# Department of Mathematics and Physics

## Department Mission Statement

The Department of Mathematics and Physics at Azusa Pacific University:

- Offers undergraduate programs in mathematics, applied mathematics, physics, and statistics, as well as a single-subject waiver for a teaching credential in mathematics;
- Provides General Education mathematics and science courses consistent with the outcomes of a liberal arts education; and
- Prepares students for graduate study or success in their chosen careers.

## Math and Physics Fellowships

Each year, the Department of Mathematics and Physics awards two four-year fellowships to incoming freshmen. For more information, contact the department at (626) 815-6470 or mathphysics@apu.edu.

## Mathematics Placement

APU uses the ALEKS PPL system to determine the best initial math placement for most students who need to take a math course (whether to satisfy the General Education Quantitative Literacy requirement or a major or minor requirement). Students who need to use ALEKS are encouraged to take an initial diagnostic assessment at home and then to work in their personalized Prep and Learning Module to review. They will then be able to retake the assessment up to three times by scheduling a proctored retake appointment with the Learning Enrichment Center.

### Math Course Prerequisites

Prerequisites for common math courses are listed in the following table:

Course(s) | Prerequisite(s) |
---|---|

MATH 90: Elementary Algebra | ALEKS 15-29 |

MATH 95: Intermediate Algebra | ALEKS 30-44 or MATH 90 |

MATH 99: Self-Paced Mathematics Lab | ALEKS 0-44 |

MATH 115: Analytical Inquiry MATH 120: Contemporary Mathematics | ALEKS 40-59 or MATH 95 |

MATH 110: College Algebra MATH 130: Introduction to Statistics UNRS 299: Statistics for Nursing | ALEKS 45-100 or MATH 95 |

MATH 150: Precalculus MATH 151: Applied Calculus I | ALEKS 60-100 or MATH 110 |

MATH 161: Calculus I | ALEKS 75-100 or MATH 150 |

### Math Test Score Equivalents

The table below shows how various test scores translate into APU math placement and/or course credit.

Scores | Results |
---|---|

- SAT Math (640 or higher on NEW version)
- SAT Math (620 or higher on OLD version)
- ACT Math (27 or higher)
- High School Calculus (at least one semester with a grade of B or higher)
- High School Precalculus (at least one semester with a grade of A- or higher)
| Treated as if you have passed MATH 110 College Algebra at the level of B- or higher |

- CLEP College Algebra, Precalculus, or Calculus (50)
- IB Mathematics (5, 6, or 7)
- AP Calculus AB or BC (3, 4, or 5)
| Treated as if you have passed MATH 110 College Algebra at the level of B- or higher; credit granted |

- AP Statistics (3, 4, or 5)
| Credit granted for MATH 130 Introduction to Statistics |

- ALEKS (65 - 100)
| Treated as if you have passed MATH 110 College Algebra at the level of a B- or higher |

- ALEKS (60 - 64)
| Treated as if you have passed MATH 110 College Algebra at the level of C or higher (fails to meet the grade minimum of B- required as a prerequisite for CHEM 151 or to apply to any of the majors in the School of Business and Management other than the B.A. in Business Management) |

**MATH 90, Elementary Algebra, 3 Units**

This course prepares students for Intermediate Algebra. Topics include properties and operations of the real number system, algebraic expressions, solving equalities and inequalities, graphical representation of equations, data analysis, and properties and operations of polynomials. This course does not meet the General Education Quantitative Literacy requirement and does not count toward total units needed for graduation.

**Prerequisite: **An appropriate score on the APU mathematics proficiency exam.

**MATH 95, Intermediate Algebra, 3 Units**

This course prepares students for the General Education Quantitative Literacy courses. Topics include linear graphs, mathematical models, systems of equations in two and three variables, multiplying and factoring polynomial functions, rational and radical expressions and functions, complex numbers, quadratic equations, and mathematical modeling with quadratic functions. This course does not meet the General Education Quantitative Literacy requirement and does not count toward total units needed for graduation.

