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  • 4.00 Credits

    This course introduces the essentials of scientific computer programming using appropriate high-level languages to solve problems in engineering and science. Programming topics include problem decomposition, control structures, recursion, arrays and other data structures, file I/O, graphics, code libraries, round-off error in floating point arithmetic. Applications will be drawn from numerical integration and differentiation, root finding, matrix operations, searching and sorting, simulation, and data analysis. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Demonstrate proficiency in basic skills related to using MATLAB/Python in scientific computation setting. 2. Apply programming skills to solving challenging problems that are either purely mathematical or arise from other disciplines. Prerequisites: CS 1400 (Grade C or higher) and MATH 2270 (Grade C or higher). Corequisites: MATH 2280. SP
  • 3.00 Credits

    This course introduces topics of linear algebra needed for advanced applications. Topics included are abstract vector spaces, linear transformations, dual spaces, inner product spaces, orthogonality, bilinear forms, eigenvalues and eigenvectors, generalized eigenvectors, diagonalization, and canonical forms. **COURSE LEARNING OUTCOMES (CLOs) At the successful completion of this course, students will be able to: 1. Demonstrate a thorough understanding of the core concepts and solution techniques of linear algebra. 2. Employ linear algebra in various application areas. 3. Utilize technology and computer algebra systems to aid problem solving. 4. Produce and present work in the form of a course project. Prerequisites: MATH 2270 and MATH 3120 (Both grade C or higher). SP (even)
  • 3.00 Credits

    This course focuses on the theoretical basis and mathematical analysis of financial mathematics. This course prepares actuarial students for exam FM in the Society of Actuaries' series (or Exam 2 for the Casualty Actuarial Society). **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Demonstrate the ability to define and recognize terms regarding time value of money. 2. Solve problem related to time value of money. 3. Define and recognize terms regarding annuity. 4. Solve problem related to loans and bonds. 5. Define and recognize terms regarding immunization. 6. Construct various investment portfolio. 7. Take the Actuarial Financial Mathematics Exam (SOA Exam FM/CAS Exam 2). Prerequisites: MATH 1100 (Grade C or higher) or MATH 1210 (Grade C or higher). SP
  • 1.00 Credits

    Recommend for students to take this class the same semester as MATH 4000. Prepare for Exam FM/2 by working on sample exam questions. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Demonstrate through testing the ability to take the Actuarial Financial Mathematics Exam (SOA Exam FM/CAS Exam 2) Prerequisites: MATH 4400 (Grade C or higher, can be concurrently enrolled). SP
  • 3.00 Credits

    Required for all Special Education majors. Teacher candidates will learn content appropriate for secondary students, effective practices, and strategies to support secondary students with disabilities as they learn about mathematics. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Identify, plan, and implement learning progressions in mathematics. 2. Identify and implement interventions using a tiered approach. 3. Describe and appropriately plan for social emotional factors related to math learning. 4. Describe and identify effective practices for co-teaching mathematics in the secondary classroom. 5. Demonstrate effective teaching practices in mathematics at the secondary level. Prerequisites: Admission to the Utah Tech University Special Education Program. FA, SP
  • 3.00 Credits

    A teaching methods course designed for Math Education majors who aspire to teach mathematics at the secondary school level. It offers practical strategies and methods for effective mathematics instruction in a high school setting. Students will learn how to plan and deliver lessons, develop curriculum, and create assessments. The focus will be on creating an inclusive and equitable learning environment that encourages student engagement with math and helps students build a positive mathematical identity. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Plan and deliver effective, learner-centered math instruction by considering each students needs and strengths, and developing appropriate tasks. 2. Interpret and implement math curricula and standards in the creation of formative and summative assessments that consider students needs, strengths, and course content. 3. Foster student engagement and the promotion of their mathematical identities by valuing each students unique mathematical, cultural, and linguistic contributions. 4. Create a learning environment that encourages diverse mathematical thinking and leverages students funds of knowledge to guide instruction and cultivate confidence. 5. Construct learning opportunities and use planning and implementation practices that provide equitable access, support, and challenges for every student. Prerequisite:??MATH 1210 (Grade C or higher). FA
  • 3.00 Credits

    Advanced numerical linear algebra, optimization, nonlinear systems, topics from approximation theory, quadrature, numerical solutions of differential equations. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Demonstrate an understanding of the concepts of efficiency and stability of algorithms in numerical linear algebra. 2. Understand the importance of matrix factorizations, and know how to construct some key factorizations using elementary transformations. 3. Solve linear systems, least squares problems, and the eigenvalue problems. 4. Appreciate the issues involved in the choice of algorithm for particular problems (sparsity, structure, etc.). 5. Appreciate the basic concepts involved in the efficient implementation of algorithms in a high-level language. Prerequisites: MATH 3500 (Grade C or higher). SP (odd)
  • 3.00 Credits

    Students will work in teams on a project from an industrial firm. This course is designed to expose students to the types of problems solved by mathematicians working in business, government, or industry. Students will be given a real-life problem and asked to work on a solution over the course of the semester. Student success will depend on realistic industry evaluations such as teamwork, communication, individual initiative, and final products. Advanced Standing (Math 4800 is a course for students with strong mathematical preparation.) **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Experience how Math is done in the real world. 2. Develop, test, and implement a mathematical model of their own devising. 3. Assess and revise their own results in order to arrive at a solution that meets the practical constraints of the client. 4. Collaborate in small teams working toward a common goal. 5. Improve their communication skills by presenting and clarifying technical results. 6. Become acquainted with non-academic stakeholders in business, industry, and government. 7. Prepare for a potential career in Industrial Mathematics and increase awareness about the growing pool of non-academic careers. Prerequisites: Instructor permission required. SP
  • 1.00 - 3.00 Credits

    Designed to meet the individual needs of advanced students in the Math Department who wish to perform an independent research to answer a specific mathematical question. This course is offered by arrangement with an individual faculty, based on preparation and interest, and allows close interaction between the student and faculty member to address specific mathematical problems. Projects are at the discretion of the faculty member, in line with the student's interests in the various mathematics subject areas. The student and faculty will set expectations and grading policies at the beginning of the term. Students are expected to meet with the faculty mentor each week and to provide the faculty mentor with progress reports and assignment development for feedback. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Complete an independent research project under faculty supervision. Prerequisite: Instructor permission required. FA, SP, SU
  • 3.00 Credits

    Independent Study. In order to pass this course students must score a 25 or better on the Majors Fields test. Required of all Mathematics majors in the senior year. Emphasizes the ability to analyze and communicate mathematically through projects to include researching topics, summarizing journal articles, using a technical documentation system such as LaTeX or Equation Editor, and making oral class presentations. Preparation for and completion of standardized exit exam is required. This course is designated as an Active Learning Undergraduate Research (ALUR) course. Students will conduct an inquiry or investigation that makes an original intellectual or creative contribution to the discipline. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Identify research topics and problems of interest to them. 2. Read, interpret, analyze, and possibly expand upon ideas contained in modern mathematical research papers. 3. Write, in the mathematical language, research articles and papers that meet the current stylistic standards for publication within reputable scientific journals. 4. Utilize the TeX/LaTeX typesetting environment and the associated Beamer document class to produce technical and mathematical papers, together with accompanying slideshows that meet the current formatting standards for circulation, dissemination, and presentation within the scientific community. 5. Give well-organized, precise, and compelling oral presentations of their findings. Course fee required. Prerequisite: Senior standing, Mathematics major, and instructor permission required. FA, SP