Appreciation of the beauty and power of mathematics through the examination of its nature, development, utility, and relationship with culture and society. 3 hrs (class). PR. None. (1,2)
Applied Mathematics
AMAT 19 (3) Finite Mathematics. An introduction to the concepts of logic, probability, mathematical programming, theory of games and graph. 3 hrs (class). PR. None. (1, 2)
AMAT 105 (3) Matrices and Application. Properties, operations, and applications of matrices. 3 hrs (class). PR. MATH 28 or MATH 38. (1,2)
AMAT 110 (3) Mathematical Modeling. Principles, methods and applications of mathematical modeling. 3 hrs (class). PR. MATH 27 or MATH 37. (1)
AMAT 112 (3) Introduction to Mathematical Optimization. A survey of major techniques in the mathematical modeling of optimization problems. 3 hrs (class). PR. MATH 28 or MATH 38 and AMAT 110. (2)
AMAT 115 (3) Introduction to Mathematical Decision Theory. Fundamental concepts of quantitative decision-making. 3 hrs (class). PR. AMAT 105 and AMAT 110. (2)
AMAT 152 (3) Fundamentals of Mathematical Computing. Theory and applications of mathematical computing. 5 hrs (2 class, 3 lab). PR. MATH 28 or MATH 38. (1,2)
AMAT 160 (3) Linear Programming. Formulation, computation, solutions, and applications of linear programming. 3 hrs (class). PR. AMAT 105 and AMAT 110. (1)
AMAT 161 (3) Non-Linear Programming. Formulation, computation, solutions, and applications of nonlinear programming. 3 hrs (class). PR. AMAT 105 and AMAT 110. (2)
AMAT 162 (3) Integer and Dynamic Programming. Survey of integer and dynamic programming techniques. 3 hrs (class). PR. AMAT 160. (2)
AMAT 163 (3) Metaheuristics. Metaheuristics and their implementation to solve real-world optimization problems. 3 hrs (class). PR. AMAT 110. (1)
AMAT 167 (3) Mathematical Models in Operations Research I. Survey and analysis of mathematical models used in inventories, queues, maintenance of systems, and project management. 3 hrs (class). PR. AMAT 110. (1)
AMAT 168 (3) Mathematical Models in Operations Research II. Survey and analysis of mathematical models used in transportation planning, facility layout and location, finance and investment, and performance evaluation of systems. 3 hrs (class). PR. AMAT 160. (2)
AMAT 170 (3) Theory of Interest. Principles, methods, and applications of the theory of interest. 3 hrs (class). PR. MATH 27 or MATH 37. (1, 2)
AMAT 171 (3) Life Insurance Mathematics I. Mortality, life annuities, life insurance policies and net premiums, methods of valuation, modified and net level reserves, nonforfeiture options, and gross premiums. 3 hrs (class). PR. AMAT 170. (1)
AMAT 172 (3) Life Insurance Mathematics II. Mathematical theory of contingencies of single and multiple lives. 3 hrs (class). PR. AMAT 171. (2)
AMAT 174 (3) Measurement of Mortality. Theory and methods of measuring mortality. 3 hrs (class). PR. AMAT 172. (1)
AMAT 176 (3) Actuarial Science. Investment of life insurance funds, selection of risks and reinsurance, valuation of liabilities, non-forfeiture values, asset share studies, process of premium formulation. 3 hrs (class). PR. AMAT 172. (1)
AMAT 177 (3) Introduction to Mathematical Finance. Mathematical theory underlying the pricing and analysis of financial derivatives. 3 hrs (class). PR. AMAT 170 and MATH 181. (1)
AMAT 178 (3) Stochastic Calculus for Finance. Ito processes, their construction, properties, and application to the pricing of financial derivatives. 3 hrs (class). PR. AMAT 177 and MATH 182. (2)
AMAT 180 (3) Introduction to Biomathematics. Discrete and continuous mathematical models of biological processes. 3 hrs (class). PR. MATH 28 or MATH 38 and AMAT 105. (2)
