Credits: 3 (3,0,0)   Prerequisite: None

This course introduces various topics including linear and quadratic equations, financial terms and applications, systems of linear equations, matrices, systems of linear inequalities and the linear programming problem via graphical and the simplex methods. Besides financial mathematics, topics of counting techniques, permutations and combinations, and probability models are given.

Credits: 3 (3,0,0)   Prerequisite: None

The course is an introduction to the basic concepts of geometry in three-dimensional space for students studying Interior Design (Architecture) major. The following topics will be covered: Euclidean geometry of points, distances, vectors, scalar product of vectors, vector product of vectors, angle between vectors, parallel and orthogonal vectors, projection of a vector on another, lines in the 3-dimensional space, line in terms of point and parallel vector, line in terms of two points, classification of pairs of lines, parallel and orthogonal lines, angle between two lines, intersection between two lines, distance from a point to a line, projection of a point on a line, planes in terms of point and normal vector, planes in terms of three non-collinear points, intersections between pairs of planes, parallel and orthogonal planes, intersection between plane and line, distance from a point to a plane, projection of a point on a plane, projection of a vector on a plane, sphere and cylinders, and the relations among such studied geometric shapes. These topics will be supported by examples.

Credits: 3 (3,1,0)   Prerequisite: None

This course is designed to develop the topics of differential calculus. Emphasis is placed on limits, continuity, and derivatives of algebraic and transcendental functions of one variable. This course aims to develop the student’s geometric insight into the concepts of differentiation and apply these concepts to problem-solving and real-world applications.

Credits: 3 (3,1,0)   Prerequisite: MATH 111

This course introduces various topics such as the concept of anti-derivatives, definite and indefinite integrals, the fundamental theorem of calculus, techniques of integration and improper integrals. Applications of definite integrals to find area, volume, arc length and surface of revolution are presented. Sequences and infinite series are studied, including convergence tests, integral and comparison tests, ratio and root tests, alternating series and power series.

Credits: 3 (3,0,0)   Prerequisite: MATH 101

An introduction to the basic concepts of differential and integral calculus for those studying business majors. Topics include limits, continuity, differentiation and integration of polynomial, rational, logarithmic, and exponential functions, partial derivatives, optimization, and the calculus of several variables with applications to business.

Credits: 3 (3,1,0)   Prerequisite: MATH 113

This course covers limits and continuity for functions of several variables, partial derivatives, tangent planes and differentials, the chain rule and local extrema for functions of several variables, double integrals over rectangular and general regions, double integrals in polar coordinates, surface area, triple integrals in rectangular coordinates, triple integrals in cylindrical and spherical coordinates, 2-spaces and 3-spaces, Euclidean vector spaces and vector arithmetic and norm, dot products, projections and cross products, lines and planes in 3-spaces, bases and dimensions, orthonormal bases and Gram–Schmidt process, eigenvalues and eigenvectors and diagonalization, and linear transformations.

Credits: 3 (3,1,0)   Prerequisite: MATH 113

In this course, students will review and learn mathematical techniques necessary for success as an engineer, both in future coursework and on the job. Given the difficulty of solving more realistic engineering problems analytically, the emphasis will be on the understanding and use of computational algorithms. In the process, students will develop a strong working knowledge of software packages like Matlab, Maple, and Mathematica, which are integrated technical computing environments that combine numeric computation, advanced graphics and visualization, and a high-level programming language.

Credits: 3 (3,1,0)   Prerequisite: MATH 113

The course examines the techniques of linear algebra and utilizes its tools. Topics and instruments include matrices, determinants, systems of linear equations, Euclidean vector spaces, real vector spaces, inner product spaces, eigenvalues and eigenvectors, linear transformations, and applications.

