Mechanical Engineering

Math +

MCEN 1000-1. Introduction to Mechanical Engineering. Lect. and lab. Introduces facets of mechanical engineering including history of the profession, mechanical engineering curriculum, industries in which mechanical engineers practice, and expectations and tools for academic success. Students participate in hands-on experiences, visit industry, make oral presentations, meet faculty and practicing professionals, and develop goal statements. Restricted to MCEN majors.

MCEN 3030-3. Computational Methods. Studies fundamental numerical techniques for the solution of commonly encountered engineering problems. Includes methods for linear and nonlinear algebraic equations, data analysis, numerical differentiation and integration, ordinary and partial differential equations. Prereqs., GEEN 1300 and APPM 2360, or equivalent, including a working knowledge of Matlab.

MCEN 4120-3. Engineering Statistics. Focuses on probability and statistics, emphasizing engineering applications. Studies frequency distributions; statistical hypotheses and estimation; nonparametric, linear regression, and correlation; nonlinear and multiple regression; analysis of variance; and quality control. Prereq., APPM 2360.

MCEN 5020-3. Methods of Engineering Analysis 1. Studies selected topics from linear algebra, ordinary differential equations, and Fourier series. Assigns computer exercises. Correlates with analysis topics in other mechanical engineering graduate courses, and emphasizes applications. Prereq., APPM 2360 or equivalent.

MCEN 5040-3. Methods of Engineering Analysis 2. Studies selected topics from the theory of complex variables, integral transform methods, partial differential equations, and variational methods. Assigns computer exercises. Correlates with analysis topics in other mechanical engineering graduate courses, and emphasizes applications. Prereq., MCEN 5020 or equivalent.

MCEN 7120-3. Perturbation Methods. Teaches regular and singular perturbation methods for solving ordinary and partial differential equations and for evaluating integrals. Emphasizes formulation of mathematical models in fluid mechanics, combustion, heat transfer, solid mechanics, dynamics, and wave propagation. Prereq., MCEN 5020 and 5040, or equivalent.

Fluids +

MCEN 3021-3. Fluid Mechanics. Examines fundamentals of fluid flow with application to engineering problems. Explores fluid statics and kinematics; conservation equations for mass, momentum, and energy; Bernoulli and Euler equations; potential flow; laminar and turbulent viscous boundary layers; laminar and turbulent pipe flow; and compressible fluid flow. Prereqs., APPM 2360 and MCEN 2023.

MCEN 4131-3. Air Pollution Control Engineering. Introduces air quality regulations, meteorology, and modeling; methods for controlling major classes of air pollutants, including particulate matter and oxides of sulfur and nitrogen; and control technology for industrial sources and motor vehicles. Requires interdisciplinary design projects. Prereq., MCEN 3021 or equivalent. Same as MCEN 5131.

MCEN 4141-3. Indoor Air Pollution. Air pollutants cause material damage and adversely affect human health. People spend over 80 per cent of their time indoors; often, air pollutant levels are higher indoors than outdoors. In this course we study air pollution in indoor environments and design appropriate control technologies. Prereqs., MCEN 3021 and 3022. Same as MCEN 5141.

MCEN 5021-3. Introduction to Fluid Dynamics. Focuses on physical properties of gases and liquids, and kinematics of flow fields. Analyzes stress; viscous, heat-conducting Newtonian fluids; and capillary effects and surface-tension-driven flow. Other topics include vorticity and circulation, ideal fluid flow theory in two and three dimensions, Schwartz-Christoffel transformations, free streamline theory, and internal and free-surface waves. Coreq., MCEN 5020 or equivalent.

MCEN 5041-3. Viscous Flow. Highlights exact solution of Navier-Stokes equations and fundamentals of rotating fluids. Considers Low Reynolds number flow; similarity solutions; viscous boundary layers, jets, and wakes; and unsteady viscous flow. Prereq., MCEN 5021 or equivalent.

MCEN 5121-3. Compressible Flow. Applies energy, continuity, and momentum principles to compressible flow. Topics include normal and oblique shocks; Prandtl-Meyer expansion; methods of characteristics; and one-, two-, and three-dimensional subsonic, supersonic, and hypersonic flows. Prereq., MCEN 5021 or equivalent.

