, justification of them is the essence of this course. Similarities and differences between structures of numbers, sets, and some algebraic objects are discussed. Does not apply toward the Mathematics major. Prerequisite: MATH 090 or 3 units of high school mathematics including Algebra 1 and Geometry.

MATH 101 GE: Excursions in Mathematics (3)

• This introductory course deals with selected topics in contemporary mathematics applied to the social and natural sciences. Topics include voting and weighted systems, fair division, apportionment, game theory, Euler circuits, the Traveling Salesman Problem, minimum networks, scheduling, linear programming, types of growth, measurement, symmetry and patterns, collecting and describing data, elementary probability and inference. Does not apply to the Mathematics Major. Prerequisite: MATH 090 or three units of high school mathematics including Algebra I.

MATH 105 Mathematical Problem Solving for Pre-K to Grade 8 Education Majors (3)

• This course is designed to give Pre-K to grade 8 Education majors experiences in being independent solvers of mathematical problems while giving them the mathematical foundation for early mathematics. Concepts in elementary education including sets, whole, integer, rational and real numbers are covered. Prerequisite: MATH 090 or three units of high school mathematics including Algebra I; Major in Early Childhood, Middle Level or Special Education.

MATH 110 GE: General Statistics (3)

• This course deals with the collection and presentation of data, frequency distributions, measures of central tendency and dispersion, elementary probability, randomness, expectations, significance testing on large and small samples, correlation, regression, introduction to analysis of variance, and other common statistical methods. Does not apply toward Mathematics major. Prerequisite: MATH 090 or three units of high school mathematics including Algebra 1.

MATH 130 GE: Applied Algebraic Methods (3)

• This course introduces students to mathematical modeling using linear, exponential, and power functions and systems of equations. Algebraic and geometric techniques are developed. Applications to the life, social, and management sciences include linear programming and difference equations. Does not apply toward the Mathematics major. Prerequisite: MATH 090 or three years of college preparatory high school mathematics including Algebra I and Geometry.

MATH 131 GE: Applied Calculus (3)

• A one-semester introduction to the techniques of differential and integral calculus, this course will concentrate on the application of these techniques in the life and social sciences. Does not apply toward the mathematics major. Prerequisite: MATH 130 with a grade of C or higher.

MATH 135 GE: Pre-Calculus (3)

• This course is designed to prepare students for calculus. Topics include equations, inequalities, functions and their graphs, polynomial, rational, exponential, logarithmic, and trigonometric functions. Prerequisites: College preparatory mathematics including Algebra 2 and Geometry and an appropriate score on the mathematics placement test.

MATH 140 GE: Calculus 1 (4)

• Together with Calculus 2 and Multivariate Calculus, the basic concepts and applications of elementary analysis are covered. Calculus 1 topics include functions, continuity, the derivative and its applications, and an introduction to the definite integral. Prerequisites: MATH 135 with a grade of C or better, or four units of college preparatory mathematics including Algebra 2, Geometry, and Trigonometry and a satisfactory score on the Calculus Readiness Test.

MATH 141 GE: Calculus 2 (4)

• The concept of the integral is developed in detail. Techniques of integration, applications of the integral, and an introduction to differential equations are covered. Also, infinite series of numbers and functions are used to illustrate approximation theory. Prerequisite: MATH 140 with a grade of C or higher.

MATH 205 Geometry for Pre-K to Grade 8 Education Majors (3)

• This course is designed to give Pre-K to Grade 8 Education majors experiences in being independent solvers of mathematical problems while giving them the mathematical foundation for early mathematics. Topics include probability, geometry and geometric systems. Prerequisite: MATH 105; early childhood, middle level or special education major.

MATH 220 Discrete Mathematical Structures (3)

• This course introduces some basic concepts of finite algebraic structures. Topics covered include logic, sets, induction, matrices, order relations, Boolean algebras, semigroups, and groups. Prerequisite: MATH 140.

MATH 240 Multivariate Calculus (4)

• This course develops calculus of several variables. Topics covered include vectors, functions of many variables and their derivatives and integrals, optimization, parametric curves and surfaces, and applications. Prerequisite: MATH 141 with a grade of C or higher.

MATH 280 Mathematics of Finance (3)

• This course consists of an introduction to the theory and mathematics of simple and compound interest with application to and emphasis on annuities, sinking funds, amortization, life insurance, stocks, bonds, and installment buying. Prerequisite: MATH 130.

MATH 290 Special Topics (Semester hours arranged)

• These courses are designed to meet specific needs of groups of students or are offered on a trial basis in order to determine the demand for and value of introducing them as a part of the curriculum.

MATH 311 Statistics I (3)

• This course gives a rigorous introduction to descriptive statistics, discrete and continuous probability distributions, sampling estimation, and hypothesis testing. Prerequisite: MATH 141.

MATH 320 Linear Algebra (3)

• This course deals with the arithmetic of matrices, linear transformation of the plane, algebra of determinants with applications to the systems of linear equations, vector spaces, characteristic values and their application. Prerequisite: MATH 220.

