AUC Banner
cat04

Main Page

Table of Contents


 

General Information

Undergraduate Studies

Graduate Studies

Research

Continuing Education & Training Programs

Appendix: Personnel & Enrollment

 

1A3B7900 1A3B8362 1A3B8052
undergrad
 Mathematics

School of Sciences and Engineering

Professors: M. Abd-el-Malek, A. Hadi, N. Moussa, M. Moustafa, M. Youssif                                                                                
Associate Professors: G. DeYoung, M. Hebert (Chair)
Assistant Professor: M. El Ashram

Mathematics is the study of relationships among quantities, magnitudes and properties.  It uses logical operations to find order within the appearance of chaos and to identify intrinsic relations and patterns among seemingly disparate questions and problems.  The techniques of mathematics may be applied to a wide array of problems, such as the design and analysis of experiments, statistics and data analysis, mathematical modeling and operations research.  As the "language" of science, it constitutes the theoretical background for computer science, engineering, and the natural sciences.  The Department of Mathematics, recognizing the central position of mathematics in traditional liberal studies, provides a rigorous foundation in pure as well as applied mathematics, equipping students for further study and preparing them to use their mathematical skills in many different employment arenas.

Bachelor of Science

The Bachelor of Science degree in Mathematics develops a level of skill that will enable the student to apply his/her knowledge in industry or teaching, as well as prepare the student for advanced study of mathematics and other fields.

A total of 130 credits is required for the bachelor's degree in mathematics. Students may be exempted from the MATH 131 requirement by passing a placement examination.

Core Curriculum (40 credits)
The science requirements of the core curriculum electives are satisfied by the collateral requirements of the major.

Concentration Requirements (63 credits)

CSCI

106

Fundamentals of Computer Science, 3 cr.

MATH

112

Statistical Reasoning, 3 cr.

 

131

Calculus I, 3 cr.

 

132

Calculus II, 3 cr.

 

200

Discrete Mathematics, 3 cr.

 

231

Calculus III, 3 cr.

 

232

Calculus  IV, 3 cr.

 

233

Differential Equations, 3 cr.

 

302

Real Analysis I, 3 cr.

 

303

Linear Algebra, 3 cr.

 

304

Numerical Methods, 3 cr.

 

306

Applied Probability, 3 cr.

 

401

Complex Function Theory, 3 cr.

 

403

Modern Algebra, 3 cr.

 

Additional 21 math credits excluding MATH 100 and MATH 101. These courses may be used to satisfy the Statistics and Data Analysis Option requirements.

Collateral Requirements (14 - 16 credits)
To be chosen among the following:

CHEM

105&115L

(4 credits)

CHEM

106&106L

(4 credits)

BIOL

104

(4 credits)

BIOL

105

(4 credits)

PHYS

111&123L

(4 credits)

PHYS

112&124L

(4 credits)

CSCI

110

(3 credits)

CSCI

210

(3 credits)

 


Electives (15 to 17 credits)
Courses to be chosen in consultation with the adviser, excluding MATH 100, MATH 101.
 

Statistics and Data Analysis Option:

Within the bachelor degree in Mathematics, students may choose the Statistics and Data Analysis Option by taking the following courses:

The 21 credits of concentration electives must include:

MATH

307

Applied Regression Methods, 3 cr.

 

404

Applied Multivariate Analysis, 3 cr.

 

405

Statistical Inference, 3 cr.

 

 


and a minimum of 9 credits selected from the following:

MATH

308

Linear Programming, 3 cr.

 

310

Operations Research, 3 cr.

 

312

Mathematical Modeling, 3 cr.

 

406

Stochastic Processes, 3 cr.

 

409

Selected Topics in Mathematics, 3 cr.

 

410

Guided Studies in Mathematics, 1-3 cr.

 

 

Minor in Mathematics

The minor in Mathematics will acquaint non-mathematics majors with the diversity of the field and enhance the student's ability to formulate and solve problems in other disciplines.

Requirements (15 credits)
For students majoring in the Science & Engineering School:                                                            MATH 233, MATH 303, and 3 courses among:
MATH 232 and the 300-level and 400-level MATH courses.

For all the other students:
MATH 112, MATH 131, and any other 3 MATH courses (excluding MATH 100 and MATH 101).

Minor in Applied Probability and Statistics

Applied Probability and Statistics are essential tools for analyzing data in various fields. A minor in Applied Probability and Statistics will prepare students and enhance their abilities to understand and solve problems in their own major fields. The minor in Applied Probability and Statistics is also designed to meet a demand by industry and governmental agencies for personnel who are able to utilize appropriate statistical and other quantitative methods to solve problems as diverse as quality control and population dynamics and to facilitate wise decision making in the face of uncertainty.

Requirements  (15 credits)
MATH 112, MATH 306 and MATH 307, and two courses from the following: MATH 404, 405, 406.

Bachelor of Science in Actuarial Science

The life of nearly every one is impacted by the work of actuarial experts. Actuarial experts apply mathematical models to improve financial decision-making by evaluating the financial implications of uncertain future events. See the Mathematics Department's Web site for a more detailed description of the work of actuarial experts.  The number of certified actuarial experts in Egypt is notoriously low, whereas the demand for actuarial experts is very high. Actuarial experts are well paid. They are employed by a large variety of organizations, such as insurance companies, actuarial consulting firms, banks and other financial institutions, and government agencies like the Egyptian Insurance Supervisory Authority (EISA).

To be able to solve the problems of evaluating and measuring risk, an actuarial expert has to be trained in the disciplines of mathematics, probability, statistics, economics, finance, business law, accounting, and marketing. An actuarial expert must also know how to use computers and acquire communications skills to explain ideas to non-actuaries.

