You must complete 128 credits, as defined below, to graduate from the School of Engineering with a Bachelor of Science in Applied Physics. Please note that the curriculum that follows applies to students who began classes in the fall of 2009 and onwards. If you entered the School of Engineering prior to that date, please review the curriculum and typical course schedule for students entering prior to fall 2009.

The Department of Physics also offers a Minor in Applied Physics and a Concentration and Minor in Nuclear Science and Engineering. A full list of the department's undergraduate offerings is also available.

- 2 Credits Physics: the Genesis of Technology PH-UY 1002
- This course introduces contemporary topics in physics, along with readings and discussions of topics with technological implications.

Prerequisite: Only first-year students are permitted to enroll in this introductory level course. - 3 Credits Mechanics PH-UY 1013
- This course is the first of a three-semester lecture sequence in general physics for science and engineering students. Motion of particles and systems of particles. One-dimensional motion. Vectors and two-dimensional motions. Forces and acceleration. Conservation of energy and momentum. Rotations. The free and driven harmonic oscillator. Gravitation. (This class meets four hours per week for lectures and recitation.)

Prerequisites: MA-UY 1024 or an approved equivalent. Corequisites: MA-UY 1124 or approved equivalent, and EX-UY 1

General Physics Laboratory I PH-UY 2021 |
0.5 Credits |

- 3 Credits Electricity, Magnetism, & Fluids PH-UY 2023
- This is the second course of a three-semester lecture sequence in general physics for science and engineering students. Fluids at rest and in motion. An introduction to electric and magnetic forces and fields. Electric charge density. Electric fields from simple charge distributions. Electric potential. Capacitance.
Magnetic forces. Magnetic field from a current loop. Inductance. Magnetism
in matter. Current and resistance. (This class meets four hours per week for lectures and recitation.)

Prerequisites: PH-UY 1013 and MA-UY 1124 or an approved equivalent. Co-requisite: PH-UY 2121 General Physics Laboratory I, and EX-UY 1

General Physics Laboratory II PH-UY 2031 |
0.5 Credits |

- 3 Credits Waves, Optics, & Thermodynamics PH-UY 2033
- This is the third course of a three-semester lecture sequence in general physics for science and engineering students. Water, sound and electromagnetic waves. Reflection, scattering and absorption. Standing waves and spectra. Superposition, diffraction and beats. Geometrical optics. Introduction to thermodynamics; temperature, heat, and entropy. (This class meets four hours per week for lectures and recitation.)

Prerequisites: PH-UY 2121 and PH-UY 2023. Co-requisites: PH-UY 2131, and EX-UY 1. - 4 Credits Introduction to Modern and Solid State Physics PH-UY 2344
- Special theory of relativity, Michelson Morley experiment. Planck’s quantum hypothesis, photoelectric effect, Compton effect, Rutherford scattering, Bohr’s atom, DeBroglie wavelength, electron diffraction, wave function, uncertainty principle, Schrodinger equation. Application to: square well potential, one electron atom. Atomic nucleus, fission and fusion. Energy bands in a periodic lattice, Kronig Penney model, valence, conduction bands, impurity states, electron mobility. Semiconductor properties. Introduction to superconductivity; electron pairs, energy gap, Josephson effect.

Prerequisites: PH-UY 2023 and MA-UY 2034; Co-requisite: PH-UY 2033. - 4 Credits Analytical Mechanics PH-UY 2104
- The course covers statics by virtual work and potential energy methods. Stability of equilibrium. Particle dynamics, harmonic oscillator and planetary motion. Rigid body dynamics in two and three dimensions. Lagrangian mechanics. Dynamics of oscillating systems.

Prerequisite: PH-UY 2023; Co-requisite: MA-UY 2034 - 4 Credits Electricity and Magnetism PH-UY 3234
- The course covers properties of the electrostatic, magnetostatic and electromagnetic field in vacuum and in material media. Maxwell’s equations with applications to elementary problems.

Prerequisites: PH-UY 2033 and MA-UY 2114. - 4 Credits Thermodynamics and Statistical Physics PH-UY 4124
- The course covers fundamental laws of macroscopic thermodynamics, heat, internal energy and entropy. Topics include an introduction to statistical physics, and applications of Maxwell, Fermi-Dirac and Bose-Einstein distributions.

