Mathematics

# Mathematics

**Stavros Christofi, Chair**

christofis@wcsu.edu

Higgins Hall 102E, Midtown campus

(203) 837-9351

(203) 837-8289 (fax)

* David Burns, Associate Chair*burnsd@wcsu.edu

Higgins Hall 102F, Midtown campus

(203) 837-9346

**Cathy Desisto-Reynolds, Department Secretary**

reynoldsc@wcsu.edu

Higgins Hall 102, Midtown Campus

(203) 837-9299

(203) 837-8289 (fax)

Faculty

D. Burns, Assoc. Chair |
S. Christofi, Chair |
B. Hall |

S. Hayes | S. Lightwood | A. Lubell |

P. Maida | B. Mittag | L. Novozhilova |

C. Rocca | X. Wang |

Adjunct Faculty

M. Abdullah | M. Aldrich | M. Alexandru |

W. Barrett | J. Breen | J. DiGiacomo |

H. Fullman | K. Gancheva | R. Hopkins |

E. Kowalchuk | E. Lehman | C. Myhill |

W. Newsom-Stewart | J. Prizio | M. Saccucci |

E. Tremonte | C. Wallace | E. Wood |

T. Zaloski |

Overview

In the exciting, technologically advanced, and dynamic age we live in, mathematics has become one of the primary players in developing useful solutions to practical problems, receiving its rightful recognition as one of the cornerstone components of discovery and innovation.

Employers from businesses and government agencies to schools and foundations understand more and more the benefits of hiring an employee able to think critically and problem-solve — an employee with the skills that mathematics teaches.

Math Students at WCSU may choose major options in pure or applied mathematics or math education and are challenged to gain mastery in a variety of mathematical areas while fulfilling all requirements of a liberal arts education. The programs are flexible and up-to-date.

Students have the opportunity to pursue their particular mathematical interests by working closely with Western’s dedicated mathematics professors on independent projects. These may be in such diverse areas as analytical and numerical methods for partial differential equations, combinatorics, actuarial math, axiomatic set theory, cryptology, wavelets, topological measure theory, scientific computing and more.

For students who plan to continue with graduate studies in math or a related field, as well as those who look forward to beginning a career upon graduation, studying mathematics at Western will provide the knowledge and skills required to achieve success.

Mission

It is the mission of the mathematics department to contribute to our society’s mathematical competency in a manner consistent with the university’s mission. To accomplish this, the department has defined its goals for the following three constituencies.

- The department supports the development of the mathematics student by providing students with:
- A breadth of knowledge in core areas of mathematics.
- A depth of knowledge in a specific area.
- Strong skills in mathematical communication, problem-solving, mathematical reasoning, and applications to related areas.
- Personalized learning experience in mathematics.

- The department supports the mission of the university by:
- Developing mathematical literacy for all students.
- Meeting the mathematical needs of all majors.
- Providing expertise in mathematics, math education, and statistics.
- Conducting theoretical and applied research in the mathematical sciences.
- Maintaining a wide presence in the university community outside the department.

- The department supports the needs of the community by:
- Providing expertise in mathematics, math education, and statistics.
- Conducting research in the mathematical sciences.
- Providing continuing education and retraining in mathematics and mathematics-based fields.
- Fostering the appreciation of mathematical sciences.

**University Mathematics Testing and Placement Program**

All students admitted to the university are assigned mathematics placement prior to registration. Placement level is determined by SAT scores. A placement test is available for students wishing to place higher than the SAT placement. The purpose of the placement/testing is to determine whether the student possesses the basic quantitative skills needed for success in college-level quantitative studies.

If the student requires additional work in the skills area (SAT below 570), placement will be in MAT 098 Elementary Algebra, MAT 100P Intermediate Algebra Enhanced or MAT 100 Intermediate Mathematics. Otherwise, the student may opt for any general education course appropriate to the student’s educational goals. Students wishing to register for Calculus must have an SAT score of 620 or above. Detailed information can be found on the departmental website.

