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Marketing and Strategy |
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MSLE 4534 - Survey Research
2 credits
The purpose of this course is to prepare students to design, conduct, and evaluate primary research, with a specific focus on marketing surveys.
Prerequisite/Restriction:
- MSLE 3500 with a grade of B (3.00) or better
- One of the following statistics courses:
- Completion of at least 40 credits
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MSLE 4535 - Promotional Strategy
2 credits
This course introduces students to marketing campaigns by exploring communication strategies necessary for the successful marketing of products and services. The course focuses on various elements of campaign strategy, including advertising, promotions, point-of-purchase communications, direct techniques, and other topics.
Prerequisite/Restriction:
- MSLE 3500 with a grade of B (3.00) or better
- Completion of at least 40 credits
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MSLE 4536 - Internet Marketing Analytics
2 credits
This course provides an introduction to best approaches and practices in internet marketing analytics and analysis. An emphasis is placed on real-world experience to develop an understanding of how these tools can be integrated to inform and evaluate digital strategies.
This listing includes updates which are effective beginning Spring 2022
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MSLE 4540 - Content Marketing
2 credits
This course explores how social networking tools have dramatically altered the ways we live, work, learn, shop, share and consume content, and develop relationships. The course emphasizes promotional tools used by marketers in order to gain brand awareness, loyalty, and market share.
Prerequisite/Restriction:
- MSLE 3500 with a grade of B (3.00) or better
- Completion of at least 40 credits
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MSLE 4545 - Digital Marketing
2 credits
This course integrates the technological and managerial aspects of information technology with the business environment. It examines the fit of technology into business and how its deployment changes interactions and processes within organizations, across organizations, within industries, and across society.
Prerequisite/Restriction:
- MSLE 3500 with a grade of B (3.00) or better
- Completion of at least 40 credits
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MSLE 4550 - New Product Ideation and Brand Growth
2 credits
This course examines the role of promotion concepts in developing communication strategies. Introducing the nature of communications, this course covers advertising, personal selling, and sales promotion, emphasizing the competitive and strategic value of communications in both the marketplace and society.
Prerequisite/Restriction:
- Admission to a USU major
- Cumulative GPA of 2.75 or better
- Completion of at least 40 credits
- MSLE 3500 with a B- or better
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MSLE 4555 - B2B Marketing, Pricing and Merchandising
2 credits
This course emphasizes strategic, conceptual, and tactical aspects of business to business (B2B) marketing and retailing.
Prerequisite/Restriction:
- MSLE 3500 with a grade of B (3.00) or better
- One of the following statistics courses:
- Completion of at least 40 credits
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MSLE 4560 - Strategic Sales
2 credits
This course focuses on the development and management of strategic accounts. Emphasis is placed on understanding and practicing all phases of the key account process, including prospecting, contacting, qualifying, proposal presentation, and closing.
Prerequisite/Restriction: MSLE 3500 with a grade of B (3.00) or better
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MSLE 4565 - Sales Management
2 credits
This course combines insights from theory and practice to generate a holistic understanding of the field of sales management. Students learn how the sales function works with other functional areas to achieve business objectives and how to improve sales function effectiveness.
Prerequisite/Restriction:
- MSLE 3500 with a grade of B (3.00) or better
- Completion of at least 40 credits
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MSLE 4570 - Consumer Choice Modeling
2 credits
Students examine both conscious and nonconscious consumer motivations, emotions and decision drivers to explore and define attributes of consumer choice and its relationship to consumer marketing. Students develop marketing tools, models, and strategies to improve the marketing performance of an enterprise.
Prerequisite/Restriction:
- MSLE 3500 with a grade of B (3.00) or better
- One of the following courses:
- Completion of at least 40 credits
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MSLE 4575 - Customer Success Strategy
2 credits
Students gain a thorough understanding of what to do with customers once they have them, especially within recurring revenue technology businesses. The course provides practical resources for driving the Growth Loop within the Winning By Design Bow Tie Method.
