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MAE 4316 - Propulsion 3 Credits
Basic concepts of aerospace propulsion. Foundational concepts of thermodynamics, compressible flow, and boundary layer theory. Characteristics, operation and analysis of turbine engines. Characteristics, operation and analysis of rocket engines.Prerequisites: MAE 2301 and MATH 340.
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MAE 4402 - Intermediate Dynamics 3 Credits
Kinematics, relative motion, and rotation of particles and rigid bodies, including inertia tensors, Euler’s angles and equations. Variational principles, work, energy expressions, and Lagrange’s equations. Electrical circuits and electromechanical systems.Prerequisites: MAE 2102 or equivalent, MATH 340 and MATH 313.
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MAE 4410 - Fundamentals of Astrodynamics 3 Credits
Development and application of the fundamental principles of astrodynamics to satellite motion. Study of coordinate systems, time keeping, computation of orbits, and introduction to perturbation theory.Prerequisites: MAE 2102 and MATH 313.
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MAE 4415 - Flight Dynamics 3 Credits
Advanced treatment of the flight dynamics of atmospheric flight vehicles and spacecraft. Rigorous development of nonline ar equations of motion, including environmental and propulsive forces. Linearization via small-perturbation methods limitations. Transient response, stability, natural modes. Intro to simulation techniques.Prerequisites: MAE 3401 and MAE 4402.
Meets with MAE 5415.
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MAE 4421 - Automatic Control of Aerospace and Mechanical Systems 3 Credits
Introduction to the automatic control of aerospace and mechanical systems. Aero/Mech systems modeling, aircraft/spacecraft; computational analysis via MATLAB; frequency domain techniques for analysis and synthesis; root-locus, Bode, Nyquist. Time-and- frequency-domain relationships. Mech/Aero System simulation.Prerequisites: MAE 3401, MATH 313, and MATH 340.
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MAE 4425 - Space Environment 3 Credits
Introduction to properties and effects of the environment in which spacecraft and astronauts must operate. Intensive coverage given to earth-sun-lunar system. Topics include earth’s environment, ionosphere, atmosphere chemistry, radiation belts, magnetosphere, aurora, geomagnetic storms, celestial background, and recent bioastronautic effects.Prerequisites: PES 112 or equivalent and MATH 340.
Meets with MAE 5091.
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MAE 4450 - Robotics 3 Credits
Dynamics, kinematics, and automatic control of robotic devices. Force and position control, path planning.Prerequisites: MATH 313, MATH 340, MAE 3401, and MAE 4421.
Meets with MAE 5450.
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MAE 4455 - Flight Mechanics 3 Credits
A fundamental study of the trajectory dynamics of aerospace vehicles operating in the atmosphere (aircraft and missiles). Rigid body equations of motion; vehicle-carried coordinate systems; aerodynamic and propulsive forces; maneuvering flight; introduction to trajectory simulation.Prerequisites: MAE 3135, MAE 4402, MATH 313 and MATH 340.
Meets with MAE 5455.
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MAE 4460 - GPS Principles and Applications 3 Credits
Course will focus primarily on GPS (Global Positioning Satellite) navigation system and its limits and applications in navigation on earth and near-space. Effects of atmospheric propagation will be included. Surveys of usage for such navigational systems to the military and civilian sectors will be given.Prerequisites: MAE 4410/5410 and MATH 381 or ECE 3610.
Meets with MAE 5460.
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MAE 4506 - Engineering Simulation 3 Credits
Introduction to the essential elements of stochastic simulation including discrete, continuous and hybrid simulations models. A practical hands-on course illustrating concepts and principles through use of a flexible, advanced, higher-order simulation software package (SLAM II). Illustrates cost-saving techniques resulting from simulation studies of manufacturing systems.Prerequisites: MATH 313 and MATH 340. Senior or graduate standing.
Meets with MAE 5095.
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MAE 4510 - Engineering Design I 1 Credits
Design principles with the realistic constraints of economy, safety, reliability, aesthetics, ethics and social impact. Project and team organization to meet design goals. Professional oral and written communication of the design through presentations, memos, reports, and e-mail.Prerequisites: ENGL 309, senior standing.
Meets with MAE 5510.
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MAE 4511 - Engineering Design II 3 Credits
Project laboratory for the senior or graduate student for the design of a mechanical or electromechanical component, with emphasis on the identification, selection, design, and simulation or fabrication of the component. A successful project is required for completion of the course.Prerequisites: MAE 4510 and instructor’s consent.