Prerequisites: PH-UY 2344, MA-UY 2114, and MA-UY 2224. - 4 Credits Introduction to the Quantum Theory PH-UY 4364
- The course introduces quantitative introduction to the quantum theory, which describes understanding light, electrons, atoms, nuclei and solid matter. Superposition principle, expectation values, momentum operator and wave function, duality, current vector, Hermitian operators, angular momentum, solution of the radial equation, electron in a magnetic field, perturbation theory, WKB approximation, identical particles. Applications include alpha decay, electrons in a periodic lattice, hydrogen spectrum, helium atom, neutron-proton scattering, and quark model of baryons.

Prerequisites: PH-UY 2344, MA-UY 2114, and MA-UY 2224. - 2 Credits Senior Seminar in Physics PH-UY 4912
- Senior physics students, in consultation with the instructor, study and prepare presentations on several current research topics in the general area of interdisciplinary physics. Students’ performance is based on the mastery of the material chosen and also on the quality of the presentation made to the instructor and the seminar members.

- 4 Credits Calculus I for Engineers MA-UY 1024
- This course covers library of Functions: functions of one variable. Limits, derivatives of functions defined by graphs, tables and formulas, differentiation rules for power, polynomial, exponential and logarithmic functions, derivatives of trigonometric functions, the product and quotient rule, the chain rule, applications of the chain rule, maxima and minima, optimization. MA 1324 is for students who wish to take MA 1024 but need more review of precalculus. MA1324 covers the same material as MA1024 but with more contact hours a week, incorporating a full discussion of the required precalculus topics.

Prerequisite: Placement Exam or MA-UY 912 or MA-UY 914. Corequisite: EX-UY 1 - 4 Credits Calculus II for Engineers MA-UY 1124
- This course covers definite integrals, theorems about integrals, anti-derivatives, second fundamental theorem of calculus, techniques of integration, introduction to ordinary differential equations, improper integrals, numerical methods of integration, applications of integration, sequences, series, power series, approximations of functions via Taylor polynomials, Taylor series.

Prerequisites: MA-UY 1024 or MA-UY 1324 (B or better) or MA-UY 1022 or MA-UY 1322 (B or better).

Corequisite: EX-UY 1. - 2 Credits Elements of Linear Algebra I MA-UY 2012
- This course introduces vector concepts. Linear transformations.Matrices and Determinants. Characteristic roots and eigenfunctions.

Prerequisite: MA-UY 1124 or equivalent. - 2 Credits Ordinary Differential Equations MA-UY 2132
- This course covers first order differential equations: modeling and solving. Stability of autonomous equations. Higher order linear ordinary differential equations: Solution bases, Wronskian and initial value problems. Linear system of first-order differential equations with constant coefficients: Elimination and eigenvalue method of solution. Elementary concepts of numerical analysis. Numerical solution of initial value problems for ordinary differential equations.

Prerequisite or Corequisite: MA-UY 2012. - 2 Credits Multivariable Calculus A MA-UY 2112
- This course introduces Multivariable Calculus. Analysis of functions of several variables, vector valued functions, partial derivatives and multiple integrals.

Prerequisite: MA-UY 2012. - 2 Credits Multivariable Calculus B MA-UY 2122
- This course continues Multivariable Calculus. Optimization techniques, parametric equations, line integrals, surface integrals and major theorems concerning their applications.

Prerequisite: MA-UY 2112. - 2 Credits Data Analysis I MA-UY 2212
- This course covers basic theory of probability. Random variables. Distributions. Expectation. Functions of a random variable. Descriptive statistics. Data description. Sampling distributions. Use of statistical software is integrated with previous topics.

Prerequisite: MA-UY 1124 or equivalent. - 2 Credits Data Analysis II MA-UY 2222
- This course covers point and interval estimation. Hypothesis testing. Linear regression. One-way analysis of variance. Use of statistical software is integrated with the previous topics.

Prerequisite: MA-UY 2212.

