# Bachelor of Science in Mathematics

## Mission

The mission of the Bachelor of Mathematics is to offer a quality and a broad education in mathematics, supported by a foundation in the liberal arts. The program aims at providing its graduates with the knowledge and skills to teach at all school levels, and to pursue higher degrees in mathematics and other related fields.

## Program Objectives

The B.S. in Mathematics seeks to:

- provide students with a strong background in the skills of logic, reasoning, critical thinking, and relevant technology,
- cover the traditional aspect of mathematics major and supplements it with courses covering contemporary mathematical topics,
- provide students with a broad exposure to those fields of mathematics that are useful in the physical sciences, engineering, and others,
- provide specific courses designed for students who plan to become teachers of mathematics (in case they plan to complete a Teaching Diploma), and
- provide the appropriate mathematical background for students who wish to pursue graduate studies in mathematics or other related fields.

## Learning Outcomes

Upon completion of the B.S in Mathematics, students should be able to:

- exhibit an understanding of the nature of mathematics,
- reason with abstract concepts,
- follow complex mathematical arguments and develop mathematical arguments of their own,
- understand and assess mathematical proofs and construct appropriate mathematical proofs of their own,
- communicate mathematical ideas, proofs and conclusions successfully,
- understand the branches of mathematics and how they are related,
- demonstrate knowledge of fundamental areas in mathematics such as algebra, analysis, and probability and statistics, with the opportunity to become acquainted with the fields of number theory, mathematical logic, combinatorics, geometry and topology, and others,
- relate the different branches of mathematics,
- demonstrate knowledge of areas of applied mathematics such as dynamical systems, numerical analysis, graph theory, and others, and
- perform symbolic and numeric computations using appropriate mathematical tools.

## Curriculum

A total of **92 credits** are required to graduate, as per the following:

- Mathematics Core Courses (30 credits)
- Mathematics Electives (15 credits)
- Computer Science Requirement (3 credits)
- Computer Skills (1 credit)
- Restricted Electives (6 credits)
- Free Electives (7 credits)
- Liberal Arts Core Curriculum (6 credits)
- Liberal Arts Electives (24 credits)

### Mathematics Core Courses (30 credits)

- MTH201 Calculus III (3 cr.)
- MTH206 Calculus IV (3 cr.)
- MTH207 Discrete Structures I (3 cr.)
- MTH301 Linear Algebra (3 cr.)
- MTH305 Probability & Statistics (3 cr.)
- MTH311 Abstract Algebra (3 cr.)
- MTH401 Real Analysis I (3 cr.)
- MTH403 Introduction to Complex Analysis (3 cr.)
- MTH409 Introduction to Topology (3 cr.)

Students choose 3 credits from:

### Mathematics Electives (15 credits)

- MTH302 Geometry (3 cr.)
- MTH303 Numerical Methods (3 cr.)
- MTH304 Differential Equations (3 cr.)
- MTH306 Nonlinear Dynamics & Chaos (3 cr.)
- MTH308 Number Theory (3 cr.)
- MTH309 Graph Theory (3 cr.)
- MTH310 Set Theory (3 cr.)
- MTH400 Advanced Linear Algebra (3 cr.)
- MTH410 Real Analysis 2 (3 cr.)
- MTH411 Advanced Topics in Abstract Algebra (3 cr.)
- MTH498 Topics in Mathematics (3 cr.)

### Computer Science Requirement (3 credits)

- CSC243 Object-Oriented Programming (3 cr.)

### Computer skills (1 credit)

- CSC201 Computer Applications (1cr.)

### Restricted Electives (6 credits)

Students are required to complete six credits numbered 200 or above from Computer Science, Engineering, Chemistry, Physics, Biology, or Actuarial Science.

### Free Electives (7 credits)

### Liberal Arts Core Curriculum (6 credits)

### Liberal Arts Electives (24 credits)

- Arts and Humanities (min. 6 credits)
- Natural Sciences and Mathematics (min. 3 credits)
- Social Sciences (min. 3 credits)

## Recommended Study Plan

### Year One

**Fall (16 credits)**

- MTH201 Calculus III (3 cr.)
- MTH207 Discrete Structures I (3 cr.)
- CSC201 Computer Applications (1 cr.)
- CSC243 Object Oriented Programming (3 cr.)
- ENG202 Sophomore Rhetoric (3 cr.)
- LAS (3 cr.)

**Spring (15 credits)**

- MTH301 Linear Algebra (3 cr.)
- MTH305 Probability & Statistics (3 cr.)
- MTH206 Calculus IV (3 cr.)
- COM203 Art of Public Communication (3 cr.)
- Restricted Elective (3 cr.)

### Year Two

**Fall (16 credits)**

- MTH401 Real Analysis I (3 cr.)
- MTH311 Abstract Algebra (3 cr.)
- MTHxxx Math Elective (3 cr.)
- Restricted Elective (3 cr.)
- LAS (3 cr.)
- Free Elective (1 cr.)

**Spring (15 credits)**

- MTH403 Introduction to Complex Analysis (3 cr.)
- MTH409 Introduction to Topology (3 cr.)
- MTHxxx Math Elective (3 cr.)
- Free Elective (3 cr.)
- LAS (3 cr.)

### Year Three

**Fall (15 credits)**

- MTH410 Real Analysis II OR MTH411 Advanced Abstract Algebra(3 cr.)
- MTHxxx Math Elective (3 cr.)
- LAS (3 cr.)
- LAS (3 cr.)
- LAS(3 cr.)

**Spring (15 credits)**

- MTHxxx Math Elective (3 cr.)
- MTHxxx Math Elective (3 cr.)
- Free Elective (3 cr.)
- LAS (3 cr.)
- LAS (3 cr.)