MATH 341 Differential Equations (3)

• This course examines solutions of first order differential equations, linear equations of higher order, numerical techniques of solution, power series methods, LaPlace transform, and applications. Prerequisite: MATH 240 or permission of instructor.

MATH 351 Modern Geometry (3)

• Problem solving in geometry will be the main focus of this course. Three types of problems are studied. The first will be straightedge and compass constructions from Euclidean Geometry. The next will develop the Newton-Poincare model of Lobachevskian Geometry. The third will be isometries of the Euclidean plane. Prerequisite: MATH 220.

MATH 360 Introduction to Combinatorics (3)

• This course introduces the basic techniques and modes of reasoning of combinatorial problem solving. Topics covered include elementary counting principles, permutations and combinations, the inclusion/exclusion principle, recurrence relations, basic properties of graphs and digraphs, trees, graph coloring, and Eulerian and Hamiltonian circuits. Prerequisite: MATH 220.

MATH 411 Statistics II (3)

• The mathematical properties of the sampling distributions of statistics will be investigated to develop criteria for precise estimation, powerful hypothesis testing, and assessing the robustness of model assumptions. Emphasis will be placed on the classical methods associated with the normal distribution and to the analysis of real data with linear models. Standard software packages will be used. Prerequisite: Math 311.

MATH 416 Linear Statistical Modeling Methods with SAS (3)

• This course is intended for advanced undergraduate students, graduate students, and working professionals who engage in applied research. Statistical linear modeling methods are used in conjunction with SAS computer software to analyze data from experiments and observational studies. Topics include regression analysis, analysis of variance, multiple comparisons and multiple tests, mixed models, analysis of covariance, logistic regression, and generalized linear models. Prerequisites: Satisfactory completion of a college course in statistics.

MATH 420 Number Theory (3)

• This course deals with the study of the divisibility properties of integers, the theory of congruences, continued fractions, linear diophantine equation in one variable and more than one variable, algebraic number fields, and rings of algebraic integers. Prerequisite: 12 hours of college mathematics.

MATH 421 Abstract Algebra (3)

• This course will introduce the students to the basic algebraic structures, including groups, rings and fields. Prerequisites: MATH 220, 240.

MATH 425 Introduction to Mathematical Modeling (3)

• This course initiates the construction, analysis and research of real world mathematical models in order to promote creativity and emphasize ingenuity for finding reasonable solutions to open-ended problems, including experimentation and simulation. The study of theoretical model types is left for more advanced courses. Prerequisites: MATH 240, 320

MATH 430 History of Mathematics (3)

• This course studies the biographies of leading mathematicians and their contributions to mathematics, the historical development of subject-matter fields of mathematics, and the role that mathematics has played in the development of civilization. Prerequisite: MATH 220, 240

MATH 431 Teaching Mathematics Using Technology (3)

• This course is designed for pre-service and in-service teachers of secondary mathematics. It is a capstone course in both mathematics and the technology used in the mathematics classroom. Students will use various calculators and computer programs to solve significant problems and prepare lessons in calculus, statistics and geometry. This course may not be used as an elective for the B.A. in Mathematics or the B.S. in Applied Mathematics. Prerequisites: 24 credits of mathematics (140 or higher) or graduate standing in Mathematics Education.

MATH 440 Real Analysis (3)

• This course introduces students to the basic analytical structures of the real number and functions, including limits, sequences, series, topology, and continuity. Prerequisites: MATH 220, 240.

MATH 445 Mathematics in Modern Technology (3)

• This course is designed to introduce the student to some of the contemporary mathematical practices that have been developed to address problems relating to such technologies as digital image compression, edge detection and signal de-noising. Using appropriate software the students will learn how to model a variety of filters and advanced mathematical transformations and to apply them to real-life problems. Prerequisite: MATH 141 and 320.

MATH 470 Numerical Methods (3)

• This course will develop the numerical algorithms and error estimates for finding roots, solving equations, and curve fitting. The emphasis is on algorithms with good error characteristics and reduction of round off error. Prerequisites: MATH 240, 320; CPSC 111 or 211.

MATH 480 Operations Research (3)

• This course gives an introduction to both deterministic and stochastic operations research. The covered topics will include the nature of operations research, linear programming, project scheduling, dynamic programming, integer programming, queuing theory and stochastic simulation. Prerequisites: MATH 311 and 320 with grades of C or higher.

MATH 485 Independent Study (Semester hours arranged)

• This experience is taken upon the initiative of a student who seeks to study with a knowledgeable faculty member in order to deepen a specific interest in a particular academic discipline.

MATH 486 Applied Mathematics Internship (Semester hours arranged)

• This course consists of in-depth involvement in an environment that focuses on the use of mathematics to model and solve industrial, administrative, business or governmental problems. The student will work under direct professional supervision. Prerequisites: MATH 220, 240, 311, and 320.

MATH 499 Student Teaching Internship (1)

• This course is designed to provide the student with an opportunity to work with a faculty member in the student's primary Arts and Sciences discipline during the student teaching experience. The course will enhance the student's ability to understand and maximize the relationship between disciplinary subject matter and pedagogy.