Credits: 3 (3,1,0)   Prerequisite: MATH 113

This course introduces the students to various topics in ordinary differential equations. These topics include techniques for solving first-order differential equations such as linear equations, separable equations, exact equations and integrating factors; homogeneous and general second-order linear equations; higher-order linear equations; power series solutions; the Laplace transform and applications in science and engineering; Fourier series and its convergence theorem; separation of variables; the heat equation, wave equation and Laplace equation.

Credits: 4 (3,0,2)   Prerequisite: None

This course introduces the principles of mechanics, energy, and heat. The course covers physics and measurement, motion in one dimension, vectors, motion in two dimensions, laws of motion, circular motion and other applications of Newton's laws, work and energy, potential energy and conservation of energy, rotational kinematics and torque, temperature, and heat. The emphasis in this course is cultivating an understanding of natural phenomena through direct observation, reasoning, and application of this knowledge.

Credits: 4 (3,0,2)   Prerequisite: PHY 105

This course includes several topics in electricity, magnetism, and optics. Topics include the electrostatic force, electric field, Gauss’s law, electric potential, capacitors and dielectrics, direct current circuits, magnetic fields, electromagnetism, induction, Faraday’s law, alternating current circuits, geometrical optics, and optical instruments.

Credits: 3 (3,0,0)   Prerequisite: None

This is an introductory science course which emphasizes the understanding of fundamental concepts in a broad spectrum of physics and chemistry, and their applications from everyday life examples. The course covers selected topics such as motion, energy, momentum, fluids, heat, waves, and basic properties of atoms and how they interact. The course enables students to develop an understanding of the scientific method, solve simple problems, and appreciate the role of science in today’s society.

Credits: 3 (3,1,0)   Prerequisite: None

This course introduces the basic concepts of data analysis and statistical computing, both increasingly used in the humanities and the social sciences. The emphasis is on the practical application of quantitative reasoning, visualization, and data analysis. The goal is to provide students with pragmatic tools for assessing statistical data and conducting their own basic statistical analyses. Topics covered include basic descriptive measures, measures of association, sampling, some probability distributions and simple linear regression.

Credits: 3 (3,1,0)   Prerequisite: MATH 002

Introduction to Statistics & Probability Theory is the first course in statistics, designed to expose the students to the use of tables and graphs as a way to summarize data and provide concise and meaningful presentations for the data. Using the computing facilities at campus, problem-solving is spreadsheet-oriented whenever possible. Excel is a spreadsheet tool for manipulating quantitative data. The extent to which the variables are related is discussed deeply through graphs and using rules. The emphasis is on analyzing, understanding, and using statistics to solve real-world problems. Coverage of the course includes descriptive statistics, probability and probability distributions, and sampling.

Credits: 3 (3,0,0)   Prerequisite: STAT 101

This course is the intermediate course of statistics for business students. The course is designed to expose the students to the use of statistics towards estimation and inference about the population parameters from sample data, to perform statistical analyses using statistical software and interpret the results of statistical analyses. Statistical data analysis for business students for decision-making purposes includes an examination of summary measures, probability, random variables and their distributions. The course presents estimation and hypothesis testing, correlation and regression analysis and ANOVA, and their applications to business problems. Analysis of categorical data using Chi-square test, non-parametric distributions and their methods of testing hypotheses are also covered. The use of statistical data analysis software is an integral part of this course.

Credits: 3 (3,0,0)   Prerequisite: STAT 101

The course is designed for engineering problem solving and for development of engineering applied statistical thinking. The course covers principles of engineering data collection, principles of experimentation, confidence intervals and hypothesis testing for one and two population parameters, simple and multiple regression analysis and analysis of variance. Students employ statistical software (e.g. R) to perform statistical data analysis.

Credits: 4 (3,0,1)   Prerequisite: None

This course is designed to provide students with foundational knowledge of chemistry. The course content encompasses basic concepts, including units and measurements, the atomic theory, principles of stoichiometry, properties of aqueous solutions, behaviors of gases, thermochemistry, quantum numbers, periodic trends, chemical bonding, VSEPR theory, and the classification of organic compounds.