Mathematics and Science Curriculum

The Mathematics and Science Curriculum is required of all students in the Mechanical and Civil Engineering programs, and students in the 3+2 Engineering Dual Degree program:

  • CHEM 113/L General Chemistry I and CHEM 114/L General Chemistry II: Fundamental concepts and principles common to the various branches of chemistry. This includes descriptive chemistry, which deals in a systematic way with the more important elements and the structures, properties and reactions of their com-pounds. A balance between experiment and theory, between quantitative and qualitative aspects of the course material, and between rigor and simplification is sought. Laboratory work emphasizes learning basic techniques, learning to manipulate and interpret numerical data, and learning the relationship between experimental measurement and chemical theory through guided, independent work by the student. Primarily for students majoring in the natural sciences. Prerequisite: CHEM 113 is a prerequisite for CHEM 114 and CHEM 114L.
  • PHYS 113/L Physics for Scientists and Engineers I: The first semester of a two-semester sequence focusing on mechanics. The course provides a calculus-based introduction to the laws of motion of Galileo and New-ton, the fundamentals of energy conservation, oscillatory motion, gravitation and orbital motion. 3 lecture hours and1 problem hour. Prerequisite or Co-requisite: MATH 129 or permission of the instructor. Co-requisite: PHYS 113L, 3 laboratory hours.
  • PHYS 114/L Physics for Scientists and Engineers II: The second semester of a two-semester sequence focusing on waves, light and electromagnetism. The course provides a calculus-based introduction to the properties of waves, geometric and wave optics, electric fields, basic electric circuits, and magnetism. 3 lecture hours and1 problem hour. Prerequisite: PHYS 113 or permission of the instructor. Co-requisite: PHYS 114L, 3 laboratory hours.
  • MATH 129 Analytic Geometry/Calculus I: The first calculus course in a three-course sequence. Intended primarily for chemistry, computer science, engineering, mathematics, and physics majors. Topics include plane analytic geometry; trigonometric and inverse trigonometric functions; exponential and logarithmic functions; limits; continuity; differentiation; applications of differentiation; integration. Prerequisite skill in arithmetic and Algebra II is required.
  • MATH 130 Analytic Geometry/Calculus II: Topics include applications of integration; techniques of integration; improper integrals; differential equations; parametric equations; polar coordinates; infinite sequences and series. Prerequisite: MATH 129 or the approval of the department chairperson.
  • MATH 231 Analytic Geometry/Calculus III: Topics include solid analytic geometry; vectors; vector functions; partial differentiation; multiple integrals; vector calculus; line integrals; and Green's Theo-rem. Prerequisite: MATH 130 or the approval of the department chairperson.
  • MATH 237 Applied Linear Algebra: Introduction to linear algebra and its applications in the physical sciences. Topics include matrices, systems of linear equations, Gaussian elimination, determinants, Cramer's rule, vector algebra, vector spaces, inner product spaces, linear transformations and operators, change of basis, the matrix of a linear transformation, eigenvalues and eigenvectors, and diagonalization. Examples from the physical sciences and engineering will be emphasized throughout the course. Prerequisite: Math 130. Note - not required for 3+2 environmental or computer engineering tracks.
  • MATH 238 Differential Equations: A first course in differential equations and their applications. Topics include solving first order linear differential equations, separable and exact equations, second order differential equations, initial value problems, annihilators, series solutions to differential equations, Legendre polynomials, Bessel functions, Laplace transforms, and an introduction to partial differential equations and Fourier series. Physical examples and numerical techniques will be emphasized throughout the course. Prerequisite: MATH 237. Note - not required for 3+2 environmental or computer engineering tracks.
  • MATH 250 Linear Algrbra: topics include vector spaces; linear transformations; matrices; systems of linear equations; determinants; eigenvectors and eigenvalues. Computers are used both computationally and graphically. Prerequisite: MATH 235 or approval of department chairperson. Note - required for 3+2 environmental and computer engineering tracks only.