- 3 Credits Engineering Problem Solving and Programming CS-UY 1133
- This introductory course in engineering problem solving and computer programming is for all undergraduate engineering students without prior programming experience in any language. The course covers the fundamentals of computer programming and its underlying principles using the MATLAB programming language. Concepts and methods are illustrated by examples from various engineering disciplines. Useful numerical techniques and their applications to real-world problems in science and engineering are also discussed. ABET competencies: a, e, k.

Corequisite: EX-UY 1. - 3 Credits College Writing Workshop EN-UY 1013W
- This course introduces students to the expectations of college-level writing, including writing-process fundamentals and the inherently rhetorical dimension of all writing. Through the strategies of invention, drafting, responding and revising, students better understand and hone their writing abilities. The instructor emphasizes argumentative and analytical writing, critical reading and writing, use of academic sources, knowledge of academic forms and sentence-level control.

Prerequisites: None. Co-requisites: None. Notes: None.

First Year Writing Seminar HUSS-UY 1023W |
3 Credits |

- 1 Credits Engineering and Technology Forum EG-UY 1001
- In this course the notion of invention, innovation and entrepreneurship (i2e) is introduced to the students’ educational experience. Students will be exposed to elements of a research-intensive institution and diverse research performed by leading engineers, scientists, inventors and entrepreneurs.

**Either both:**

- 4 Credits General Chemistry for Engineers CM-UY 1004
- This is a one-semester introductory course in general chemistry. It covers chemical equations, stoichiometry, thermodynamics, gases, atomic and molecular structure, periodic table, chemical bonding, states of matter, chemical equilibrium, organic, inorganic and polymeric materials and electrochemistry.

Corequisite: EX-UY 1 - 4 Credits Introduction to Cell and Molecular Biology BMS-UY 1004
- The course covers the fundamentals of biology. Topics: Physical, chemical and biochemical bases of life on various organizational levels, cellular morphology, complementarity of form and function, including reproduction, development and genetics.

**or both:**

- 4 Credits General Chemistry I CM-UY 1014
- This course covers chemical equations, chemical conservation laws, stoichiometry, thermochemistry, properties of gases, atomic structure, periodic table, chemical bonding and molecular structure. The course is required for students in the Biomolecular Science Program.

Corequisite: EX-UY 1. - 4 Credits General Chemistry II CM-UY 1024
- This course covers states of matter, chemical thermodynamics and equilibria, kinetics, acid-base chemistry, electrochemistry, introduction to organic chemistry, natural and synthetic polymers. The course is required for students in the Biomolecular Science Program.

Prerequisite: CM-UY 1004 or CM-UY 1014. Corequisite: EX-UY 1.

You should select 6 physics elective courses and 2 math elective courses. An adviser may approve electives substituted from other disciplines.

You must take 18 elective credits in the humanities and social sciences, with EN 1013W and HuSS 1023W as prerequisites. To gain depth of knowledge, we recommend that you take 1 or more of these at an advanced level.

You must take 12 credits of free electives and independent study courses. We recommend that you use 6 of those credits toward a project or thesis topic.

This minor consists of a set of 4 or more physics courses totaling at least 15 credits. The courses should be at the intermediate or advanced level and have the introductory physics sequence PH 1013, 2021, 2023, 2031, and 2033 as prerequisites. You must also earn an overall GPA of 2.0 in these courses to receive the minor. Transfer students must earn at least 8 credits with a 2.0 GPA at the School of Engineering.

This interdisciplinary program aims to produce engineering and science graduates who understand clearly the benefits and risks of nuclear technologies and who will seriously consider employment in nuclear industry and government.

You may receive an Interdisciplinary Concentration or Minor in Nuclear Sciences and Engineering in conjunction with a traditional degree. Those majors include civil, chemical and biological, computer, electrical, financial and risk, or mechanical engineering, or the physical or computational sciences.

The concentration consists of three courses typically taken during the junior and senior years. You can use the available technical and free electives in your curriculum to take these courses:

- 3 Credits Fundamentals of Applied Nuclear Physics PH-UY 3103
- This course surveys the fundamentals of nuclear physics with application to nuclear engineering. Topics include an introduction to quantum mechanics, nuclear forces and nuclear structure, nuclear stability and reactions, natural and induced radioactivity.