**Instruction in MAT 100 and MAT 100P**

MAT 100 and 100P are taught following the Emporium Model of instruction. Traditional lecture methods are removed from the course and replaced with individual work and one-on-one help from an instructor or tutor. The text, homework assignments and course exams are part of an online delivery system. This should not be confused with an online class as daily attendance is required. Students use a required Workbook that guides them to the necessary videos, animations and required homework assignments needed during the learning process. The completion of the Workbook is mandatory and is incorporated into the student’s final grade. These courses are designed to have the student constantly engaged in the learning process using adaptive learning technologies. A professor and/or Teacher’s Aide are always present and available to teach/help/guide a student when needed but there is little “Chalk and Talk” in the traditional sense.

** Thomas Grant, Math Emporium Coordinator**granttt@wcsu.edu

Higgins Annex 114A, Midtown campus

(203) 837-9370

(203) 837-8289 (fax)

Degree Programs in Mathematics

Bachelor of Arts

Mathematics

Mathematics with Computer Science Option

Bachelor of Science

Secondary Education: Mathematics

Minor Programs

Mathematics

Bachelor of Arts in Mathematics (B.A.)

Requirements:

Students must complete all general education competency-based requirements, the courses and credits listed below and additional free electives to total a minimum of 120 semester hours, including foreign language and exercise science.

CS 140 Introduction to Programming

MAT 141 Foundational Discrete Mathematics

MAT 150 Math Seminar I

MAT 151 Math Seminar II

MAT 171 or 181, 182, 281 Calculus I, II, & III

MAT 185 Introduction to Symbolic Computation

MAT 207 Proofs

MAT 222 Introductory Statistics

MAT 272 Introduction to Linear Algebra

MAT 282 Ordinary Differential Equations

MAT 332 Introduction to Applied Mathematics

MAT 375 Algebraic Structures

MAT 383 Introduction to Mathematical Analysis

MAT 453 Senior Seminar Experience

* One elective course which completes a sequence in analysis, algebra or applied math.

* One major mathematics course chosen from the department list; Refer to the major program sheet.

* A year sequence from one of the following (May also be used to satisfy general education requirement.) BIO 103-104 or CHE 110-111 or ECO 100-101 or PHY 110-111.

* Two mathematics electives chosen from the department.

**Course Restrictions **

For a complete list of prerequisites, corequisites and other restrictions for all courses, please consult the Course Description section of this catalog.

Bachelor of Arts: Mathematics with Computer Science Option (B.A.)

Requirements:

Students must complete all general education competency-based requirements, the courses and credits listed below, and additional free elective to total a minimum of 122 semester hours, including foreign language and exercise science.

**Mathematics Courses (35 SH)**

MAT 171 or 181, 182, 281 Calculus I, II & III

MAT 150, 151 Mathematics Seminar I and II

MAT 165 Introductory Discrete Mathematics

MAT 207 Proofs

MAT 272 Introduction to Linear Algebra

MAT 375 Algebraic Structures

MAT 282 Ordinary Differential Equations *or* MAT 222 Introductory Statistics

MAT 332 Intro to Applied Mathematics *or* MAT 359 Introduction to the Theory of Computation

MAT 450, 451 Senior Seminar I and II

**Computer Science Courses (19 SH)**

CS 170 Computer Science I

CS 205 Data Modeling and Database Concepts

CS 221 Object Oriented Prog & DS

CS 315 Design and Analysis of Algorithms

CS 350 Object Oriented Software Engineering

*Choose one CS elective from the following list:*

CS 305 Database Applications Engineering

CS 350 Object Oriented Software Engineering

CS 360 Design and Analysis of Algorithms

In addition, students must complete a one-year sequence in natural science from the following: PHY 110-111, or PHY 120-121, or CHE 110-111, or BIO 103-104.