Meets with MAE 5511.
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MAE 4541 - Cellular Manufacturing 3 Credits
Cellular manufacturing has become an essential part of most world class strategies. Investigation of analysis design and implementation of high-performance manufacturing cells. Topics include: key cell design issues, simulation in cell design, techniques for economic evaluation, group technology, just-in-time strategies, and team building in cellular manufacturing.Prerequisites: MAE 3560, MAE 4561, and MAE 4506.
Meets with MAE 5574.
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MAE 4542 - Contemporary Issues in Manufacturing 3 Credits
Introduction to world class manufacturing including interaction with customers and suppliers, integrated and concurrent manufacturing, and just-in-time production meeting customer requirements, using case analysis, field study, and experiential learning.Prerequisites: MAE 3560, MAE 4561, and MAE 4506.
Meets with MAE 5575.
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MAE 4550 - Space Mission Analysis 3 Credits
Survey of various spacecraft bus systems, and tradeoffs needed to satisfy the space-mission requirements. Spacecraft subsystems considered include communications, data handling, power, thermal, structures, sensors, and mechanisms.Prerequisites: MAE 4410/5410, MAE 4425 or MAE 5091.
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MAE 4561 - Analysis and Design of Experiments 3 Credits
Statistical methods to design experiments for the design of effective manufacturing systems. Balanced treatment of traditional and modern techniques in experiment design, with emphasis on real-world applications. Processes of planning, collecting data, and analyzing the data are covered.Prerequisites: Senior or graduate standing and either ECE 3610 or MATH 381.
Meets with MAE 5571.
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MAE 4610 - Design and Development of Medical Devices 3 Credits
Examines the design and development of medical devices. Topics include: engineering design process, human factors, biomaterials, quality control, clinical studies and regulatory bodies. Case studies illustrate successes and failures. Serves students and professionals interested in medical device related fields.Prerequisites: MAE 3501, senior standing or instructor consent.
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MAE 5090 - Space Mission Operations 3 Credits
This course describes the relationship between the operations concept and the other elements of a space mission and covers the various functions associated with a space mission. These functions include mission planning, trajectory analysis, navigation, payload operations, spacecraft operations, data processing, communications, training, and management. Students learn how to translate mission objectives and requirements into a viable operations concept. The course covers key cost, technical, and schedule drivers and develops methods for determining key space mission operations design parameters (data flow diagrams, orbit maneuvers, communication links, and spacecraft and payload commanding).Prerequisites: MAE 4410/5410.
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MAE 5091 - Space Environment 3 Credits
Introduction to properties and effects of the environment in which spacecraft and astronauts must operate. Intensive coverage given to earth-sun-lunar system. Topics include earth’s environment, ionosphere, atmospheric chemistry, radiation belts, magnetosphere, aurora, geomagnetic storms, celestial background and recent bioastronautic effects.Prerequisites: PES 112 or equivalent and MATH 340.
Meets with MAE 4425.
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MAE 5092 - Remote Sensing in Space 3 Credits
Covers fundamental technology for various remote sensing techniques. These techniques cover optical, infrared, microwave and nuclear sensors and imaging systems as appropriate. Background effects and effects of propagation through the atmosphere are included as well as trade-offs of systems and platform capabilities.Prerequisites: ECE 3120 and PES 213 or consent of instructor.
Meets with ECE 5190.
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MAE 5093 - Systems Engineering 3 Credits
Focus on the Systems Engineering life-cycle process and the derivation of engineering/technical requirements from customer/ operational requirements. Analytical tools which support fielding of effective systems consistent with developed requirements will be covered. Major emphasis will be placed on systems reliability and life-cycle costing.Prerequisites: MATH 381 and MATH 313 or equivalent.
Meets with ENGR 511.
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MAE 5095 - Engineering Simulation 3 Credits
Course will introduce the cost saving technique of simulation. The statistical tools needed to model and simulate events and equipment will be presented. A major course project simulating either a space, information or manufacturing system will cover the last quarter of the course and replace the final.Prerequisites: MATH 313 and MATH 340; senior or graduate standing.
Meets with MAE 4506 and ENGR 535.
