Department of Mathematics and Physics
Courses
Mathematics
A mastery-based course that will prepare students for college algebra.
Critical thinking course for non-science majors that develops quantitative reasoning skills. Topics include logical thinking, problem-solving, linear modeling, beginning statistics and probability, exponential and logarithmic models, formula use, and financial concepts.
Pre-req: ACT Math with a score of 19 or SAT Mathematics Before Mar. 16 with a score of 460 or Placement Math with a score of 100 or Placement Math After SP17 with a score of 101 or Placement Math SP20 with a score of 241 or Math Workshop-UC with a score of 100 or MTH 102B with a minimum grade of C or SAT MATH SECTION SCORE with a score of 510.
Critical thinking course for non-science majors that develops quantitative reasoning skills. Topics include logical thinking, linear modeling, statistics and probability, exponential and logarithmic modeling, and financial concepts, with arithmetic review.
Pre-req: ACT Math with a score of 21 or SAT Mathematics Before Mar. 16 with a score of 530 or SAT MATH SECTION SCORE with a score of 530.
Definitions of circular functions; graphs of the trigonometric functions, trigonometric identities, and applications.
Pre-req: ACT Math with a score of 22 or SAT Mathematics Before Mar. 16 with a score of 520 or SAT MATH SECTION SCORE with a score of 540 or Placement Math After SP17 with a score of 103 or Placement Math SP20 with a score of 257 or MTH 127 with a minimum grade of C or MTH 130 (may be taken concurrently) with a minimum grade of C.
A brief but careful review of the main techniques of algebra. Polynomials, rational, exponential, and logarithmic functions. Graphs, equations and inequalities, sequences.
Pre-req: ACT Math with a score of 17 or SAT Mathematics Before Mar. 16 with a score of 400 or SAT MATH SECTION SCORE with a score of 460 or Placement Math After SP17 with a score of 101 or Placement Math SP20 with a score of 237 or Placement Math with a score of 100 or Math Workshop-UC with a score of 100 or MTH 102 with a minimum grade of C or MTH 102B with a minimum grade of C.
Polynomial, rational, exponential, and logarithmic functions. Graphs, equations and inequalities, sequences.
Pre-req: ACT Math with a score of 21 or SAT Mathematics Before Mar. 16 with a score of 500 or SAT MATH SECTION SCORE with a score of 530 or Placement Math After SP17 with a score of 102 or Placement Math SP20 with a score of 250.
Functions used in calculus including polynomial, rational, exponential, logarithmic, and trigonometric. Systems of equations and inequalities, conic sections, polar and parametric equations, sequences and series, Binomial Theorem.
Pre-req: ACT Math with a score of 24 or SAT Mathematics Before Mar. 16 with a score of 560 or SAT MATH SECTION SCORE with a score of 570 or Placement Math After SP17 with a score of 104 or Placement Math SP20 with a score of 263 or MTH 127 with a minimum grade of C or MTH 130 with a minimum grade of C.
A brief survey of calculus including both differentiation and integration with applications.
Pre-req: ACT Math with a score of 24 or SAT Mathematics Before Mar. 16 with a score of 560 or SAT MATH SECTION SCORE with a score of 570 or Placement Math After SP17 with a score of 104 or Placement Math SP20 with a score of 263 or MTH 127 with a minimum grade of C or MTH 130 with a minimum grade of C or MTH 130H with a minimum grade of C or MTH 132 with a minimum grade of C.
A brief survey of calculus including both differentiation and integration with applications. This honors course will also introduce topics from differential equations with applications.
Pre-req: ACT Math with a score of 24 or SAT Mathematics Before Mar. 16 with a score of 560 or SAT MATH SECTION SCORE with a score of 570.
A critical thinking course in applied mathematical reasoning. Topics include logic, problem solving, linear modeling, beginning statistics and probability, exponential and logarithmic modeling, formula use.
Pre-req: SAT Mathematics Before Mar. 16 with a score of 400 or ACT Math with a score of 17 or SAT MATH SECTION SCORE with a score of 460 or Placement Math After SP17 with a score of 101 or Placement Math SP20 with a score of 237 or MTH 102 with a minimum grade of C or MTH 102B with a minimum grade of C or MTH 127 with a minimum grade of C.
Sets, relations, directed and undirected graphs, monoids, groups, lattices, Boolean algebra, and propositional logic.