**Prerequisite: **MATH 90 or an appropriate score on the APU mathematics placement assessment

**MATH 99, Self-paced Mathematics Lab, 1 Unit**

This course is an alternative to MATH 90 or MATH 95 for students who prefer an individualized developmental math experience. An adaptive online learning system enables students to skip topics they have already mastered and to work at their own pace on the topics they need to learn, with support from a faculty member. The goal is to help students try to test out of MATH 90 and/or MATH 95 in order to accelerate their path toward a General Education Quantitative Literacy course. This course does not meet the General Education Quantitative Literacy requirement and does not count toward total units needed for graduation.

**Prerequisite: **ALEKS math placement score of 0-44 (or no ALEKS score)

**MATH 100, Mathematics Seminar I, 1 Unit**

An exploration of the historical interactions between Christian faith and the development of science and mathematics. The course begins with several short guest lectures introducing the questions that animate various fields of mathematical inquiry. Readings and seminar discussions then focus on three questions: "When, how, and why did people find mathematics in nature?", "Why is there so much mathematics in nature?", and "Can everything be explained by mathematics?" The course concludes with student presentations on the role of faith in the life and work of certain famous mathematicians and scientists.

**MATH 110, College Algebra, 3 Units**

A study of basic college algebra, including various elementary functions (linear, polynomial, rational, radical, exponential, and logarithmic), their properties and graphs, and equations and systems of equations. Emphasis is placed on using algebraic concepts to model and analyze real-world phenomena. *Meets the General Education Requirement: Quantitative Literacy (Math). *

**Prerequisite: **MATH 95 or an appropriate score on the APU mathematics placement assessment

**MATH 115, Analytical Inquiry, 3 Units**

A study of practical applications of mathematics. This course is case-study driven and includes projects on obtaining auto insurance and loans, how inflation affects the economy, etc. A student who has passed a more advanced mathematics course may not enroll in this course. *Meets the General Education Requirement: Quantitative Literacy (Math). *

**Prerequisite: **MATH 95 or an appropriate score on the APU mathematics placement assessment

**MATH 120, Contemporary Mathematics, 3 Units**

An overview of various mathematical topics and their connections to modern society. Topics differ from those covered in the typical school mathematics sequence and may include voting theory, graphs and networks, modular arithmetic, symmetry, statistics and probability, infinity and cardinality, fractals and chaos, and others. Emphasis is placed on conceptual understanding, solid reasoning, and clear communication, rather than on algebraic manipulation. *Meets the General Education Requirement: Quantitative Literacy (Math). *

**Prerequisite: **MATH 95 or an appropriate score on the APU mathematics placement assessment

**MATH 130, Introduction to Statistics, 3 Units**

An introduction to the basic concepts and practices of statistics, including frequency distributions, graphs, central tendency, variation, probability, the binomial, normal, t, and chi-square distributions, confidence intervals, hypothesis testing, correlation, regression, and ANOVA. *Meets the General Education Requirement: Quantitative Literacy (Math). *

**Prerequisite: **MATH 95 or an appropriate score on the APU mathematics placement assessment

**MATH 150, Precalculus, 3 Units**

This course prepares students for the calculus sequence. Topics include number systems, analytic geometry, elementary function theory (including logarithmic and trigonometric functions), and basic proof techniques.

**Prerequisite: **MATH 110 or an appropriate score on the APU mathematics placement assessment

**MATH 151, Applied Calculus I, 3 Units**

An introduction to the calculus of a single variable with a focus on applications. Topics include elementary functions (linear, exponential, logarithmic, power, and periodic), differentiation, and optimization.

**Prerequisite: **MATH 110 or an appropriate score on the APU mathematics placement assessment

**MATH 151H, Applied Calculus I - Honors, 3 Units**

This calculus course is designed for students in business, biology, and other fields that require more focus on applications, rather than mathematical rigor in a calculus course. Included are differentiation and integration of algebraic functions and their applications, and an introduction to exponential and logarithmic functions.

**Prerequisite:** MATH 110 or equivalent. Must also be a student admitted to the Honors Program and be considered a member in "active" status.

**MATH 152, Applied Calculus II, 3 Units**

A continuation of MATH 151 combining further study of calculus with an introduction to probability and statistics. Problem solving in the biological sciences is emphasized. Topics include integration, substitution, separable differential equation solutions and equilibria, discrete-time dynamical systems, probability, and the descriptive statistics of discrete and continuous random variables.