MCEN 5131-3. Air Pollution Control Engineering. Same as MCEN 4131.

MCEN 5141-3. Indoor Air Pollution. Same as MCEN 4141.

MCEN 7221-3. Turbulence. Hydrodynamic stability theory, equations for turbulent flows, free shear flows and boundary layers, homogeneous and isotropic turbulence, overview of turbulent combustion, reaction kinetics, energy equation, Favre averaging, PDFs, premixed and nonpremixed flame modeling, and recent developments.

Thermal +

MCEN 3012-3. Thermodynamics. Explores fundamental concepts and basic theory, including first and second laws of thermodynamics, properties, states, thermodynamic functions and cycles. Prereq., APPM 2350. Same as GEEN 3852.

MCEN 3022-3. Heat Transfer. Studies fundamentals of heat transfer by conduction, convection, and radiation. Provides applications to heat exchangers, solar panels, and boiling and mass transfer. Also covers numerical methods for solving heat transfer problems and design of engineering equipment involving heat transfer processes. Prereqs., MCEN 3012 and 3021.

MCEN 3122-3. Thermodynamics 2. Offers advanced topics and applications, including thermodynamics of state, entropy and probability, thermodynamic cycles, and reacting and nonreacting mixtures. Provides application to engines and power generation by conventional and alternative energy technologies. Most assignments are design oriented. Prereqs., MCEN 3012 and 3021.

MCEN 4152-3. Introduction to Combustion. Description of the mechanisms by which fuel and oxidizers are converted into combustion products. Application to practical combustion devices such as Otto, Diesel, gas turbine, and power plant combustion systems. Consideration of combustion-generated air pollution, fire safety, and combustion efficiency. Prereq., MCEN 3012. Recommended prereqs., MCEN 3021 and 3022. Same as MCEN 5152.

MCEN 4162-3. Energy Conversion. Examines common energy-conversion methods and devices. Topics include power-cycle thermodynamics, turbocompressor and expander processes, combustion systems, and applications and limitations of direct energy-conversion systems. Prereq., MCEN 3012.

MCEN 5022-3. Thermodynamics. Offers a comprehensive presentation of macroscopic and statistical thermodynamics and representative applications, from an axiomatic formulation designed to develop and clarify thermodynamic property relationships. Includes thermodynamic functions and derivatives, quantum mechanics, kinetic theory of gases, black body radiation, chemical equilibrium, and molecular spectroscopy.

MCEN 5042-3. Heat Transfer. Studies development of equations governing transport of heat by conduction, convection, and radiation, and their solution. Includes analytical and numerical solution of initial and boundary value problems representative of heat conduction in solids. Describes heat transfer in free and forced convection, including laminar and turbulent flow. Also involves radiation properties of solids, liquids, and gases and transport of heat by radiation.

MCEN 5122-3. Thermodynamics 2. Offers advanced topics and applications, including thermodynamics of state, entropy and probability, thermodynamic cycles, and reacting and nonreacting mixtures. Provides application to engines and power generation by conventional and alternative energy technologies. Most assignments are design oriented.

MCEN 5142-3. Computational Fluid Dynamics, Heat Transfer, and Combustion. Finite difference, finite volume, finite element, and spectral methods, consistency, stability and convergence of numerical schemes, governing equations for reacting flows, convection, diffusion, convection-diffusion problems, matrix solution methods-cyclic reduction, Fourier, Jacobin, Gauss Siedel, SOR, ADI, Chebschev acceleration, Lax-Wendroff scheme, McCormack scheme, transonic small disturbance equation solution, staggered grids, simple scheme, discrete Fourier transform. Students work on two substantial projects using commercial software.

MCEN 5152-3. Introduction to Combustion. Same as MCEN 4152.

MCEN 7122-3. Combustion Phenomena. Applies multicomponent fluid equations of motion and chemical thermodynamics to a variety of combustion problems. Covers droplet combustion, premixed and diffusion flames, boundary layer combustion, detonation wave theory, topics related to internal combustion engines, and liquid and solid rockets. Prereq., MCEN 3012 and 3021.