Prerequisites: PH-UY 2033, MA-UY 2034, and CM-UY 1004 (or CM-UY 1024). - 3 Credits Introduction to Radiation Physics and Dosimetry PH-UY 3503
- The course examines the basic theory and practice of Radiation and Health Physics. Atomic and nuclear radiation. X-ray and gamma radiation. Interaction of radiation with matter, and the effects on living tissue. Principles of radiation detection, radiation measurement, external and internal dosimetry. Radiation Protection.

Prerequisite: PH-UY 3103. - 3 Credits Introduction to Nuclear Engineering ME-UY 4373
- This is intended to be a required course for the Nuclear Engineering Concentration. It covers three basic areas: (a) reactor kinetics, as it pertains to neutron reaction associated with fissile materials, (b) power reactor systems, i.e. the various types of nuclear reactors in use and their basic operating principles, and (c) design principles for reactors and reactor systems.

Prerequisite: PH-UY 3103 Fundamentals of Applied Nuclear Physics

The minor consists of the concentration plus two additional elective courses chosen from the following approved list:

- 3 Credits Fundamentals of Electrical Power Engineering for Non EE Students EE-UY 2613
- Introduction to electricity: current, voltage and electrical power. Ohm’s Law. Kirchhoff’s Laws. Electrical materials. Electrical energy generation process. Principles of AC. Bulk electrical power generation: hydroelectricity and thermoelectricity. Alternative generation sources. Synchronous Generators. Induction Motors. Transmission and distribution systems. Substations and transformers. Low-voltage networks. Industrial, commercial and residential networks and loads. Short-circuit and protection equipment. Relays and circuit breakers. Power quality. Reliability and blackouts. Physiological effects of electric currents in the human body. Exposure to low-frequency magnetic fields. National Electric Code (NEC). ANSI-IEEE Standards. IEC standards. Certification of electrical products compliance.

Prerequisite(s): MA-UY 1024/1054/1324, and MA-UY 1124/1154/1424; and PH-UY 1004 or PH-UY 1013; and PH-UY 2004 or PH-UY 2023. - 4 Credits Human Factors in Engineering Design PS-UY 2724
- The purpose of this course is to familiarize students with basic concepts, research findings and theories related to the way in which human characteristics, capabilities and limitations, including physiology and psychology, affect system design and performance. Students will develop a basic understanding of methods for studying and assessing human behavior and for analyzing human performance. It will introduce aspects of system, interface, organizational design and physical setting as they influence operators and performance. Satisfies an HuSS Elective.

Prerequisites: Completion of first year writing requirements. - 3 Credits Nuclear and Radiation Instrumentation and Methods PH-UY 3513
- An intermediate level undergraduate course focusing on the theory and practice of nuclear and radiation measurements and instrumentation. Detector properties and principles, pulse electronics and counting statistics will be discussed in detail in the lecture classes. The experiments will illustrate the lecture topics and compliment the companion theory courses. This course meets five hours per week.

Prerequisite: PH-UY 3103; Co-requisite: PH-UY 3503. - 3 Credits Probabilistic Risk Assessment RSK-UY 3593
- This undergraduate course in probabilistic risk assessment (PRA) introduces students to a deep, comprehensive methodology for risk evaluation associated with complex engineered technological designs. Four fundamental questions are addressed: what can go wrong, what are the indications of potential failure, what is the potential magnitude of the failure, and with what probability will failure occur. We will also explore human reliability analysis and common-cause-failure analysis. This course can be applied towards the requirements for NYU-Poly's minor in Nuclear Science and Engineering but not towards the minor in Finance.

Prerequisites: MA-UY 2054 or MA2-UY 212 or MA-UY 3012 - 3 Credits Corrosion & Non-Destructive Evaluation of Materials ME-UY 4863
- Mechanisms of corrosion and means to prevent corrosion; uniform corrosion, galvanic corrosion, pitting, leaching and corrosion in fresh water; protective coatings, cathodic protection and changes in design and environment to prevent corrosion. Non-destructive testing of materials; Penetrants, Magnetic, Radiography, Eddy Current and Ultrasonic techniques. Materials selection, failure analysis and prevention and design strategies for inspectability.

