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Mathematics |
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MATH 4123 Linear Algebra and Matrix Theory
(3 hours)
Systems of linear equations. Eigenvalues and eigenvectors. Finite dimensional vector spaces. Linear transformations with applications. Numerical solutions of systems of linear equations. Prerequisite: MATH 2024 .
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MATH 4133 Introduction to Complex Functions
(3 hours)
Complex numbers and functions. Complex derivatives and integrals. Taylor and Laurent series, residues. Conformal mapping with applications. Prerequisite: MATH 2073 .
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MATH 4143 Introduction to Partial Differential Equations
(3 hours)
Fourier series. Sturm-Liouville problems. The heat, Laplace, and wave equations. Separation of variables. Eigenfunction expansion. Fourier and Laplace transformations. Green’s functions. Canonical forms of second-order linear equations. Method of characteristics. Asymptotic expansion techniques. Prerequisite: MATH 3073 .
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MATH 4213 Mathematical Modeling
(3 hours)
The process of construction, analysis, and validation of mathematical models for continuous and discrete problems based on concrete examples. Projects are required. Prerequisite: MATH 3073 .
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MATH 4353 History of Mathematics
(3 hours)
Overview of the history of mathematics from ancient Egypt to the present. Appropriate for undergraduate math and math education majors as well as students working toward master’s degrees in math/science education. Prerequisite: MATH 2014 .
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MATH 4373 Mathematical Concepts and Reasoning
(3 hours)
Topics in mathematics relevant to the teaching of mathematics in elementary and middle schools, including geometry, logic, mathematical problem solving, and use of technology in the teaching of mathematics. This is the capstone mathematics course for elementary education majors. Prerequisites: MATH 1053 , MATH 1083 ; STAT 2013 ; and junior standing.
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MATH 4503 Introduction to Numerical Methods
(3 hours)
Error analysis of computer arithmetic. Solution of nonlinear equations. Roots of polynomials. Interpolation and approximation methods. Numerical differentiation and integration. Initial value problems for ordinary differential equations. Prerequisites: MATH 2024 .
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MATH 4703 Numerical Methods for Initial and Boundary Value Problems
(3 hours)
Basic numerical methods for solving initial value problems and boundary value problems for differential equations arising in science and engineering are studied. Finite difference methods for elliptic, parabolic, and hyperbolic partial differential equations are emphasized. Introduction to the mathematics and use of the finite element method is included. Prerequisite: MATH 2073 or permission of instructor.
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MATH 4863 Special Topics in Mathematics
(3 hours)
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MATH 4983 Senior Thesis
(3 hours)
Each student investigates a mathematical topic not covered by his or her previous undergraduate work. Submission of a written thesis and an oral presentation is required. Prerequisites: Senior standing and departmental approval.
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MATH 4991-3 Independent Study
(1-3 hours)
Independent or group studies on special topics. Prerequisite: Permission of instructor.
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MATH 5013 Advanced Mathematical Modeling
(3 hours)
The process of construction, analysis, and validation of dynamic and discrete mathematical models for the physical sciences. Computer implementation and subsequent assessment of mathematical models. Introduction to the Mathematica programming environment. Prerequisites: MATH 3073 and MATH 4123 or permission of instructor.
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MATH 5053 Dynamical Systems
(3 hours)
Mathematical and computational techniques for examining continuous and discrete nonlinear systems of ordinary differential equations. Linear stability analysis.1D and 2D phase portraits and bifurcation analysis. Limit cycles. Chaos. Applications to engineering, biology, physics and chemistry. Prerequisite: MATH 3073 .
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MATH 5103 Advanced Differential Equations
(3 hours)
Series solutions. Distributions and wak solutions for initial and boundary value problems. Perturbation methods. Nonlinear partial differential equations. Complex variable techniques. Systems of partial differential equations. Prerequisite: MATH 3073 .
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MATH 5203 Dynamical Systems
(3 hours)
Mathematical and computational techniques for examining continuous and discrete nonlinear systems of ordinary differential equations. Linear stability analysis. 1D and 2D phase portraits and bifurcation analysis. Limit cycles. Chaos. Applications to engineering, biology, physics and chemistry. Prerequisite: MATH 3073 .
