MATH-Mathematics

Math Leap

1:1:0

Fall, Spring, Summer

For students in STEM and related fields who desire to improve problem-solving skills and/or placement level in preparation for STAT 1040 and higher-numbered MATH courses. Addresses unique strengths and weaknesses of students, by providing group problem solving activities along with an individual assessment and study plan for mastering target material. Requires mandatory class attendance and a minimum number of hours per week logged into a preparation module, with progress monitored by a mentor. May be repeated for a maximum of 4 credits toward graduation. May be graded credit/no credit.

College Algebra

4:4:0

Fall, Spring, Summer

Prerequisite(s):

Within the past two years one of the following: MAT 1000 or MAT 1010 with a grade
of C or better or appropriate math placement score.
Includes inequalities, functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, systems of linear and nonlinear equations, matrices and determinants, arithmetic and geometric sequences, and the Binomial Theorem. May be delivered hybrid and/or online. Lab access fee of $30 applies.

College Algebra with Preliminaries

5:5:0

Fall, Spring

Prerequisite(s):

Within the past two years; appropriate placement by math placement test or Mathematics
Department Adviser Approval
Includes expressions, equations, graphing, inequalities, functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, systems of linear and nonlinear equations, matrices and determinants, arithmetic and geometric sequences, and the Binomial Theorem. May be delivered hybrid and/or online.

Trigonometry

3:3:0

Fall, Spring, Summer

Prerequisite(s):

Within the past two years: MATH 1050 or MATH 1055 with a grade of C or higher or
appropriate math placement score.
Includes the unit circle and right triangle definitions of the trigonometric functions, graphing trigonometric functions, trigonometric identities, trigonometric equations, inverse trigonometric functions, the Law of Sines and the Law of Cosines, vectors, complex numbers, polar coordinates, and rotation of axes.

Precalculus

5:5:0

On Sufficient Demand

Prerequisite(s):

(MATH 1050 or MATH 1055) and MATH 1060
Provides a review of algebra and trigonometry for students who have been out of school for some time. Reviews the mathematical concepts taught in MATH 1050 and MATH 1060. Students who choose to apply MATH 1065 toward graduation cannot also count MATH 1050 and MATH 1060.

College Algebra for Business

3:3:0

Fall, Spring, Summer

Prerequisite(s):

Within the past two years one of the following: MAT 1000 or MAT 1010 with a grade
of C or better or appropriate math placement score.
Uses linear, quadratic, power, polynomial, rational, exponential, logarithmic, and logistic functions to analyze business applications such as market equilibrium, rates of change, cost-benefit analysis, and inflation. Includes systems of linear and non-linear equations and inequalities, matrices and matrix equations, sequences and series, and financial mathematics.

Introduction to Calculus

4:4:0

Fall, Spring, Summer

Prerequisite(s):

Within the past two years: MATH 1050 or MATH 1055 with a grade of C or better or
appropriate math placement score.
Provides an overview of the basic concepts and techniques of differential and integral calculus. Features applications in business, economics, and the life, social, and physical sciences. Includes optimization techniques in multivariable differential calculus.

Calculus I

5:5:0

Fall, Spring, Summer

Prerequisite(s):

One of the following within the past two years: (MATH 1050 or MATH 1055) and MATH
1060, each with a grade of C or higher; MATH 1065 with a grade of C or higher; appropriate
placement by math placement test.
Includes limits and continuity, differentiation, applications of differentiation, integration, applications of integration, derivatives of the exponential functions, logarithmic functions, inverse trigonometric functions, and hyperbolic functions, and related integrals. Prerequisite for calculus-based sciences.

Calculus I

5:5:0

Fall, Spring

Prerequisite(s):

One of the following: (MATH 1050 or MATH 1055) and MATH 1060, each with a grade of
C or higher within the past two years; MATH 1065 with a grade of C or higher within
the past two years; appropriate placement by the Accuplacer test (taken within the
past two years)
Includes limits and continuity, differentiation, applications of differentiation, integration, applications of integration, derivatives of the exponential functions, logarithmic functions, inverse trigonometric functions, hyperbolic functions, and related integrals. Prerequisite for calculus-based sciences. An honors course with student projects.

