Math and Physics

Covers arithmetic, linear expressions and equations, linear graphs, exponents, and polynomial multiplication and factoring in preparation for MATH 102, MATH 104, and MATH 111.

Prerequisites: None.

Offered: Fall, Spring.

Covers topics selected from review of algebra fundamentals, sets, logic, number theory, geometry, consumer math, linear and exponential modeling, math and the arts, voting methods, probability, and statistics. Intended for students who need no further mathematics courses beyond competency.

Prerequisites: MATH 100 with a grade of C- or better; or appropriate placement.

Offered: Fall, Spring.

Meets: Computational Skills, Computational Skills

Introduces modern statistics including statistics and data, displaying descriptive statistics, measures of central tendency and dispersion, probability and counting, the binomial and normal probability distributions, sampling and sampling distributions, confidence intervals, hypothesis testing; and correlation and regression. Not open to students with credits in any of these courses: BIOS 210, GEOS 295, MATH 203, POLS 200, PSYC 250, QM 210, 310, SOCA 250, 295 or 300. Four-hour lecture.

Prerequisites: MATH 100 with a grade of C- or better; or appropriate placement.

Offered: Fall, Spring.

Meets: Natural Science: MATH, Computational Skills, Computational Skills

Covers topics from college algebra (such as functions, linear, exponential and logarithmic models), statistics, and graphing. Emphasizes proportional reasoning, modeling, problem-solving and applications. Intended for students whose program does not require further coursework in pre-calculus or calculus. Four-hour lecture.

Prerequisites: MATH 100 with a grade of C- or better; or appropriate placement.

Offered: Fall, Spring.

Meets: Computational Skills, Computational Skills

Models business scenarios using algebraic techniques and analysis to help solve business problems and make predictions. Successfully completing MATH 105AX, MATH 105BX, and MATH 105CX satisfies the UW-P computational skills requirement for flexible option students.

Prerequisites: Admission to the Flexible Option Program and consent of program representative.

Covers evaluation of investment options, including factors such as interest rate, compounding period, and length of contract. Applies exponential and logarithmic functions to determine the best investment options. Successfully completing MATH 105AX, MATH 105BX, and MATH 105CX satisfies the UW-P computational skills requirement for flexible option students.

Prerequisites: MATH 105AX; admission to the Flexible Option Program and consent of program representative.

Models business scenarios using algebraic methods. Identifies and applies the best method to solve the business problems. Successfully completing MATH 105AX, MATH 105BX, and MATH 105CX satisfies the UW-P computational skills requirement for flexible option students.

Prerequisites: MATH 105BX; admission to the Flexible Option Program and consent of program representative.

Surveys the development of mathematics through a variety of cultural perspectives. Includes the historical evolution of counting systems, mathematical tools, geometry, and other mathematical techniques. Examines how mathematics is used and portrayed in modern society and what biases exist in our understanding of mathematics and mathematicians.

Prerequisites: None.

Offered: Spring.

Meets: Natural Science: MATH

Explores linear equations, single and compound inequalities, and absolute value equations and inequalities; equations of lines and linear systems; exponential and polynomial operations with function evaluation; polynomial factoring by combinations of GCF, grouping, trinomial including quadratic-in-form, difference of squares, and sum and difference of cubes; quadratic and higher-degree equations by factoring; rational operations and equations; variation; radical operations and equations with up to two radical terms; complex numbers; completing the square and quadratic formula for quadratic equations; general polynomial equations; quadratic functions with graphing; introduction to exponential and logarithmic functions and equations.

Prerequisites: MATH 100 with a grade of C- or better; or appropriate placement.

Offered: Fall, Spring.

Meets: Computational Skills, Computational Skills

Explores functions and graphs, polynomial functions, exponential and logarithmic functions, sequences, series, induction and combinatorics. Four hour lecture.

Prerequisites: MATH 111 with C or better; or equivalent; or appropriate placement.

Offered: Fall, Spring.

