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Mathematics |
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MAT 120 Applied Calculus Fall-Spring Semesters
This is a one-semester course designed for Business, Biology, and other majors needing an applied calculus course. Included topics are calculating derivatives, maximum-minimum problems, curve sketching, calculating integrals and determining area under curves–and applications. The course uses applications from the business sector, and from life sciences and the social sciences. A recent and solid algebra background is essential for success in this course. Prerequisite: A 2.0 or higher in MAT 105 or the equivalent.
3 credit hours
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MAT 150 Using Data to Improve Decision Making Fall-Spring Semesters
This course focuses on the skills and concepts necessary for data-based decision making. Students will analyze, interpret, and use quantitative, graphic or visually-represented data to solve problems and will draw conclusions with measures of uncertainty by applying basic probability concepts. Students utilize SPSS and EXCEL software to aid in the analysis and interpretation of data sets. Students will also research assessment formats, both norm-referenced and criterion-referenced. Prerequisite: MAT 111 or above.
3 credit hours
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MAT 171 Calculus I Fall-Spring Semesters
Both a theoretical and an applied approach to physics and engineering are emphasized in this in-depth study of introductory calculus topics. The topics of the course include a review of algebra and trigonometry, limits, differentiation, and applications of the derivative. Prerequisite: A strong background in algebra and trigonometry or precalculus. Placement is based on MSAT score and high school math background.
4 credit hours
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MAT 172 Calculus II Fall-Spring Semesters
Topics in this second course in calculus include the definition and theory of the definite integral; numerical integration; integral applications; the calculus of logarithms, exponential, inverse, and hyperbolic functions; techniques of integration; and applications of the integral to physics and engineering. Prerequisite: MAT 171 with a grade of 2.0 or higher.
4 credit hours
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MAT 210 Strategies for Teaching Basic Mathematics Skills Spring Semester
This course will cover a wide range of topics taken from Preliminary Mathematics (MAT 102 ), College Algebra (MAT 105 ), Pre-Calculus (MAT 108 ), The Structure of Sets (MAT 115 ), and Applied Calculus (MAT 120 ). Concurrently, the students will learn effective current tutoring methodologies from the text and from current pedagogical journal articles, as well as gain application experience in these methods by observing developmental classrooms, shadowing effective math tutors, and working with experienced teachers. Prerequisite: 2.0 or higher in MAT 120 or MAT 171 .
3 credit hours
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MAT 211 Strategies for Teaching Basic Mathematics Skills Practicum Fall Semester
Under the supervision of the Center for Teaching and Learning Math Coordinator, students will actively engage in tutoring each week. Students will spend a minimum of two hours each week in the tutoring, completing coursework, observing, or meeting/planning with the mathematics coordinator. Students will work with tutees on an individualized basis as well as in small group settings. Students will model effective strategies observed in successful tutoring sessions and learned in MAT 210 . By continually evaluating the effectiveness of specific strategies, students will learn the best approach for a variety of situations. Education majors will receive 30 field experience hours in the community program block. Prerequisite: 3.0 or higher in MAT 210 .
1 credit hour
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MAT 215 The Structure of Sets and Numbers II Fall-Spring Semesters
Designed to provide foundational mathematical concepts that are in concert with national mathematics standards, the topics of this course include geometry, probability, statistics, patterns and relationships, and problem solving. Prerequisite: MAT 115 with a grade of 2.0 or higher.
3 credit hours
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MAT 235 Discrete Mathematics Fall-Spring Semesters
A course in discrete mathematics emphasizing the finite and combinatorial aspect of many mathematical structures and problems. It includes applications to computer science and probability. Prerequisite: MAT 171 , MAT 172 each with a grade of 2.0 or higher.
3 credit hours
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MAT 250 Statistics Fall-Spring Semesters
An introductory course that includes probability distributions, confidence intervals, hypothesis testing, analysis of variance, and linear regression. Prerequisite: MAT 105 with a grade of 2.0 or higher, or equivalent. Students who have taken BEH 260 or QBA 260 are not permitted to take this course.