Pre-req: ACT Math with a score of 27 or SAT Mathematics Before Mar. 16 with a score of 610 or SAT MATH SECTION SCORE with a score of 630 or Placement Math After SP17 with a score of 105 or Placement Math SP20 with a score of 276 or MTH 132 with a minimum grade of C or MTH 140 with a minimum grade of C or MTH 229 with a minimum grade of C or MTH 229H with a minimum grade of C.
An introduction to calculus and analytic geometry, emphasizing critical thinking. Limits, derivatives, and integrals of the elementary functions of one variable, including transcendental functions.
Pre-req: ACT Math with a score of 27 or SAT Mathematics Before Mar. 16 with a score of 610 or SAT MATH SECTION SCORE with a score of 630 or Placement Math After SP17 with a score of 105 or Placement Math SP20 with a score of 276 or MTH 132 with a minimum grade of C.
An introduction to calculus and analytic geometry for honors students, emphasizing critical thinking. Limits, derivatives, and integrals of the elementary functions of one variable, including transcendental functions.
Pre-req: ACT Math with a score of 27 or SAT Mathematics Before Mar. 16 with a score of 610 or SAT MATH SECTION SCORE with a score of 630 or MTH 132 with a minimum grade of C.
Analytic geometry of two and three dimensions, partial differentiation, and multiple integrals.
Pre-req: MTH 230 with a minimum grade of C.
A transition between elementary calculus and higher mathematics with emphasis on techniques of proofs.
Pre-req: MTH 230 with a minimum grade of C.
An integrated study of proof, number, quantity, measurement, algebra, trigonometry, and geometry for secondary mathematics educators. Includes teaching techniques, engagement strategies, assessment analysis, and topics specific to professional educators.
Pre-req: MTH 229 with a minimum grade of C or (MTH 140 with a minimum grade of C and MTH 122 with a minimum grade of C).
An integrated study of proof, probability, statistics, functions, trigonometry, pre-calculus, and calculus for secondary mathematics educators. Includes teaching techniques, engagement strategies, assessment analysis, and topics specific to professional educators.
Pre-req: MTH 229 with a minimum grade of C or (MTH 140 with a minimum grade of C and MTH 122 with a minimum grade of C).
A study of differential equations, their solutions, and applications to physical systems, emphasizing closed-form solving methods. Laplace transforms, orthogonal functions, approximation and numerical methods with applications.
Pre-req: MTH 230 with a minimum grade of C.
An introductory survey of complex numbers, analytic functions, properties of elementary functions, integrals, series, residues and poles, with a focus on practical applications.
Pre-req: MTH 231 with a minimum grade of C.
A course in n-dimensional calculus: the derivative, the integral, and applications. Coordinate-free methods are emphasized.
Pre-req: MTH 231 with a minimum grade of C.
Emphasis on the language of Modern Elementary Algebra. Recommended for pre-service elementary teachers and for elementary and secondary in-service teachers. May not be used for either a degree offered by the Department of Mathematics or for a 7-9 or 7-12 mathematics specialization.
Pre-req: MTH 127 with a minimum grade of C or MTH 130 with a minimum grade of C.
Informal development of geometry. Recommended for preservice elementary teachers and for elementary and secondary inservice teachers. May not be used for either a degree offered by the Department of Mathematics or for a 7-9 or 7-12 mathematics specialization.
Pre-req: MTH 130 with a minimum grade of C or MTH 127 with a minimum grade of C.
Content and content-specific pedagogy for secondary mathematics education majors.
Pre-req: Admitted to Teacher ED with a score of 5.
A study of the history of mathematics from the time of the ancient Greeks to the end of the nineteenth century.
Pre-req: MTH 300 with a minimum grade of C.
Students work in teams to construct mathematical models of various real-world situations. Problems to be modeled are drawn from diverse areas of application and use a wide range of undergraduate mathematics.
Pre-req: MTH 231 with a minimum grade of C.
Differential equations. Heat Equation, Laplace's Equation, separation of variables, Fourier series, vibrating strings, eigenvalue problems, finite differences, Bessel functions, Legendre polynomials.
Pre-req: MTH 331 with a minimum grade of C and MTH 335 with a minimum grade of C.
Differential equations are studied qualitatively. Topics include the existence and uniqueness of solutions and the behavior of solutions including stability of nonlinear systems, periodic solutions, and approximation using pertubation methods.
The number system, limits, sequences, partial differentiation with applications, maxima and minima of functions of several variables. Theory of definite integrals, multiple integrals, line and surface integrals, improper integrals, infinite series.
Pre-req: MTH 231 with a minimum grade of C and MTH 300 with a minimum grade of C.