Calculus II

5:5:0

Fall, Spring, Summer

Prerequisite(s):

MATH 1210 with a grade of C or higher
Includes integration techniques, arc length, area of a surface of revolution, moments and centers of mass, sequences and series, parametrization of curves and polar coordinates, vectors in 3-space, and quadric surfaces. Prerequisite for calculus-based sciences.

Calculus II

5:5:0

Fall, Spring

Prerequisite(s):

MATH 1210 with a grade of C or higher
Includes integration techniques, arc length, area of a surface of revolution, moments and centers of mass, sequences and series, parametrization of curves and polar coordinates, vectors in 3-space, and quadric surfaces. Prerequisite for calculus-based sciences. Honors course which requires a student project.

Mathematics for Elementary Teachers I

3:3:0

Fall, Spring, Summer

Prerequisite(s):

Within the past two years: MATH 1050 or MATH 1055 with a grade of C or better or
appropriate math placement score.
Includes problem solving, sets, numeration systems, arithmetic of whole numbers, integers, rational numbers, real numbers, elementary number theory, ratios, proportions, decimals, and percents.

Mathematics for Elementary Teachers II

3:3:0

Fall, Spring, Summer

Prerequisite(s):

MATH 2010 with a grade of C or higher
The second semester of the mathematics course for elementary teachers; includes topics on probability, statistics, geometry and measurement.

Calculus III

3:3:0

Fall, Spring, Summer

Prerequisite(s):

MATH 1220 with a grade of C or higher
Includes partial derivatives, gradient, Lagrange multipliers, multiple integrals, line integrals, Green's Theorem, surface integrals, the Divergence Theorem, and Stokes' Theorem.

Calculus III

3:3:0

Fall, Spring

Prerequisite(s):

MATH 1220 with a grade of C or higher
Includes partial derivatives, gradient vectors, Lagrange multipliers, multiple integrals, line integrals, Green's Theorem, surface integrals, the Divergence Theorem, and Stokes' Theorem. An honors course which includes a student project.

Differential Equations and Linear Algebra

4:4:0

On Sufficient Demand

Prerequisite(s):

MATH 1220 with a grade of C or higher
For engineering students. Includes separable equations, linear differential equations, differential operators and annihilators, variation of parameters, Laplace transforms, systems of linear differential equations, and numerical methods. Introduces basic concepts of linear algebra including matrices, Gaussian elimination, determinants, linear independence, and eigenvalues and eigenvectors.

Linear Algebra

3:3:0

Fall, Spring

Prerequisite(s):

MATH 1220 with a grade of C or higher
Includes matrices and systems of equations, determinants, vector spaces, linear transformations, orthogonality, and eigenvalues and eigenvectors.

Ordinary Differential Equations

3:3:0

Fall, Spring

Prerequisite(s):

MATH 2210 with a grade of C or higher
Includes separable equations, linear differential equations, differential operators and annihilators, variation of parameters, power series solutions of differential equations, Laplace transforms, systems of linear differential equations, and numerical methods.

Cooperative Work Experience

2 to 9:1:5 to 40

Fall, Spring, Summer

Prerequisite(s):

Approval of Cooperative Coordinator
Designed for mathematics majors. Provides paid work experiences in the student's major. Course content is individualized, with the student setting the objectives by consulting with a faculty coordinator and the on-the-job supervisor. Credit is determined by the number of hours the student works during the semester. Repeatable for a maximum of 16 credits toward graduation. May be graded credit/no credit.

History of Mathematics

3:3:0

Spring

Prerequisite(s):

MATH 2210 with a grade of C or higher and University Advanced Standing
Provides a survey of the history of mathematics.