Prerequisite/Restriction: MSLE 4560
This listing includes updates which are effective beginning Summer 2021.
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MSLE 4590 - Marketing Strategy
3 credits
This course encompasses an analytical approach to strategic marketing problems facing the firm competing in global markets. It emphasizes key analytical and decision-making frameworks concerning the global marketing environment and the marketing mix and their impact on the firm’s performance.
Prerequisite/Restriction:
- MSLE 3500 with a grade of B (3.00) or better
- Completion of at least 40 credits
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MSLE 4800 - Independent Research and Readings
1-3 credits
This course provides the opportunity for students to pursue special interests under tutorship of faculty.
Prerequisite/Restriction: Instructor permission
Repeatable for credit.
This listing includes updates which are effective beginning Summer 2021.
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MSLE 4890 - Strategic Planning and Execution (CI)
CI Communications Intensive
3 credits
This is an integrative capstone course dealing with challenges and strategies associated with international business. Students develop global business judgment and perspective through addressing problems related to global market entry and growth, finance, operations, strategic alliances, social responsibility, and business-government relationships.
Prerequisite/Restriction:
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MSLE 4895 - Consulting Skills
3 credits
This Consulting Skills course prepares students to be consultants. Students learn how to consult with clients using their technical and non-technical disciplines with various enterprises. They learn systematic processes to solve technical and organizational problems and manage client relations.
Prerequisite/Restriction:
This listing includes updates which are effective beginning Summer 2021.
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MSLE 4950 - Senior Honors Thesis/Project
3 credits
This course consists of a creative project that is written up and presented as a Senior Thesis, as required for an Honors Plan.
Prerequisite/Restriction: Completion of at least 40 credits
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MSLE 6000 - Business Fundamentals
1-3 credits
This course provides an understanding of essential, fundamental business principles. Students review core concepts, theory, and models of operations management, economics, business statistics, spreadsheet design and analysis, and business law. This course is required by all MBA students.
Prerequisite/Restriction: ACCT 2010 , FIN 3400 , MSLE 3500 or business undergraduate degree or director approval
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MSLE 6200 - Executive Influence
1-3 credits
Students learn negotiation skills, develop negotiation strategy, and learn to manage of integrative and distributive aspects of the negotiation process. The course is based on simulated negotiations in various contexts including dyadic, contracts, buyer-seller transactions, dispute resolution, cross-cultural and third-party.
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MSLE 6250 - Graduate Internship
1-6 credits
This is a graduate-level internship in a career-related position for graduate students wishing to develop or expand their occupational experience. It can be taken for a maximum of 6 credits.
Prerequisite/Restriction: Instructor permission
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MSLE 6310 - Career and Professional Development
1-3 credits
Explores theory and literature of careers, including orientation, as well as early-, mid-, and late-career issues. Students evaluate interests and capabilities, implement a personal development plan, get feedback on career development, and receive an objective outsider assessment of career readiness.
Repeatable for credit.
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MSLE 6410 - Enterprise and Value Creation
3 credits
This course focuses on the development of new ventures, including entrepreneurial competencies, venture teams, recognizing business opportunities, gathering resources, new venture finance, entry strategies, legal structure, licensing and regulatory requirements, patents, copyrights, and product liability.
This listing includes updates which are effective beginning Summer 2021.
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MSLE 6430 - Enterprise Growth and Management
2-3 credits
Analyzes the growth phase of business development. Topics include organizational competencies and systems, growth strategies, growth finance and staging, cash-flow, franchising, estate and family business issues, harvest strategies including buyouts and public offerings, and employment law for small employers.
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MSLE 6470 - Project Planning and Execution
3 credits
Teaches concepts of project management, while intensively involving students in entrepreneurship-related projects such as initiating a start-up or consulting with management of an emerging business. Requires integrative organizational and industry research and a professional report.