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MAE 5110 - Solid Mechanics 3 Credits
Fundamental applied elasticity. Theory of stress and strain and stress-strain-temperature relationships. Inelastic materials. Energy methods: stationary PE, Castigliano’s theorem. Classical problems in elasticity. Flat plates, stress concentrations, fracture, contact mechanics, and creep.Prerequisites: MATH 447 and MAE 4402/MAE 5493.
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MAE 5115 - Plates and Shells 3 Credits
Static and dynamic analysis of beams, arches, rings, plates, and shell structures. Development of coordinates, strain, stress-strain relationships, forces and moments, boundary conditions, and equations of motion using Hamiltonﾑs theorem. Solutions by exact and computational techniques.Prerequisites: MATH 447, MAE 4150/MAE 5190 and MAE 4402/MAE 5493.
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MAE 5125 - Advanced Dynamics 3 Credits
Analytical dynamics: Lagrange’s equations, Hamiltonﾑs principle and variational calculus, Routh’s method Hamilton’s equations. Applications in rigid bodies and continuous, nonautonomous, and nonlinear systems. Stability of nonlinear systems with Liapunov’s direct method.Prerequisites: MATH 447 and MAE 4402.
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MAE 5130 - Advanced Fluid Dynamics 3 Credits
Mechanics of fluids. Governing equations: conversation laws, flow kinematics, and basic theorems. Ideal fluid flow: 2- and 3-D potential flows and surface waves. Viscous flows of incompressible fluids: exact solutions, low- Reynolds number approximations, and boundary layer theory. Compressible flow of inviscid fluids: shock waves, 1-D and multi-dimensional flows.Prerequisites: MATH 447 and MAE 3130.
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MAE 5131 - Computational Fluid Dynamics 3 Credits
An overview of fundamental numerical solution methods for fluid flow problems as well as introduces commercial CFD software. Discretization techniques and solution algorithms for solving different equation types important to fluid dynamics will be studied.Prerequisites: MAE 3130.
Meets with MAE 4131.
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MAE 5150 - Advanced Vibrations 3 Credits
A second course in vibrations covering the following topics: multiple-degree of freedom systems, undamped and damped, harmonic and forced, numerical solutions, continuous systems, and the finite-element method.Prerequisites: MATH 313 and MATH 340; MAE 4150/5190.
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MAE 5155 - Mechanics of Composite Materials 3 Credits
Polymer, metal, and ceramic matrix composites. Anisotropic and orthotropic elasticity, rotation and layering of laminas, properties of laminate structures. Failure theories: Tsai-Hill and Tsai-Wu. Hygrothermal and piezoelectric strains/stresses in composites. Computation of composite behavior.Prerequisites: MAE 4150 or MAE 5190 and MATH 447.
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MAE 5160 - Finite Element Analysis for Mechanics 3 Credits
An introduction to finite element analysis (FEA) procedures in mechanics, beginning with vectors, matrices and tensors, and continuing with formulation and calculation of FEA for solid mechanics, static and dynamic structural mechanics, heat transfer, electric fields, and incompressible fluid flow analysis. Students will do a significant amount of programming in the language of their choice.Prerequisites: MATH 447, MAE 4150/ AE 5190, and programming competency.
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MAE 5165 - Micro Electro Mechanical Systems (MEMS) 3 Credits
Integration of electrical and mechanical processes to design micromachines. Properties of materials. Structural design: fundamental mechanics, systems, and vibrations. Transducer and actuator principles. Sensor design integration and applications.Prerequisites: MATH 313, MATH 340, MAE 4402 or MAE 5493, ECE 2220 or equivalent.
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MAE 5167 - MEMS Design and Fabrication Laboratory 3 Credits
Integration of electrical and mechanical design processes to build micro machines. Process design: wet chemical etching, wafer bonding, RIE and CMP. Surface micro machining. Sensor design integration and application.Prerequisites: MAE 5165.
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MAE 5205 - Fracture Mechanics 3 Credits
Fundamental concepts of structural failure. Stress intensity, energy criterion, cracking, and damage tolerance. Linear Elastic Fracture Mechanics: stress concentrations, Griffith energy, energy release rates, K/G and J-integrals, crack tip plasticity. Plane stress/strain, and mixed-mode failure. Graduate credit requires the solution and presentation of a class project.Prerequisites: MATH 313, MATH 340 and MAE 2102.
Meets with MAE 4210.