The number system, limits, sequences, partial differentiation with applications, maxima and minima of functions of several variables. Theory of definite integrals, multiple integrals, line and surface integrals, improper integrals, infinite series.
Pre-req: MTH 427 with a minimum grade of C.
First course in topology. Basics of point-set topology: metric and topological spaces, continuity, connectedness, compactness, products, quotients. Surfaces and simplicial complexes, Euler characteristics.
Pre-req: MTH 300 with a minimum grade of C.
This course is designed to introduce students in mathematical sciences to the theorems, techniques, and applications of graph theory and combinatorics.
Pre-req: MTH 300 with a minimum grade of C.
Direct and iterative methods for numerical solution of linear systems of equations. Eigenvalues and eigenvectors. Error Analysis and norms. Related topics.
Pre-req: MTH 331 with a minimum grade of C.
The theory and technique of numerical computation involving the difference calculus, the summation calculus, interpolation methods, solution of systems of equations, and methods of solution of ordinary differential equations.
Pre-req: MTH 331 with a minimum grade of C.
Finite geometrics, basic background material for the modern development of Euclidean Geometry, other geometries.
Pre-req: MTH 300 with a minimum grade of C.
Projective Geometry using both synthetic and algebraic methods.
Pre-req: MTH 300 with a minimum grade of C.
Structure of the abstract mathematical systems; groups, rings, fields, with illustrations and applications from number theory.
Pre-req: MTH 300 with a minimum grade of C and MTH 331 (may be taken concurrently) with a minimum grade of C.
A survey of some basic properties of the integers: divisibility (prime numbers, factorization, perfect numbers), congruences (modular arithmetic, linear and quadratic congruences, the Chinese Remainder Theorem), and Diophantine equations.
Pre-req: MTH 300 with a minimum grade of C.
A supervised internship in an area of mathematics, applied mathematics, or statistics. By permission only.
Pre-req: MTH 300 with a minimum grade of C.
Capstone experience in reading, doing writing and speaking mathematics. Student will explore topics related to a theme chosen by the instructor.
Pre-req: MTH 300 with a minimum grade of C.
Physics
Introduces nonscience majors to applications of physics in life. Emphasizes conceptual understanding of basic principles in classical and modern physics. Recommended for science students with no high school physics.
Pre-req: (MTH 121 with a minimum grade of D or MTH 127 with a minimum grade of D or MTH 130 with a minimum grade of D or MTH 130E with a minimum grade of D or MTH 132 with a minimum grade of D or MTH 229 with a minimum grade of D or MTH 229H with a minimum grade of D or MTH 203 with a minimum grade of D or MTH 121B with a minimum grade of D) or MTH 130H with a minimum grade of D and PHY 101L (may be taken concurrently) with a minimum grade of D.
An algebra-based overview of well-established topics studied as part of a major in physics, including classical physics, special relativity, quantum mechanics, particle physics, and cosmology.
First half of an introduction to physics for life-science students, using algebra and trigonometry, including kinematics and dynamics, force, energy, rotation, fluids, waves, and therma phenomena.
Pre-req: (MTH 127 with a minimum grade of D and MTH 122 with a minimum grade of D) or (MTH 130 with a minimum grade of D and MTH 122 with a minimum grade of D) or MTH 132 with a minimum grade of D or (MTH 140 with a minimum grade of D and MTH 122 with a minimum grade of D) or MTH 229 with a minimum grade of D or MTH 229H with a minimum grade of D or MTH 140H with a minimum grade of D and PHY 202 (may be taken concurrently) with a minimum grade of D.
Laboratory to accompany PHY 201 or PHY 211, focusing on mechanics concepts and applications.
Pre-req: PHY 201 (may be taken concurrently) with a minimum grade of D or PHY 211 (may be taken concurrently) with a minimum grade of D.
Second half of an introduction to physics for life-science students, using algebra and trigonometry, including electric and magnetic fields, circuits, geometrical and physical optics, atomic and nuclear physics.
Pre-req: (PHY 201 with a minimum grade of C and PHY 202 with a minimum grade of C) and PHY 204 (may be taken concurrently) with a minimum grade of C.
Laboratory to accompany PHY 203 or PHY 213, focusing on classical E&M, circuits, and optics.
Pre-req: (PHY 203 (may be taken concurrently) with a minimum grade of D or PHY 213 (may be taken concurrently) with a minimum grade of D).
First half of an introduction to physics for physical science and engineering students, using calculus, and including kinematics and dynamics, force, energy, rotation, fluids, waves, and thermal phenomena.