Pre-requisite: PH-UY 2023 - 3 Credits Special Topics in Mechanical Engineering ME-UY 4983

Below is a semester-by-semester presentation of what your schedule might look like as you work to fulfill the 128 credits required for a Bachelor of Science in Applied Physics degree at the School of Engineering.

- 2 Credits Physics: the Genesis of Technology PH-UY 1002
- This course introduces contemporary topics in physics, along with readings and discussions of topics with technological implications.

Prerequisite: Only first-year students are permitted to enroll in this introductory level course. - 4 Credits Calculus I for Engineers MA-UY 1024
- This course covers library of Functions: functions of one variable. Limits, derivatives of functions defined by graphs, tables and formulas, differentiation rules for power, polynomial, exponential and logarithmic functions, derivatives of trigonometric functions, the product and quotient rule, the chain rule, applications of the chain rule, maxima and minima, optimization. MA 1324 is for students who wish to take MA 1024 but need more review of precalculus. MA1324 covers the same material as MA1024 but with more contact hours a week, incorporating a full discussion of the required precalculus topics.

Prerequisite: Placement Exam or MA-UY 912 or MA-UY 914. Corequisite: EX-UY 1 - 3 Credits College Writing Workshop EN-UY 1013W
- This course introduces students to the expectations of college-level writing, including writing-process fundamentals and the inherently rhetorical dimension of all writing. Through the strategies of invention, drafting, responding and revising, students better understand and hone their writing abilities. The instructor emphasizes argumentative and analytical writing, critical reading and writing, use of academic sources, knowledge of academic forms and sentence-level control.

Prerequisites: None. Co-requisites: None. Notes: None. - 1 Credits Engineering and Technology Forum EG-UY 1001
- In this course the notion of invention, innovation and entrepreneurship (i2e) is introduced to the students’ educational experience. Students will be exposed to elements of a research-intensive institution and diverse research performed by leading engineers, scientists, inventors and entrepreneurs.

Choose one:

- 4 Credits General Chemistry I CM-UY 1014
- This course covers chemical equations, chemical conservation laws, stoichiometry, thermochemistry, properties of gases, atomic structure, periodic table, chemical bonding and molecular structure. The course is required for students in the Biomolecular Science Program.

Corequisite: EX-UY 1. - 4 Credits General Chemistry for Engineers CM-UY 1004
- This is a one-semester introductory course in general chemistry. It covers chemical equations, stoichiometry, thermodynamics, gases, atomic and molecular structure, periodic table, chemical bonding, states of matter, chemical equilibrium, organic, inorganic and polymeric materials and electrochemistry.

Corequisite: EX-UY 1

- 3 Credits Mechanics PH-UY 1013
- This course is the first of a three-semester lecture sequence in general physics for science and engineering students. Motion of particles and systems of particles. One-dimensional motion. Vectors and two-dimensional motions. Forces and acceleration. Conservation of energy and momentum. Rotations. The free and driven harmonic oscillator. Gravitation. (This class meets four hours per week for lectures and recitation.)

Prerequisites: MA-UY 1024 or an approved equivalent. Corequisites: MA-UY 1124 or approved equivalent, and EX-UY 1 - 4 Credits Calculus II for Engineers MA-UY 1124
- This course covers definite integrals, theorems about integrals, anti-derivatives, second fundamental theorem of calculus, techniques of integration, introduction to ordinary differential equations, improper integrals, numerical methods of integration, applications of integration, sequences, series, power series, approximations of functions via Taylor polynomials, Taylor series.

Prerequisites: MA-UY 1024 or MA-UY 1324 (B or better) or MA-UY 1022 or MA-UY 1322 (B or better).

Corequisite: EX-UY 1. - 3 Credits Engineering Problem Solving and Programming CS-UY 1133
- This introductory course in engineering problem solving and computer programming is for all undergraduate engineering students without prior programming experience in any language. The course covers the fundamentals of computer programming and its underlying principles using the MATLAB programming language. Concepts and methods are illustrated by examples from various engineering disciplines. Useful numerical techniques and their applications to real-world problems in science and engineering are also discussed. ABET competencies: a, e, k.