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MAE 5210 - Advanced Fracture Mechanics 3 Credits
Review of linear elastic fracture mechanics. Dynamic fracture mechanics: arrest and branching, energy release rates, contour integrals, and examples. Elastic-plastic fracture mechanics, including Dugdale’s model, J-integrals, CTOD, and mixed-mode failure. Introduction to computational technique.Prerequisites: MAE 4210 and MATH 447.
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MAE 5391 - Rocket Propulsion 3 Credits
Basic theory of rocket propulsion, nozzle performance, propellant characteristics. Primary emphasis on the engine system design process, based on mission requirements. Chemical, as well as nuclear, electric, and advanced propulsion concepts are treated.Prerequisites: MATH 340 and MAE 2301.
Meets with MAE 4316.
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MAE 5402 - System Dynamics 3 Credits
Kinematics, relative motion, and rotation of particles and rigid bodies, including inertia tensors, Euler’s angles and equations. Variational principles, work, energy expressions, and Lagrange’s equations. Electrical circuits and electromechanical systems.Prerequisites: MAE 4402.
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MAE 5410 - Astrodynamics 3 Credits
Rigorous development and application of the fundamental principles of astrodynamics to satellite motion. Study of coordinate systems, time keeping, computation of orbits, introduction to perturbation theory, Kepler’s and Lambert’s problems, linear orbit theory, patched conics method.Prerequisites: MAE 4402 or consent of instructor.
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MAE 5411 - Space Operations Analysis 3 Credits
An advanced class in astrodynamics and space mission operations. The primary goal is to present numerical methods useful in evaluating spacecraft trajectories. This will include methods of orbit determination, numerical vehicle targeting, and statistical estimation theory.Prerequisites: MAE 4410/5410.
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MAE 5412 - Atmospheric Flight Control 3 Credits
Feedback control of aerospace vehicles operating in the atmosphere (aircraft and missiles). Aircraft and missile stability augmentation and autopilots. Frequency-domain analysis and synthesis, Bode/Nyquist, loop shaping.Prerequisites: MAE 3420 and MAE 4415/MAE 5415.
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MAE 5415 - Flight Dynamics 3 Credits
Advanced treatment of the flight dynamics of atmospheric flight vehicles and spacecraft. Rigorous development of non-linear equations of motion, including environmental and propulsive forces. Linearization via small-perturbation methods limitations. Transient response, stability, natural modes. Intro to simulation techniques.Prerequisites: MAE 3401, MAE 4402 recommended by the instructor.
Meets with MAE 4415.
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MAE 5417 - Analysis of Mechanical and Aerospace Dynamic Systems 3 Credits
Unified approach to dynamic systems analysis; method for development of lumped-parameter analytical models for mechanical and electromechanical systems, vehicles, robots, power systems; energy-based state-space formulations; simulation of linear and non-linear systems; perturbation techniques and neighboring trajectories; controllability concepts; modal analysis.Prerequisites: MAE 3401 and MAE 4421.
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MAE 5418 - Multivariable Modeling and Control of Mechanical and Aerospace Systems 3 Credits
Modeling, system representation, and control for multivariable mechanical and aerospace systems. Topics include system representation, observability, controllability, decoupling, and controller design.Prerequisites: MAE 5417.
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MAE 5419 - Trajectory Optimization 3 Credits
Optimization of the non-linear dynamics governing trajectories of aerospace vehicles or robots. Calculus of variations and numerical algorithms. Optimal orbit transfer, launch, reentry, and interplanetary trajectories; robot path planning. Treatment of equality and inequality constraints (e.g heating, loads). Projects in numerical optimization.Prerequisites: MATH 313, MATH 340, MAE 2102, and Graduate level linear algebra and astrodynamics recommended.
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MAE 5421 - Digital Control of Mechanical and Aerospace Systems 3 Credits
A laboratory based course addressing the feedback control of aerospace vehicles, with special focus on the fact that the control systems will be implemented digitally. domain systems analysis, discrete loop- shaping synthesis techniques; sample- ate selection; quantization effects. Real-time code generation and implementation. Hardware-in-the-loop testing and validation. Aircraft and missile stability augmentation and autopilots, spacecraft attitude control, and control of flexible systems.Prerequisites: MAE 4421 or ECE 4510.
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MAE 5424 - Spacecraft Attitude Dynamics and Determination 3 Credits
Graduate-level treatment of spacecraft attitude dynamics and attitude determination techniques. Vector treatment of 3-D rigid-body rotational spacecraft dynamics, kinematics, Euler angles, quaternions, angular momentum. Attitude matrix,algebraic attitude determination algorithms, intro to dynamic determination techniques.Prerequisites: MAE 4402 and MATH 313.