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MATH 5243 Computational Linear Algebra
(3 hours)
Computational techniques for the solution of systems of linear and non-linear algebraic equations. Emphasis on the intelligent use of existing software packages. Laboratory exercises using matrix-based computational environments required. Same as CS 5243 . Prerequisite: MATH 4123 .
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MATH 5253 Numerical Optimization
(3 hours)
An introduction to numerical techniques for unconstrained and constrained optimization. Applications to nonlinear regression and science and engineering problems.
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MATH 5273 Numerical Differential Equations
(3 hours)
Numerical analysis of engineering and scientific problems with special emphasis on discrete techniques for ordinary and/or partial differential equations, and on problem formulation and solution. Prerequisites: MATH 3073 , CS 1043 or CS 2503 and Mathematica, or permission of instructor.
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MATH 5283 Applied Functional Analysis
(3 hours)
Metric spaces. The fixed point theorem and its application to linear algebraic systems, differential equations, and integral equations. Normed spaces. Inner product spaces. Operators on abstract spaces. Approximation theory.
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MATH 5293 Linear Functional Analysis
(3 hours)
Linear functional equations in Banach and Hilbert spaces. The Riesz representation theorem, open mapping theorem, and Fredholm alternative, and their applications.
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MATH 5353 Discrete and Integral Transforms
(3 hours)
Fourier, Laplace, Wavelet and other discrete and continuous transforms with applications to the analytic solution of partial differential equations, data compression, image processing and filtering.
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MATH 5423 Probability
(3 hours)
Introduction to probability theory. Probability spaces. Random variables. Distribution functions. Conditional probability and expectation. Introduction to stochastic processes including Markov chains. Prerequisites: MATH 2073 and STAT 4813 , or permission of instructor.
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MATH 5503 Stochastic Modeling and Simulation
(3 hours)
Classical and Bayesian statistical inference. Comparison and validation of models. Random number generation and stochastic simulation including Markov Chain Monte Carlo methods. Prerequisite: STAT 4813 or permission of instructor.
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MATH 5533 Applied Regression
(3 hours)
Methods for fitting deterministic models to data in the presence of noise. Least squares. Statistical analysis. Empirical response. Surface optimization in the presence of noise. Nonlinear models. Prerequisite: STAT 4813 .
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MATH 5553 Statistical Learning
(3 hours)
Statistical methods in supervised and unsupervised learning including classification and clustering, regularization and shrinkage for high dimensional data sets, non-linear models. Applications using these methods will be explored. Prerequisites: STAT 4813 and MATH 4123 or equivalents and permission of instructor.
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MATH 5613 Mathematical Biology
(3 hours)
Biological modeling with ordinary and partial differential equations. Emphasis on formation, analysis, and implications of models. Pattern formation (including Turing patters); chemotaxis, traveling wave solutions; biofluids; tumor growth; spread and control of epidemics. Prerequisite: MATH 4143 .
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MATH 5863 Special Topics in Mathematics
(3 hours)
Prerequisite: Permission of instructor.
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Mechanical Engineering |
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ME 1212 Mechanical Engineering Graphics
(2 hours)
Methods of graphical communication and computer aided drawing for engineers. Interpretation and preparation of engineering drawings to include orthographic projection, dimensioning, sectional and auxiliary views, and threads and fastener specifications. Four lecture-laboratory hours per week.
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ME 1311 To Be a Mechanical Engineer
(1 hour)
Introduction to the University, College, Department, and the mechanical engineering profession. Tours and guest speakers from industry and the University. Hands-on experience with several topics including design, engineering software, manufacturing, materials and cost analysis.
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ME 2001 Professional Aspects of Mechanical Engineering
(1 hour)
Resume writing, interviewing techniques, job searching, requirements for professional licensure, business etiquette, appropriate dress, use of social media, and knowledge of alternative career paths including graduate school. Prerequisites: Sophomore standing.
