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  • MATH 1220: Calculus II (MA)

    4.00 Credits
    Utah Tech University

    Fulfills General Education Mathematics requirement. Continuation of MATH 1210, covering applications of integration, differential equations, infinite sequences and series. Required for Utah Level 3 and 4 Math Endorsements, and for students majoring in Mathematics, Chemistry, Computer Science and Physical Science Composite Teaching. Successful completion fulfills prerequisite for MATH 2210, and Mathematics prerequisite for ENGR 2250, ENGR 2300, and PHYS 2220. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Develop a basic understanding of advanced integration techniques, including approximate integration. 2. Use integrals to formulate and solve application problems in science, engineering, biology, and economics. 3. Using the techniques of differential equations to predict population growth and decay. 4. Demonstrate knowledge of sequences and series including tests for convergence and methods of approximation of sums. 5. Explore methods of determining convergence and evaluation limits of sequences and series. Course fee required. Prerequisite: MATH 1210 (Grade C or higher). FA, SP
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  • MATH 2010: Math for Elementary Teachers I

    3.00 Credits
    Utah Tech University

    The first course in a 2-semester sequence of mathematics appropriate to the needs of elementary and middle school teachers. Includes problem solving, sets, numeration systems, whole numbers, algorithms of arithmetic, number theory, rational numbers and decimal numbers. Required for Utah Elementary Education (Level 1) and Level 2 Math Endorsements. Inclusive Access Course Material (electronic book) fees may apply, see Fees tab under each course section for details. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Demonstrate competent problem solving skills. 2. Demonstrate knowledge of spatial and visual mathematical thinking. 3. Effectively communicate orally and in written form mathematical concepts and mathematical reasoning. 4. Demonstrate a knowledge of mathematics thinking required to fully understand k-6 curriculum. 5. Demonstrate a knowledge of, and ability to, connect elem. mathematics concepts to physical objects. Course fee required. Prerequisites: MATH 1030 (Grade C or higher) or MATH 1050 (Grade C or higher), MATH 1030 preferred. FA, SP
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  • MATH 2020: Math for Elemen Teachers II

    3.00 Credits
    Utah Tech University

    The second course in a 2-semester sequence of mathematics appropriate to the needs of elementary and middle school teachers. Continuation of Math 2010. Includes real numbers, statistics, probability, geometry, measurement, and algebra. Required for Utah Elementary Education (Level 1) and Level 2 Math Endorsements. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Demonstrate various viewpoints of mathematical thinking. 2. Demonstrate competent problem solving skills. 3. Show examples of spatial and visual mathematical thinking. 4. Effectively communicate orally and in written form mathematical concepts and mathematical reasoning. 5. Demonstrate a knowledge of mathematics thinking required to fully understand k-6 curriculum. Prerequisite: MATH 2010 (Grade C or higher). FA, SP
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  • MATH 2050: Applied Statistics with Programming

    3.00 Credits
    Utah Tech University

    This course provides an introduction to statistical programming from describing raw data (descriptive statistics) to making statistical conclusions (inferential statistics) based on real data from practical problems. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Interpret, summarize and graph practical data set using statistical programming. 2. Conduct appropriate statistical analysis of practical data set using statistical programming. 3. Interpret and understand the results of statistical analyses from statistical program. 4. Develop conclusions and decisions based on the statistical analysis results. Prerequisites: MATH 1040 (Grade C or higher) or a higher MATH course (Grade C or higher) or STAT 2040 (Grade C or higher). FA
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  • MATH 2200: Discrete Mathematics

    3.00 Credits
    Utah Tech University

    Introduction to proofs and writing Mathematics. Covers Logic (including Boolean), Sets, Functions, Equivalence Relations, Modular Arithmetic, and Graph Theory. Also covers prepositional calculus, combinatorics, and Counting Methods. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Develop and write basic logical arguments including proofs by induction, construction, and contradiction. 2. Read logical arguments critically. 3. Recognize the principles of logic and set theory as those forming the foundations of such fields as computer science, mathematics, and philosophy. 4. Apply the principles of logic and set theory to solve foundational problems in these fields. 5. Enumerate discrete structures of a given kind and size via the use of combinations, permutations, and other combinatorial constructs. 6. Utilize the TeX/LaTeX typesetting environment to produce technical and mathematical papers that meet the current formatting standard for circulation and dissemination within the scientific community. Course fee required. Prerequisite: MATH 1210 (Grade C or higher). SP
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  • MATH 2210: Multivariable Calculus (MA)