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MAE 5425 - Spacecraft Attitude Control 3 Credits
Graduate-level treatment of attitude feedback-contro techniques. Review of attitude dynamics and conventional control analysis and synthesis methods. Loop-shaping design techniques; control-system requirements. Safe-hold algorithms, tracking, regulation control and maneuvering.Prerequisites: MAE 4421, MAE 5424, and ECE 3610.
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MAE 5450 - Robotics 3 Credits
Dynamics, kinematics, and automatic control of robotic devices. Force and position control, path planning.Prerequisites: MATH 313, MATH 340, MAE 3401, and MAE 4421.
Meets with MAE 4450.
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MAE 5455 - Flight Mechanics 3 Credits
A fundamental study of the trajectory dynamics of aerospace vehicles operating in the atmosphere (aircraft and missiles). Rigidbody equations of motion; vehicle-carried coordinate systems; aerodynamic and propulsive forces; maneuvering flight; introduction to trajectory simulation.Prerequisites: MAE 4402/MAE 5493, MATH 313 and MATH 340.
Meets with MAE 4455.
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MAE 5456 - Spacecraft Actuators and Sensors 3 Credits
Modeling of spacecraft actuators, including momentum wheels, reaction wheels, gas jets, and magnetic torque bars. Modeling of spacecraft sensors, including sun sensors, star sensors, earth sensors, magnetometers, gyros, and GPS.Prerequisites: MAE 5402 and MATH 340.
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MAE 5460 - GPS Principles and Applications 3 Credits
Course will focus primarily on GPS (Global Positioning Satellite) navigation system and its limits and applications in navigation on earth and near-space. Effects of atmospheric propagation will be included. Surveys of usage for such navigational systems to the military and civilian sectors will be given.Prerequisites: MAE 4410/5410 and MATH 381 or ECE 3610.
Meets with MAE 4460.
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MAE 5495 - Launch Vehicle Analysis 3 Credits
Theory of rocket performance, nozzle performance, propellant characteristics, staging, throw-weight analysis, launch trajectory analysis, orbit injection. Development of launch-vehicle requirements based on mission requirements.Prerequisites: MAE 2301, MAE 3130.Corequisites: MAE 5410.
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MAE 5510 - Engineering Design I 1 Credits
Design principles with the realistic constraints of economy, safety, reliability, aesthetics, ethics and social impact. Project and team organization to meet design goals. Professional oral and written communication of the design through presentations, memos, reports, and e-mail.Prerequisites: Senior/ Graduate standing.
Meets with MAE 4510.
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MAE 5511 - Engineering Design II 3 Credits
Project laboratory for the senior or graduate student for the design of a mechanical or melectromechanical component, with emphasis on the identification, selection, design, and simulation or fabrication of the component. A successful project is required for completion of the course.Prerequisites: MAE 4510/MAE 5510.
Meets with MAE 4511.
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MAE 5559 - Manufacturing Technology and the Factory of the Future 3 Credits
Engineering and technology issues are integrated with management methods and international interaction to examine future developments in manufacturing. Topics include: computer-integrated manufacturing, robotics, flexible automation, expert systems, integration of design and production through databases and telecommunications, the humanmachine interface, and manufacturing management information systems.Prerequisites: MAE 4541/MAE 5574 and MAE 4542/MAE 5575.
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MAE 5560 - Engineering Project Management 3 Credits
Capstone course involving all components of the manufacturing systems engineering curriculum. Focus on mathematical programming, networks, dynamic programming and tools such as PERT/CPM to model projects, systems and timelines. A major portion of the course is a hands-on project. Written and oral reports are required that meet publication standards for completeness, clarity and technical integrity.Prerequisites: Graduate status.
Meets with ENGR 505.
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MAE 5570 - Design for Manufacture 3 Credits
Theories and practice for achieving manufacturable designs. Topics include: introduction to manufacturing processes, creativity and design, DFM concepts, design philosophy, company DFM programs, group technology, cost and value analysis, life-cycle engineering, assembly strategies, and human factors.Prerequisites: ENGR 342 and MAE 2501.
Meets with MAE 3560.