**Prerequisite: **MATH 151

**MATH 161, Calculus I, 5 Units**

This course is an introduction to the basic techniques of calculus of one variable, including limits and continuity, differentiation and integration, and graphing and applications.

**Prerequisite: **MATH 150 or an appropriate score on the APU mathematics placement assessment

**MATH 162, Calculus II, 4 Units**

A continuation of MATH 161. Topics include the calculus of exponential, trigonometric, and hyperbolic functions and their inverses, integration methods, arc length and surface area, parametric and polar curves, sequences, and series.

**Prerequisite: **MATH 161 with a C- or better

**MATH 200, Mathematics Seminar II, 1 Unit**

An exploration of the value and purpose of mathematical work. Students engage with Christian perspectives on the value of work and culture in general, then assess a variety of viewpoints regarding the value of mathematical work in particular. These readings and conversations prepare students to develop and articulate an understanding of how mathematics could contribute to their personal vocation, calling, or life purpose.

**Prerequisite: **Math 100

**MATH 201, Mathematics Concepts for Elementary Teachers, 3 Units**

The course provides the foundations of modern mathematics needed by the elementary school teacher. It is not a methods course, but a prerequisite to the Multiple-Subject Teaching Credential Program. This course does not count toward a mathematics major or minor.

**Prerequisite: **MATH 110 or equivalent

**MATH 250, Data Analysis, 3 Units**

This course features hands-on experience using statistical tools to answer real-world questions. Students design and implement a short survey and analyze their results. Emphasis is on analysis of actual survey data using statistical software. Statistical topics include numerical/graphical summaries, measures of association, and statistical techniques to include chi-square tests, t-tests, ANOVA, and regression. Focus is on interpretation, not calculation.

**MATH 263, Multivariable Calculus, 4 Units**

An introduction to the calculus of several variables. Topics include vectors, lines, and planes in three dimensions, vector-valued functions, partial and directional derivatives, Lagrange multipliers, multiple integration in rectangular, polar, cylindrical, and spherical coordinate systems, vector fields, line integrals, Green's Theorem, curl and divergence, surface integrals, Stokes' Theorem, and the Divergence Theorem.

**Prerequisite: **MATH 162

**MATH 270, Ordinary Differential Equations, 4 Units**

An introduction to ordinary differential equations and their applications. Topics include first and second order equations, Laplace transform, systems of differential equations, phase plane analysis, numerical methods, and Sturm-Liouville boundary value problems.

**Prerequisite: **MATH 263 or Instructor's consent

**MATH 280, Discrete Mathematics and Proof, 3 Units**

Lecture, 3 hours; Discussion, 1 hour: A rigorous introduction to discrete mathematics with an emphasis on problem solving and proof writing. This course prepares students to construct valid mathematical arguments in upper-division courses. Topics include mathematical logic and set theory, direct and indirect proof, proofs with conjunctions, disjunctions, and quantifiers, relations, equivalence relations and partitions, functions and invertibility, and mathematical induction.

**Prerequisite: **MATH 161

**MATH 290, Linear Algebra, 3 Units**

An introduction to matrix algebra, vector spaces, and linear transformations. Topics include systems of linear equations, subspaces, linear independence, bases and dimension, abstract vector spaces, orthogonality, least-squares methods, inner product spaces, determinants, eigenvalues, and diagonalization.

**MATH 295, Applied Linear Algebra, 3 Units**

An introduction to the analysis of numerical algorithms in linear algebra computations, including solution of linear systems, QR decomposition, singular value decomposition, and computation of eigenvalues and eigenvectors.

**Prerequisite: **MATH 162

**MATH 301, Mathematics for Secondary Teachers, 3 Units**

A survey of the foundations of mathematics essential to the secondary school teacher. This course integrates secondary mathematics concepts with problem-solving strategies and technology. Students expand on their understanding of core math concepts, evaluate lesson plans used in secondary school mathematics, discuss and reflect on effective mathematics pedagogy, analyze readings in the field, engage in collegial interactions with the instructor and fellow students, and develop a repertoire of classroom-tested lessons that can be used in a high school classroom.