Methods of Secondary School Mathematics Teaching

3:3:0

Fall

Prerequisite(s):

MATH 2210 with a grade of C or higher and EDSC 4550 with a grade of B- or higher
and University Advanced Standing
For Mathematics Education majors. Presents different methods of teaching mathematical ideas at the secondary school level. Includes classroom instruction, students presentations, and field experiences. Studies various techniques of assessment and classroom management.

Computer Based Mathematics for Secondary School Mathematics Teachers

3:3:0

Fall

Prerequisite(s):

(MATH 2210 and MATH 2270 each with a grade of C or higher) and University Advanced
Standing; MATH 2280 with a grade of C or higher is recommended
For Mathematics Education majors. Presents one or more popular mathematical computer software packages. Includes mathematical problem solving and presentations of mathematical concepts using a computer as an aid. Introduces appropriate programming language. Lab access fee of $30 applies.

Algebra for Secondary Mathematics Teaching

3:3:0

Spring

Prerequisite(s):

Math 1210 with a grade B+ or higher and University Advanced Standing and Mathematics
Department Advisor Approval
For Mathematics Education Majors: Includes the exploration of important conceptual underpinnings, common misconceptions and students' ways of thinking, appropriate use of technology, and instructional practices to support and assess the learning of algebra. Teaches algebra as an extension of number, operation, and quantity; various ideas of equivalence as it pertains to algebraic structures; patterns of change as covariation between quantities; connections between representations (tables, graphs, equations, geometric models, context); and the historical development of content and perspectives from diverse cultures. Focuses on deeper understanding of rational numbers, ratios and proportions, meaning and use of variables, functions (e.g., exponential, logarithmic, polynomials, rational, quadratic), and inverses.

Foundations of Geometry

3:3:0

Fall, Spring

Prerequisite(s):

MATH 1220 with a grade of C or higher and University Advanced Standing
Offers an axiomatic development of Euclidean and non-Euclidean geometries.

Foundations of Analysis

3:3:0

Spring, Summer

Prerequisite(s):

MATH 2210 with a grade of C or higher and University Advanced Standing
Corequisite(s):

MATH 2270 and MATH 2280
Introduces the construction of rigorous proofs of mathematical claims in the context of beginning analysis.

Complex Variables

3:3:0

Fall

Prerequisite(s):

MATH 2210 with a grade of C or higher and University Advanced Standing
Introduces complex analysis. Includes algebra of complex numbers, analytic functions, mapping properties of elementary functions, the Cauchy integral formula, complex series, residues, and comformal mapping.

Foundations of Abstract Algebra

3:3:0

Fall, Spring

Prerequisite(s):

(MATH 2210 and MATH 2270 each with a grade of C or higher) and University Advanced
Standing
Offers an introduction to algebraic structures. Includes groups, rings, integral domains, fields.

Discrete Mathematics

3:3:0

Fall, Spring

Prerequisite(s):

MATH 1220 with a grade of C or higher and University Advanced Standing
Includes logic, sets, functions, elementary number theory, mathematical induction, equivalence relations, and cardinality. Emphasizes the writing of proofs.

Partial Differential Equations

3:3:0

Spring

Prerequisite(s):

MATH 2280 with a grade of C or higher and University Advanced Standing
Introduction to partial differential equations. Topics include Bessel functions, Legendre polynomials, Fourier analysis, partial differential equations, and boundary value problems.

Financial Mathematics

3:3:0

Fall, Spring, Summer

Prerequisite(s):

(MATH 1220 or FIN 3100 each with a grade of C or higher) and University Advanced
Standing
Prepares students to take Exam FM/Exam 2 given by the Society of Actuaries/Casualty Actuarial Society. Trains students to answer complex questions under significant time pressure. Teaches the principles and mathematics of interest, annuities, amortization, investments, financial economics, derivative investment contracts and financial risk management.