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MAE 5571 - Analysis and Design of Experiments 3 Credits
Statistical methods to design experiments for the design of effective manufacturing systems. Balanced treatment of traditional and modern techniques in experiment design, with emphasis on real-world applications. Processes of planning, collecting data, and analyzing the data are covered.Prerequisites: Senior/Graduate standing and either ECE 3610 or MATH 381.
Meets with MAE 4561.
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MAE 5574 - Cellular Manufacturing 3 Credits
Cellular manufacturing has become an essential part of most world-class strategies. Investigation of analysis design and implementation of high-performance manufacturing cells. Topics include: key cell design issues, simulation in cell design, techniques for economic evaluation, group technology, just-in-time strategies, and team building in cellular manufacturing.Prerequisites: MAE 3560/MAE 5570, MAE 4561/MAE 5571 and MAE 4506/MAE 5596.
Meets with MAE 4541.
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MAE 5575 - Contemporary Issues in Manufacturing 3 Credits
Introduction to world class manufacturing including interaction with customers and suppliers, integrated and concurrent manufacturing, and just-in-time production meeting customer requirements, using case analysis, field study, and experiential learning.Prerequisites: MAE 3560/MAE 5570, MAE 4561/MAE 5571 and MAE 4506/MAE 5596.
Meets with MAE 4542.
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MAE 5593 - Space Sensor Systems 3 Credits
Introduction to airborne and space based sensor systems and data fusion techniques. The sensor design and performance characteristics of microwave and millimeter wave radar systems, infrared (IR) thermal imagers, and electrooptical (EO) devices will be covered. Additionally, multiple sensor systems, data fusion, and tracking will be discussed.Prerequisites: MATH 340, PES 112 and MAE 5092.
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MAE 5595 - Space Mission Analysis 3 Credits
Space environment, spacecraft communication constraints. Orbit selection, launch requirements, communication requirements. Development of spacecraft design requirements, as driven by the mission requirements.Prerequisites: MAE 5410.
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MAE 5596 - Space Mission Design 3 Credits
A capstone course which includes some review of engineering subsystem technology. Students will be asked to configure and design a spacecraft bus to fulfill missions specified.Prerequisites: MAE 5595.
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MAE 6415 - Robust Multivariable Control 3 Credits
Theory and application for multivariable feedback control systems, limitations of achievable performance and stability robustness in the face of uncertainty in the dynamics of the controlled system. Characterization of uncertainty, and robustness analysis. Multivariable synthesis techniques, applications to control of electromechanical systems and spacecraft.Prerequisites: ECE 5520.
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MAE 6430 - Optimal Estimation Theory 3 Credits
Theory of optimal estimation, with applications to aerospace navigation. Kalman filtering, and complementary filters, continuous and discrete formulations. Observability issues, sensor selection, numerical methods.Prerequisites: ECE 4610 or ECE 5610.
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MAE 6432 - Advanced Astrodynamics 3 Credits
Special and general perturbations including geopotential expansions and other perturbing forces are covered. Also included are circular restricted three-body problems; Jacobi integral and zero velocity curves, and Hamiltonian mechanics including canonical transformations and the Hamilton-Jacobi equation applied to two-body motion.Open to graduate students only.Prerequisites: MAE 5410 or equivalent.
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MAE 7000 - Master’s Thesis 1 to 12 Credits
For master’s thesis in mechanical and aerospace engineering.Prerequisites: Prior agreement with faculty advisor.
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MAE 7500 - Master’s Research 1 to 12 Credits
Research credit for master’s program in mechanical and aerospace engineering.Prerequisites: Prior agreement with faculty advisor.
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MAE 8000 - Doctoral Dissertation 1 to 12 Credits
For doctoral dissertation in mechanical and aerospace engineering.Prerequisites: Prior agreement with faculty advisor.
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MAE 9110 - Special Topics: Undergraduate 1 to 3 Credits
An opportunity for students to study special subjects in mechanical and aerospace engineering, undergraduate level.Prerequisites: Prior agreement with faculty advisor.
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MAE 9400 - Independent Study: Undergraduate 1 to 3 Credits
Provides opportunity for independent study in mechanical and aerospace engineering by one or more students on topics determined by a faculty member.Prerequisites: Prior agreement with faculty advisor.
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MAE 9500 - Independent Study: Graduate 1 to 6 Credits
Provides opportunity for independent study in mechanical and aerospace engineering by one or more graduate students on topics determined by a faculty member.Prerequisites: Prior agreement with faculty advisor.