3 credit hours
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MAT 260 Linear Algebra I Fall-Spring Semesters
An introductory course in linear equations, determinants, vectors in the plane and in space, vector spaces, linear transformations, and eigenvalues. Designed as a serious mathematics course for students in the physical sciences, mathematics education, business, or the mathematically curious. Prerequisite: or with a grade of 2.0 or higher.
3 credit hours
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MAT 271 Calculus III Spring Semester
In this third course in calculus, students study infinite series, conic sections, vectors, and the calculus of three-dimensional space, polar coordinates, partial derivatives, and multiple integrals with applications to physics and engineering. Prerequisite: MAT 172 with a grade of 2.0 or higher.
4 credit hours
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MAT 272 Differential Equations Fall-Spring Semesters
The course in differential equations covers the standard methods of solving ordinary differential equations and their applications to physics and electrical and mechanical engineering. Topics include methods for first solving order differential equations; second and higher-order equations; numerical methods for non-linear differential equations; and series solutions. Prerequisite: MAT 172 with a grade of 2.0 or higher.
4 credit hours
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MAT 280 Mathematical Structures Fall-Spring Semesters
A first course in pure mathematics. Topics include sets, logic, mathematical proofs, relations, and functions. Prerequisite: 2.0 or higher in all Math courses taken at York College.
3 credit hours
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MAT 291 Applied Mathematics for Chemists and Mathematicians Fall Semester
This course will cover theory, techniques, and applications in the following areas: line integrals, surface integrals, iterated integrals, geometric and Fourier series, Fourier transforms, partial differential equations, scalars and vectors, matrices and determinants, eigenvalues, numerical methods. It will typically be team-taught by mathematics faculty members, and will include guest lectures by chemistry professors. Prerequisite: MAT 172 with a grade of 2.0 or higher.
3 credit hours
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MAT 320 Number Theory Fall Semester, even-numbered years
This course is a bridge connecting Calculus to Elementary Analysis and Abstract Algebra. Its main subjects are integers and rational numbers, divisibility, prime numbers, congruences, Diophantine equations, and Gauss’ quadratic reciprocity law. Through the course, students will learn how to write a formal proof in a concrete setting and also use the method of contradiction and induction to prove theorems. Prerequisite: MAT 280 with a grade of 2.0 or higher.
3 credit hours
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MAT 330 Graph Theory and Combinatorics
This course will introduce students to the foundational ideas in the areas of graph theory and combinatorics. Topics include graph distance, trees, Euler and Hamiltonian trails, planar graphs, graph coloring, binomial coefficients, the pigeonhole principle, inclusion-exclusion, and generating functions. Prerequisite: MAT 260 and MAT 280 both with a grade of 2 or higher, or permission of the instructor.
3 credit hours
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MAT 340 Introduction to Geometry
An introduction to Euclidean geometry with some topics in non-Euclidean geometry. (Note: This course is not appropriate for Secondary Education-Mathematics or Mathematics majors.)
3 credit hours
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MAT 345 Modern Geometry Spring Semester
A rigorous survey of Euclidean geometry, recent additions to Euclidean geometry, non-Euclidean geometries, and additional topics. Geometer’s Sketch-pad and/or other software will be used. Knowledge of Euclidean geometry is required for this course.
3 credit hours
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MAT 350 Probability and Statistics Fall-Spring Semesters
A calculus-based course in probability and statistics that will involve probability and a study of the distributions and expected values of continuous and discrete random variables. While both the fall and spring sections cover the same essential theoretical material, the fall semester focuses on applications relevant to preparation for the actuarial society probability exam (P1) and for secondary math students. The spring semester offering focuses on applications appropriate for computer science majors, engineering management, and quantitative business majors. Prerequisite: MAT 172 with a grade of 2.0 or higher.