Introduction to Probability

3:3:0

On Sufficient Demand

Prerequisite(s):

MATH 2210 with a grade of C or higher and University Advanced Standing
An introduction to probability which includes random variables, marginal, joint and conditional distributions, transformations of random variables, expectation, variance, covariance, and special distributions. Also covers counting techniques, moment generating functions, and the central limit theorem.

Actuarial Problems Laboratory

1:0:3

On Sufficient Demand

Prerequisite(s):

MATH 4000 and University Advanced Standing
Provides preparation for the first actuarial examination by linking concepts of probability and mathematical statistics to actuarial applications.

Actuarial Problems Finance Laboratory

1:0:3

On Sufficient Demand

Prerequisite(s):

(MATH 3750 or Departmental Approval) and University Advanced Standing
Provides preparation for the second actuarial examination by linking concepts of finance and derivative markets to actuarial applications frequently found on Exam FM/2.

Geometry for Secondary Mathematics Teaching

3:3:0

Fall

Prerequisite(s):

Math 3100 with a grade C or higher and University Advanced Standing
For Mathematics Education Majors. Includes the exploration of important conceptual underpinnings, common misconceptions and students' ways of thinking, appropriate use of technology, and instructional practices to support and assess the learning of geometry. Teaches constructions and transformations, congruence and similarity, analytic geometry, solid geometry, conics, trigonometry, and the historical development of content and perspectives from diverse cultures. Makes explicit connections to various mathematical content strands (modeling, complex numbers, function, and algebra).

Statistics and Probability for Secondary Mathematics Teaching

3:3:0

Fall

Prerequisite(s):

Math 1210 with a grade B+ or higher and Math 2040 with a grade C or higher and University
Advanced Standing
For Mathematics Education Majors. Includes the exploration of important conceptual underpinnings, common misconceptions and students' ways of thinking, appropriate use of technology, and instructional practices to support and assess the learning of statistics and probability. Focuses on summarizing and representing data, study design and sampling, probability, testing claims and drawing conclusions, and the historical development of content and perspectives from diverse cultures.

Advanced Calculus I

3:3:0

Fall

Prerequisite(s):

MATH 2210 with a grade of C or higher and (MATH 3200 or MATH 3310 with a grade of
C or higher) and University Advanced Standing
Prerequisite(s) or Corequisite(s):

MATH 2270 and MATH 2280
Covers the introductory concepts of calculus proofs, including sequences, series, integration, differentiation, continuity, series and sequences of functions, analytic functions, compactness, and an introduction to the topology of Euclidean spaces.

Advanced Calculus II

3:3:0

Spring

Prerequisite(s):

MATH 4210, MATH 2270 and MATH 2280 with a grade of C or higher, and University Advanced
Standing
Covers the multivariable calculus proofs, including vectors, Jordan regions, metric spaces, topology in Euclidean spaces, multivariable derivatives, multivariable Riemann integration and continuity.

Introduction to Modern Algebra I

3:3:0

Fall

Prerequisite(s):

MATH 3300 with a grade of C or higher and University Advanced Standing
Introduces the student to basic topics in Modern Algebra in this first course of a two-course sequence. Includes a thorough study of group theory and an introduction to rings.

Introduction to Modern Algebra II

3:3:0

Spring

Prerequisite(s):

MATH 4310 with a grade of C or higher and University Advanced Standing
Continues the study of rings in this second course of a two-course sequence that introduces the student to topics in Modern Algebra. Focuses on the study of fields and field extensions, and applies these concepts to the solutions of the three famous construction problems from antiquity.

Theory of Linear Algebra

3:3:0

On Sufficient Demand

Prerequisite(s):

MATH 3300 with a grade of C or higher and University Advanced Standing
Presents a theoretical treatment of vector spaces, linear transformations, and inner product spaces.

