MACT 132/1122

Calculus II

Definite and indefinite integrals. The fundamental theorem of calculus and applications of the definite integral. Area, arc length, volumes and surfaces of revolution. Differentiation and integration of Exponential, Logarithmic, Trigonometric and other Transcendental functions. Techniques of integration. Numerical integration. Improper integrals

MACT 112/1221

Statistical Reasoning

Descriptive and inferential statistics, including graphing data and correlation analysis. Random variables and their probability distributions. The distribution of the sample means, the central limit theorem. Point and interval estimation and hypotheses testing. Students are instructed on the use of a statistics computer package at the beginning of the term and use it for assignments.

MACT 200/2131

Discrete Mathematics

Logic and Proofs: Basic propositional and predicate logic, rules of inference, direct and indirect proof methods (including contraposition and contradiction). Sets: Set operations, functions, sequences and finite series, infinite cardinalities, and matrices. Integers: divisibility and modular arithmetic, primes and the Fundamental Theorem of Arithmetic, the greatest common divisor, proofs by regular and strong mathematical induction. Combinatorics: Permutations and combinations, the Pigeonhole Principle. Relations and their properties, representing relations using Boolean matrices and digraphs, equivalence relations.

MACT 231/2123

Calculus III

Sequences and series (including power series). Vectors and planes. Surfaces. Partial differentiation. Introduction to double integrals (including double integrals in polar coordinates).

MACT 232/2124

Calculus IV

Multiple integrals. Parametric equations. Cylindrical and spherical coordinates. Vector-valued functions, vector calculus: Green’s Theorem, Gauss Theorem and Stokes’ Theorem and their applications. Complex numbers.

MACT 233/2141

Differential Equations

First-order differential equations and applications. Higher-order differential equations. Applications of second-order linear differential equations with constant coefficients. Systems of linear differential equations. Series solutions. Laplace transform.

MACT 210/2222

Statistics for Business

The course aims at acquainting the students with the basic statistical methods in a business context. The course demonstrates the relevance of the statistical methods in making decisions in the different areas of business: accounting, finance, human resource management, marketing, operations, management of information systems, and more. The course covers the following: descriptive statistics, random variables and continuous probability distributions, sampling distributions, estimation and confidence intervals, one-sample hypothesis testing, inferences from two samples, Chi-Square tests, analysis of variance and simple linear regression.

MACT 317/3224

Probability and Statistics

A course designed for computer science and engineering students. Probability is used to construct parametric models that often arise in computer science and engineering problems. Statistics is then used to estimate the parameters of these models based on available data, check the adequacy of the fitted models, and test specific hypotheses. Topics include random variables and their probability distributions including uniform, binomial, geometric, Poisson, normal, and exponential distributions; expected value of functions of random variables; stochastic simulation; sampling distributions; maximum likelihood and least squares methods of estimation; statistical inference including hypothesis testing and interval estimation.

MACT 321/3311

Introduction to Financial Mathematics

The most commonly used mathematical functions for computing interest and discount rates are discussed. This includes simple, compound, and other forms of interest used in financial valuations, accumulated value and present value, annuities, sinking funds, amortization of debt, and determination of yield rates on securities. The theory developed in the first part of the course is then applied to the valuation of bonds, mortgages, capital budgeting, depreciation methods, and other financial instruments. Zero-coupon bond, term structure of interest rates, coupon bonds, modified and Macaulay durations, convexity.

MACT 240/2132

Linear Algebra

Solutions of systems of linear equations. Matrices and determinants. The space Rn, vector spaces and subspaces. Linear independence, basis and dimension. Inner product and orthonormal bases. Linear transformations. Eigenvalues and eigenvectors. Diagonalization. Various applications.

MACT 308/3144

Linear Programming

Formulation of linear programming problems, graphical solutions, the simplex method. The revised simplex method, dual problems and sensitivity analysis. Transportation and assignment problems.

MACT 321/3311

Introduction to Financial Mathematics

The most commonly used mathematical functions for computing interest and discount rates are discussed. This includes simple, compound, and other forms of interest used in financial valuations, accumulated value and present value, annuities, sinking funds, amortization of debt, and determination of yield rates on securities. The theory developed in the first part of the course is then applied to the valuation of bonds, mortgages, capital budgeting, depreciation methods, and other financial instruments. Zero-coupon bond, term structure of interest rates, coupon bonds, modified and Macaulay durations, convexity.

