Mathematics

**David Burns, Chair**

burnsd@wcsu.edu

Higgins Hall 102, Midtown campus

(203) 837-9346

(203) 837-8289 (fax)

**Cathy Desisto-Reynolds, Department Secretary**

reynoldsc@wcsu.edu

Higgins Hall 102, Midtown Campus

(203) 837-9299

(203) 837-8289 (fax)

Faculty

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

J. Hamer | S. Hayes | R. Kutz |

S. Lightwood | A. Lubell | P. Maida |

B. Mittag | L. Novozhilova | C. Rocca |

X. Wang |

Adjunct Faculty

M. Aldrich | G. Bocaccio | C. Boyhen |

J. Breen | J. DiGiacomo | M. Fogarty |

R. Hopkins | E. Kowalchuk | E. Lehman |

D. Nocturne | J. Prizio | M. Sacucci |

W. Barrett | C. Wallace | R. Wollkind |

G. Green | J. Stango | S. Zencey |

Overview

The mathematics programs offered by the department are designed to meet the needs of students interested in pure or applied mathematics or mathematics education. The programs are flexible and kept up-to-date. They can accommodate students who plan to continue with graduate studies in mathematics or related fields as well as those who want to enter the profession directly from college.

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 will be tested in mathematics prior to registration. The purpose of the testing is to determine whether the student possesses the basic quantitative skills needed for success in college-level quantitative studies. The student will be placed in a mathematics course according to test scores.

If the student requires additional work in the skills area, placement will be in MAT 098 Elementary Algebra or MAT 100 Intermediate Mathematics. Otherwise, the student may opt for any general education course appropriate to the student’s educational goals. Student who receives a 600 or higher score on the mathematics section of the SAT are exempt from taking the placement test. These students must register for and pass a general education course in order to satisfy the university’s mathematics requirement.

*Modes of Instruction*

MAT 098 Elementary Algebra and

MAT 100 Intermediate Mathematics

**Descriptions and Policies**

MAT 098 Elementary Algebra and MAT 100 Intermediate Mathematics are offered via three different modes of delivery: self-paced (SP), self-paced with lecture (SP-L) and lecture (L). In each type of class, there is an instructor present and available during all class meetings. For all MAT 098 and MAT 100 classes, attendance is mandatory and rules of attendance are strictly adhered. Failure to adhere to the attendance policy will result in a letter from the department chair to the student, followed by a second letter to the student’s adviser and school dean, and finally, a phone call from the department chair. The department enacted these policies after careful analyses of student performance in the classes. It was found that students who attend class pass the class at a significantly higher rate than students who do not attend class. Students taking MAT 098 in an SP or SP-L class have the opportunity to pass both MAT 098 and MAT 100 during the same semester.

**Definitions of class types**

*Self-paced (SP)*: These classes are totally student directed. Students work at their own pace using a web-based learning system. Concepts have been designated for students to master. Students are directed through these concepts based on their performance on periodic assessments. Passing levels for MAT 098 and MAT 100 are preset, based on these concepts. An instructor is available in class to help students with concepts they cannot grasp from the computer-generated explanations. The instructor might choose to lead a discussion with the entire class if he/she sees that all students are having trouble in a particular area. The web-based learning system that is currently being used for these classes is ALEKS.

Students who are self-motivated, comfortable using the computer, like flexible learning schedules and are able to set their own goals and study times are best served with SP classes.

*Self-paced with lecture (SP-L*): These classes use both a web-based learning system, and instructor lectures. All students are expected to participate in the lecture portion of the class, which generally runs about a third of the class. During the remaining time in class, students work at their own pace through lessons on the computer. At this time, the instructor is available for help and support. All students are required to complete a departmental midterm and final as part of their assessment. Instructors may require additional homework and quizzes as part of student assessment. The web-based learning system currently being used for these classes is MyMathLab.

Students who are self-motivated and comfortable using the computer are best served with SP-L classes. Learning schedules in SP-L classes are less flexible than in SP classes, which offer students stricter goals and schedules.

*Lecture: *These classes use the traditional lecture style delivery. Students all work at the same pace, doing the same problems and examples. Most of the work is completed using traditional paper and pencil delivery. All students are required to complete a departmental midterm and final as part of their assessment. Some homework and tests can be assigned to be completed using the web-based learning system, currently MyMathLab.