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MSLE 6520 - Enterprise Branding and Marketing
3 credits
This course encompasses an advanced case approach to current marketing management problems. It emphasizes concepts, research, techniques, decision making, and marketing strategy development.
This listing includes updates which are effective beginning Summer 2021.
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MSLE 6640 - Selected Topics in Business Administration
.5-3 credits
This course consists of selected topics in management and/or human resources are pursued in depth. Topics and instructor may vary.
Repeatable for credit.
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MSLE 6641 - Special Topics in Marketing
.5-3 credit
This course consists of selected topics in marketing. Topics and instructor may vary.
Repeatable
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MSLE 6642 - Special Topics in Strategy
.5-3 credit
This course consists of selected topics in strategy pursued in depth. Topics and instructor may vary.
Repeatable
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MSLE 6643 - Special Topics in Leadership
.5-3 credit
This course consists of selected topics in leadership that are pursued in depth. Topics and instructor may vary.
Repeatable
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MSLE 6644 - Special Topics in Entrepreneurship
.5-3 credit
This course consists of selected topics in entrepreneurship that are pursued in depth. Topics and instructor may vary.
Repeatable
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MSLE 6645 - Innovative and Inclusive Leadership
3 credits
This course focuses on building innovative leaders who can effectively navigate complex environments, manage constant change, and engage tomorrow’s dynamic workforce. Through research-based tools, concepts and frameworks, students learn how leaders effectively utilize strategies for leveraging innovation, diversity, equity and inclusion.
Prerequisite/Restriction: Admission to the USU MBA program
This listing includes updates which are effective beginning Spring 2021.
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MSLE 6650 - Strategic Sales Management
3 credits
Students learn to build a sales foundation around plays, process and system; to create new value through sales architecture and sales coaching; and to lead innovation with sales blueprinting and technology tools.
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MSLE 6741 - Leadership Development
3 credits
This course bridges the practice of leadership with the moral philosophy of leadership. Students learn the long history of leadership theory and the latest research, but they also experience both a hypothetical (case-based) application and real-world application of those ideas.
Prerequisite/Restriction: Admission to MBA program
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MSLE 6870 - Global Strategic Thinking
.5-3 credits
This course exposes students to international dimensions of business including cultural, economic, political, and legal environments which influence business strategy, enhancing their agility in responding to dynamic conditions. The course includes an international study abroad seminar during Spring semester.
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MSLE 6890 - Advanced Strategy
2-3 credits
Taking a CEO’s perspective, this course addresses global competitiveness, strategic assessment, policy development, and strategy execution.
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MSLE 6891 - System Thinking and Advanced Tactics
2 credits
This experiential exercise allows students to combine knowledge from MBA courses with company experience in a quasi-consulting arrangement with executives. Using techniques developed in the course, students advise the company on how it should proceed and how to implement recommendations.
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MSLE 6892 - Systems Thinking and Advanced Tactics II
1 credit
This course builds upon the concepts taught in MSLE 6891 and is a deep-dive, strategic management course designed as an experiential exercise for students to use the accumulated knowledge from all MBA courses. Students will be working directly with executives in a comprehensive quasi-consulting arrangement. Along with some additional concepts and techniques developed at the beginning of the course, each student will be required to advise the company on which way it should proceed AND then advise them on how this can be implemented in the organization.
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MSLE 6900 - Independent Research and Reading
1-3 credits
This course provides an opportunity for students to pursue special interests under tutorship of the faculty.
Prerequisite/Restriction: Instructor and department head approval
Repeatable
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MSLE 6970 - Thesis
1-4 credits
This course is designed for students preparing a master’s degree thesis.
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MSLE 6990 - Continuing Graduate Advisement
1-3 credits
This course is designed for students to work very closely with a faculty mentor on research, a consultative internship or a deep dive into a particular topic. Deliverables and outcomes for this course will be determined collaboratively by the faculty member and student.