Introduces trigonometry with applications including angular and circular definitions of trigonometric functions, graphing, use of fundamental identities.

Prerequisites: MATH 112 or equivalent or concurrent registration.

Offered: Fall, Spring.

Covers functions and graphs, polynomials and rational functions, exponential and logarithmic functions, trigonometric functions, trigonometric identities and equations, applications, sequences, series. Not open to those with credit in MATH 112 or 113.

Prerequisites: MATH 111 with C or better; or equivalent, or appropriate placement; not open to those with credit in MATH 112 or MATH 113.

Offered: Fall, Spring.

Introduces inferential statistics including elementary combinatorics and probability, binomial and normal distributions, Central Limit Theorem, estimation, confidence intervals, hypothesis testing, correlation, regression, chi-square distribution, and analysis of variance.

Prerequisites: Successful completion of Computational Skills requirement.

Offered: Spring.

Topics include the development of the algorithms of arithmetic, numeration systems, problem solving, number theory and set theory.

Prerequisites: MATH 111 with grade of C or better or consent of instructor.

Offered: Occasionally.

Topics include introductory geometry, constructions, congruence, similarity, motion geometry, concepts of measurements, probability and statistics.

Prerequisites: MATH 215.

Offered: Occasionally.

Explains rate of change and limits, differentiation, applications of the derivative, integration, applications of the integral and transcendental functions.

Prerequisites: MATH 112 and MATH 113 or equivalent; or appropriate placement.

Offered: Fall, Spring.

Meets: Natural Science: MATH

Examines methods of integration, analytic geometry, polar coordinates, hyperbolic functions, infinite series, power series, and introduces ordinary differential equations.

Prerequisites: MATH 221.

Offered: Fall, Spring.

Meets: Natural Science: MATH

Explains vectors and parametric equations, vector functions and their derivatives, partial and directional derivatives, multiple integrals, vector analysis, Green's Theorem and Stokes' Theorem.

Prerequisites: MATH 222.

Offered: Fall.

Covers sets; the number system; Boolean algebra; formal logic and proofs; relations and functions; combinatorics and recurrence relations; graphs and trees. Cross-listed with: CSCI 231.

Prerequisites: MATH 112 with a C or better.

Offered: Fall, Spring.

Selected topics in mathematics will be examined.

Prerequisites: None.

Offered: Occasionally.

Introduction to linear algebra including systems of equations, matrices, determinants, vector spaces and linear transformations, and diagonalization.

Prerequisites: MATH 223; or MATH 222 and consent of instructor.

Offered: Fall.

Examines elementary propositional and predicate logic; language and axioms of set theory; operations on sets; well-orderings, ordinals, transfinite induction and recursion; cardinals; the axiom of choice; combinatorics; reading and writing of proofs in mathematics. Cross-listed with: PHIL 303.

Prerequisites: MATH 222; or PHIL 201 and consent of instructor.

Offered: Fall.

Covers elementary probability, random variables, properties of distributions, sampling, queuing theory, central limit theorem and law of large numbers. Cross-listed with: CSCI 309.

Prerequisites: MATH 221 with a C or better.

Offered: Spring.

The main mathematical methods and techniques of probability theory; random variables, expected values, variance, central limit theorem, parameter estimation and hypothesis testing.

Prerequisites: MATH 223.

Offered: Fall.

Examines first- and second-order differential equations and applications; higher-order linear differential equations; series solutions of second-order differential equations; Laplace transforms; matrix algebra, systems of equations, eigen values and eigenvectors; systems of differential equations; and partial differential equations.

Prerequisites: MATH 222.

Offered: Fall.

Permutations and combinations, graphs, trees, mathematical induction, propositional calculus, Mathematica and its applications in combinatorics, number theory and linear programming. Intended for students working for teaching certification in Mathematics.

Prerequisites: MATH 222.

Covers the fundamental notions of limits, continuity, uniform continuity, derivative, and integral. Examines infinite series with a study of convergence and uniform convergence.