**MATH 340, Geometry, 3 Units**

A study of Euclidean and hyperbolic geometries and their transformations and models. Students learn to write proofs within an axiomatic system and to form conjectures using interactive geometry software.

**Prerequisite: **MATH 162 or Instructor's consent

**MATH 350, Statistical Models, 3 Units**

A study of investigative statistics emphasizing the process of data collection and data analysis relevant for science, social science, and mathematics students. The course incorporates case studies from current events and interdisciplinary research, taking a problem-based approach to learn how to determine which statistical techniques are appropriate. Topics include nonparametric tests, designing an experiment, multiple regression models, and Bayesian data analysis. Ethics in data analysis and reporting will be considered from a Christian perspective. Additionally, the course includes learning to program using a statistical software package.

**Prerequisite: **MATH 250

**MATH 361, Probability and Statistics I, 3 Units**

An introduction to probability and the theory and application of statistics. Topics include probability spaces, counting methods, discrete and continuous distributions, moments, conditional distributions, correlation, the Central Limit Theorem, estimation, and hypothesis testing.

**Prerequisite: **MATH 162

**MATH 362, Probability and Statistics II, 3 Units**

A continuation of MATH 361. This course develops additional applications of statistics, including estimation, hypothesis testing, and single and multiple linear regression. Nonparametric and Bayesian methods are introduced.

**Prerequisite: **MATH 361

**MATH 370, Partial Differential Equations, 3 Units**

An introduction to Fourier analysis and analytical techniques for solving partial differential equations, with application to physical phenomena.

**MATH 375, Dynamical Systems, 3 Units**

An introduction to phase plane analysis of first order differential equations and to bifurcations in continuous and discrete systems, with application to various branches of science.

**Prerequisite: **MATH 270

**MATH 390, Number Theory, 3 Units**

A study of elementary number theory, with an overview of the history of mathematics. Number theory topics include primes, divisibility, factorization, Diophantine problems, residue systems, theorems of Fermat and Euler, and continued fractions.

**Prerequisite: **MATH 280

**MATH 400, Abstract Algebra, 3 Units**

An introduction to groups and rings. Group theory topics include subgroups, cyclic groups, permutation groups, cosets and normal subgroups, factor groups, and homomorphisms. Ring theory topics include subrings and ideals, integral domains and fields, factor rings, and homomorphisms.

**Prerequisite: **MATH 280 with a C- or better

**MATH 430, Mathematical Methods for Physics and Engineering, 3 Units**

Students learn mathematical methods and their applications to physics problems. Topics include series, complex numbers, linear algebra, generalized vector spaces, vector calculus, special functions, Fourier series, and boundary value problems. The course may be applied towards upper-division physics or mathematics major requirements.

**MATH 450, Real Analysis, 3 Units**

An advanced study of the real number system. Topics include completeness, convergence of sequences and series, topology of the real line, continuity, the Intermediate Value Theorem, differentiation, and the Mean Value Theorem.

**Prerequisite: **MATH 280 with a C- or better

**MATH 455, Numerical Analysis, 3 Units**

Approximation methods and their applications to computers are covered, including error analysis, zeros of functions, systems of equations, numerical integration, and differentiation. Applications are programmed using an appropriate language.

**MATH 460, Topology, 3 Units**

An introduction to topological spaces and their applications. Topics include bases, interior closure, subspace, product, and quotient topologies, continuity and homeomorphisms, metric spaces, connectedness, and compactness, with application to genetics, geography, robotics, and error-correcting codes. Additional topics chosen from homotopy theory, knot theory, and compact surfaces.

**Prerequisite:** MATH 450

**MATH 470, Complex Analysis, 3 Units**

An introduction to the calculus of functions of one complex variable. Topics include elementary functions, limits, differentiability, series, contour integrals, Cauchy's theorem, conformal mapping, and selected applications.