Because of the important financial implications of actuarial work, and the incomprehensibility of this work to many outside the actuarial profession, actuarial associations are set up in many countries to regulate the profession, set business ethics, and maintain disciplinary procedures for members.

A person becomes certified as an actuarial expert by passing a series of examinations offered by an actuarial society. Examples of these organizations are:

  • The American Society of Actuaries, SOA (www.soa.org)
  • The American Casualty Actuarial Society, CAS (www.casact.org)
  • The British Institute of Actuaries/Faculty of Actuaries
    (www.actuaries.org.uk/index2.html)

Upon passing a certain number of examinations, a person is designated as an Associate Actuary. After becoming an Associate, a person can choose to take a few more examinations to receive the higher designation of a Fellow Actuary. The number of examinations required for Associate or Fellow designations depends on the society. For a more detailed list of various designations see www.beanactuary.org/whatis/desig.htm. The Egyptian Society of Actuaries (ESOA) is one of about 50 actuarial associations (see www.actuaries.org/public/en/membership/full.cfm and www.beanactuary.org/whatis/organizations.htm). These associations are members of the International Actuarial Association, IAA (www.actuaries.org), which reviews and approves the standards and bylaws of all member associations. Actuarial associations vary in size. For example, the SOA membership exceeds 17,000 members, whereas the ESOA currently has less than 10 members of which only two are Fellows.

In Egypt, once a person becomes an Associate Actuary, he/she becomes eligible to obtain a license from the Egyptian Insurance Supervisory Authority (EISA) to work as an Actuarial Expert. One objective of the program leading to the Bachelor of Science degree is to reduce the huge gap between supply and demand for actuarial experts in Egypt. The program prepares students for taking the first four examinations jointly offered by the Society of Actuaries and the Casualty Actuarial Society. Consequently, the degree helps graduates to obtain the actuarial license from the Egyptian Insurance Supervisory Authority and also to compete in the international job market for Actuarial Experts.

A total of 133 credits are required for the Bachelor of Science degree in Actuarial Science. Students may be exempted from MATH 131 requirement by passing a placement examination. Students who pass a placement examination will be required to complete 130 credits. Students can be admitted to the Actuarial Science Major at either their freshman or sophomore years. See the Mathematics Department's Web site for a sample schedules for completing the requirements for the B.Sc. degree in Actuarial Science.

The following are the requirements for the Bachelor of Science degree in Actuarial Science:

Core Curriculum (40 credits)

Concentration Requirements (54 credits)

MATH

112

Statistical Reasoning

 

131

Calculus I

 

132

Calculus II

 

231

Calculus III

 

232

Calculus IV

 

303

Linear Algebra

 

306

Applied Probability

 

307

Applied Regression Methods

 

308

Linear Programming

 

312

Mathematical Modeling

 

321

Mathematics of Investment

 

421

Actuarial Mathematics

 

404

Applied Multivariate Analysis

 

405

Statistical Inference

 

406

Stochastic Processes

 

407

Bayesian Statistics and Credibility Theory

 

408

Analysis of Survival and Lifetime Data

 

411

Analysis of Time Series Data

 


Collateral Requirements (33 credits)

ACCT

211

Financial Accounting

BADM

403

Business Law (Commercial and Fiscal)

CSCI

106

Fundamentals of Computer Science

ECON

201

Introduction to Economics I

ECON

202

Introduction to Economics II

ECON

301

Macroeconomic Theory

ECON

302

Microeconomic Theory

FINC

303

Business Finance I

FINC

415

Portfolio Theory and Its Applications

FINC

425

Topics in Financial Management

MATH

412

Insurance Law and Regulations (Same as BADM 407)

 


Electives (6 credits)

Courses should be selected by the student in consultation with the advisor. The following courses are recommended as electives:

ACCT

212

Managerial Accounting and Analysis

CSCI

110

Structured Programming

CSCI

210

Data Structures and Algorithms

CSCI

253

Fundamentals of Database Systems

CSCI

453

Database Systems

ECON

418

Introduction to Econometric Methods

FINC

404

Business Finance II

MATH

304

Numerical Methods

MATH

409

Selected Topics in Mathematics

MATH

410

Guided Studies in Mathematics

MKTG

302

Principles of Marketing

MKTG

405

Marketing Research

ORGN

304

Personnel Management

SYST

305

Office Technology Applications

SYST

406

Management Information Systems

SYST

431

Management Information Technology

SYST

432

Information and Decision Support Systems


Mathematics Courses (MATH)

 CourseNum CourseTitle

100

Algebra and Trigonometry

101

Basic Mathematics for Social Sciences

112

Statistical Reasoning

131

Calculus I

132

Calculus II

199

Selected Topic for Core Curriculum

200

Discrete Mathematics

231

Calculus III

232

Calculus IV

233

Differential Equations

301

Seminar in Mathematics

302

Real Analysis I

303

Linear Algebra

304

Numerical Methods

305

Introduction to PDE and Boundary-Value Problems

306

Applied Probability

307

Applied Regression Methods

308

Linear Programming

310

Operations Research

312

Mathematical Modeling

321

Mathematics of Investment

362

Formal and Mathematical Logic

401

Complex-Function Theory

402

Real Analysis II

403

Modern Algebra

404

Applied Multivariate Analysis

405

Statistical Inference

406

Stochastic Processes

407

Bayesian Inference and Credibility Theory

408

Analysis of Survival and Lifetime Data

409

Selected Topics in Mathematics

410

Guided Studies in Mathematics

411

Analysis of Time Series Data

412

Insurance Law and Regulations

421

Actuarial Mathematics

495

Senior Thesis and Seminar

 

 

© 2004-2005, The American University in Cairo