ECON 216/2061

Mathematics for Economists I

Algebraic methods. Calculus of a single variable. Composite functions, limits and asymptotes, continuity, simple and implicit differentiation, Taylor’s theorem, maxima and minima and points of inflection, logarithmic and exponential functions. Introduction to integral calculus. Applications to economic theory and business finance.

ECON 316/3061

Mathematics for Economists II

The first part of the course is matrix algebra which covers the following: determinant, rank, matrix inverse, Cramer’s rule, eigenvalues and eigenvectors. The second part discusses multivariate functions and partial derivatives as well as unconstrained and constrained optimization. Homogeneous and homothetic properties of multivariate functions are also discussed. The third part of the course is advanced integral calculus. Economic applications are emphasized throughout the course.

ECON 202/2011

Introduction to Microeconomics

Fundamental economic concepts and methods of economic analysis with emphasis on microeconomic issues. Analyzes basic principles of market economics including resource allocation, opportunity cost, core elements of demand and supply, market equilibrium, elasticity, pricing, market structure, and trade exchange. Labor and capital markets, market efficiency, regulation, and social welfare implications.

ECON 218/2081

Statistics for EconomistsI

The course covers descriptive and sample inferential statistical techniques, including main descriptive statistics and data sources and types. Topics include point estimation and statistical estimators’ desirable properties, hypothesis testing, correlation, and analysis of variance (ANOVA). Applications in Economics and Business are emphasized.

PHYS 100/1001

Physics for Poets

A conceptual overview of classical and modern physics. Mechanics, properties of matter, heat, sound, electricity and magnetism, light, atomic and nuclear physics, relativity theory.

PHYS 111/1011

Classical Mechanics, Sound and Heat

An introduction to classical mechanics covering vectors, applications of Newton’s laws, conservation laws and forces, motion in a plane, circular motion, equilibrium and elasticity, rotational motion, simple harmonic motion, energy and power; mechanical and sound waves, temperature, heat and the first law of thermodynamics.

PHYS 112/1021

Electricity and Magnetism

An introduction to electricity and magnetism covering the electric field, Gauss’s law, electric potential, capacitance, dc circuits, magnetic fields, Faraday’s and Ampere’s laws, time-varying fields, Maxwell’s equations in integral form and alternating currents

ENGR 212/2102

Engineering Mechanics I (Statics)

Fundamentals of mechanics. Equilibrium of practices, forces in space, equivalent systems, equilibrium of rigid bodies, distributed forces, center of gravity, internal actions, analysis of simple structures and machine parts. Friction. Moment of inertia.

ENGR 214/2104

Engineering Mechanics II (Dynamics)

Kinematics and kinetics of a particle, system of particles, and rigid bodies. Energy and momentum methods. Engineering applications.

ENGR 518/5204

Engineering Statistics

Probability distributions, sampling distributions, estimation, test of hypotheses, regression, correlation, and nonparametric statistics.

ENGR 345/3222

Engineering Economy

Economic and cost concepts, the time value of money, single, multiple and series of cash flows, gradients, functional notation, nominal and effective interest rates, continuous compounding, rates of return. Computation and applications, economic feasibility of projects and worth of investments, comparison of alternatives. Replacement, deprecation and B.E. analysis. Introduction to risk analysis.

CENG 302/3112

Structural Analysis and Design Principles for Architects

Classification and analysis of determinate structures including; trusses, beams, frames, arches and cables. Computation of deflections. Analysis of structure using commercial software. Principles of limit states design. Properties of concrete and construction material. Distribution of loads and arrangement of structural elements in reinforced concrete buildings.

CENG 301/3111

Structural Analysis

Analysis of statically determinate structures under static loads, member forces in trusses, shear and moment diagrams, live loads and influence lines, deflections, analysis of statically indeterminate structures by three-moment equation, the method of consistent deformation, slope-deflection, and moment distribution. Approximate analysis of statically indeterminate structures. Matrix force and displacement methods with computer applications.

SCE 253/2501

Fundamentals of Database Systems

Basic concepts, database system environment, DBMS. Components and architecture access structures, indexing and hashing, high-level data models, ER and EER model, the relational model, relational languages, relational algebra, relational calculus, SQL, introduction to functional dependencies and normalization, social and ethical context of databases.

CSCE 316/3102

Programming in Java

This course offers intermediate programming concepts in the Java programming language to include virtual machines, dynamic type checking, object serialization, inheritance and polymorphism, file manipulation, interfaces and packages. Java Applets, event handling, multithreading and network-based application development in Java are also covered along with a set of selected topics such as remote method invocation and remote database access using the language.