**Prerequisite: **MATH 263 or Instructor's consent

**MATH 480, Mathematical Reading, Writing, and Presentation, 3 Units**

In this seminar, students critically analyze journal articles in the field, receive writing instruction, write research and argumentative papers, and prepare effective mathematical presentations. *Meets the General Education Requirement: Writing 3: Writing in the Disciplines. *

**Prerequisite: **Junior or Senior Standing

**MATH 495, Advanced Topics in Mathematics, 1-3 Units**

This course engages students in focused study of an advanced topic which is not covered in the regular curriculum. The topic varies from semester to semester based on student interest. Possible topics include differential geometry, combinatorics, mathematical modeling, advanced linear algebra, game theory, cryptology, etc. This course may be taken more than once as the topic changes.

**Prerequisite(s)** will vary depending upon the topic.

**MATH 496, Senior Seminar, 3 Units**

This senior seminar course prepares students to understand and express a Christian perspective on issues critical to the mathematics profession. Biblical, theological, and philosophical themes relating to the development and application of mathematics provide a base, while historical biographies and examples supply a context in which students generate a distinctively Christian response to contemporary problems facing a post-modern world. *Meets the General Education Requirement: Integrative and Applied Learning. *

**Prerequisites:** Senior standing, completion of the majority of the units required for God's Word and the Christian Response, and upper-division writing intensive course.

**MATH 497, Readings, 1-4 Units**

This is a program of study concentrating on assigned readings, discussions, and writing arranged between and designed by a student of upper-division standing and a full-time professor. An independent study fee is assessed for each enrollment in this class.

**MATH 498, Directed Research, 1-4 Units**

This course provides instruction in research design and technique, and gives students experience in the research process. The 1-unit expectation encompasses no fewer than 30 hours of work with accompanying reading, log, writing, and seminar presentation within the department or in a university research symposium. No more than 1 unit may be used to fulfill preparatory readings requirement. An independent study fee is assessed for each enrollment in this class.

**Prerequisite: **Junior or Senior Standing

**MATH 499, Thesis/Project, 1-4 Units**

This is a senior-level "capstone" type of independent study/research experience, involving the student in a unique project with a sophisticated level of research, synthesis, analysis, and communication. The 1-unit expectation encompasses no fewer than 30 hours of work with accompanying readings, log, instructor discussions, and writing of summary analysis and conclusions. The thesis or project may result in formal thesis, published article, or electronic media. No more than 1 unit may be used to fulfill preparatory readings requirement. An independent study fee is assessed for each enrollment in this class.

**Prerequisites:** upper-division writing intensive course completed or instructor's permission; and junior or senior standing.

**PHYC 100, Conceptual Physics, 2 Units**

This course covers the topics of mechanics, heat, sound, light, electricity and magnetism, an introduction to relativity, and quantum mechanics. Physics concepts and thinking skills are emphasized instead of mathematics. Does not meet the General Education requirement.

**PHYC 110, Principles of Physical Science, 3 Units**

Basic concepts in physics, chemistry, and the solar system are investigated. Emphasis is placed on basic principles and their applications to modern technology and everyday experiences. Some problems requiring simple math are discussed and solved, but detailed mathematical derivations are more appropriate in other courses. Part of this course is also committed to reviewing historical developments of scientific thought, examining the perceived conflict between science and Christianity, and analyzing evidence for a Creator from scientific discoveries. This course does not carry credit toward a science major or minor. *Meets the General Education Requirement: Natural Science (PHYC 110 + PHYC 111). *

**PHYC 111, Physical Science Laboratory, 1 Unit**

Concepts in physics and chemistry are investigated in a small-group, hands-on environment. Laboratory topics include a survey of the solar system, mechanics (forces and motion), optics, electricity, spectroscopy, nuclear radiation, and chemical reactions. This course does not carry credit toward a science major or minor.*Meets the General Education Requirement: Natural Science (PHYC 110 + PHYC 111). *

Special Fee Applies

**PHYC 115, Physical Science for Teachers, 3 Units**

This course focuses on three fundamental concepts of physics: conservation of energy, Newton's laws, and waves. Students will engage in practices of science such as performing experiments, collecting and analyzing data, developing models, and writing and evaluating explanations. Students will also examine the nature of science and learning. Course content is aligned with content, practices, and cross-cutting concepts of the Next Generation Science Standards. This course is intended for Liberal Studies majors and does not meet the APU General Education requirement in Natural Science.