Prerequisites: MATH 223, MATH 303.

Offered: Spring.

Introduction to axiomatic geometry including Euclidean, non-Euclidean, and projective geometries.

Prerequisites: MATH 222.

Prime numbers, fundamental theorem of arithmetic, congruence, quadratic residues and quadratic reciprocity, number theoretic functions and diophantine equations.

Prerequisites: MATH 222.

Surveys mathematical models, models involving differential equations, probabilistic models, Markovian-models, simulation, and Monte Carlo methods. Cross-listed with: CSCI 368.

Prerequisites: MATH 222; PHYS 241 or CSCI 130; or consent of instructor.

Offered: Yearly.

Introduces theory and practical use of certain basic numerical methods that often arise in applications. Covers numerical methods for solving linear and nonlinear equations, approximating functions, computing integrals, and derivatives.

Prerequisites: MATH 317 or consent of instructor.

Offered: Spring.

Main lines of mathematical development from the Babylonians, Egyptians and Greeks to the present day; the lives of great mathematicians: Euclid, Archimedes, Descartes, Newton, Gauss, Cantor.

Prerequisites: MATH 221 or consent of instructor.

Offered: Occasionally.

Explores traditional analytical and numerical methods enriched by modern mathematical developments and applications to various fields such as ocean and atmospheric sciences. Combines approximate forms of the basic mathematical equations of motion with analysis.

Prerequisites: MATH 223 and MATH 317.

Offered: Fall (odd years).

Examines elementary functions of a complex variable; analytic -functions; complex integrals and residue theory; conformal mapping; applications to electrostatics and hydrodynamics.

Prerequisites: MATH 223, MATH 303.

Offered: Spring.

A study of group theory which includes subgroups, normal subgroups, isomorphisms, quotient groups, Cayley's Theorem, and Lagrange's Theorem. Provides an introduction to ring theory which includes subrings, ideals and factor rings, and polynomial rings.

Prerequisites: MATH 301, MATH 303 or consent of instructor.

Offered: Fall.

Explores theory of topological spaces, metric spaces, continuous functions, connectedness, compactness, and manifolds.

Prerequisites: MATH 301 and MATH 350; or consent of instructor.

Offered: Occasionally.

Local theory of curves and surfaces, curvature tensors, and global theory of surfaces.

Prerequisites: MATH 301 and MATH 350.

Offered: Occasionally.

Intensive treatment of various specialized areas of mathematics.

Prerequisites: Instructor consent.

Offered: Occasionally.

Research and presentation of selected topics from the mathematical literature.

Prerequisites: Senior standing and consent of instructor.

Offered: Fall.

Prerequisites: Consent of instructor and department chair.

Offered: Occasionally.

A one-semester introduction to fundamental principles of physics, their experimental basis, and applications. For students who need an introductory course in physics. Not open to students with credit in PHYS 105 or 201. Three-hour lecture/demo; one-hour discussion.

Prerequisites: Completion of computational skills requirement or equivalent.

Offered: Fall, Spring.

Meets: Natural Science: PHYS

Mechanics, heat, and sound. Not recommended for students majoring in physical science or engineering. Not open to students with credit in PHYS 201. Three-hour lecture; one-hour discussion; three-hour lab. Enrollment in Lecture, Discussion, and a Lab required.

Prerequisites: MATH 113, MATH 114 or equivalent.

Offered: Fall.

Meets: Natural Science: PHYS

Electricity and magnetism, light and modern physics. Not open to students with credit in PHYS 202. Three-hour lecture; one-hour discussion; three-hour lab.

Prerequisites: PHYS 105.

Offered: Spring.

Explores astronomy for non-scientists with limited mathematics. Introduces the celestial sphere, constellations, and planets. Investigates topics such as solar system objects, cosmic distance scale, exoplanets, stellar evolution, galactic structure, and cosmology. Three-hour lecture.

Prerequisites: None.

Offered: Occasionally.