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ME 2023 Introduction to Dynamics
(3 hours)
Kinematics and kinetics of particles, systems of particles, and rigid bodies in plane motion. Forces and acceleration analysis using Newton’s second law and energy and momentum methods. Prerequisite: ES 2013 .
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ME 3014 Thermofluids
(4 hours)
Theoretical and experimental analysis of the mechanics and thermodynamics of flowing fluids. Topics include pipe flow system design, external flow, turbomachinery, compressible flow, and design of experiments in thermofluids. Laboratory and design projects require technical report writing. Prerequisite: ES 3003 . Three hours lecture and three hours laboratory per week.
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ME 3034 Properties of Materials
(4 hours)
Mechanical and physical properties of engineering materials (metals, ceramics, and polymers) are explained through their structures. Topics include strength and ductility, crystal structures and defects, phases and microstructure, heat treatment, manufacturing processes, and materials economics. Design applications including materials failure analysis projects and technical report writing. Prerequisites: CHEM 1013 and ES 2013 . Three hours lecture and three hours laboratory per week.
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ME 3043 Energy Conversion
(3 hours)
Performance and design considerations of energy conversion systems including combustion. Design and performance problems involving steam, gas turbine, and combined cycle power plants, reciprocating and rotary engines, and refrigeration. Discussions of current topics in the energy industry. Prerequisites: CHEM 1013 and ES 3053 .
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ME 3053 Instrumentation and Measurements
(3 hours)
Basic concepts of measurement methods. Probability and statistics of finite and infinite data. Measurement uncertainty analysis. Static and dynamic characteristics of signals. Response to zero, first and second order measurement systems. Analog and digital instruments. Design and conduct experiments. Data acquisition and formal report writing using modern engineering tools. Prerequisites: ES 2513 and ES 2013 .
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ME 3063 Manufacturing Processes
(3 hours)
Basic understanding of manufacturing processes (casting, molding, machining, and others), machines, and various techniques for statistical quality control. Specific aspects of modeling of manufacturing processes, process analysis, and design for manufacturability, including process description, variables affecting the process, and means of controlling these variables. Manufacturing economics in a societal context. Prerequisite: ES 3023 . Corequisites: ME 2023 and ME 3034 , or permission of instructor.
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ME 4024 Machine Dynamics
(4 hours)
Kinematic and force analysis of machines and mechanisms. Mechanical vibrations, balancing, and critical speed. Dynamic measurement using transducers and data acquisition systems, analysis and interpretation of data, lab report writing. Introduction to multi-body simulation using modern engineering software. Written laboratory reports. Prerequisite: ME 2023 . Three hours lecture and three hours laboratory per week.
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ME 4033 CFD for Engineers
(3 hours)
Introduction to the use of Computational Fluid Dynamics (CFD) in solving practical engineering problems. Theory of relevant physics and numerical methods and discussion of internal workings and limitations of commercial codes. Prerequisites: ES 3003 , familiarity with a programming language such as C++, FORTRAN, or Visual Basic.
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ME 4043 Automotive Design
(3 hours)
Fundamentals of vehicle dynamics, tire performance, suspension and steering design, handling, safety, environmental impact, and electronics of the modern automobile. Fundamental analysis of principles and hand-on experience with an automotive project. Emphasis on engineering design, fabrication, testing, and teamwork. Projects may include engineering society student competition vehicles. Prerequisite: Senior standing or permission of instructor.
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ME 4054 System Dynamics and Controls
(4 hours)
Dynamic modeling and feedback control of electrical, mechanical, fluid, and thermal systems. Classical control theory, Laplace transforms, time domain and s-plane analysis, stability theory, and root-locus and/or frequency-based design, transient response and sensitivity analysis. Usage of modern design/analysis tools such as MATLAB and Simulink. Three hours lecture and three hours laboratory per week. Prerequisites: MATH 3073 , ME 2023 , and EE 2003 (with a grade of C or higher).