**PHYC 125, Earth Science Concepts and Applications, 3 Units**

This course surveys Earth both inside and out. Topics investigated include Earth's solid surface and interior, the oceans, and Earth's atmosphere and weather patterns. Emphasis is placed on dynamic processes, including human activity that affects the nature of Earth's surface. Students also explore Earth's place in the solar system, the Sun, the stars, and exotic bodies beyond the solar system. Does not meet the APU General Education requirement in Nature.

**PHYC 130, Earth Science, 4 Units**

Lecture, 3 hours; Lab, 3 hours: Students survey the physical characteristics of the Earth and the forces acting upon it. The course includes consideration of the Earth's place in space, the nature of its crust and interior, the processes that affect its structure, and humanity's role in the processes.*Meets the General Education Requirement: Natural Science. *

Special Fee Applies

**PHYC 140, Introduction to Astronomy, 4 Units**

Lecture, 3 hours; Lab, 3 hours: This course introduces the history of astronomy, the solar system, the stellar systems, galactic systems, and cosmology. A lab is included.*Meets the General Education Requirement: Natural Science. *

Special Fee Applies

**PHYC 151, Physics for Life Sciences I, 4 Units**

Lecture, 3 hours; Lab, 3 hours: This noncalculus physics course develops the topics of translational and rotational mechanics and provides an introduction to thermodynamics.*Meets the General Education Requirement: Natural Science. *

Special Fee Applies

**Prerequisite: **MATH 110 or an equivalent score on the APU mathematics placement assessment. High school geometry and trigonometry are highly recommended.

**PHYC 152, Physics for Life Sciences II, 4 Units**

Lecture, 3 hours; Lab, 3 hours: This noncalculus physics course develops the topics of waves, sound, light, electricity and magnetism, quantum theory, and structure of matter.

Special Fee Applies

**Prerequisite:** PHYC 151

**PHYC 161, Physics for Science and Engineering I, 5 Units**

Lecture, 4 hours; Lab, 3 hours: Students are introduced to the various areas of physics using basic differential and integral calculus. Topics covered include kinematics, Newton's laws, conservation of energy, conservation of momentum, and rotation.*Meets the General Education Requirement: Natural Science. *

Special Fee Applies

**Corequisite:** MATH 161 or equivalent calculus background; high school physics or university-level conceptual physics strongly recommended.

**PHYC 162, Physics for Science and Engineering II, 5 Units**

Lecture, 4 hours; Lab, 3 hours: Students are introduced to the various areas of physics using basic differential and integral calculus. Topics covered include oscillations, electricity and magnetism.

Special Fee Applies

**Prerequisite:** PHYC 161 and MATH 162 (may be taken concurrently)

**PHYC 263, Physics for Science and Engineering III, 5 Units**

Lecture, 4 hours; Lab, 3 hours: Students are introduced to various aspects of physics using basic differential and integral calculus. Topics covered include thermodynamics, special relativity, vibrations and waves, optics, and nuclear and modern physics.

Special Fee Applies

**Prerequisites:** PHYC 162

**PHYC 300, Physics Research Seminar, 1 Unit**

This course surveys the major fields of modern physics research in a seminar format, with special attention to how physicists identify research questions and plan for research. The course culminates in a research proposal for the student's thesis. *Meets the General Education Requirement: Integrative and Applied Learning. *

**Prerequisite: **PHYC 263

**PHYC 361, Electricity and Magnetism, 3 Units**

Students study the fundamental concepts of electricity and magnetism, electrostatic fields in a vacuum and dielectric materials, solutions of Laplace's and Poisson's equations, and electromagnetic waves.

**PHYC 370, Waves and Optics, 3 Units**

Students study mechanical and electromagnetic waves and explore topics such as geometric optics, wave propagation, interference, diffraction, polarization, coherence, holography, and topics from nonlinear optics.

**Prerequisites:** PHYC 263, MATH 270 and MATH 263 (may be taken concurrently)

**PHYC 380, Classical Mechanics, 3 Units**

This course applies mathematical methods to the study of the general motion of particles and includes Newtonian and Lagrangian mechanics. It includes the study of projectiles experiencing linear and quadratic resistance, damped and driven oscillations, two-body central force motion, and rigid body rotational motion. This is a part of the core physics program.