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Mathematics |
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MATH 0923 - Mathematics Skills Review
0 credit
A review of mathematics skills for MATH 0990 through MATH 1220 for USU students returning from extended absences from USU, or students whose prerequisites for courses up to MATH 2210 are more than one year (three consecutive semesters) old.
Remedial
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MATH 0950 - Pre-algebra
4 credits
Developmental course in arithmetic. Calculations involving whole numbers, decimals, fractions, proportions, ratios, percents and exponents; order of operations; elementary statistics; English and metric measurement systems and conversions; perimeter, area and volumes of geometric figures; and an introduction to the basic concepts of algebra. MATH 0950 is a remedial class not carrying USU or transfer credit. Remedial fee required.
Remedial
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MATH 0995 - College Mathematics Preparation
4 credits
Students review introductory algebra concepts. Topics include manipulating and simplifying expressions and solving and graphing equations and inequalities. Students learn real-world applications, including linear, quadratic, polynomial, rational, exponential, and radical functions.
Math 0995 is a remedial class not carrying USU or transfer credit. A remedial fee is required.
Prerequisite/Restriction:
One of the following within the last year or three consecutive semesters (including summer):
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MATH 1020 - Trade Mathematics
3 credits
Designed to cover the basic skills needed by students who are enrolled in auto mechanics, diesel mechanics, electronics, machine tool technology, and welding. It is not intended to prepare the student for calculus. Topics to be covered include a review of basic arithmetic, precision and accuracy, significant figures, English and metric measurement systems and conversions, ratio and proportion, variation, operations with formulas, solving linear and quadratic equations, systems of equations in two and three variables, fractional equations, perimeter, area and volume of geometric figures, the Pythagorean theorem, basic trigonometry, graphs of linear, quadratic and exponential functions, logarithms, polar coordinates, and the complex number system. Throughout the course, emphasis is placed on solving problems related to the technical fields.
Prerequisite/Restriction: ACT Math score of 17 or higher or equivalent SAT Math score , Grade of C- or better in MATH 0950 , or satisfactory score on the ALEKS Math Placement Exam
Campus: USU Eastern only
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MATH 1030 - Quantitative Reasoning (QL)
QL Quantitative Literacy
3 credits
A general education class intended for non-science students, but open to all students. Topics include logic; problem solving; Numeration Systems; geometry, measurements; probability; statistics; and some algebra. A term paper or research paper will be required.
Prerequisite/Restriction: One of the following within the last year or three consecutive semesters (including summer): ACT Math score of at least 21 or equivalent SAT Math score , Grade of C or better in MATH 0995 or MATH 1010 , or satisfactory score on the Math Placement Exam
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MATH 1050 - College Algebra (QL)
QL Quantitative Literacy
4 credits
Functions: graphs, transformations, combinations, and inverses. Polynomial, rational, exponential, logarithmic functions, and applications. Systems of equations and matrices. Partial fractions. Graphing calculator required.
Prerequisite/Restriction: One of the following within the last year or three consecutive semesters (including summer): ACT Math score of at least 23 or equivalent SAT Math score , AP Calculus AB score of at least 3, grade of C- or better in MATH 0995 , or satisfactory score on the ALEKS Math Placement Exam
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MATH 1051 - Classical Algebra for Teachers (QL)
QL Quantitative Literacy
4 credits
Math 1051 is designed to lead preservice elementary school teachers to develop a deep conceptual understanding of classical algebra necessary to succeed in MATH 2010 , MATH 2020 and MATH 1210 . Topics include naive set theory, the field axioms of classical algebra, functions (including binary operations; sequences and strings; bijections; and polynomial, rational, exponential, and logarithmic functions), set cardinality, and analytical geometry.
Prerequisite/Restriction:
- Declared major in elementary education or special education
- One of the following within the last year or three consecutive semesters (including summer):
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MATH 1060 - Trigonometry
2 credits
Students learn trigonometric functions, equations, identities, and applications. A graphing calculator required.