    4.00 Credits
    Utah Tech University

    Fulfills General Education Mathematics requirement. Continuation of MATH 1220. Includes vectors and the geometry of space, vector functions, partial derivatives, multiple integrals, and vector calculus. Required for Utah Level 3 and Level 4 Endorsement. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Use plane and space vectors to solve applications in geometry and physics. 2. Use space curves to analyze the motion of an object. 3. Use contour diagrams to analyze the behavior of a function of several variables. 4. Use partial derivatives to solve optimization problems. 5. Set up and compute double and triple integrals in order of integration using rectangular coordinates. 6. Set up and compute double and triple integrals using polar, cylindrical, and spherical coordinates. 7. Use line integrals to compute the work done by a vector field along a curve. 8. Use surface integrals to compute the flux of a vector field through a surface. 9. Use multiple integrals to calculate some line and surface integrals. Course fee required. Prerequisite: MATH 1220 (Grade C or higher). FA, SP
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  • MATH 2250: Differential Equations and Linear Algebra

    4.00 Credits
    Utah Tech University

    Linear systems, abstract vector spaces, matrices through eigenvalues and eigenvectors, solution of ode's Laplace transform, first order systems. For Engineer majors. Covers the following methods of solving ordinary differential equations (along with applications of such): separation of variables, homogenous and non-homogeneous, exact, first-order and higher, integrating factors, substitution methods, linear and non-linear, complex characteristics, variation of parameters, undetermined coefficients (superposition and annihilator approach), and Euler-Cauchy. Will introduce power series solutions, and the Laplace transform. Covers matrix and vector analysis, linear dependence and independence, matrix algebra, diagonalization, eigenvalues and eigenvectors, linear transformations (kernel and range), and vector spaces and subspaces (including null, column, and bases). **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Solve ordinary differential equations via the use of the following solution types: exact, implicit, series, and discrete application. 2. Solve systems of linear ordinary differential equations via the use of differential operators, Laplace transformations, and matrix methods. 3. Utilize ordinary differential equations as well as systems thereof to obtain solutions to related application problems. Course fee required. Prerequisites: Math 1220 (Grade C or higher). SP
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  • MATH 2270: Linear Algebra

    3.00 Credits
    Utah Tech University

    For Mathematics and pre-Engineering majors. Covers matrix and vector analysis and systems of equations with applications, linear dependence and independence, matrix algebra and invertibility, determinants and their applications, Cramer's Rule, diagonalization, eigenvalues and eigenvectors, linear transformations (kernel and range), inner product, orthogonality, vector spaces and subspaces, including null and column and bases as well as introducing basic proof theory. Required for Utah Level 3 and 4 Math Endorsements. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Learn basic vocabulary, symbol, definition used in linear algebra. 2. Solve systems of Linear equations using multiple methods. 3. Demonstrate basic understanding of the concept of linear transformation, vector space and subspace, linear independence, span, basis, dimension and rank. 4. Perform matrix algebra, calculating determinants, finding eigenvalues, eigenvectors and solve eigenvalue problems. 5. Apply the concepts of linear models to various applications. Course fee required. Prerequisite: MATH 1210 (Grade C or higher). FA, SP
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  • MATH 2280: Ordinary Differential Equations

    3.00 Credits
    Utah Tech University

    For Mathematics and pre-Engineering majors. Covers methods of solving ordinary differential equations with applications: separation of variables, homogeneous and non-homogeneous, exact, first and higher order, integrating factors, substitution methods, linear and non-linear, complex characteristic roots, variation of parameters, undetermined coefficients (superposition and annihilator approach), and Euler-Cauchy. Systems of equations, power series solutions, and the Laplace transform will be introduced. Required for Utah Level 4 Math Endorsement. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Solve ordinary differential equations via the use of the following solution types: exact, implicit, series, and discrete application. 2. Solve systems of linear ordinary differential equations via the use of differential operators, Laplace transformations, and matrix methods. 3. Utilize ordinary differential equations as well as systems thereof to obtain solutions to related application problems. Course fee required. Prerequisite: MATH 1220 (Grade C or higher). SP
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  • MATH 2285: Adventures in Modeling

    1.00 Credits
    Utah Tech University

    In this course, students will meet once a week to learn a variety of mathematical techniques and their applications to real world problems. The weekly class meetings will begin with a brief introduction to a mathematical concept, with the remainder of the class devoted to working in a team on a given problem. Practice problems will be drawn from those offered in the COMAP Mathematical or Interdisciplinary Contest for Modeling (MCM/ICM). Students will also have the opportunity to compete in teams of their choice in the annual MCM/ICM contest offered mid-February or AMATYC Student Research League offered end of April. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Construct mathematical models based on real-world problems. 2. Identify mathematical techniques appropriate for their models or analysis. 3. Solve interdisciplinary problems working in teams, and write a scientific report describing the mathematical model and results. 4. Demonstrate logical reasoning, and quantitative skills by participating in modeling competitions. Prerequisites: MATH 1210 (Grade C or higher). FA
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