### Required Area Courses

MATH 106 – Calculus I
Credits: 3
Prerequisites:
Limits and continuity; derivative and properties of differentiable functions; mean value theorems, Taylor’s formula, extreme values; indefinite integral and integral rules; Riemann integral and fundamental theorem of calculus; L’Hospital’s rule; improper integrals.

PHYS 101 – General Physics I
Credits: 3
Corequisite: Must be taken with PHYS 101L
Physical quantities; rectilinear motion; motion in two and three dimensions; Newton’s laws of motion; work and energy; momentum; conservation laws; collisions; rotational dynamics; gravitation; periodic motion; fluid motion.

PHYS 101L – General Physics I Lab
Credits: 1
Corequisite: Must be taken with PHYS 101
General physics laboratory course to accompany PHYS 101. Experiments in mechanics.

COMP 125 – Programming With Python
Credits: 3
Prerequisites:
This course emphasizes computational thinking and programming using Python. Gain a solid foundation in algorithmic thinking and structured programming, and perform basic, common computational tasks easily and efficiently. Examine the fundamentals of data storage, input and output, control structures, functions, sequences and lists, file I/O, graphics, and objects.

MATH 107 – Introduction to Linear Algebra
Credits: 3
Prerequisites:
Vectors; Vectors; matrices and systems of linear equations; vector spaces; linear maps; orthogonality; algebra of complex numbers; eigenvalue problems.

MATH 203 – Multivariable Calculus
Credits: 3
Prerequisites: MATH 106 or consent of the instructor
Functions of several variables; partial differentiation; directional derivatives; exact differentials; multiple integrals and their applications; vector analysis; line and surface integrals; Green’s, Divergence and Stoke’s theorems.

PHYS 102 – General Physics II
Credits: 3
Prerequisites: PHYS. 101 or consent of the instructor and must be taken with PHYS 102L
Electric charge and electric field; Gauss’s law; electric potential; dielectrics; electric circuits; magnetic field and magnetic forces; sources of magnetic field; electromagnetic induction; electromagnetic waves.

PHYS 102L – General Physics II Lab
Credits: 1
Corequisite: Must be taken with PHYS 102
Electric charge and electric field; Gauss’s law; electric potential; dielectrics; electric circuits; magnetic field and magnetic forces; sources of magnetic field; electromagnetic induction; electromagnetic waves.

MECH 100- Introduction to Mechanical Engineering
Credits: 3
Prerequisites:
Basic mathematical notation and formulations in mechanical engineering: tensor algebra, indicial notation, coordinate transformations, basic tensor operations in indicial notation. Units and unit conversions. Key mechanical engineering concepts and their use in mechanical design. Introduction to mechanical design: forces in structures, materials and stresses, materials selection. Major fields of specialization in mechanical engineering. Design process and practical experience in team projects.

ENGR 201 – Statistics for Engineers
Credits: 4
Prerequisites: MATH. 106 or consent of the instructor
Descriptive statistics; measures of association, correlation, simple regression; probability theory, conditional probability, independence; discrete and continuous random variables; probability distributions; functions of random variables; sampling distributions; estimation; inference (confidence intervals and hypothesis testing). Topics are supported by computer applications and specific examples from engineering applications.

MBGE 200 – Introduction to Biology
Credits: 3
Prerequisites:
Principles of biochemistry; molecular and cell biology. General introduction to cell structure and function. Genetics, bioenergetics, anatomy and physiology; introduction to biotechnology.

MATH 204 – Differential Equations
Credits: 3
Prerequisites: MATH 107 or consent of the instructor
First order differential equations. Second order linear equations. Series solutions of ODE’s. The Laplace transform and applications. Systems of first order linear equations. Nonlinear equations and systems:existence, uniqueness and stability of solutions. Fourier series and partial differential equations.

MECH 201 – Statics and Mechanics of Materials
Credits: 3
Prerequisites: (PHYS. 101 and MATH. 106) or consent of the instructor
Statics: force, moment, equilibrium of rigid bodies, moment of inertia of areas, structural analysis of trusses, frames and machines, internal forces and moments. Mechanics of materials: normal and shear stresses and strains, mechanical properties of materials, axial load, torsion, bending, transverse shear, combined loadings, transformation of stresses, principal stresses and Mohr’s circle, and beam deflection.

MECH 202 – Engineering Materials
Credits: 3
Prerequisites: MECH. 201 or consent of the instructor
Introduction to engineering materials such as metals, ceramics and glasses, polymers, and composites. Crystalline structure and defects. Elastic and plastic deformations of materials. Hardness. Creep and stress relaxation. Visco-elastic deformation. Thermal behavior. Failure analysis. Phase diagrams. Heat treatment.