AMAT 190 (3) Special Problems. May be taken twice provided that the total number of units to be credited to the student’s program will not exceed 4 units. PR. COI. (1,2,M)
AMAT 191 (3) Special Topics. May be taken twice provided that the total number of units to be credited to the student’s program will not exceed 4 units. PR. COI. (1)
AMAT 198 (3) Practicum. PR. COI. (M)
AMAT 199 (1) Undergraduate Seminar. May be taken twice. 1 hr (class). PR. COI. (1,2)
AMAT 200 (6) Undergraduate Thesis. PR. COI. (1,2,M)
Mathematics
MATH 18 (3) College Geometry. Axioms and propositions of plane, solid, and spherical geometry. 3 hrs (class). PR. None. (1,2)
MATH 20 (3) The Landscape of Mathematics. Fundamental concepts and theorems of mathematics. 3 hrs (class). PR. None. (1,2)
MATH 25 (3) Fundamental Calculus. Fundamental concepts, methods, and applications of differential and integral calculus in one or more variables. 3 hrs (2 class, 1 recit). PR. None. (1,2)
MATH 27 (3) Analytic Geometry and Calculus II. Differentiation and integration of transcendental functions. indeterminate forms; integration formulas; integration procedures; application of integration; polar coordinate system. 3 hrs (class). PR. None. (1,2,M)
MATH 28 (3) Analytic Geometry and Calculus III. Parametric equations, vectors, and solid analytic geometry; partial differentiation; multiple integrals; infinite series. 3 hrs (class). PR. MATH 27. (1,2,M)
MATH 36 (5) Mathematical Analysis I. Theory and applications of limits, continuity, and derivatives of functions of a single variable. 5 hrs (class). PR. None. (1,2)
MATH 37 (3) Mathematical Analysis II. Theory and applications of integrals of functions of a single variable and infinite series. 3 hrs (class). PR. MATH 36. (1,2)
MATH 38 (5) Mathematical Analysis III. Theory and applications of derivatives and integrals of functions of several variables. 5 hrs (class). PR. MATH 37. (1,2)
MATH 101 (3) Logic and Set Theory. Elements of mathematical logic and the algebra of propositions; arguments, set operations, functions, and relations; algebra of sets; cardinal and ordinal numbers; ordered sets; axiom of choice and other topics in set theory. 5 hrs (2 class, 3 comp). PR. MATH 27 or MATH 37, and AMAT 19 or MATH 20. (1,2)
MATH 103 (3) Elementary Theory of Numbers. Divisibility of integers; primes; congruences; quadratic reciprocity; some functions in number theory and diophantine equations. 3 hrs (class). PR. MATH 101. (2)
MATH 111 (3) Modern Algebra I. Fundamental concepts of groups, rings, fields, and their substructures; permutation representations; isomorphism theorems. 3 hrs (class). PR. MATH 101. (1,2)
MATH 112 (3) Modern Algebra II. Advanced topics in groups, rings and fields, and their substructures; ring of Laurent series and factorization in commutative rings. 3 hrs (class). PR. MATH 111. (2)
MATH 115 (3) Introduction to Coding Theory and Cryptography. Algebraic concepts and methods in the construction and analysis of error-correcting codes and cryptographic systems. 3 hrs (class) PR. MATH 111. (2)
MATH 120 (3) Linear Algebra. Properties of modules and vector spaces under linear transformations and their matrices. 3 hrs (class). PR. MATH 111. (1,2)
MATH 130 (3) Metric Geometry. Foundation and structure of metric geometry as a postulational system of reasoning. PR. MATH 101. (2)
MATH 133 (3) Euclidean and Non-Euclidean Geometry. Axiomatic development, concepts, theorems, and analytic models of Euclidean and non-Euclidean geometry and their transformations. 3 hrs (class). PR. MATH 111. (1,2)
MATH 135 (3) Projective Geometry. Basic concepts, principles, and theorems of projective geometry and its transformations and collineations, using synthetic and analytic approaches. 3 hrs (class). PR. MATH 133 or COI. (1,2)