3 credit hours
Fall Semester- Restricted for Math and Secondary Education Math Majors. Spring Semester- Restricted for Business and Computer Science Majors. All others require permission from instructor.
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MAT 355 Math Standards Fall Semester
A course to be taken with SE 355 Teaching Mathematics in the Secondary School , this course will cover the mathematics content of the National Council of Teachers of Mathematics’ Principles and Standards, and relate them to the teaching of mathematics at the secondary school level. Corequisite: SE 355 . This course does not satisfy the core Mathematics requirement.
1 credit hour
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MAT 360 Linear Algebra II Fall Semester, even-numbered years
This course covers linear algebra at an advanced level with a theoretical approach. It aims to provide students with the concepts and theorems of linear algebra needed to pursue more advanced math courses, such as analysis, abstract algebra, and geometry. Topics covered include basis and dimension, quotients, linear maps and matrices, determinants, dual spaces and maps, invariant subspaces, canonical forms, diagonalization and Jordan forms, metric vector spaces and bilinear forms, Euclidean, unitary and symplectic spaces, Orthogonal and unitary operators. Prerequisite: MAT 260 with a grade of 2.0 or higher.
3 credit hours
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MAT 361 Abstract Algebra I Fall Semester, odd-numbered years
An introduction to modern abstract algebra, the topics of this course include modular arithmetic, number theory, and group theory. This course requires a high degree of mathematical maturity and the ability to work with abstract mathematical concepts. Prerequisite: and MAT 280 with a grade of 2.0 or higher.
3 credit hours
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MAT 362 Abstract Algebra II Spring Semester, even-numbered years
A continuation of MAT 361 , this course covers the remaining topics in modern abstract algebra of rings and fields. Prerequisite: MAT 361 with a grade of 2.0 or higher.
3 credit hours
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MAT 371 Elementary Analysis I Fall Semester
This course is an in-depth study of the foundations of differential and integral calculus, including sequences of numbers, the topology of the real line, and continuous and differentiable functions. Prerequisite: MAT 271 , MAT 272 , MAT 280 each with a grade of 2.0 or higher.
3 credit hours
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MAT 372 Elementary Analysis II Spring Semester
This course is a continuation of , Analysis I. The topics include Riemann integrals, series of real numbers, sequences and series of functions, an introduction to Fourier series, multi-differentiation, and optionally the inverse and implicit function theorems. Prerequisite: MAT 371 with a grade of 2.0 or higher.
3 credit hours
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MAT 390 History of Mathematics Fall Semester
A study of the historical development of mathematical ideas. The course emphasizes the contributions to mathematics made by different cultures. Prerequisite: MAT 172 with a grade of 2.0 or higher.
3 credit hours
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MAT 391 Cryptology Spring Semester
This course is focused on modern cryptology. It begins with a study of matrix encryption and the various attacks that show it to be insecure. Algorithms such as DES (Data Encryption Standard) and AES (Advanced Encryption Standard) are examined in detail, as is public key cryptography. Quantum cryptography is also covered. Prerequisite: MAT 171 with a grade of 2.0 or higher.
3 credit hours
Satisfies Constellation - Science & Technology for “Generation Next”
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MAT 440 Advanced Geometry
This course focuses on advanced topics in Euclidean geometry, the geometry of curves and surfaces, projective geometry and transformational geometry. Prerequisite: MAT 260 and MAT 271 each with a grade of 2.0 or higher.
3 credit hours
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MAT 470 Numerical Analysis
This is an advanced mathematics course covering selected topics in the field of applied mathematics. These topics will include Taylor series expansions and approximations, numerical integration and differentiation, solution of systems of equations, and numerical solution of ordinary and partial differential equations representing dynamics of physical systems. Solutions to the differential equations may be applied to mathematical modeling of vibrations, fluid flow, heat transfer, or other dynamical phenomena. The student will be required to write several computer programs for this course. Prerequisite: MAT 272 with a grade of 2.0 or higher, knowledge of C++ or Visual Basic.