Prerequisite/Restriction: One of the following within the last year or three consecutive semesters (including summer):
- ACT Math score of at least 23 or equivalent SAT Math score
- AP Calculus AB score of at least 3
- Grade of C- or better in MATH 0995 or MATH 1050
- Satisfactory score on the Math Placement Exam
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MATH 1100 - Calculus Techniques (QL)
QL Quantitative Literacy
3 credits
Techniques of elementary calculus, differentiation, integration, elementary optimization, and introduction to partial derivatives. Applications in business, social science, and natural resources. Graphing calculator required.
Prerequisite/Restriction: One of the following within the last year or three consecutive semesters (including summer): ACT Math score of at least 25 or equivalent SAT Math score , AP Calculus AB score of at least 3, Grade of C- or better in MATH 1050 , or satisfactory score on the ALEKS Math Placement Exam
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MATH 1220 - Calculus II (QL)
QL Quantitative Literacy
4 credits
Integration, infinite series, introduction to vectors, and applications. Graphing calculator required.
Prerequisite/Restriction: C- or better in MATH 1210 , or AP score of at least 4 on Calculus AB exam or at least 3 on Calculus BC exam
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MATH 2010 - Algebraic Thinking & Number Sense for Elementary Education School Teachers (QI)
QI Quantitative Intensive
3 credits
Pre-service elementary school teachers develop a deep conceptual understanding of foundations of algebra and numeration necessary for them to teach elementary school students mathematics in a manner consistent with NCTM’s Principles and Standards of School Mathematics.
Prerequisite/Restriction:
- Students must satisfy one of the following requirements within the last year or three consecutive semesters (including summer):
- Declared major in Elementary Education, Special Education, Pre-Elementary Education, or Pre-Special Education
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MATH 2020 - Euclidean Geometry and Statistics for Elementary Education School Teachers (QI)
QI Quantitative Intensive
3 credits
This course is for pre-service elementary school teachers. Students develop a deep conceptual understanding of Euclidean geometry and statistics necessary for them to teach elementary school students mathematics in a manner consistent with NCTM’s Principles and Standards of School Mathematics.
Prerequisite/Restriction:
- Students must satisfy one of the following requirements within the last year or three consecutive semesters (including summer):
- Declared major in Elementary Education, Special Education, Pre-Elementary Education, or Pre-Special Education
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MATH 2210 - Multivariable Calculus (QI)
QI Quantitative Intensive
3 credits
Vector calculus, multiple integration, partial derivatives, line and surface integrals. The theorems of Green, Gauss, and Stokes.
Prerequisite/Restriction: C- or better in MATH 1220 or AP Calculus score of 5 on BC exam
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MATH 2250 - Linear Algebra and Differential Equations (QI)
QI Quantitative Intensive
4 credits
Students study linear systems, abstract vector spaces, matrices through eigenvalues and eigenvectors, solution of ode’s, Laplace transforms, and first order systems.
Prerequisite/Restriction:
One of the following:
- MATH 1210 with a grade of C- or better
- AP Calculus score of 5 on BC exam and MATH 2210 with a grade of C- or better
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MATH 2260 - Internship and Cooperative Studies
1-6 credits
Lower-division internship/cooperative work experience.
Repeatable for credit.
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MATH 2270 - Linear Algebra (QI)
QI Quantitative Intensive
3 credits
This course teaches solutions of linear systems, matrix operations, matrix factorization, vector spaces, subspaces, linear independence, bases, linear transformations, eigensystems, orthogonality, Gram-Schmidt orthogonalization, and projections.
Prerequisite/Restriction: MATH 1210 with a grade of C- or better or AP Math score of 3-4 on the BC exam
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MATH 2280 - Ordinary Differential Equations (QI)
QI Quantitative Intensive
3 credits
Analytic solution techniques for ordinary differential equations. Initial value and boundary value problems and applications. Higher-order scalar equations, first-order linear systems, and Laplace transforms.
Prerequisite/Restriction: C- or better in MATH 2270
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MATH 2910 - Directed Readings and Conference
1-3 credits
This course consists of directed readings on specific topics.