MATH 138 (3) Introductory Topology. Introductory Topology (3). Basic topological concepts, theory, and methods. 3 hrs (class). PR. MATH 38 and MATH 101. (2)
MATH 141 (3) Introductory Combinatorics. Elementary configurations; enumeration of configurations and investigation of unknown configurations. 3 hrs (class). PR. MATH 38 and either MATH 101 or CMSC 56 and CMSC 57. (2)
MATH 143 (3) Graph Theory. Path problems, directed graphs, and colorability and their application. 3 hrs (class). PR. MATH 101 or CMSC 56 and CMSC 57. (1)
MATH 151 (3) Ordinary Differential Equations. Theory methods and applications of ordinary differential equations. 3 hrs (class). PR. MATH 38 or MATH 28. (1,2)
MATH 152 (3) Partial Differential Equations. Theory, methods, and applications of partial differential equations. 3 hrs (class). PR. MATH 151. (2)
MATH 155 (3) Advanced Calculus I. Concepts in the theory of the reals and analysis of functions of one variable. 3 hrs (class). PR. MATH 38 and MATH 101 or COI. (1,2)
MATH 156 (3) Advanced Calculus II. Concepts in the theory of the real n-space and analysis of functions of several variables. 3 hrs (class). PR. MATH 155. (2)
MATH 160 (3) Vector Analysis. The algebra of vectors; differentiation of vectors; the vector operators del and curl; divergence; Frenet-Serret formulas; involutes, envelopes, first and second fundamental forms; geodesics; integration of vectors. 3 hrs (class). PR. MATH 38 or MATH 28. (2)
MATH 165 (3) Complex Analysis I. Fundamental concepts in the analysis of functions of complex variables. 3 hrs (class). PR. MATH 38 and MATH 101 or COI. (1)
MATH 166 (3) Complex Analysis II. Advanced concepts in the analysis of functions of complex variables. 3 hrs (class). PR. MATH 165. (2)
MATH 170 (3) Finite Differences. Calculus of finite differences; difference equations in general; and linear difference equations with constant coefficients and selected topics. 3 hrs (class). PR. MATH 38. (1)
MATH 174 (3) Numerical Analysis I. Theory, analysis, and implementation of algorithms in polynomial approximation, numerical differentiation, and integration. 5 hrs (2 class, 3 lab). PR. AMAT 152. (1)
MATH 175 (3) Numerical Analysis II. Theory, analysis, and implementation of algorithms for solving nonlinear equations, linear systems, and ordinary differential equations. 5 hrs (2 class, 3 lab). PR. MATH 174. (2)
MATH 181 (3) Introduction to Probability Theory. Elements of combinatorial analysis and introductory probability theory. 3 hrs (class). PR. MATH 101 and MATH 38 or MATH 28. (1,2)
MATH 182 (3) Introduction to Stochastic Processes I. Theory and applications of Bernoulli trials; infinite sequence of trials; random walk and run problems; branching processes and Markov chains. 3 hrs (class). PR. MATH 181 or STAT 144. (2)
MATH 190 (3) Special Problems. May be taken twice provided that the total number of units to be credited to the student’s program will not exceed 4 units. PR. COI. (1,2,M)
MATH 191 (3) Special Topics. May be taken twice provided that the total number of units to be credited to the student’s program will not exceed 4 units. PR. COI. (1)
MATH 192 (3) Foundations of Mathematics Axiomatic methods and theories; symbolic logic calculi; school mathematics reform theses; constructivistics, formalistics, and related mathematics; various schools of mathematical thought and operationality of their theses. 3 hrs (class). PR. COI. (2)
MATH 195 (3) Research Methods in Mathematics. Principles governing mathematical research and documentation. 3 hrs (class). PR. MATH 38 and MATH 101. (1,2)
MATH 198 (3) Practicum. Minimum of 150 hours. PR. COI. (M)
MATH 199 (1) Undergraduate Seminar. May be taken twice. PR. COI. (1,2)
MATH 200 (6) Undergraduate Thesis. PR. COI. (1,2,M)