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ME 4093 Introduction to Finite Element Analysis
(3 hours)
Solving boundary value problems common to engineering using the finite element method. Analysis of trusses, beams, heat transfer, and 2-D elasticity emphasized. Direct and variationalapproaches to FEA. A lab component includes using commercial finite element analysis software to solve engineering problems. Prerequisites: MATH 3073 and ES 3023 .
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ME 4293 Interdisciplinary Design Projects
(3 hours)
Team projects requiring the design, fabrication, and testing of an actual prototype engineering system for a customer often from local industry. Conceptual and detail design, modern engineering tools, design tradeoffs, safety, project planning, budgeting, marketing, patenting, aesthetics, and manufacturing. Emphasis on teamwork, oral presentations of progress and written technical reports. Prerequisite: ME 4383 or EE 4043 or PHYS 3122 or permission of instructor.
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ME 4343 Gas Turbines
(3 hours)
Design and performance of stationary and propulsion gas turbines. Performance analysis of centrifugal and axial compressors and turbines. Prerequisites: ME 3014 and ME 3043 , or permission of instructor.
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ME 4353 Refrigeration and Air Conditioning
(3 hours)
Principles of vapor compression and absorption refrigeration, heat pumps, psychrometrics. Principles of thermal comfort and environmental aspects. Determination of heating and cooling loads. Air conditioning system design and analysis. Prerequisite: ME 3043 .
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ME 4373 Computer-Aided Design
(3 hours)
Use of computer-aided design software packages including systems for computer-aided drafting, solid modeling, finite element analysis, and computer-aided manufacturing. The class culminates in a design project including fabrication of a physical prototype generated with numerically controlled machines. Prerequisites: ME 1212 and ME 4024 , or permission of instructor.
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ME 4383 Mechanical Engineering Design
(3 hours)
Application of engineering design process to the design of mechanical components, systems, and machines. Review and build upon mechanics and analytical skills. Various mechanical components such as springs, bolts, and bearings. Domestic and global design standards and modern engineering tools. Design projects, problem-solving techniques, report writing, ethics, patents, and entrepreneurship. Prerequisites: ME 2023 and ES 3023 .
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ME 4861-3 Special Topics in Design
(1-3 hours)
Topics of current interest in mechanical engineering design. Prerequisite: Junior or senior standing or permission of instructor.
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ME 4991-3 Independent Study
(1-3 hours)
Independent or group studies on special topics. Prerequisite: Permission of instructor.
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ME 5043 Gas Dynamics
(3 hours)
Fundamentals of compressible fluid flow. One-dimensional flows and normal shock waves. Introduction to two-dimensional supersonic flows including oblique shock waves, Prandtl-Meyer expansions, and the method of characteristics. Prerequisite: Permission of instructor.
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ME 5083 Advanced Manufacturing Processes
(3 hours)
Emphasis on fundamentals of exotic and nontraditional manufacturing processes, such as electrical discharge machining, jet cutting processes, ultrasonic machining, chemical and electro-chemical machining, and rapid prototyping.
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ME 5103 Theoretical Vibration
(3 hours)
Multi-degree-of-freedom and continuous vibration systems. Introduction to finite element method and approximation methods in vibration systems analysis. Prerequisite: Permission of instructor.
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ME 5143 Theory of Elasticity
(3 hours)
Fundamental laws of the deformations of solids. Equilibrium, compatibility, and constitutive behavior are discussed. Numerical methods and problem solutions are reviewed. Prerequisite: Permission of instructor.
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ME 5163 Structural Fatigue
(3 hours)
New and conventional fatigue design approaches. Crack initiation, mean stress effects, notch effects, cyclic stress-strain behavior, mean and residual stress effects, cumulative damage, crack propagation, multi-axial fatigue, environmental effects, fatigue of mechanical components (weld, springs, gears, bearings). Prerequisite: Permission of instructor.
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ME 5223 Fracture Mechanics
(3 hours)
Analysis of the behavior of materials containing flaws. Topics include the stress analysis of cracked bodies, crack tip plastic zones, energy and compliance methods, fracture toughness testing, crack opening displacement, microscopic aspects, and fatigue crack propagation. Prerequisite: ES 3023 and permission of instructor.