Prerequisite/Restriction: Instructor permission
Repeatable for credit.
This listing includes updates which are effective beginning Summer 2021.
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MATH 2977 - Cooperative Education
1-3 credits
Provides supervised on-the-job training in mathematics. Students meet with the instructor/coordinator periodically during the course to determine and evaluate learning objectives, hours to be worked, and credit agreement.
Prerequisite/Restriction: Instructor permission
Repeatable for credit
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MATH 3010 - Pedagogical Foundations of Algebra
3 credits
The historical and epistemological foundations of math as traditionally taught in schools are contrasted with the historical and epistemological foundations of authentic mathematics. The differential effects of these approaches on teaching and learning are analyzed, by examining the interplay among classical algebra, analytical geometry, and modern algebra.
Prerequisite/Restriction: One of the following three options:
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MATH 3110 - Modern Geometry
3 credits
Modern axiomatic development of Euclidean geometry with emphases on historical foundations, implications of the parallel postulate and its alternatives, discovery of geometric relationships through inductive and deductive reasoning, deductive proof, and transformational geometry.
Prerequisite/Restriction: C- or better in MATH 1220 ; or MATH 1210 and MATH 2020 .
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MATH 3300 - School Laboratory for Mathematics Teachers Level I
1 credit
Provides preservice mathematics teachers with supervised experiences working with teachers and students in middle and secondary schools. Activities coordinated with other Level I professional education courses.
Prerequisite/Restriction: Admission into Teacher Education
Pass/Fail only.
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MATH 3310 - Discrete Mathematics
3 credits
Students learn logic and axiomatics, sets, functions, counting methods, recurrence relations, graph theory, Boolean algebras, combinatorial circuits, automata, grammars, and languages.
Prerequisite/Restriction: MATH 1210 with a grade of C- or better or AP Math score of 3-4 on the BC exam. This change will allow CS students to take Math courses more relevant to their field than MATH 1220 .
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MATH 4230 - Applied Mathematics in Biology (QI)
QI Quantitative Intensive
3 credits
This course is an introduction to topics wherein mathematical modeling and analysis are crucial for the understanding of some biological processes. Single-credit lecture module topics include Predator-Prey and diseases models, stochastic models, fitting equations, model construction and selection.
Prerequisite/Restriction:
or
Cross-listed as: BIOL 4230
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MATH 4250 - Advanced Internship/Co-op
1-6 credits
An internship/cooperative work experience which has been determined by the department to be at the 4000-level.
Repeatable for credit.
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MATH 4300 - School Laboratory for Mathematics Teachers Level II
1 credit
Provides preservice mathematics teachers with supervised experiences working with teachers and students in middle and secondary schools. Activities coordinated with other Level II professional education courses.
Prerequisite/Restriction: Admission into Teacher Education
Pass/Fail only.
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MATH 4310 - Introduction to Algebraic Structures (CI)
CI Communications Intensive
3 credits
This course introduces the theory of algebraic structures. Topics include elementary group and ring theory.
Prerequisite/Restriction:
The following, with a grade of C- or better:
And one of the following, with a grade of C- or better:
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MATH 4400 - History of Mathematics and Number Theory
3 credits
Chronological parallel of math history with civilization, evolution of mathematical thought, historical foundations of numbers, computation, geometry, algebra, trigonometry, and calculus. Introduction to number theory.
Prerequisite/Restriction: At least one of MATH 4200 and MATH 4310 with a C- or better, and concurrent enrollment in the other; or admission to the mathematics emphasis of an Elementary Education or Special Education major and either MATH 3110 or concurrent enrollment in MATH 3110 .
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MATH 4500 - Methods of Secondary School Mathematics Teaching
3 credits
A teaching methods course required of all prospective secondary school mathematics teachers. To receive graduate credit for the dual-listed MATH 6500 course, students must complete an extra project. Students having a Methods of Secondary Math Teaching Methods course on their transcripts will not be allowed to apply MATH 6500 credit toward a master’s degree.