UP General Education Program
SCIENCE 10 (3) Probing the Physical World
Understanding the origin of the universe, synthesis of the elements, formation of the earth and the various critical issues affecting our worldview and our planet. 3 hrs (class). PR. None. (1,2)
Applied Physics
APHY 10.1 (1) Programming in Physics. Essential programming concepts and tools for physicists. 3 hrs (lab). PR. None. (1)
APHY 101 (3) Physics in Scientific Instruments. Physical laws of measurement; operation and use of electronic instruments. 5 hrs (2 class, 3 lab). PR. PHYS 72 and PHYS 72.1, or PHYS 102. (1)
APHY 102 (3) Physics of Electronic Devices. Principles of operation and use of electronic devices. 5 hrs (2 class, 3 lab). PR. PHYS 72 and PHYS 72.1, or PHYS 102. (1)
APHY 103 (3) Electronic Circuits. Design, implementation, and application of analog electronic circuits in physical instrumentation. 5 hrs (2 class, 3 lab). PR. APHY 102. (2)
APHY 104 (3) Digital Computer Electronics. Design, implementation, and application of digital electronic circuits in computers and other instruments. 5 hrs (2 class, 3 lab). PR. APHY 102 or COI. (2)
APHY 105 (3) Microprocessor-Based Instrumentation. Basic computer concepts; programming and operation; I/O implementation interfacing techniques; microcomputer systems. 5hrs (2 class, 3 lab). PR. APHY 101 and APHY 104. (1)
APHY 106 (3) Biophysical Instrumentation. Properties of measuring instruments; physiological systems of the body from the point of view of instrumentation; animal instrument systems; diagnostic instrumentation; instruments for sensory measurements; bio-telemetry; radioisotope instrumentation and microcomputer in biophysical instrumentation. 5 hrs (2 class, 3 lab). PR. APHY 102. (2)
APHY 130.1 (3) Logic Design Laboratory. Logic design techniques and applications; construction of digital logic circuits. 3 hrs (lab). PR. APHY 104. (1)
APHY 131 (3) Microcomputer Architecture. Principles of microcomputer design and organization; microprocessor structure, functional parts and their operations, classification and comparative microprocessor evaluation; interfacing techniques; microprogramming; system development; microprocessor applications. 5 hrs (2 class, 3 lab). PR. APHY 130.1. (2)
APHY 132 (3) Embedded Systems Programming for Instrumentation. Methods and techniques in programming microprocessors, microcontrollers, and embedded systems for instrumentation. 5 hrs (2 class, 3 lab). PR. APHY 105. (2)
APHY 140 (3) Modeling and Simulation in Environmental Physics. Physical principles of the environment of biological systems; radiation exchange; transfer of momentum, heat, and mass applied to micrometeorology. 5 hrs (2 class, 3 lab). PR. PHYS 115. (1,2)
APHY 145 (3) Physics of Complex Systems. Nonlinear dynamics and emergent phenomena. 5 hrs (2 class, 3 lab). PR. PHYS 115. (2)
APHY 150 (3) Introduction to Materials Development. Fundamentals of synthesis, fabrication, processing, and characterization of materials; survey of novel materials. 3 hrs (class). PR. PHYS 72 or PHYS 104. (2)
APHY 155 (3) Computational Modeling in Surface Physics. Basic concepts and applications of Monte Carlo methods and density functional theory in surface physics. 3 hrs (class). PR. PHYS 141 or COI. (1)
APHY 160 (3) Microscopy and Spectroscopy for Materials Characterization. Fundamental theory and methods of microscopy and spectroscopy. 5 hrs (2 class, 3 lab). PR. PHYS 72 or PHYS 104. (1)
APHY 190 (3) Special Problems. May be taken twice provided that the total number of units to be credited to the student’s program will not exceed 4 units. PR. Senior Standing. (1,2,M)
