College of Arts and Sciences

Department of Mathematics and Statistics

Mahmoud Anabtawi, Head

Faculty

• Zayid Abdulhadi
  
• Taher Abualrub
  
• Marwan Abukhaled
  
• Yusuf Abu Muhanna
  
• Ghada Alobaidi
  
• Diana Audi
  
• Ayman Badawi
  
• Ibrahim El-Sadek
  
• James Griffin
  
• Gajath Gwunatillake
  
• Abdul Hadi (sabbatical Fall 2007)
  
• Suheil Khoury
  
• Saadia Khouyibaba
  
• Ismail Kucuk
  
• Guillaume Leduc
  
• Timothy Marshall
  
• Mujo Mesanovic
  
• David Radnell
  
• Ali Sayfy
  
• Padmapani Seneviratne
  
• Hana Sulieman
  
• Luis Wills
  
• Thomas Wunderli
  
• Elias Zikkos

Bachelor of Science in Mathematics (BSMTH)

The purpose of the Bachelor of Science in Mathematics program is to expose students to the theoretical foundations of mathematics, to provide them with understanding of the broad outlines of modern mathematics and its applications in a variety of disciplines, to stimulate their interest in research, and to prepare them for future work. Innovative teaching and learning environments provide opportunities for students to develop critical thinking and general problem solving strategies. The Department of Mathematics and Statistics specifically strives to ensure success in finding appropriate employment as well as success in graduate work for those desiring to pursue their formal education.

The Department of Mathematics and Statistics seeks to develop campuswide the level of mathematical skills and quantitative and logical reasoning required for individuals to make informed decisions and excel in their chosen disciplines. It also seeks to develop these same skills in the larger community. The department aims to provide students with the mathematical ability needed to fulfill future leadership roles.

Program Objectives

The main objective of the program is an in-depth experience in undergraduate mathematics. It will provide the student with:

• a strong background in all of the calculus-based courses, including advanced calculus and differential equations
  
• the skills needed to successfully produce mathematical proofs on an undergraduate level
  
• exposure to diverse areas of mathematics, such as analysis, algebra, applied mathematics, discrete mathematics, and probability and statistics
  
• an understanding of discrete phenomena and digital information environments, as well as rigorous algorithmic foundations and better modeling tools
  
• the ability to think critically and independently about problems, which will develop in the student an aptitude for mathematical reasoning
  
• the mathematical and computing skills necessary to describe and solve technical problems that arise in business and industry
  
• a solid foundation of mathematics courses necessary for possible graduate study

Program Outcomes

After completion of the mathematics program, graduates should:

• demonstrate knowledge and understanding of diverse areas in mathematics such as analysis, algebra, discrete mathematics, and applied mathematics
  
• be able to construct and communicate effectively valid mathematical arguments
  
• demonstrate the ability to pursue a graduate degree in mathematics or mathematical sciences
  
• demonstrate the ability to be future teachers with a solid grounding in the ideas and techniques of mathematics
  
• be able to apply mathematical analysis and mathematical skills to problems in other disciplines
  
• be able to use discrete mathematical concepts in context such as algorithm development, computer programming, networks and other disciplines
  
• identify and carry out thoughtful approaches to problem solving
  
• define simple research tasks and carry them out, and assist in more complex research tasks as required for professional work
  
• be able to formulate a problem in mathematical terms from a description in engineering, physical, chemical, financial or biological language
  
• demonstrate the ability to adapt to change and remain current in the field and continue to learn new information, skills and concepts
  
• demonstrate appreciation for the beauty, utility and impact of mathematics and statistics

Admission

Formal admission to the program follows AUS’s admission requirements. Students transferring into the program must have a cumulative GPA of 2.0 or higher and permission of the head of the Department of Mathematics and Statistics.

Degree Requirements

A minimum of 122 credits, including the following, is required as follows:

• a minimum of 44 credits of general education requirements
  
• a minimum of 63 credits of major requirements and major electives
  
• a minimum of 15 credits of free electives
  
• a minimum CGPA of 2.0

Major Requirements (33 credits)

• MTH 104 Calculus II
• MTH 203 Calculus III
• MTH 205 Differential Equations
• MTH 213 Discrete Mathematics
• MTH 221 Linear Algebra
• MTH 311 Intermediate Analysis
• MTH 312 Advanced Calculus
• MTH 320 Modern Algebra with Applications
• MTH 343 Numerical Analysis
• MTH 350 Introduction to Probability
• MTH 490 Senior Project

Major Electives (minimum of 30 credits)

Math Electives (minimum of 15 credits)

After consulting with their academic advisors, students should complete a minimum of 15 credit hours, with at least 6 at the 400 level, as major electives from the following list of courses:

• MTH 313 Number Theory and its Applications
• MTH 330 Fundamental Concepts of Geometry
• MTH 351 Methods of Applied Mathematics
• MTH 360/STA 360 Probability and Stochastic Processes
• MTH 382 Linear Programming and Optimization
• MTH 412 Complex Variables
• MTH 418 Graph Theory
• MTH 420 Advanced Modern Algebra
• MTH 431 Dynamical Systems
• MTH 432 Partial Differential Equations
• MTH 494 Special Topics in Mathematics
• MTH 496 Independent Study

Electives in Related Areas (minimum of 15 credits)

Students must also complete a minimum of 15 credit hours at the 200 level or above in areas such as sciences, engineering and computer science, economics and finance with the approval of the advisor.

Free Electives (minimum of 15 credits)

Students must complete a minimum of 15 credit hours of free electives. 

Minor in Applied Computational Mathematics

Students enrolling the applied and computational mathematics minor should have normally completed a minimum of 30 credits of course work and be in good academic standing.
The following rules apply:

• The minor consists of a minimum of 18 credits, including at least nine credits in courses at or above the 300 level.
• At least nine credits of the 18 credits required for the minor must be taken in residence at AUS.
• At least six credits of the nine credits at or above the 300 level must be taken in residence at AUS.
• Free electives can be taken toward the minor.
• A grade of at least C- in each course and a GPA of at least 2.0 must be earned in courses taken to satisfy the minor.

Students seeking a minor in applied and computational mathematics must complete the following courses or their equivalent. All course prerequisites must be satisfied.

This minor is not open to students majoring in mathematics.

Minor Requirements (12 credits)

• MTH 205 Differential Equations
• MTH 221 Linear Algebra
• MTH 341 Computational Methods
• MTH 351 Methods of Applied Mathematics

Minor Electives (minimum of 6 credits)

Students must complete two courses for a minimum of six credits in mathematics and/or statistics at the 300 level or above with the approval of the department.

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