Solids +

MCEN 2023-3. Statics and Structures. Covers statics of particles, equivalent force systems, rigid bodies, equilibrium of rigid bodies in two and three dimensions, analysis of truss and frame structures, uniaxially-loaded members, deformation and stress, distributed force systems, friction. Lectures and homework assignments involve computer work and hands-on laboratory work in the ITLL, documented by written reports. Prereq., APPM 1360.

MCEN 2063-3. Mechanics of Solids. Covers shear force and bending moment, torsion, stresses in beams, deflection of beams, matrix analysis of frame structures, analysis of stress and strain in 2-D and 3-D (field equations, transformations), energy methods, stress concentrations, and columns. Lectures and homework assignments involve computer work and hands-on laboratory work in the ITLL, documented by written reports. Prereq., MCEN 2023.

MCEN 3043-3. Dynamics. Covers dynamic behavior of particle systems and rigid bodies; 2-D and 3-D kinematics and kinetics; impulse, momentum, potential, and kinetic energy; and work, collision, and vibration. Lectures and homework assignments involve computer work and hands-on laboratory work in the ITLL, documented by written reports. Prereqs., MCEN 2023 and APPM 2350.

MCEN 4043-3. System Dynamics. Covers linear dynamic systems and mathematical tools for understanding them, input-output relationships, modeling templates, complex variables, Laplace transform, time-harmonic forcing and response, Fourier series and discrete Fourier transform, and coupled systems. Prereqs., ECEN 3010, MCEN 3022 and 3043. Restricted to senior MCEN majors.

MCEN 4123-3. Vibration Analysis. Highlights free and forced vibration of discrete and continuous systems. Examines Lagrange’s equation, Fourier series, Laplace transforms, and matrix and computational methods. Applies knowledge to practical engineering problems. Prereq., MCEN 3030. Same as MCEN 5123.

MCEN 4173-3. Finite Element Analysis. Introductory course covering the theory behind and applications of the finite element method as a general and powerful tool to model a variety of phenomena in mechanical engineering. Applications include structural mechanics, mechanics of elastic continua, and heat conduction. Prereq., MCEN 2023 and 2063, or equivalents. Same as MCEN 5173.

MCEN 4183-3. Mechanics of Composite Materials. Introduces various kinds of composite materials, composite fabrication techniques, the physical and mechanical behavior of composites, and analytical and experimental methodologies. Prereqs., MCEN 2024 and 2063, or equivalents. Same as MCEN 5183.

MCEN 5023-3. Solid Mechanics 1. Introduces stress, strain, and motion of a continuous system. Discusses material derivative; fundamental laws of mass, momentum, energy, and entropy; constitutive equations and applications to elastic and plastic materials. Prereq., MCEN 2063 or equivalent; coreq., MCEN 5020 or equivalent. Similar to ASEN 5012.

MCEN 5123-3. Theory of Vibration. Same as MCEN 4123.

MCEN 5173-3. Finite Element Analysis. Same as MCEN 4173.

MCEN 5183-3. Mechanics of Composite Materials. Same as MCEN 4183.

MCEN 6163-3. Elastic Waves. Effect of transient localized sources or dislocations in an elastic medium is studied. . Modeling and application of waves in rods, beams, and plates is emphasized. In addition, ultrasonic, nondestructive evaluation and seismological problems are discussed. Prereq., MCEN 5023 or equivalent. Recommended MCEN 5040 or equivalent.

MCEN 7123-3. Dynamics of Continuous Media. Reflects upon derivation of wave equations from the basic equations of dynamic elasticity. Topics include propagation of elastic waves in infinite and partially bounded media, Rayleigh waves and Love waves, Pochhammer solution for a rod, and waves in plates and in layered and anisotropic media. Prereq., MCEN 5020, 5040, and 5043, or equivalents. Same as PHYS 6680 and GEOL 6680.

Materials +

MCEN 2024-3. Materials Science. Structure, properties, and processing of metallic, polymeric, ceramic, and composite materials. Perfect and imperfect solids; phase equilibria; transformation kinetics; mechanical behavior; material degradation. Approach incorporates both materials science and materials engineering components.