Meets: Natural Science: PHYS

Examines the astronomical views of Native Americans and looks at how mythos, science and discrimination intersect. Evaluates current cultural conflicts between science and native groups. Draws additional examples of the cultural development of astronomy and science from the Americas, Africa, Oceania, and Asia. Community-based learning designation. Cross-listed with: ETHN 120.

Prerequisites: None.

Offered: Fall, Spring.

Meets: Natural Science: PHYS, Ethnic Diversity, Community Based Learning

An introduction to the basic physical principles underlying music and musical instruments. Not for credit towards Physics major.

Prerequisites: None.

Offered: Fall.

Meets: Natural Science: PHYS

Investigates mechanics, heat, and sound. For physical science and engineering majors. Enrollment in Three-hour lecture; one-hour discussion; three-hour lab required.

Prerequisites: MATH 221 with C or higher or concurrent registration.

Offered: Fall, Spring.

Meets: Natural Science: PHYS

Investigates electricity and magnetism, geometrical optics, and physical optics. For physical science and engineering majors. Enrollment in Three hour lecture; one-hour discussion; three-hour lab required.

Prerequisites: PHYS 201; MATH 222 or concurrent registration.

Offered: Fall, Spring.

Special relativity. Elements of quantum mechanics. Introduction to atomic, molecular, solid state, nuclear, and particle physics. Three-hour lecture.

Prerequisites: PHYS 202.

Offered: Fall.

Studies programming in MATLAB and another high-level language, such as Python, with applications to science and engineering.

Prerequisites: PHYS 201; MATH 221 or consent of instructor.

Offered: Spring.

Special topics in physics will be examined.

Prerequisites: Consent of instructor.

Offered: Occasionally.

Introduces students to branches and interdisciplinary fields of physics; experimental, theoretical, and computational. Emphasizes the breadth of applicability of physics as well as current areas of interest, through note-taking, discussions, and other resources. Leads to individual student oral presentation on physics topic of choice.

Prerequisites: PHYS 202 or concurrent enrollment; or consent of instructor.

Offered: Fall.

Second research seminar course. Introduces students to branches and interdisciplinary fields of physics; experimental, theoretical, and computational. Emphasizes the breadth of applicability of physics as well as current areas of interest, through note-taking, discussions, and other resources. Leads to individual student written presentation on physics topic of choice.

Prerequisites: PHYS 202 or concurrent enrollment; or consent of instructor.

Offered: Spring.

Vector analysis, conservation laws, planetary motion, rigid body dynamics, free and forced oscillations, normal coordinates, moving coordinate systems, generalized coordinates, Lagrangian and Hamiltonian formulations. Continuum mechanics. Four-hour lecture.

Prerequisites: PHYS 201 and PHYS 202 with a grade of C or better; MATH 317, or concurrent registration or consent of instructor.

Offered: Fall (even years).

Examines electrostatics, magnetostatics, and electromagnetic fields through Maxwell's equations with basic applications. Includes radiation, Lienard-Wiechert potentials, sources of radiation, antenna theory, scalar diffraction theory and wave optics for transparent or conductive media. Four-hour lecture.

Prerequisites: PHYS 201 and PHYS 202 with grades of C or better; MATH 317 or concurrent registration; or consent of instructor.

Offered: Spring.

Introduces computational physics with applications to classical mechanics, electromagnetism, and quantum mechanics. Monte Carlo methods. Introduction to molecular dynamics. Three-hour lecture.

Prerequisites: PHYS 201 and PHYS 202 with a grade of C or better; PHYS 205; MATH 223, PHYS 241, or consent of instructor.

Offered: Spring.

Covers advanced experiments in optics, atomic, molecular, solid state, and nuclear physics. Analog electronics through transistors and op-amps. Basic digital electronics. Six-hour lab.

Prerequisites: PHYS 201 and 202 with a grade of C or better; PHYS 205.

Offered: Spring (odd years).