APHY 191 (3) Special Topics. May be taken twice provided that the total number of units to be credited to the student’s program will not exceed 4 units. PR. COI. (2)
APHY 198 (3) Practicum. Apprenticeship in research agencies or manufacturing industries related to the student’s area of specialization and report on the apprenticeship - a total of 144 hrs. PR. COI. (M)
APHY 199 (1) Undergraduate Seminar. May be taken twice. 1 hr (class). PR. Senior standing. (2)
APHY 200 (6) Undergraduate Thesis. PR. COI. (1,2,M)
Physics
PHYS 50 (3) Foundation of Physics. Historical and philosophical development of fundamental concepts of Physics. 3 hrs (class). PR. None. (1,2)
PHYS 51 (4) Elements of Physics. Physical laws governing classical mechanics, thermodynamics, and electromagnetism. 4 hrs (class). PR. None. (1,2,M)
PHYS 51.1 (1) Elements of Physics Laboratory. Laboratory exercises in classical mechanics, thermodynamics, and electromagnetism. 3 hrs (lab). PR. PHYS 51 (can be concurrent). (1,2, M)
PHYS 71 (4) University Physics I. Motion of particles, rigid bodies and fluids, and the thermodynamics of physical systems. 4 hrs (class). PR. None. (1,2)
PHYS 71.1 (1) University Physics I Laboratory. Laboratory exercises in mechanics and thermodynamics. 3 hrs (lab). PR. PHYS 71 (can be concurrent). (1,2)
PHYS 72 (4) University Physics II. Electromagnetism, optics, and modern physics. 4 hrs (class). PR. PHYS 71. (1,2)
PHYS 72.1 (1) University Physics II Laboratory. Laboratory exercises in electromagnetism and optics. 3 hrs (lab). PR. PHYS 72 (can be concurrent) and PHYS 71.1. (1,2)
PHYS 102 (4) Electromagnetism. Electromagnetic phenomena and Maxwell's equations. 6 hrs (3 class, 3 lab). PR. PHYS 101. (1,2)
PHYS 103 (4) Mechanical Waves, Optics, and Thermodynamics. Nature and propagation of mechanical waves, light, and heat. 6 hrs (3 class, 3 lab). PR. PHYS 102. (1,2)
PHYS 104 (4) Modern Physics. Principles of special relativity, quantum and nuclear physics. 6 hrs (3 class, 3 lab). PR. PHYS 103. (1,2)
PHYS 111 (4) Mathematical Methods of Physics I. Vectors, matrices and linear algebra, groups, and the infinite series in physics. 4 hrs (class). PR. MATH 27 or MATH 37. (1,2)
PHYS 112 (4) Mathematical Methods of Physics II. Complex variables, differential equations, Gamma function, Fourier series, and integral transforms. 4 hrs (class). PR. PHYS 111. (1)
PHYS 113 (4) Mathematical Methods of Physics III. Sturm-Liouville theory, special functions, integral equations, and probability and distributions in Physics. 4 hrs (class). PR. PHYS 112. (1
PHYS 115 (4) Computational Physics. Numerical approaches to modeling the dynamics of physical systems. 6 hrs (3 class, 3 lab). PR. APHY 10.1. (1,2)
PHYS 117 (3) Computational Modeling in Modern Physics. Computational techniques in statistical physics and quantum mechanics. 5 hrs (2 class, 3 lab). PR. PHYS 115. (2)
PHYS 118 (3) High Performance Computational Physics. Parallel computing tools and techniques in physics. 5 hrs (2 class, 3 lab). PR. PHYS 117. (1)
PHYS 121 (3) Theoretical Mechanics I. Motion of a particle in one, two, and three dimensions; motion of a system of particles; rotation of rigid bodies about an axis. 3 hrs (class). PR. PHYS 101 and PHYS 111. (1,2)
PHYS 122 (3) Theoretical Mechanics II. Lagrangian and Hamiltonian dynamics of extended bodies. 3 hrs (class). PR. PHYS 121. (2)
PHYS 131 (3) Electromagnetic Theory I. Vector analysis; electrostatic fields in vacuo and in dielectrics; solution to Laplace’s and Poisson’s equations; magnetic fields of constant and variable currents; magnetic materials. 3 hrs (class). PR. PHYS 102 and PHYS 112. (1,2)
PHYS 132 (3) Electromagnetic Theory II. Time- dependent electromagnetic fields. 3 hrs (class). PR. PHYS 113 and PHYS 131. (1,2)