3 credit hours
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MAT 473 Partial Differential Equations
An introduction to the study of partial differential equations, concentrating on the three major partial differential equations of mathematics and physics: the Heat Equation, the Wave Equation, and LaPlace’s Equation. Prerequisite: MAT 272 with a grade of 2.0 or higher.
3 credit hours
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MAT 477 Complex Analysis
A one-semester course in the theory and applications of functions of a complex variable. Topics include the Cauchy-Riemann equations, Cauchy’s theorem and contour integration, series representation of analytic functions, residue theory, and conformal mapping. Prerequisite: MAT 272 , MAT 371 each with a grade of 2.0 or higher.
3 credit hours
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MAT 480 Point-Set Topology Spring Semester, odd-numbered years
A study of topological spaces and related concepts, including closed and open sets, subspaces, the product topology, connectedness, compactness, and the separation axioms. Prerequisite: MAT 172 , MAT 280 each with a grade of 2.0 or higher.
3 credit hours
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MAT 490 Mathematics Internship
This off-campus internship is designed to give the students an opportunity to make use of the practical aspects of their classroom knowledge, thus developing their confidence and understanding through experience. The corporate supervisor and the faculty supervisor will evaluate student’s performance. Prerequisite: Junior standing including MAT 171 , MAT 172 , MAT 271 , and MAT 272 , each with a grade of 2.0 or higher as well as department approval of each participant’s individual program. Students are required to spend a minimum of 120 hours work on site. Students must have earned 60 or more credits and a minimum of 2.5 cumulative grade point average at the time of application.
3 credit hours
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MAT 493 Mathematics Seminar Spring Semester, odd-numbered years
The seminar in mathematics provides a capstone academic experience for Math majors and helps prepare them for the job market and graduate school. The course will have two facets: (1) presentation of major theorems, proofs, and problems from the undergraduate curriculum to the class; and (2) researching a mathematics topic from the undergraduate curriculum, writing a paper on the findings, and presenting the findings before the class and others. Prerequisite: MAT 260 , MAT 271 , and MAT 280 all with a grade of 2.0 or higher.
3 credit hours
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MAT 496 Independent Study in Mathematics
The course is designed to allow the student to pursue an area of interest in the field of mathematics. This course is limited to seniors who have previously demonstrated a high degree of proficiency in mathematics. Prerequisite: Students must have earned 60 or more credits and a minimum of 2.5 cumulative grade point average at the time of application.
3 credit hours
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MAT 497 Reading and Research in Mathematics
The course is designed to allow the student to pursue an area of interest in the field of mathematics. This course is limited to seniors who have previously demonstrated a high degree of proficiency in mathematics.
3 credit hours
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Music: Applied Courses |
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MUS 001 Recital Attendance Fall-Spring Semesters
The recital attendance requirement is an integral and essential part of a music student’s education. Through the continued attendance of the Division of Music events, students will gain exposure to musical literature, demonstrate support for their peers and faculty, and accrue vital understanding of performance etiquette and procedure. The number of recitals required will be determined by the Division of Music faculty at the beginning of each semester. Each music major shall register for this 0 credit course for multiple semesters as designated by their degree program.
0 credit hours
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MUS 002 Recital Attendance Fall-Spring Semesters
The recital attendance requirement is an integral and essential part of a music student’s education. Through the continued attendance of the Division of Music events, students will gain exposure to musical literature, demonstrate support for their peers and faculty, and accrue vital understanding of performance etiquette and procedure. The number of recitals required will be determined by the Division of Music faculty at the beginning of each semester. Each music major shall register for this 0 credit course for multiple semesters as designated by their degree program.
0 credit hours
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MUS 003 Recital Attendance Fall-Spring Semesters
The recital attendance requirement is an integral and essential part of a music student’s education. Through the continued attendance of the Division of Music events, students will gain exposure to musical literature, demonstrate support for their peers and faculty, and accrue vital understanding of performance etiquette and procedure. The number of recitals required will be determined by the Division of Music faculty at the beginning of each semester. Each music major shall register for this 0 credit course for multiple semesters as designated by their degree program.