MCEN 4124-3. Mechanical Behavior of Materials. Addresses the relationship between material structure and the fundamental processes of deformation, yield, and fracture. Examines elements of elasticity theory, introduction to plasticity, and formulation of failure criteria. Studies basic deformation processes in terms of dislocation mechanics and macroscopic mechanical behavior. Takes into consideration the influence of compositional and processing strengthening mechanisms on mechanical properties. Prereqs., MCEN 2024 and 2063.

MCEN 4134-3. Biomechanics. Considers the mechanical behavior of biological materials and emphasizes the relationship between structural characteristics and macroscopic behavior. Focuses first on the mechanical behavior of microscopic protein and polysaccharide elements and then on larger scale soft and hard tissue structures. Prereqs., MCEN 2024, 2063, and 3021 or equivalent. Restricted to MCEN majors and minors.

MCEN 4174-3. Failure of Engineering Materials. Examines the failure of materials used in engineering design through a series of real world case studies. Example failure modes considered include overload, fatigue, creep, and corrosion. Example case studies include failure of aircraft, mountaineering ropes, weight training frames, and toilets. Prereqs., MCEN 2024 and 2063. Same as MCEN 5174.

MCEN 5024-3. Materials Science 1: Principles. Provides a unified presentation of scientific principles applicable to all materials systems. Topics include concepts of material structure from localized interatomic bonding to short- and long-range order in crystalline and noncrystalline solids; the nature and consequences of imperfections in solids; phase equilibria; and transformation kinetics. Considers metallic, polymeric, and ceramic materials. Prereq., MCEN 2024 or equivalent.

MCEN 5044-3. Materials Science 2: Behavior. Applies principles of materials science developed in MCEN 5024 to the study of physical and mechanical behavior of metals, polymers, ceramics, and their composites. Emphasizes structure-property relationships, use of primary and secondary processing steps to control material behavior, and influence of environment on in-service performance. Prereq., MCEN 5024 or equivalent.

MCEN 5164-3. Fracture. Focuses on basic mechanisms controlling fracture in brittle materials, reduction of capacity for plastic deformation in engineering materials used at high-strength levels, and selection of materials in terms of toughness as well as strength. Prereq., MCEN 4124 and 5044, or equivalent.

MCEN 5174-3. Failure of Engineering Materials. Same as MCEN 4174.

MCEN 6184-3. Structure and Properties of Polymers. Emphasizes the relationship between molecular structure and macroscopic properties. Structural aspects include chain conformation, configuration, and the crystalline and amorphous states. Discusses physical and mechanical properties with a focus on solution and phase behavior, transitions of bulk polymers, and rubber and viscoelastic behavior. Prereq., graduate standing and MCEN 5024 and 5044, or equivalent.

Design +

MCEN 1025-3. Computer-Aided Design and Fabrication. Introduces engineering design graphics. Includes learning a contemporary computer-aided design (CAD) software application and relevant engineering graphics concepts, such as orthographic projection, sections, engineering drawing practices, geometric dimensioning and tolerancing, and an introduction to manufacturing methods. Entails a final design project using rapid prototyping. Restricted to MCEN majors.

MCEN 3025-3. Component Design. Application of mechanics and materials science to the detailed design of various machine elements including shafts bearings, gears, brakes, springs, and fasteners. Emphasizes application and open-ended design problems. Prereq., MCEN 2063.

MCEN 4045-3. Mechanical Engineering Design Project 1. First part of a two-course capstone design experience in mechanical engineering. Covers problem definition, determining design requirements, alternative design concepts, engineering analysis, proof-of-concept prototype, and CAD drawings. Students make several oral design reviews, a final design presentation, and prepare a written report. Prereq., MCEN 3025. Coreq., MCEN 4026.

MCEN 4085-4. Mechanical Engineering Design Project 2. Second part of a two-course capstone design experience in mechanical engineering. Includes refinement of prototype, design optimization, fabrication, testing, and evaluation. Students orally present the final design and prepare a written report and operation manual for the product. Prereq., MCEN 4026 and 4045.