MECH 203 – Intro to Mechanical Engineering Design
Credits: 4
Prerequisites:
Formulation of the mechanical engineering design process. Spatial representation, visual thinking and graphical presentation. Conceptual product design. Use of Computer Aided Design tools. Design exercises.

MECH 204 – Thermodynamics
Credits: 3
Prerequisites:(CHEM. 102 or CHEM. 103) or consent of the instructor
First and second laws. Energy conservation and entropy. Analysis of engineering systems, such as refrigeration cycles and combustion engines. Vapor/liquid equilibrium,applications in mixture behaviours.

MECH 206 – Dynamics
Credits: 3
Prerequisites: (PHYS. 101 and MATH. 204) or consent of the instructor
Introduction to the kinematics and dynamics of particles and rigid bodies. Energy and momentum concepts.

MECH 291 – Summer Practice I
Credits: 0
Prerequisites: ACWR 101 and MECH 100
A minimum of 20 working days of training in an industrial summer practice program after the completion of third year. The training is based on the contents of the “Summer Practice Guide Booklet” prepared by each engineering department. Students receive practical knowledge and hands-on experience in an industrial setting.

MECH 301 – Fluid Mechanics
Credits: 3
Prerequisites: MATH. 203 and 204 or consent of the instructor
Characteristics of fluids, fluid statics, Bernoulli equation, fluid kinematics, boundary layers, viscous flows and turbulence.

MECH 302 – Heat Transfer
Credits: 3
Prerequisites: MECH. 301 or consent of the instructor
Steady state and transient conduction. Convection. Internal and external flows. Radiation. Analysis and design of heat exchange equipment.

MECH 303 – Machine Design
Credits: 3
Prerequisites: MECH. 201
Basic concepts to analyze and design different machine components. Design of assemblies to meet certain requirements.

MECH 304 – Dynamic Modeling and Control
Credits: 3
Prerequisites: (MATH. 204 and MECH. 206) or consent of the instructor
Modeling and dynamic analysis of mechanical systems. Feedback control.

MECH 306 – Manufacturing Processes
Credits: 4
Prerequisites: (MECH. 201 and MECH. 202) or consent of the instructor
Materials: structure of metals, testing for MECHanical properties, physical properties, heat treatments, iron and steel, non-ferrous metals, polymers and composite materials. Processes: casting, rolling, forging, extrusion, sheet-metal forming, powder-metallurgy, polymer and composite processing, rapid-prototyping and machining (turning and milling). Engineering metrology and instrumentation. Introduction to CNC coding and simulations.

MECH 391 – Summer Practice II
Credits: 0
Prerequisites: MECH 291 and ACWR 106/102/103/104/105/107
A minimum of 20 working days of training in an industrial summer practice program after the completion of third year. The training is based on the contents of the “Summer Practice Guide Booklet” prepared by each engineering department. Students receive practical knowledge and hands-on experience in an industrial setting.

MECH 401 – Mechanical Engineering Lab
Credits: 3
Prerequisites: (MECH. 201 and MECH. 206 and MECH. 301 and MECH. 302 and MECH. 304) or consent of the instructor
Basic instrumentation and measurement techniques for MECHanical engineering systems. Experimentation with thermal systems and machines to demonstrate thermodynamics, fluid, heat transfer, dynamics and control concepts. Data acquisition, analysis, and presentation techniques.

MECH 491 – Mechanical Engineering Design I
Credits: 4
Prerequisites: (MECH. 203 and MECH. 303) or consent of the instructor
A capstone design course where students apply engineering and science knowledge in a MECHanical engineering design project. Development, design, implementation and management of a project in teams under realistic constraints and conditions. Emphasis on communication, teamwork and presentation skills.

SCEN Group (At least 1 of the below courses)

CHEM  103 – GENERAL CHEMISTRY
Units: 3.00
Atomic and molecular structure, spectroscopy, stoichiometry, chemical thermodynamics, electrochemistry, structure and properties of materials.

CHEM  104 – CHEMISTRY FOR ENGINEERING
Units: 3.00
Basics of general chemistry and introduction to quantum mechanics including chemical bonding, molecular structure, states of matter and phase transitions, intermolecular interaction, chemical equilibrium, thermodynamics/thermochemistry, acid-base equilibria, materials chemistry, and spectroscopy.