Prerequisite/Restriction:
Cross-listed as: MATH 6500 .
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MATH 4610 - Fundamentals of Numerical Analysis
3 credits
This course presents fundamental topics and algorithms that are common to many areas of computational mathematics. Topics include: truncation and round-off error, basic numerical linear algebra (including Gaussian elimination and calculation of eigenvalues), root-finding methods, interpolation methods, and numerical differentiation/integration.
Prerequisite/Restriction:
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MATH 4700 - Engineering Mathematics and Statistics
3 credits
Advanced engineering mathematics and statistics including: random variables; distributions; central limit theory; hypothesis testing; Anova; quality control; Fourier series; introductory analytic and numerical methods for elliptic, parabolic, and hyperbolic PDEs; and modern software packages.
Prerequisite/Restriction: C- or better in MATH 2210 ; C- or better in MATH 2250 or MATH 2280
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MATH 4910 - Directed Reading and Conference
1-3 credits
This course consists of directed readings on specific topics.
Prerequisite/Restriction: Instructor permission
Repeatable for credit.
This listing includes updates which are effective beginning Summer 2021.
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MATH 5010 - Technology for Teaching Mathematics
3 credits
Students will learn to use technology for teaching and learning mathematics and they will deepen their understanding of topics in geometry and functions through technology-enhanced investigation.
Prerequisite/Restriction: C- or better in MATH 3110
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MATH 5020 - Mathematical Cognition and Assessment of Mathematical Achievement
3 credits
Pre-service and inservice mathematics teachers (1) examine cognitive principles relevant to learning mathematics, (2) apply research-based principles for designing, validating, and interpreting measures of mathematical achievement, and (3) interpret the results of standardized and high-stakes tests, and communicate those results to mathematics students and their parents.
Prerequisite/Restriction: Completion of an upper-level mathematics or statistics course (3000-level or higher)
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MATH 5210 - Introduction to Analysis I
3 credits
One and several variable calculus from an advanced point of view. Proofs of all main theorems in calculus.
Prerequisite/Restriction: C- or better in MATH 4200 or MATH 5510
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MATH 5220 - Introduction to Analysis II
3 credits
Continuation of MATH 5210 . Rigorous development of multivariable advanced calculus.
Prerequisite/Restriction: C- or better in MATH 5210
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MATH 5270 - Complex Variables
3 credits
Basic theory and applications of complex variables for mathematics, physics, and engineering students. Topics include analytic functions, contour integration, and residue theorem conformal mappings.
Prerequisite/Restriction: C- or better in MATH 2210 and MATH 2250 ; or C- or better in MATH 2210 , MATH 2270 , and MATH 2280
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MATH 5310 - Introduction to Modern Algebra
3 credits
Continuation of MATH 4310 . Topics include: Sylow theory for finite groups, factorization theory for commutative rings, and Galois theory.
Prerequisite/Restriction: C- or better in MATH 4310
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MATH 5340 - Theory of Linear Algebra
3 credits
Vector space theory, linear transformations and matrices, eigenvalues and eigenvectors, inner product spaces, orthogonality, canonical forms, and Hermitian matrices.
Prerequisite/Restriction: C- or better in MATH 2270 , C- or better in MATH 4310 , or instructor permission
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MATH 5410 - Methods of Applied Mathematics
3 credits
This course introduces traditional approaches in applied mathematics, including dimensional analysis, the Buckingham Pi Theorem, perturbation methods and successive approximation to solutions of differential equations, singular perturbations and boundary layer problems, variational methods and the Euler-Lagrange equation, and Hamiltonian systems.
Prerequisite/Restriction:
- 2210 with a C- or better
- 2250 or 2270 and 2280 with a C- or better
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MATH 5420 - Partial Differential Equations
3 credits
This course emphasizes the understanding and solution of physically relevant partial differential equations. Topics include derivation and analysis of the transport; diffusion, wave, and Laplace equations; the method of characteristics; eigenfunctions/Fourier series; transform methods; and fundamental solutions.