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ME 5273 Mechanics of Robotic Manipulators
(3 hours)
An introduction to fundamental concepts used in robotics. Joint space, (n-dimensional Euclidean space) and task space (3-dimensional Euclidean space) will be examined at the position and velocity levels. Formalisms for manipulator statics and dynamics planning and control of open chains and relevant mathematical tools will be developed.
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ME 5283 Mechanics of Composite Materials
(3 hours)
Stress-strain-temperature equations for orthotropic and anisotropic materials. Transformation of stress-strain equations to different coordinate systems. Extension-shear coupling. Mechanics of fiber reinforced lamina. Assumptions and formulation of Laminated Plate Theory. Behavior of symmetric and unsymmetric laminates. Off axis testing. Stresses in laminates. Fracture theories. Freeedge effects and delamination. Prerequisite: ES 3023 and permission of instructor.
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Music |
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MUS 0020-1 University Band
(0-1 hour)
Open to all students. Members form the nucleus of the Symphonic Wind Ensemble, Concert Band, and Golden Hurricane Marching Band.
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MUS 0030-1 University Orchestra
(0-1 hour)
Membership available to all qualified persons through audition. The standard symphonic and chamber literature is studied and performed.
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MUS 0050-1 TU Concert Chorale
(0-1 hour)
The larger, non-auditioned chorus at The University of Tulsa. Performs music from the early Renaissance to the present. Performs at least one major concert a semester and combines regularly with Capella Chamber Singers to perform larger choral works. Open to majors, non-majors, and faculty. Prerequisite: By audition only.
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MUS 0060-1 Jazz Workshop
(0-1 hour)
Varied styles of literature for combos, big bands, and vocal jazz ensembles. Open through audition or approval of director. Specialized workshop sections as noted in course schedule: 1) Big Band; 2) Combo; 3) Vocal Jazz; 4) Improvisation Lab and 5) Jazz Guitar Ensemble.
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MUS 0071 Jazz Voice
(1 hour)
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MUS 0120-1 Percussion Ensemble
(0-1 hour)
Performance of music written for percussion instruments.
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MUS 0130-1 Chamber Music Ensembles
(0-1 hour)
Chamber music involving both orchestral and band instruments in various combinations.
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MUS 0141 Accompanying
(1 hour)
The development of accompaniment techniques, including sight-reading, transposition, and classification of music. Includes laboratory. Required for piano majors.
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MUS 0150-1 TU Chamber Players
(0-1 hour)
Premiere, auditioned Chamber ensembles consisting of strings or strings in combination with other instruments. Advanced training in the art of ensemble playing. Exposes students to a variety styles and develops the technical and ensemble skills that form the backbone of all professional performance. Opportunities to perform throughout the year on an off campus. Prerequisite: By audition or permission of instructor.
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MUS 0160-1 Opera Theatre
(0-1 hour)
Public presentation of standard and contemporary opera literature, music comedy, and operetta, as well as backstage deportment, makeup, and set creation. Open through audition. Includes staging a major production.
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MUS 0171 Cappella Chamber Singers
(1 hour)
Open to music and non-music majors, is the premiere, auditioned 32-member vocal ensemble and performs Choral music from the early Renaissance to the present. In addition to seasonal performances, Cappella sings for the annual Lessons and Carols service, Baccalaureate service, and other campus functions, as well as regularly joining TU Chorale to perform larger choral works. The ensemble tours regularly and performs regionally and nationally. Prerequisite: By audition only.
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MUS 0180 Cappella Chamber Singers
(0 hours)
Open to music and non-music majors, is the premiere, auditioned 32-member vocal ensemble and performs Choral music from the early Renaissance to the present. In addition to seasonal performances, Cappella sings for the annual Lessons and Carols service, Baccalaureate service, and other campus functions, as well as regularly joining TU Chorale to perform larger choral works. The ensemble tours regularly and performs regionally and nationally. Prerequisite: By audition only.