MCEN 4115-3. Mechantronics and Robotics I. Focuses on design and construction of microprocessor- controlled electro-mechanical systems. Lectures review critical circuit topics, introduce microprocessor architecture and programming, discuss sensor and actuator component selection, robotic systems, and design strategies for complex, multi-system devices. Lab work reinforces lectures and allows hands-on experience with robotic design. Students must design and build an autonomous robotic device. Project expenses may be incurred ($50 maximum). Prereqs., ECEN 3010 or equivalent and GEEN 1300 or equivalent. Same as MCEN 5115.

MCEN 5025-3. Computer-Aided Design of Mechanical Systems. Instructs students in displacement, velocity, and accelerations matrix formulation of mechanisms. Emphasizes numerical methods to solve simultaneous nonlinear algebraic and differential equations modeling mechanical devices. Involves analysis and synthesis of mechanical components and systems, including planar and spatial linkages, cams, springs, shafts, and gear trains. Prereqs., MCEN 3030 or equivalent, and MCEN 3025.

MCEN 5045-3. Design for Manufacturability. Topics include general design guidelines for manufacturability; aspects of manufacturing processes that affect design decisions; design rules to maximize manufacturability; statistical considerations; value engineering and design for assembly (manual, robotic, and automatic). Presents case studies of successful products exhibiting DFM. Prereq., MCEN 4026 or equivalent.

MCEN 5115-3. Mechantronics and Robotics I. Same as MCEN 4115.

MCEN 5125-3. Optimal Design of Mechanical Components. Applies linear and nonlinear optimization methods to the design of mechanical components and systems. Examines unconstrained and constrained optimization as well as formulation of objective functions, including cost, weight, response time, and deflection. Applies knowledge to gears, springs, cams, and linkages. Prereqs., MCEN 3025 and 3030 or equivalent.

Manufacturing and Systems +

MCEN 4026-3. Manufacturing Processes and Systems. Engineering-science design course that examines manufacturing processes for metals, polymers, and composites as well as manufacturing systems that integrate these processes. Lecture topics include: forming, machining, joining, assembling, process integration, computer-aided manufacturing, and manufacturing system engineering. Prereq., MCEN 2024.

MCEN 5066-3. Principles and Practices of World Class Manufacturing. Introduces manufacturing principles and practices that are essential to competing successfully in a global environment. Topics include manufacturing as a competitive tool, total quality management, process control, benchmarking, total productive maintenance, just in time, design of experiments, flexible manufacturing, and case studies.

MCEN 5126-3. Applied Statistics for the Manufacturing and Process Industries. Discusses the concepts and techniques of applied statistics essential to quality control and product/process improvement. Includes computer control (SQC/SPC), sampling methods and time series analysis, and methods of experimental design. Prereq., MCEN 4120. Same as CHEN 5127 and CVEN 5127.

MCEN 5146-3. Applied Statistics in Research and Development. Same as CHEN 5128.

MCEN 5166-3. Electronics Packaging and Manufacturing. To provide basic knowledge of the technologies and processes required for the packaging and manufacturing of electronic products. Topics covered include wafer fabrication, different levels of packaging, thermal management, life cycle engineering, printed wiring board assembly processes, and process control.

MCEN 5636-3. Micro-Electro-Mechanical Systems 1. Addresses issues of micro-electro-mechanical systems (MEMS) modeling, design, and fabrication. Emphasizes the design and fabrication of sensors and actuators due to significance of these devices in optics, medical instruments, navigation components, communications, and robotics. Prereq., instructor consent.

Miscellaneous +

MCEN 3017-3. Circuits and Electronics. Introductory course covers analysis of electric circuits by use of Ohm’s law, network reduction, node and loop analysis, Thevenin’s and Norton’s theorems, DC and AC signals, transient response of simple circuits, transfer functions, basic diode and transistor circuits, and operational amplifiers. Prereqs., APPM 2360 and PHYS 1140. Same as ECEN 3010.

MCEN 3037-2. Experimental Design and Data Analysis. Learn to plan and carry out experiments. Coverage includes measurement fundamentals, basic statistical concepts, and uncertainty analysis. Use of statistics for the purpose of analyzing data, including regression, correlation, hypothesis testing, classification, time series analysis, and design of experiments. Prereq., APPM 2360.