**PHYC 401, Thermodynamics, 3 Units**

Students learn the theoretical basis of classical thermodynamics and statistical mechanics including the zeroth, first, second, and third laws. These laws are applied to equilibrium systems such as ideal gases, heat engines, chemical reactions, and phase transitions.

**Prerequisite:** PHYC 263 and MATH 263 (may be taken concurrently)

**PHYC 430, Mathematical Methods for Physics and Engineering, 3 Units**

Students learn mathematical methods and their applications to physics problems. Topics include series, complex numbers, linear algebra, generalized vector spaces, vector calculus, special functions, Fourier series, and boundary value problems. The course may be applied towards upper-division physics or mathematics major requirements.

**PHYC 440, Quantum Mechanics, 3 Units**

Students are introduced to the time-dependent and time-independent Schrodinger equations. The Schrodinger equation is solved for examples including potential wells and barriers, harmonic oscillators, and hydrogen atoms. These examples illustrate the concepts of quantization of energy and angular momentum, tunneling, wave properties of particles, and the uncertainty principle.

**Prerequisites:** MATH 270 and PHYC 370, or Instructor's consent

**PHYC 470, Writing 3: Advanced Laboratory, 3 Units**

This course prepares students for writing scientific journal articles and presenting scientific results to a technical audience. This course also acquaints students with advanced laboratory and analysis techniques. Activities include instruction and practice in scientific writing and presenting scientific information orally.*Meets the General Education Requirement: Writing 3: Writing in the Disciplines. *

Special Fee Applies

**Prerequisite: **PHYC 263, Writing 2, and junior or senior standing, or Instructor's consent

**PHYC 497, Readings, 1-4 Units**

This is a program of study concentrating on assigned readings, discussions, and writing arranged between and designed by a student of upper-division standing and a full-time professor. An independent study fee is assessed for each enrollment in this class.

**PHYC 498, Directed Research, 1-4 Units**

This course provides instruction in research design and technique, and gives students experience in the research process. The 1-unit expectation encompasses no fewer than 30 hours of work with accompanying reading, log, writing, and seminar presentation within the department or in a university research symposium. No more than 1 unit may be used to fulfill preparatory readings requirement. An independent study fee is assessed for each enrollment in this class.

**Prerequisite: **Junior or Senior Standing

**PHYC 499, Physics Thesis, 1-4 Units**

The student engages in an original research project in collaboration with a faculty member. Projects may be experimental, theoretical, or computational in nature. Projects will expand upon learning from previous courses in the major and apply that learning to make a novel contribution to the field. Successful completion of the course will result in completion of a journal-style article and/or professional-level poster presentation. *Meets the General Education Requirement: Integrative and Applied Learning. *

**Prerequisite: **PHYC 300

## Faculty

**Chair**

Bryant Mathews, Ph.D., Mathematics

**Professors**

Mark Arvidson, Ph.D., Mathematics

Christopher Bassey, Ph.D., Physics

Bradley McCoy, Ph.D., Physics

Rodney Sturdivant, Ph.D., Mathematics

**Associate Professors**

Edwin Ding, Ph.D., Mathematics

Timothy Heumier, Ph.D., Physics

Bryant Mathews, Ph.D., Mathematics

Sharon McCathern, Ph.D., Mathematics

Theodore Szeto, Ph.D., Associate Dean

**Assistant Professors**

Enson Chang, Ph.D., Physics

Andre Harmse, Ph.D., Mathematics

**Lecturer**

Elizabeth Rivas, M.A., Mathematics

**Affiliated Faculty**

Kathleen Bacer, Ed.D., Mathematics

Donald Isaak, Ph.D., Physics

**Adjunct Faculty**

Lynette Blakely, M.A.

Robert Campbell, M.A.

Brian Croissant, M.S.

Mathew Duvall, M.A.

Terri Gale, M.A.

John Hitchcock, MST

Stephen Ichiriu, Ph.D.

Tricia McCorkle, M.A.

Douglas McElroy, Ph.D.

Matt Micek, M.A.

Derek Morrison, M.A.

Steven Moser, M.S.

Leonard Popp, M.S.

Yeojin Rho, M.A.

Peter Smart, M.A.