MBGE  411 – GENOME ANALYSIS & BIOINFORMATICS
Units: 3.00
Prerequisite: MBGE 101 or MBGE 200 or CHBI 300
Comprehensive introduction to the field of genomics and bioinformatic tools necessary for analyzing and interpreting genomic data. Collection and storage of sequence information. Investigation of complex biological processes using genomic data at various levels (DNA, mRNA, and protein). Next generation sequencing technologies and sequence data formats, assembly and mapping of raw sequence data, gene prediction and annotation, transcriptomics, functional genomics, genome evolution, genome-wide profiling, phylogenomics, and population genomics.

MATH  103 – INTRODUCTION TO ABSTRACT MATHEMATICS
Units: 3.00
Sets; logic and implications; proof techniques with examples; mathematical induction and well-ordering; equivalence relations; functions; cardinality; countable and uncountable sets.

MATH  303 – APPLIED MATHEMATICS
Units: 3.00
Prerequisite: MATH 204 or consent of the instructor
Review of vector calculus; Fourier series and Fourier transform; Calculus of functions of a complex variable.

MATH  304 – NUMERICAL METHODS
Units: 3.00
Prerequisite: MATH 107 or consent of the instructor
Solutions of nonlinear systems and unconstrained optimization problems; direct methods for linear systems; eigenvalue problems; polynomial interpolation; least squares problem; numerical differentiation and integration; methods for the initial value problem; Fourier transform.

MATH  305 – NUMERICAL ANALYSIS
Units: 3.00
Prerequisite: MATH 107 or consent of the instructor
Fixed point iteration and Newton’s method for nonlinear equations, direct solution of linear systems and the least squares problem, symmetric positive definite and banded matrices, systems of nonlinear equations, the QR algorithm for the symmetric eigenvalue problem, Lagrange and Hermite polynomial interpolation, polynomial approximation in the infinity norm and the Chebyshev polynomials, approximation in the 2 norms and the orthogonal polynomials, numerical differentiation, Newton-Cotes and Gaussian quadratures for numerical integration.

MATH  320 – LINEAR ALGEBRA
Units: 3.00
Prerequisite: MATH 107 or consent of the instructor
Finite-dimensional real and complex vector spaces, bases of a vector space, linear maps, dual spaces, quadratic forms, self-adjoint and unitary transformations, eigenvalue problem, the canonical form of a linear transformation, tensors, and applications.

MATH  401 – COMPLEX  ANALYSIS
Units: 3.00
Prerequisite: MATH 301 or consent of the instructor
Complex numbers and functions; exponential and trigonometric functions; infinite series and products; limits, continuity and derivatives of complex functions; Cauchy’s theorem; Taylor and Laurent series; conformal mapping.

MATH  404 – GRAPH THEORY
Units: 3.00
Fundamental concepts in graph theory; trees; matchings in graphs; connectivity and planarity; the colorings of graphs and diagraphs; Hamilton cycles; matroids.

MATH  407 – COMBINATORIAL ANALYSIS
Units: 3.00
Problems of enumeration, structure, and optimization in such finite or discrete systems as graphs, matroids, partially ordered sets, lattices, partitions, codes, and block designs.

MATH  408 – GAME THEORY
Units: 3.00
Games in extensive form; pure and behavioral strategies; normal form, mixed strategies, equilibrium points; coalitions, characteristic-function form, imputations and solution concepts; related topics and applications.

PHYS  201 – MECHANICS
Units: 3.00
Prerequisite: (PHYS 101 and MATH 204) or consent of the instructor
Review of vectors and matrices, orthogonal transformations; numerical simulations and animations of mechanical systems, kinematics and dynamics of particles; Newton’s laws of motion; conservation laws; oscillations; central forces; orbits and scattering in a central force field; planetary motion; non-inertial reference frames; potential theory; the two-body problem.

PHYS  205 – GENERAL PHYSICS III
Units: 4.00
Prerequisite: PHYS 101 or consent of the instructor
Periodic motion, fluid mechanics, mechanical waves, sound and hearing, temperature and heat, thermal properties of matter, the first law of thermodynamics, the second law of thermodynamics. Lab component.

PHYS  206 – GENERAL PHYSICS IV
Units: 4.00
Prerequisite: PHYS 102 or consent of the instructor
The nature and propagation of light, geometric optics, and optical instruments, interference, diffraction, relativity, photons electrons, and atoms, the wave nature of particles, quantum mechanics, atomic structure, molecules and condensed matter, nuclear physics, particle physics, and cosmology. Lab component.

PHYS  403 – SOLID STATE PHYSICS
Units: 4.00
Prerequisite: PHYS 102 or consent of the instructor
Elementary crystal structure; the reciprocal lattice; lattice dynamics and phonons; thermal properties of materials; electron gas; Fermi-Dirac statistics and the Fermi surface; band theory, semiconductor physics, and properties, semiconductor devices.