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MAE 9510 - Special Topics: Graduate 1 to 3 Credits
An opportunity for students to study special subjects in mechanical and aerospace engineering, graduate level.Prerequisites: Prior agreement with faculty advisor.
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MAE 9520 - Graduate Seminar 1 to 3 Credits
Allows graduate students credit for attending department seminars and workshops.Prerequisites: Prior agreement with faculty advisor.
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MAE 9999 - Candidate for Degree 0 Credits
Candidate for degree.Prerequisites: Prior agreement with faculty advisor.
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MATH 90 - Fundamentals of Algebra 2 Credits
A review of basic algebra and arithmetic, including algebra of polynomials, factorization of simple polynomials, arithmetic operations on fractions and rational expressions, laws of exponents, linear equations and inequalities in one variable, quadratic equations using factoring.Administered through the Department of Mathematics. Pass/fail grading only. Does not count toward BA or BS degree.
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MATH 104 - College Algebra 3 Credits
An in-depth study of algebraic equations and inequalities. Comprehension of the underlying algebraic structure will be stressed as well as appropriate algebraic skills. The study will include polynomials, rational, exponential, and logarithmic functions as well as systems of equations/inequalities.Prerequisites: Score 9 or more on algebra diagnostic exam. *** See Mathematics Department prerequisite policy. ***
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MATH 105 - Elementary Functions of Calculus 4 Credits
An intensive study of the elementary functions required for calculus. These functions will include polynomial, rational, exponential, logarithmic, and trigonometric functions. Emphasis is on their algebraic structure and graphs. Analysis of conic sections and analytic geometry will be included.Prerequisites: MATH 104 or score 20 or more on algebra diagnostic exam. **See Mathematics Department prerequisite policy. ***
GT-MA1
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MATH 111 - Topics in Linear Algebra 3 Credits
For business and economics students. Systems of linear equations, matrix algebra, linear programming, probability, statistics.Prerequisites: MATH 104 or score 17 or more on algebra diagnostic exam. **See Mathematics Department prerequisite policy**
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MATH 112 - Calculus for Business and Economics 3 Credits
Calculus for business and economics students.Prerequisites: MATH 104 or score 17 or more on algebra diagnostic exam. **See Mathematics Department prerequisite policy**
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MATH 120 - Reasoning about Data 3 Credits
Helps students develop quantitative and qualitative reasoning skills by applying inductive and deductive reasoning, mathematics, and statistics to real world data.This course is one of the means to satisfy the Qualitative and Quantitative Reasoning requirement.
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MATH 131 - Calculus I with Refresher Precalculus Part A 3 Credits
See MATH 135 for calculus topics covered. Algebraic and elementary function topics are covered throughout, as needed. MATH 131 and 132 together are equivalent to MATH 135. The sequence MATH 131-132 is designed for students whose manipulative skills in the techniques of high school algebra and precalculus may be inadequate for MATH 135.Credit not granted for both this course and MATH 135.Prerequisites: 4 years high school math (algebra, geometry, trigonometry or their equivalents). The equivalents of MATH 104 (College Algebra) and MATH 105 (Elementary Functions for Calculus) or score 20 or more on the Algebra Placement Exam AND score 10 or more on the Calculus Readiness Exam. Most students with 4 years of high school mathematics (Algebra I and higher) will qualify.
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MATH 132 - Calculus I with Refresher Precalculus Part B 3 Credits
Continuation of MATH 131. See MATH 135 for calculus topics covered. Algebraic and trigonometric topics are studied throughout, as needed.Credit not granted for both this course and MATH 135.Prerequisites: MATH 131, the equivalents of MATH 104 (College Algebra) and MATH 105 (Elementary Functions for Calculus) or score 20 or more on the Calculus Readiness exam. Most students with 4 years of high school mathematics (Algebra I or higher) will qualify.
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MATH 135 - Calculus I 4 Credits
Selected topics in analytical geometry and calculus. Rates of change of functions, limits, derivatives of algebraic and transcendental functions, applications of derivatives, and integration.Prerequisites: MATH 105 or score 20 or more on the Algebra Placement Exam AND score 10 or more on the Calculus Readiness Exam. *** See Mathematics Department prerequisite policy. ***
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MATH 136 - Calculus II 4 Credits
Continuation of MATH 135. Transcendental functions, techniques and applications of integration, Taylor’s theorem, improper integrals, infinite series, analytic geometry, polar coordinates.Prerequisites: MATH 135.