PHYS 141 (3) Quantum Physics I. Basic concepts and formalisms of quantum mechanics; one dimensional potentials, the harmonic oscillator, spin and two level systems, and the hydrogen atom. 3 hrs (class). PR. PHYS 104 and PHYS 113. (1,2)
PHYS 142 (3) Quantum Physics II. Formulations, approximation schemes, and application of quantum mechanics. 3 hrs (class). PR. PHYS 141. (1,2)
PHYS 151 (3) Statistical Physics I. Thermodynamics ensembles and the statistical description of systems of particles. 3 hrs (class). PR. PHYS 112 and PHYS 121. (1,2)
PHYS 152 (3) Statistical Physics II. Grand canonical ensembles and quantum statistics in statistical physics. 3 hrs (class). PR. PHYS 141 and PHYS 151. (1)
PHYS 160 (3) Structure of Matter. Basic evidence of the macroscopic and quantum properties of atoms, concepts, and phenomena of quantum physics, mechanics of single atoms and aggregates of atoms. 3 hrs (class) PR. PHYS 83 and PHYS 111. (1)
PHYS 165 (3) Optical Physics. Nature, propagation, and detection of light. 3 hrs (class) PR. PHYS 131. (1,2)
PHYS 170 (3) Solid State Physics. Crystal structure, periodicity and Bloch’s theorem; band theory of solids and its applications; material properties in response to electric and magnetic fields. 3 hrs (class). PR. PHYS 141. (1)
PHYS 191 (1-3) Special Topics. May be taken twice provided that the total number of units to be credited to the student’s program will not exceed 4 units. PR. COI (1,2)
PHYS 192.1 (2) Experimental Physics I. Experimental Physics I (2). Laboratory practices, experimental techniques, and analyses in physics. 6 hrs (lab). PR. PHYS 72 or PHYS 104. (1,2)
PHYS 193.1 (2) Experimental Physics II. Experimental Physics II (2). Measurements of the mechanical, thermal, electrical, magnetic and optical properties of materials. 6 hrs (lab). PR. PHYS 72 or PHYS 104. (2)
PHYS 195 (3) Research Methods in Physics. Conduct and presentation of pure and applied physics research, review process and ethics in scientific research and communication. 3 hrs (class). PR. PHYS 102. (1,2)
Mathematics and Science Teaching
MST 40/ DEVC 40 (3) Fundamentals of Educational Communication and Technology. Theories, principles, and concepts of educational communication and technology; practice in planning and designing of media- based learning systems. 3 hrs (lect/recit). PR. DEVC 11 or COI. (1,2)
MST 101a (1) Field Study I. Observation of the interaction of student's learning and management of both classroombased and non-classroom-based learning environment. 48 hrs/sem (lab). PR. None. (1)
MST 101b (1) Field Study II. Examination of diverse learners' characteristics including learning styles, interpretation of classroom practices as they relate to designing/planning lessons and assessments. 48 hrs/sem (lab). PR. None. (2)
MST 101c (1) Field Study III. Reflection on and analysis of teaching assessment practices including non-traditional assessments. 48 hrs/sem (lab). PR. None. (1)
MST 101d (1) Field Study IV. Observation and reflection on classroom management and how classroom discipline is implemented. 48 hrs/sem (lab). PR. None. (2)
MST 123 (5) The Teaching of Mathematics and Science. Principles, trends, and methods of teaching mathematics and science. 7 hrs (4 class, 3 lab). PR. MST 40 / DEVC 40 and EDUC 122. (2)
MST 190 (3) Special Problems. PR. COI. (1,2)
MST 191 (3) Special Topics. PR. COI. (1,2)
MST 195 (3) Research Methodologies in Education. Research design, data collection and analysis techniques, and dissemination of educational research. 5 hrs (2 class, 3 lab). PR. STAT 166. (1,2,M)
MST 199 (1) Undergraduate Seminar. PR. COI. (1,2)
MST 200a (3) Student Teaching I (on campus). PR. MST 123 and MST 101d. (1,2)
MST 200b (3) Student Teaching II (off campus). PR. MST 200a. (1,2)