These classes best serve those students who need the structure of a traditional classroom setting. Students who have been “away from” mathematics for a long time and who are not comfortable using the computer generally will do better in these classes.

Otherwise, the student may opt for any general education course appropriate to the student’s educational goals.

Student who receive a 600 or higher score on the mathematics section of the SAT are exempt from taking the placement test. These students must register for and pass a general education course in order to satisfy the university’s mathematics requirement.

Degree Programs in Mathematics

Bachelor of Arts

Mathematics

Mathematics with Computer Science Option

Bachelor of Science

Elementary Education: Mathematics

Secondary Education: Mathematics

Minor Programs

Mathematics

Mathematics for Elementary Education Majors

Bachelor of Arts in Mathematics (B.A.)

Requirements:

Students must complete all general education requirements, the courses and credits listed below and additional free electives to total a minimum of 122 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 Differential Equations

MAT 332 Introduction to Applied Mathematics

MAT 375 Algebraic Structures

MAT 383 Introduction to Mathematical Analysis

MAT 450 Senior Seminar I

MAT 451 Senior Seminar II

* 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 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 (36-37 SH)**

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

MAT 165 Introductory Discrete Mathematics

MAT 272 Introduction to Linear Algebra

MAT 282 Ordinary Differential Equations

MAT/CS 359 Introduction to the Theory of Computation

One full-year sequence chosen from: MAT 431-432 or MAT410-411. Two mathematics electives chosen from departmentlist. See program sheet.

**Computer Science Courses (19 SH)**

CS 170, 171 Computer Science I and II

CS 315 Design and Analysis of Algorithms

CS 350 Object Oriented Software Engineering

One CS elective from department list. See major program sheet.

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 Elementary and Secondary Education – Mathematics (B.S.)

Requirements:

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

Major Mathematics-Elementary Education (B.S.)

MAT 150 Math Seminar I

MAT 151 Math Seminar II

MAT 171 or 181, 182 Calculus I & II

MAT 120 Elementary Statistics

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

or MAT 251 Posing & Solving Problems

or MAT 363 History of Mathematics

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

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

or MAT 251 Problem Solving

or MAT 332 Introduction to Applied Mathematics*And two of the following:*MAT 281 Calculus III

or MAT 212 Math in the Middle Grades

or MAT 363 History of Mathematics

or 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 207 |

MAT 181 | MAT 182 |

**Sophomore Year**

Fall Semester |
Spring Semester |

MAT 185 | MAT 222 |

MAT 272 | MAT 282 |

MAT 281 | MAT 375 |

**Junior Year**

Fall Semester |
Spring Semester |

MAT 332 | MAT 467 |

Science Sequence I | Science Sequence II |

MAT 383 |

**Senior Year**

Fall Semester |
Spring Semester |

MAT 450 | MAT 451 |

Math elective | Math elective |

Mathematics – Elementary Education (B.S.)

**Freshman Year**

Fall Semester |
Spring Semester |

MAT 150 | MAT 151 |

MAT 105 | MAT 120 |

MAT 181 | MAT 182 |

**Sophomore Year**

Fall Semester |
Spring Semester |

MAT 1242 | MAT 342 |

MAT 281 | Math Elective |

**Junior Year**

Fall Semester |
Spring Semester |

MAT 272 | MAT elective |

MAT elective | MAT elective |

**Senior Year**

Fall Semester |
Spring Semester |

Professional semester | Student teaching |

Mathematics – Secondary Education (B.S.)

**Freshman Year**

Fall Semester |
Spring Semester |

MAT 150 | MAT 151 |

MAT 141 | MAT 207 |

MAT 181 | MAT 182 |

**Sophomore Year**

Fall Semester |
Spring Semester |

MAT 185 | MAT 222 |

MAT 242 | MAT 342 |

MAT 281 | Math elective |

**Junior Year**

Fall Semester |
Spring Semester |

MAT 272 | MAT 375 |

Math elective | MAT 383 |

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.

Minor in Mathematics for Elementary Education Majors

At least 17 credits to include MAT 171 or 181, MAT 182, MAT 120, MAT 242 and at least one of the following: MAT 211, MAT 363 or MAT 251. Additionally, MAT 105 is required, as it is for all elementary education certification students.