Prerequisite/Restriction: MATH 2250 or MATH 2280 with a C- or better
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MATH 5460 - Nonlinear Dynamics
3 credits
This course introduces elementary concepts in dynamical systems, including canonical, continuous, and discrete models, equilibria, stability, and bifurcation of solutions of differential equations.
Prerequisite/Restriction: MATH 2250 or MATH 2280 with a C- or better
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MATH 5470 - Advanced Differential Equations
3 credits
This course covers important topics on ordinary differential equations. Topics include the solution of linear systems of equations, series solutions and the method of Froebenius, and boundary value problems.
Prerequisite/Restriction:
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MATH 5510 - Introduction to Topology
3 credits
Elementary point-set topology, topological spaces, separation axioms, metric spaces, compactness, connectedness, order topology, countability axioms, continuity, and homeomorphisms.
Prerequisite/Restriction: C- or better in MATH 4200
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MATH 5560 - Actuarial Financial Mathematics
3 credits
Introduces fundamental concepts of financial mathematics, focusing on applications to non-life insurance. Topics include interest theory, cash flows and yield rates, annuities, portfolio insurance, and derivatives. Also includes discussion of probability models for underlying assets.
Prerequisite/Restriction:
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MATH 5570 - Actuarial Math I
3 credits
Introduction to theory of risk and its application to construction and analysis of models for insurance systems.
Prerequisite/Restriction:
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MATH 5580 - Actuarial Math II (CI)
CI Communications Intensive
3 credits
Continuation of MATH 5570 .
Prerequisite/Restriction: C- or better in MATH 5570
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MATH 5610 - Computational Linear Algebra
2 credits
Students learn numerical solutions of systems of linear and nonlinear equations, methods for eigensystems, least squares problems, finding roots of functions and nonlinear systems, and constrained and unconstrained optimization.
Prerequisite/Restriction: MATH 4610 or equivalent
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MATH 5620 - Numerical Algorithms for Approximate Solutions of DE
2 credits
Students solve initial value problems (IVP) and boundary value problems (BVP) in one dimension using standard methods. Topics include implicit and explicit methods, local and global error, stability, consistency and convergence, predictor-corrector methods and Runge-Kutta schemes, multi-step methods, and finite-difference methods for BVP.
Prerequisite/Restriction:
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MATH 5720 - Introduction to Mathematical Statistics
3 credits
Basic theory of point and interval estimation and hypothesis testing. Topics include: sufficiency and completeness; method-of-moments, best unbiased, maximum likelihood, Bayes’, and empirical Bayes’ estimators; Neyman-Pearson lemma; and likelihood ratio tests.
Prerequisite/Restriction: C- or better in MATH 5710
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MATH 5760 - Applied Stochastic Processes
2 credits
This course introduces students to the basics of stochastic processes without using the machinery of measure theory. Topics include discrete and continuous time Markov processes and an introduction to stochastic differential equations.
Prerequisite/Restriction: MATH 5710 with a C- or better
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MATH 5810 - Topics in Mathematics
1-3 credits
This course explores a particular topic in greater depth and with narrower focus than a conventional course.
Prerequisite/Restriction: Instructor permission
Repeatable for credit.
This listing includes updates which are effective beginning Summer 2021.
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MATH 5820 - Topics in Mathematics
1-3 credits
This course explores a particular topic in greater depth and with narrower focus than a conventional course.
Prerequisite/Restriction: Instructor permission
Repeatable for credit.
This listing includes updates which are effective beginning Summer 2021.
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MATH 5910 - Directed Readings and Conference
1-3 credits
This course consists of directed readings on specific topics.
Prerequisite/Restriction: Prior arrangement with a specific instructor
Repeatable for credit.
This listing includes updates which are effective beginning Summer 2021.
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