Learning Outcomes

At the completion of their B.A. in Mathematics:

- Students will communicate mathematics in written form, using appropriate mathematical writing conventions.
- Students will read, explain and create mathematical exposition.
- Students will analyze, model and solve problems.
- Students will be required to demonstrate proficiency in a variety of technological tools (computer algebra systems, visualization software, statistical packages and some computer programming language).

*For those completing a BS in Secondary Education,* students will demonstrate competence in the 16 standards for preparation of mathematics teachers as set by the National Council of Teachers of Mathematics. These standards are:

- Knowledge of Mathematical Problem Solving
- Knowledge of Reasoning and Proof
- Knowledge of Mathematical Communication
- Knowledge of Mathematical Connections
- Knowledge of Mathematical Representation
- Knowledge of Technology
- Dispositions
- Knowledge of Mathematics Pedagogy
- Knowledge of Number and Operation
- Knowledge of Different Perspectives on Algebra
- Knowledge of Geometries
- Knowledge of Calculus
- Knowledge of Discrete Mathematics
- Knowledge of Data Analysis, Statistics, and Probability
- Knowledge of Measurement
- Field-Based Experiences

More information about specific indicators can be found on the Math department website at www.wcsu.edu/math.

Bachelor of Science in Secondary Education – Mathematics (B.S.)

Requirements:

See the Department of Education and Educational Psychology within the School of Professional Studies.

Mathematics-Secondary Education (B.S.)

MAT 150 Math Seminar I

MAT 151 Math Seminar II

CS 140 Introduction to Programming

MAT 141 Foundational Discrete Mathematics

MAT 207 Proofs

MAT 171 or 181,182,281 Calculus I, II & III

MAT 242 Foundations of Geometry

MAT 272 Introduction to Linear Algebra

MAT 342 Topics in Geometry

*And one of the following:*

MAT 250 Mathematical Modeling

MAT 251 Problem Solving

MAT 332 Introduction to Applied Mathematics

*And two of the following:
*MAT 281 Calculus III

MAT 212 Math in the Middle Grades

MAT 363 History of Mathematics

MAT 383 Introduction to Analysis

* One major mathematics course from the department list; see major program sheet.

The following are suggested course selections for mathematics majors. Due to the diversity of students’ backgrounds, students must consult with their (math faculty) adviser to select the program sequence that best fits their needs. For example, students with an inadequate math background may have to begin with MAT 170 instead of MAT 181. B.S. majors (elementary and secondary) have professional semester in the fall and student teaching in the spring of their senior year.

Mathematics (B.A.)

**Freshman Year**

Fall Semester |
Spring Semester |

MAT 150 | MAT 151 |

MAT 141 | MAT 182 |

MAT 181 |

**Sophomore Year**

Fall Semester |
Spring Semester |

MAT 185 | MAT 222 |

MAT 207 | MAT 282 |

MAT 272 | MAT 375 |

MAT 281 |

**Junior Year**

Fall Semester |
Spring Semester |

MAT 332 | MAT 467 |

Science Sequence I | Science Sequence II |

MAT 383 |

**Senior Year**

Fall Semester |
Spring Semester |

Math elective | MAT 453 |

Math elective |

** **

Mathematics – Secondary Education (B.S.)

**Freshman Year**

Fall Semester |
Spring Semester |

MAT 150 | MAT 151 |

MAT 141 | MAT 182 |

MAT 181 |

**Sophomore Year**

Fall Semester |
Spring Semester |

MAT 185 | MAT 222 |

MAT 207 | MAT 375 |

MAT 281 | Math elective |

**Junior Year**

Fall Semester |
Spring Semester |

MAT 242 | MAT 342 |

MAT 272 | MAT 383 |

Math elective | Math elective |

**Senior Year**

Fall Semester |
Spring Semester |

Professional semester | Student teaching |

Minor in Mathematics

At least 17 credits in major mathematics courses, including MAT 171 or 181, and MAT 182. In addition, the student must achieve a GPA of 2.0 or better in the courses used to fulfill the minor requirements.