MCEN 4037-2. Measurements Lab. Carry out several experiments designed to teach methods of experimentation and data analysis. Experiments taken from solid mechanics, fluid mechanics, thermal science, and materials science. Emphasizes planning an experiment, applying sound procedures, keeping proper records, and communicating results orally and in written reports. Gives students the opportunity to participate in projects that extend over two or more weeks. Prereq., ECEN 3010, MCEN 2063, MCEN 3037, and WRTG 3030.

MCEN 4047-2. Mechanical Engineering Laboratory. Carry out several experiments designed to teach methods of experimentation and data analysis. Experiments taken from solid mechanics, fluid mechanics, thermal science, and materials science. Emphasizes planning an experiment, applying sound procedures, keeping proper records, and communicating results orally and in written reports. Gives students the opportunity to participate in projects that extend over two or more weeks. Prereq., MCEN 2024, 3022, and 4037.

MCEN 4117-3. Anatomy and Physiology for Engineers. Understanding human physiological function from an engineering, specifically mechanical engineering, viewpoint. Introduction to human anatomy and physiology with a focus on learning fundamental concepts and applying engineering (mass transfer, fluid dynamics, mechanics, modeling) analysis. Restricted to senior engineering majors. Same as MCEN 5117.

MCEN 5027-1. Graduate Seminar. Offers weekly presentations by visiting speakers, faculty, and students. May be repeated up to 6 total credit hours.

MCEN 5117-3. Anatomy and Physiology for Engineers. Same as MCEN 4117.

Special Topics +

MCEN 1208 (1-3). Special Topics in Mechanical Engineering. Subject matter to be selected from topics of current interest. Credit to be arranged. Numbered MCEN 1208-1298. Prereq., instructor consent.

MCEN 3208 (1-3). Special Topics in Mechanical Engineering. Subject matter to be selected from topics of current interest. Credit to be arranged. Numbered MCEN 3208-3298. Prereq., instructor consent.

MCEN 4128-3. Special Topics. Prereq., MCEN 4025 or equivalent.

MCEN 4208 (1-3). Special Topics in Mechanical Engineering. Subject matter to be selected from topics of current interest. Credit to be arranged. Numbered MCEN 4208-4298. Prereq., instructor consent.

MCEN 4228 (1-4). Special Topics. May be repeated up to 15 credit hours. Prereqs., MCEN 2024 and 2063. Restricted to senior MCEN majors. Same as MCEN 5228.

MCEN 4278-3. Special Topics. Same as MCEN 5268.

MCEN 4848 (1-6). Independent Study. Subjects arranged in consultation with undergraduate advisor to fit the needs of the particular student. Numbered MCEN 4848-4898. Prereq., senior standing.

MCEN 5208 (1-4). Special Topics. Credit hours and subject matter to be arranged. Numbered MCEN 5208-5298.

MCEN 5228 (1-4). Special Topics. May repeated up to 15 total credit hours. Same as MCEN 4228.

MCEN 5248 (1-3). Special Topics.

MCEN 5268-3. Special Topics. Same as MCEN 4278.

MCEN 5848 (1-6). Independent Study. Available only through approval of graduate advisor. Subjects arranged to fit the needs of the particular student. Numbered MCEN 5848-5898. Prereq., graduate standing.

MCEN 5898 (1-6). Independent Study. Available only through approval of graduate advisor. Subjects arranged to fit the needs of the particular student. Numbered MCEN 5848-5898. Prereq., graduate standing.

MCEN 6228-3. Special Topics.

MCEN 6278-3. Special Topics.

MCEN 6848 (1-6). Independent Study. Available only through approval of graduate advisor. Subjects arranged to fit the needs of the particular student. Numbered MCEN 6848-6898. Prereq., graduate standing.

MCEN 6898 (1-6). Independent Study. Available only through approval of graduate advisor. Subjects arranged to fit the needs of the particular student. Numbered MCEN 6848-6898. Prereq., graduate standing.

MCEN 7208 (1-4). Special Topics. Credit and subject matter to be arranged. Numbered MCEN 7208-7298.

Thesis +

MCEN 6949 (1-3). Master’s Degree Candidacy.

MCEN 6959 (1-6). Master’s Thesis.

MCEN 8999 (16-24). Doctoral Thesis.

University of Colorado at Boulder CU-Home CU-Search CU-A to Z Campus Map