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MATH 215 - Discrete Math 3 Credits
Introduction to most of the important topics of discrete mathematics, including set theory, logic, number theory, recursion, combinatorics, and graph theory. Much emphasis will be focused on the ideas and methods of mathematical proofs, including induction and contradiction.Prerequisites: MATH 135.
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MATH 235 - Calculus III 4 Credits
Continuation of MATH 136. Parametric curves, vector functions, partial differentiation, multiple integrals, Green’s Theorem and Stoke’s Theorem.Prerequisites: MATH 136.
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MATH 281 - Introduction to Basic Statistics 3 Credits
Study of the elementary statistical measures. Introduction to probability, statistical distributions, statistical inference and hypothesis testing.Prerequisites: MATH 104 or equivalent.
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MATH 301 - Mathematics for Elementary Teachers I 3 Credits
Covers the whole number, integer, and rational number systems that are of prime importance to the elementary teacher.For students planning on elementary teacher certification.
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MATH 302 - Mathematics for Elementary Teachers II 3 Credits
Intuitive and logical development of the fundamental ideas of geometry such as parallelism, congruence, and measurement. Includes study of plane analytical geometry.For students planning on elementary teacher certification.
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MATH 310 - Statistics for the Sciences 3 Credits
Descriptive probability, hypothesis testing, nonparametric methods. Discrete and continuous random variables, mean and variance, confidence limits, correlation and regression.Prerequisites: MATH 135.
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MATH 311 - Theory of Numbers 3 Credits
A careful study, with emphasis on proofs, of the following topics associated with the set of integers: divisibility, congruences, arithmetic functions, sums of squares, quadratic residues and reciprocity, and elementary results on distributions of primes.Prerequisites: MATH 136 and MATH 215.
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MATH 313 - Introduction to Linear Algebra 3 Credits
Systems of linear equations, matrices, vector spaces, linear independence, basis, dimension, determinants, linear transformations and matrices, eigenvalues and eigenvectors.Prerequisites: MATH 135.
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MATH 340 - Introduction to Differential Equations 3 Credits
First order differential equations, linear differential equations, the Laplace transform method, power series solutions, numerical solutions, linear systems.Prerequisites: MATH 235.
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MATH 341 - Estimation, Convergence and Approximation 3 Credits
Sequences, numerical series, and power series. Integrals and the analysis of functions defined by integrals. This course provides a thorough introduction to proofs in analysis, and is strongly recommended for students planning to take Math 431.Prerequisites: MATH 235.
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MATH 350 - Graph Theory 3 Credits
Standard material on the theory of both directed and undirected graphs, including the concepts of isomorphism, connectivity, trees, transferability, planar graphs, coloring problems, relations and matrices.Prerequisites: MATH 215.
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MATH 351 - Topics in Combinatorial Analysis 3 Credits
A survey of important areas of combinatorics. Topics may include enumeration techniques, recurrence relations, combinatorial designs, graph theory, machining and optimization.Prerequisites: MATH 215.
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MATH 381 - Introduction to Probability and Statistics 3 Credits
The axioms of probability and conditional probability will be studied as well as the development, applications and simulation of discrete and continuous probability distributions. Also, expectation, variance, correlation, sum and joint distributions of random variables will be studied. The Law of Large Numbers and the Central Limit Theorem will be developed. Applications to statistics will include regression, confidence intervals, and hypothesis testing.Prerequisites: MATH 235.
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MATH 405 - Topics in Mathematics Secondary Classroom 1 to 3 Credits
The topics covered will vary from one offering to the next. Topics will be chosen to meet the needs of secondary mathematics teachers for additional training to teach to the Colorado Model Content Standards.Prerequisites: One semester of calculus, or instructor approval
Meets with MATH 505.
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MATH 410 - Technology in Mathematics Teaching and Curriculum 3 Credits
Methodology for using technology as a teaching/learning tool for high school and college math courses. Use of graphing calculators, computer algebra systems, computer geometry systems and the Internet will be emphasized. Students are required to develop and present a portfolio of in-depth projects.Prerequisites: MATH 136
Meets with MATH 510.
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MATH 413 - Linear Algebra I 3 Credits
Vector spaces, linear transformations and matrices, determinants, eigenvalues, similarity transformations, orthogonal and unitary transformations, normal matrices and quadratic forms.Prerequisites: MATH 313
Meets with MATH 513.
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