0 credit hours
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MUS 004 Recital Attendance Fall-Spring Semesters
The recital attendance requirement is an integral and essential part of a music student’s education. Through the continued attendance of the Division of Music events, students will gain exposure to musical literature, demonstrate support for their peers and faculty, and accrue vital understanding of performance etiquette and procedure. The number of recitals required will be determined by the Division of Music faculty at the beginning of each semester. Each music major shall register for this 0 credit course for multiple semesters as designated by their degree program.
0 credit hours
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MUS 005 Recital Attendance Fall-Spring Semesters
The recital attendance requirement is an integral and essential part of a music student’s education. Through the continued attendance of the Division of Music events, students will gain exposure to musical literature, demonstrate support for their peers and faculty, and accrue vital understanding of performance etiquette and procedure. The number of recitals required will be determined by the Division of Music faculty at the beginning of each semester. Each music major shall register for this 0 credit course for multiple semesters as designated by their degree program.
0 credit hours
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MUS 006 Recital Attendance Fall-Spring Semesters
The recital attendance requirement is an integral and essential part of a music student’s education. Through the continued attendance of the Division of Music events, students will gain exposure to musical literature, demonstrate support for their peers and faculty, and accrue vital understanding of performance etiquette and procedure. The number of recitals required will be determined by the Division of Music faculty at the beginning of each semester. Each music major shall register for this 0 credit course for multiple semesters as designated by their degree program.
0 credit hours
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MUS 007 Recital Attendance Fall-Spring Semesters
The recital attendance requirement is an integral and essential part of a music student’s education. Through the continued attendance of the Division of Music events, students will gain exposure to musical literature, demonstrate support for their peers and faculty, and accrue vital understanding of performance etiquette and procedure. The number of recitals required will be determined by the Division of Music faculty at the beginning of each semester. Each music major shall register for this 0 credit course for multiple semesters as designated by their degree program.
0 credit hours
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MUS 008 Recital Attendance Fall-Spring Semesters
The recital attendance requirement is an integral and essential part of a music student’s education. Through the continued attendance of the Division of Music events, students will gain exposure to musical literature, demonstrate support for their peers and faculty, and accrue vital understanding of performance etiquette and procedure. The number of recitals required will be determined by the Division of Music faculty at the beginning of each semester. Each music major shall register for this 0 credit course for multiple semesters as designated by their degree program.
0 credit hours
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MUS 101 Voice
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 102 Voice
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 103 Piano
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 104 Piano
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 105 Organ
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 106 Organ
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 107 Harpsichord
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 108 Violin
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 109 Violin
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 110 Viola
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 111 Viola
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 112 Cello
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 113 Cello
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 114 Double Bass
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 115 Double Bass
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 116 Trumpet
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 117 Trumpet
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 118 French Horn
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 119 French Horn
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 120 Trombone
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 121 Trombone
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 122 Baritone
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 123 Baritone
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 124 Tuba
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 125 Tuba
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 126 Flute
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 127 Flute
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 128 Clarinet
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 129 Clarinet
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 130 Saxophone
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 131 Saxophone
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 132 Oboe
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 133 Oboe
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 134 Bassoon
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 135 Bassoon
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 136 Percussion
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 137 Percussion
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 138 Guitar
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 139 Guitar
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 142 Improvisation
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 143 Improvisation
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 201 Voice
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 202 Voice
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 203 Piano
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 204 Piano
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 205 Organ
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 206 Organ
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 207 Harpsichord
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 208 Violin
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 209 Violin
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 210 Viola
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 211 Viola
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 212 Cello
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 213 Cello
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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MUS 214 Double Bass
This course provides private individually-scheduled lessons and features hands-on learning of applied music skills.
.5-1 credit hour
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