Applies mathematical methods to physical sciences with emphasis on physics. Covers a wide range of mathematical methods, including vector and tensor analysis and coordinate transformations, complex variables, Fourier series and integral transforms, Sturm-Liouville systems and orthogonal functions, partial differential equations, calculus of variations, and probability and statistics.

Prerequisites: MATH 223 and 317.

Offered: Fall (even years).

Examines laws of thermodynamics, and equations of state and state variables to describe thermodynamic systems at or near equilibrium. Covers Legendre transformations and thermodynamic potentials, Maxwell relations, and phase transformations. Investigates applications of thermodynamics such as heat engines, refrigerators, and liquefaction of gases under extreme conditions.

Prerequisites: PHYS 201, PHYS 202 with grades of C or better; MATH 223, MATH 317.

Offered: Spring.

Delves into classical and quantum statistical mechanics: Maxwell-Boltzmann speed distribution, partition functions, statistical ensembles, black body radiation, Debye theory of solids, Fermi and Bose gases, and the Ising model.

Prerequisites: PHYS 403 or consent of instructor.

Offered: Fall.

Explores quantum mechanics, free particle in wave mechanics, particles in one-dimensional potentials, axiomatic foundations of quantum mechanics, the evolution of states in time, particles in three dimensions, angular momentum, central potentials. Introduces the concept of spin and the exclusion principle, and the Dirac equation with its associated henomenology. Four-hour lecture.

Prerequisites: PHYS 201 and PHYS 202 with grades of C or better; PHYS 205; MATH 301 and MATH 317 or MATH 401; or consent of instructor.

Offered: Spring (odd years).

Examines special topics in physics.

Prerequisites: PHYS 201 and PHYS 202 with grades of C or better and consent of instructor.

Offered: Occasionally.

Work in a physics-related position under joint supervision of a physics faculty and a member of the sponsoring public or private organization. Consent of instructor and department chair.

Prerequisites: PHYS 201 and PHYS 202 with C or better in each; GPA of 2.5 or higher.

Offered: Fall, Spring, Summer.

Provides opportunity for a directed study of a current topic in physics.

Prerequisites: PHYS 201 and PHYS 202 with C or better in both; junior or senior standing.

Offered: Fall, Spring.

Investigates advanced topics in physics.

Prerequisites: PHYS 201 and PHYS 202 with C or better; and consent of instructor.

Offered: Occasionally.

Investigates advanced topics in physics.

Prerequisites: PHYS 201 and PHYS 202 with C or better; consent of instructor and department chair.

Offered: Occasionally.

Discusses vectors, equilibrium of a particle, resultants of force systems, equilibrium of rigid bodies in two and three dimensions, structural analysis, friction, centroids, and moments of inertia. Required for the pre-engineering articulation agreement with UW-Milwaukee.

Prerequisites: MATH 221 with a grade of C or better, concurrent registration in MATH 222.

Offered: Spring.

Covers motion and the laws of motion in different dimensions of space using various orthogonal curvilinear coordinates; relative motion; work and energy; conservative forces and potential energy; conservation of linear and angular momentum; and rigid body motion. Required for the pre-engineering articulation agreement with UW-Milwaukee.

Prerequisites: MATH 222 with a C or better, PENG 211; concurrent registration in Math 223.

Offered: Fall.

Covers circuit laws and analysis, restrictive circuits, energy storage, AC circuits and power, three-phase circuits, and computer-aided analysis. Required for the pre-engineering articulation agreement with UW-Milwaukee.

Prerequisites: PHYS 202 with a grade of C or better.

Offered: Fall.

Introduces materials science and engineering. Covers the structure and basic properties of various engineering materials, including metals and alloys, ceramics, plastics, and composite materials. Includes laboratory work.

Prerequisites: CHEM 101, MATH 222 and PHYS 202.

Offered: Fall.

Covers fundamentals of computer aided design (CAD), solid modeling, engineering drawings, dimensioning and specifications.

Prerequisites: MATH 112 and 113; or MATH 114.

Offered: Spring.