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MUS 0211 Orchestra Repertoire Masterclass I
(1 hour)
Four-semester course prepares students for orchestral auditions or entry into a master’s program in orchestral performance. Consists of sight-reading, the study of orchestral excerpts, orchestral scores, and contemporary, jazz and pop styles in the symphonic setting. Students will present mock audition and may be required to attend rehearsals and performances of professional orchestral groups.
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MUS 0221 Orchestra Repertoire Masterclass II
(1 hour)
Four-semester course prepares students for orchestral auditions or entry into a master’s program in orchestral performance. Consists of sight-reading, the study of orchestral excerpts, orchestral scores, and contemporary, jazz and pop styles in the symphonic setting. Students will present mock audition and may be required to attend rehearsals and performances of professional orchestral groups.
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MUS 0511-3 Bassoon
(1-3 hours)
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MUS 0521-3 Clarinet
(1-3 hours)
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MUS 0531-3 Flute
(1-3 hours)
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MUS 0541-3 French Horn
(1-3 hours)
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MUS 0551-3 Oboe
(1-3 hours)
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MUS 0561-2 Organ
(1-2 hours)
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MUS 0571-3 Percussion
(1-3 hours)
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MUS 0581-3 Piano
(1-3 hours)
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MUS 0591-3 Saxophone
(1-3 hours)
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MUS 0601-2 String Bass
(1-2 hours)
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MUS 0611-3 Trombone
(1-3 hours)
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MUS 0621-3 Trumpet
(1-3 hours)
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MUS 0631-3 Tuba
(1-3 hours)
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MUS 0641-3 Viola
(1-3 hours)
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MUS 0651-3 Violin
(1-3 hours)
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MUS 0661-3 Violoncello
(1-3 hours)
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MUS 0671-3 Voice
(1-3 hours)
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MUS 0691-3 Harp
(1-3 hours)
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MUS 0701-2 Classical Guitar
(1-2 hours)
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MUS 0711-2 Electric Bass
(1-2 hours)
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MUS 0721-3 Euphonium
(1-3 hours)
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MUS 0731-2 Electric Guitar
(1-2 hours)
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MUS 1000 Freshman Recital Class
(0 hours)
All music majors are required to enroll in Recital Class for eight semesters. Attendance of Recital Class and additional recitals and concerts is required each semester.
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MUS 1003 Introduction to Music
(3 hours)
An introduction to the study of the language of music through listening, analysis, and composition. Explores the elements of music, which include pitch notation, melody, rhythm and meter, intervals, scales, chords and musical form. Students learn to distinguish musical style through listening critically to art music and popular music in various styles and genres.
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MUS 1011 Ear Training Lab I
(1 hour)
Sight singing and rhythm reading. Melodic, rhythmic, and harmonic dictation. Concentrates on diatonic melodies, melodic fragments, and diatonic chord progressions. Students also complete computer ear training lessons. Section offered with emphasis on jazz techniques.
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MUS 1013 Music Theory I
(3 hours)
Begins with music fundamentals and includes part writing of triads and the study of melodic structure. Emphasizes compositional and analytical skills and the study of music from the common practice period.
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MUS 1021 Ear Training Lab II
(1 hour)
Sight singing and rhythm reading. Melodic, rhythmic, and harmonic dictation. Concentrates on diatonic melodies, melodic fragments, and diatonic chord progressions. Students also complete computer ear-training lessons. Section offered with emphasis on jazz techniques.
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MUS 1023 Music Theory II
(3 hours)
Covers melody harmonization, non-harmonic tones, the dominant seventh chord and other diatonic seventh chords, secondary dominants, modulation, and small forms. Emphasizes compositional and analytical skills and the study of music from the common practice period. Prerequisite: MUS 1013 (minimum of “C” ) or proficiency by examination.
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MUS 1031 Guitar Proficiency
(1 hour)
Basic and functional guitar skills necessary for the student in the B.M.E. program. Prepares student for guitar proficiency examination.
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MUS 1032 Class Acoustic Guitar
(2 hours)
Solo guitar technique to develop skills for playing various styles of music. No previous experience required.
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