Pre-req: (MTH 229 (may be taken concurrently) with a minimum grade of D or MTH 229H (may be taken concurrently) with a minimum grade of D) and PHY 202 (may be taken concurrently) with a minimum grade of D.
Second half of an introduction to physics for physical science or engineering students, using calculus, including electric and magnetic fields, circuits, geometrical and physical optics, atomic and nuclear physics.
Pre-req: MTH 230 (may be taken concurrently) and PHY 204 (may be taken concurrently) and (PHY 201 with a minimum grade of C or PHY 211 with a minimum grade of C) and PHY 202.
Additional aspects in E&M and Optics, Modern Physics, (calculus and multipole functions) to make College Physics 2 equivalent to University Physics 2.
A study of Maxwell's equations and electromagnetic waves, radiation theory, optical phenomena, and electrodynamics. 3 lec.
Pre-req: PHY 300.
A study of transistors, integrated circuits and their associated circuits. 3 lec.
Pre-req: PHY 203 with a minimum grade of D or PHY 213 with a minimum grade of D and PHY 415 (may be taken concurrently) with a minimum grade of D.
Introduction to some of the most important tools and techniques in scientific computing, including object-oriented design, version control, and MPI for high-performance computing.
Pre-req: MTH 229 with a minimum grade of D or MTH 229H with a minimum grade of D or IST 163 with a minimum grade of D.
Physical principles underlying the mechanisms by which living organisms survive, adapt, grow. Will enhance writing skills and strategies. 2 lec - 2 lab. (PR: PHY 203 or 213, and PHY 204)
Pre-req: PHY 203 (may be taken concurrently) or PHY 213 (may be taken concurrently) and PHY 204.
Introduction to Thermodynamics, kinetic theory of gases, classical and quantum statistical mechanics, Bose-Einstein and Fermi-Dirac statistics, and application. 3 lec.
Pre-req: MTH 231 with a minimum grade of D and (PHY 203 with a minimum grade of D and PHY 213 with a minimum grade of D).
A course in laboratory measurements encompassing transistors, integrated circuits, and their associated circuits. This course is to be taken with Physics 314.
Pre-req: PHY 314 (may be taken concurrently) with a minimum grade of D.
Laboratory exercises on modern physics topics encompassing both experiments of historic significance and current applications. To be taken with Physics 320, or equivalent.
A course on using numerical methods and computer programming languages for solving complex physics problems and for the simulation of various physical processes. 2 lec-2 lab.
Pre-req: PHY 213 with a minimum grade of D and PHY 330 with a minimum grade of D and (PHY 445 with a minimum grade of D or PHY 446 with a minimum grade of D) and MTH 231 with a minimum grade of D.
This is the second part of a two-semester introduction to quantum mechanics. Emphasis is on applications of quantum theory including approximation techniques and the study of more realistic quantum systems.
Pre-req: PHY 442 with a minimum grade of D or CHM 442 with a minimum grade of D.
Developments in producing and detecting correlated photon pairs has enabled implementation of undergraduate laboratories demonstrating fundamental quantum mechanical principles. This laboratory also incorporates fundamental solid state and materials science experiments.
Pre-req: PHY 425 (may be taken concurrently) and PHY 442 (may be taken concurrently).
An introduction to theory of orthogonal functions, curvilinear coordinate systems, vector and tensor fields, and their applications in physics. Problems are drawn from different areas of physics. 3 lec.
Pre-req: PHY 203 or PHY 213 and MTH 231.
A second semester of a full year course on methods of solving problems in physics: calculus of variations, ordinary and partial differential equations, and special functions with real physics problems.
Pre-req: PHY 445.
By permission of department chairman.
By permission of department chairman.
By permission of department chairman.
By permission of department chairman.
To give a capstone expeience to physics majors in their junior or senior years by applying the principles of physics to the solution of real life problems. (PR: CSD 203, or 218 and lab).
To give a capstone experience to physics majors in their junior or senior years by applying the principles of physics to the solution of real life problems. (PR: PHY 491)
Pre-req: PHY 491 with a minimum grade of D.
Statistics
A critical thinking course on the basic foundation of Statistics for non-majors, allowing them to better prepare, develop and harness discipline-specific skills.
Pre-req: (ACT Math with a score of 17 or SAT MATH SECTION SCORE with a score of 460 or SAT Mathematics Before Mar. 16 with a score of 400 or Placement Math SP20 with a score of 237 or MTH 102 with a minimum grade of C or MTH 102B with a minimum grade of C) and STA 150L (may be taken concurrently) with a minimum grade of D.