General Engineering Curriculum I

General Engineering Curriculum I is required of all students in the Mechanical and Civil Engineering programs, and students in the 3+2 Engineering Dual Degree program:

  • CS 111 Programming for Science and Engineering: this course is an introduction to the practice of problem solving and computer programming, with an emphasis on the types of problems encountered in science and engineering. Topics include problem solving, expressions, control structures, simple data structures, and basic algorithmic design. 2 lecture and 2 laboratory hours required to be taken in the same semester
  • ENGR 100 Introduction to Engineering: serves as an introduction to the field of engineering and engineering careers, and introduces students to engineering issues such as ethics, communication, leadership and project management.
  • ENGR 150 Engineering Seminar: introduces students to universal engineering practices used in product design: computer aided design of components and assemblies, electro-mechanical systems design, mechatronics, software programming, engineering documentation, and project management. This course introduces students to the topics associated with Measurements, Instruments & Controls: electro-mechanical sensors, system block diagrams, software and system flowcharts, system response and measurement uncertainty. Students may take ENGR 150 in their 1st or 2nd year as long as they are full-time students enrolled in an Engineering, Science or Mathematics program.
  • ENGR 250/L System Design and Analysis: focuses on the specification and design of engineering systems. This course expands on the system engineering fundamentals covered in in ENGR 150: requirements, specifications, design, verification and validation testing, documentation, the use of computer aided design software and simulation software, feedback mechanisms, costing, and system optimization. Special emphasis is place on the use of electro-mechanical sensors, graphical user interfaces, and system software development. Students will attend laboratory sessions that incorporate building and analyzing simple control systems as assigned, and will culminate in a student generated solution to a control system problem. Prerequisite ENGR 150.

General Engineering Curriculum II

General Engineering Curriculum II is required of all students in the Mechanical and Civil Engineering programs:

  • PHYS 241 Statics: A study of the basic principles of mechanics applicable to rigid bodies in equilibrium, the kinematics and kinetics of particle motion and an application of these principles to the solution of a variety of practical and more complicated problems. 3 lecture-recitation hours. Prerequisite: MATH 130 and PHYS 114 or permission of the instructor.
  • PHYS 242 Mechanics of Solids: An introduction to the concepts of stress and strain, material properties, deflections of bars under axial, torsional and bending loads, statically indeterminate problems, and stress transformations. 3 lecture-recitation hours. Prerequisite: MATH 130 and PHYS 241 or permission of the instructor.
  • ENGR 320/L Fluid Mechanics: is a basic course in fluid mechanics and the properties of fluid materials used in engineering and manufacturing. Topics to be covered include internal and external flow, compressible and incompressible flow, impulse, momentum, power and efficiency, and flow measurement. The course emphasis will be placed on how fluids are used in hydraulics, pneumatics and engineering systems. Prerequisites CHEM 113/L, CHEM 114/L, PHYS 113/L and PHYS 114/L.
  • ENGR 330 Project Management and Engineering Economics: is a detailed exploration of the issues associated with managing projects (introduced in ENGR 150), and the use of software to monitor and control project execution. The course will also explore of the costs, profits and risks associated with investments in projects and new product initiatives. Topics include make/buy decisions, supply chain economics, depreciation, discounted cash flow, cost estimating and capital budgeting and payback. Students can gain a deeper understanding the economic considerations when choosing between alternative projects, and how to manage engineering projects. Prerequisite ENGR 150 or permission of instructor.
  • ENGR 350/L Engineering Materials: examines the relationship between the structure, properties and processing of engineering materials. Material science topics include physical and thermal properties, stress, strain, and elastic and plastic deformations. This course takes into consideration the methods used in the manufacturing and processing of metals, plastics and composites: material removal, hot and cold forming, casting and molding, heat treatment, joining and welding, and finishing processes. Prerequisites CHEM 113/L, CHEM 114/L, PHYS 113/L and PHYS 114/L.
  • ENGR 360 Probability and Engineering Statistics: focuses on the application of inferential statistical models used in engineering component and system design. Topics include probability distributions, regression and curve fitting, estimation of central tendencies, dispersions, confidence intervals, sampling distribution, hypotheses testing and design of experiments. Consideration is given to how data is collected, what type of data is collected, how often it is collected and what can be inferred about engineering designs based upon statistical analysis of the data. Prerequisite MATH 231 or permission of instructor.