Introduction to Number Theory

3:3:0

On Sufficient Demand

Prerequisite(s):

MATH 1220 with a grade of C or higher and University Advanced Standing
Covers divisibility, irreducibility and primeness, linear Diophantine equations, Pell's equation, continued fractions, conguences, Euler's theorem, arithmetic functions, primitive roots, quadratic reciprocity.

Foundations of Topology

3:3:0

On Sufficient Demand

Prerequisite(s):

MATH 3310 with a grade of C or higher and University Advanced Standing
Introduction to the ideas of topologies, compactness, connectedness, countability, separability, separation axioms, homeomorphisms, and the Baire Category Theorem.

Introduction to Numerical Analysis I

3:3:0

Fall

Prerequisite(s):

(MATH 2210, MATH 2270, and MATH 2280, each with a grade of C or higher), an approved
programming language, and University Advanced Standing
Introduction to numerical analysis I. Topics will include numerical solutions of equations in one variable, numerical solutions of linear and nonlinear system of equations, interpolations and polynomial approximation, and approximating eigenvalues and eigenvectors. Lab access fee of $30 applies.

Introduction to Numerical Analysis II

3:3:0

Spring

Prerequisite(s):

MATH 4610 with a grade of C or higher and University Advanced Standing
Introduction to numerical analysis II. Topics will include numerical differentiation and integration, numerical solutions of initial-value problems and boundary-value problems for ordinary differential equations, numerical. Lab access fee of $30 applies.

Life Contingencies

3:3:0

Spring

Prerequisite(s):

STAT 4710 with a grade of C or higher and University Advanced Standing
Includes survival models, Markov Chains, life insurance and annuities, and Poisson processes. Prepares students for the life contingencies portion of Exam M of the Society of Actuaries.

Internship in Mathematics

1 to 4:0:5 to 20

On Sufficient Demand

Prerequisite(s):

Instructor Approval and University Advanced Standing
For mathematics majors. Provides mathematics-related work experience in an industrial, commercial, or research environment. Internship credit may not be used in fulfilling the mathematics major course requirements. May be taken two times for a maximum of 6 credits toward graduation. May be graded credit/no credit.

Topics in Mathematics

2 to 3:2 to 3:0

On Sufficient Demand

Prerequisite(s):

Departmental approval and University Advanced Standing
Studies a chosen topic in mathematics. The topic will vary depending upon student demand. Course may be taken more than once for different topics and for a maximum of 6 credit hours counted toward graduation.

Mathematics Capstone

2:2:0

Spring

Prerequisite(s):

Instructor approval, departmental approval, and University Advanced Standing
For mathematics majors, to be taken during the last semester before graduation. Reviews topics learned in the core undergraduate mathematics courses. Assesses student understanding through the Major's Field Test. Provides an opportunity for senior mathematics majors to participate in mathematical research under the supervision of a faculty member. Offers a setting in which students prepare a research paper and give oral presentations that describe their research.

General Topology

3:3:0

On Sufficient Demand

Prerequisite(s):

MATH 4510 with a grade of C or higher or MATH 4210 with a grade of C or higher
Introduces the fundamentals of general topology, including topological spaces, separation axioms, continuity, compactness, connectedness, metric spaces, product spaces, metrization and ordinals.

Special Topics in Geometry and Topology

3:3:0

On Sufficient Demand

Prerequisite(s):

Licensed Secondary Teacher Mathematics Endorsement Level 4 State of Utah and/or permission
of instructor
Includes manifolds, fundamental group, classification of surfaces, covering spaces, homotopy types, differential geometry, Riemannian geometry, algebraic geometry, projective geometry, and algebraic topology. May be delivered online.

Introduction to Combinatorics

3:3:0

On Sufficient Demand

Prerequisite(s):

Licensed Secondary Teacher Mathematics Endorsement Level 4 State of Utah and/or permission
of instructor
Enumerates permutations and combinations of sets and multi-sets, inclusion-exclusion, recurrence relations, generating functions, Polya theory, and combinatorial structures.