A critical thinking course on the basic foundation of Statistics for non-majors with algebra review, allowing them to better prepare, develop and harness discipline-specific skills.
Pre-req: STA 150L (may be taken concurrently) with a minimum grade of D.
A lab to provide training in using the SPSS software in Foundations of Statistics for non-majors.
Pre-req: STA 150 (may be taken concurrently) with a minimum grade of D or STA 150B (may be taken concurrently) with a minimum grade of D.
A critical thinking course in applied statistical reasoning covering basic probability, descriptive statistics and fundamental statistical inference procedures. Parameter estimation and hypothesis testing for variety of situations with wide applications.
Pre-req: ACT Math with a score of 21 or SAT Mathematics Before Mar. 16 with a score of 500 or SAT MATH SECTION SCORE with a score of 530 or Placement Math After SP17 with a score of 102 or MTH 121 with a minimum grade of C or MTH 121B with a minimum grade of C or MTH 122 with a minimum grade of C or MTH 127 with a minimum grade of C or MTH 130 with a minimum grade of C.
Use of statistical packages; introduction to descriptive, probability and sampling distributions; forecasting, inferences concerning one and two samples; simple and multiple regression, analysis of variance and covariance.
Pre-req: STA 225 with a minimum grade of C or MTH 229 with a minimum grade of C or STA 150 with a minimum grade of C or STA 150B with a minimum grade of C.
Statistical methods in scientific/engineering research, with emphasis on applications. Probability modeling, experimental design/survey sampling, estimation/hypothesis testing procedures, regression, ANOVA/factor analysis. Implementation using statistical software such as Excel/SAS.
Pre-req: MTH 229 with a minimum grade of C or MTH 229H with a minimum grade of C.
Determining regression models; deriving parameter estimates using calculus; detailed coverage of tests of assumptions and remedial procedures (transformations and weithted least-squares); multiple and polynomial regression; tests and corrections for autocorrelation.
Pre-req: MTH 230 with a minimum grade of C and (STA 345 with a minimum grade of C or STA 445 with a minimum grade of C).
Analysis of variance an covariance models with derivations using calculus; detailed testing of model assumptions and remedial measures (as transformations) to yield adequate models; use of various statistical designs.
Pre-req: MTH 230 with a minimum grade of C and (STA 345 with a minimum grade of C or STA 445 with a minimum grade of C).
Coverage of a variety of nonparametric or distribution-free methods for practical statistical inference problems in hypothesis testing and estimation, including rank procedures and randomization procedures.
Pre-req: MTH 230 with a minimum grade of C and (STA 345 with a minimum grade of C or STA 445 with a minimum grade of C).
Finding statistical models to represent various time dependent phenomena and processes; coverage of a variety of forecasting techniques, with an emphasis on adaptive, regression, and Box-Jenkins procedures.
Pre-req: STA 445 with a minimum grade of C.
Coverage of the theory and applications of a variety of sampling designs; sample size determination; ratio and regression estimates; comparisions among the designs.
Pre-req: MTH 230 with a minimum grade of C and (STA 345 with a minimum grade of C or STA 445 with a minimum grade of C).
Introduction to statistical learning techniques for analyzing high dimensional data. Topics include data mining strategy, explanatory analysis, predictive modeling techniques and model assessment.
Pre-req: MTH 230 with a minimum grade of C and (STA 345 with a minimum grade of C or STA 445 with a minimum grade of C).
Statistical inference: estimation of parameters, tests of hypotheses. Regression, analysis of variance.
Pre-req: STA 445 with a minimum grade of C.
Introduction to the commonly used statistical computing techniques, procedures and methods, with extensive use of R language and environment, and SAS for statistical computing and graphics.
Pre-req: MTH 230 with a minimum grade of C and (STA 345 with a minimum grade of C or STA 445 with a minimum grade of C).
Review of probability theory. Topics include stationary processes, discrete and continuous time Markov chains, Markovian queuing systems, random walks, renewal processes, Brownian motion and Markov Chain Monte Carlo.
Pre-req: STA 445 with a minimum grade of C.
Survival and hazard functions, parametric and non-parametric methods, models and inferences for survival data, and regression diagnosis.
Pre-req: MTH 230 with a minimum grade of C and (STA 345 with a minimum grade of C or STA 445 with a minimum grade of C).
Courses on special topics in statistics not listed among the current offerings.
A faculty, supervised, indvidualized course of study of a topic in statistics.