Corequisite: EX-UY 1.

First Year Writing Seminar HUSS-UY 1023W |
3 Credits |

- 4 Credits General Chemistry II CM-UY 1024
- This course covers states of matter, chemical thermodynamics and equilibria, kinetics, acid-base chemistry, electrochemistry, introduction to organic chemistry, natural and synthetic polymers. The course is required for students in the Biomolecular Science Program.

Prerequisite: CM-UY 1004 or CM-UY 1014. Corequisite: EX-UY 1. - 4 Credits Introduction to Cell and Molecular Biology BMS-UY 1004
- The course covers the fundamentals of biology. Topics: Physical, chemical and biochemical bases of life on various organizational levels, cellular morphology, complementarity of form and function, including reproduction, development and genetics.

General Physics Laboratory I PH-UY 2021 |
0.5 Credits |

- 3 Credits Electricity, Magnetism, & Fluids PH-UY 2023
- This is the second course of a three-semester lecture sequence in general physics for science and engineering students. Fluids at rest and in motion. An introduction to electric and magnetic forces and fields. Electric charge density. Electric fields from simple charge distributions. Electric potential. Capacitance.
Magnetic forces. Magnetic field from a current loop. Inductance. Magnetism
in matter. Current and resistance. (This class meets four hours per week for lectures and recitation.)

Prerequisites: PH-UY 1013 and MA-UY 1124 or an approved equivalent. Co-requisite: PH-UY 2121 General Physics Laboratory I, and EX-UY 1 - 2 Credits Elements of Linear Algebra I MA-UY 2012
- This course introduces vector concepts. Linear transformations.Matrices and Determinants. Characteristic roots and eigenfunctions.

Prerequisite: MA-UY 1124 or equivalent. - 2 Credits Ordinary Differential Equations MA-UY 2132
- This course covers first order differential equations: modeling and solving. Stability of autonomous equations. Higher order linear ordinary differential equations: Solution bases, Wronskian and initial value problems. Linear system of first-order differential equations with constant coefficients: Elimination and eigenvalue method of solution. Elementary concepts of numerical analysis. Numerical solution of initial value problems for ordinary differential equations.

Prerequisite or Corequisite: MA-UY 2012.

**Free Elective**, 3 Credits

**2 Humanities and Social Sciences Electives**, 3 Credits each

General Physics Laboratory II PH-UY 2031 |
0.5 Credits |

- 3 Credits Waves, Optics, & Thermodynamics PH-UY 2033
- This is the third course of a three-semester lecture sequence in general physics for science and engineering students. Water, sound and electromagnetic waves. Reflection, scattering and absorption. Standing waves and spectra. Superposition, diffraction and beats. Geometrical optics. Introduction to thermodynamics; temperature, heat, and entropy. (This class meets four hours per week for lectures and recitation.)

Prerequisites: PH-UY 2121 and PH-UY 2023. Co-requisites: PH-UY 2131, and EX-UY 1. - 4 Credits Analytical Mechanics PH-UY 2104
- The course covers statics by virtual work and potential energy methods. Stability of equilibrium. Particle dynamics, harmonic oscillator and planetary motion. Rigid body dynamics in two and three dimensions. Lagrangian mechanics. Dynamics of oscillating systems.

Prerequisite: PH-UY 2023; Co-requisite: MA-UY 2034 - 4 Credits Introduction to Modern and Solid State Physics PH-UY 2344
- Special theory of relativity, Michelson Morley experiment. Planck’s quantum hypothesis, photoelectric effect, Compton effect, Rutherford scattering, Bohr’s atom, DeBroglie wavelength, electron diffraction, wave function, uncertainty principle, Schrodinger equation. Application to: square well potential, one electron atom. Atomic nucleus, fission and fusion. Energy bands in a periodic lattice, Kronig Penney model, valence, conduction bands, impurity states, electron mobility. Semiconductor properties. Introduction to superconductivity; electron pairs, energy gap, Josephson effect.

Prerequisites: PH-UY 2023 and MA-UY 2034; Co-requisite: PH-UY 2033. - 2 Credits Multivariable Calculus A MA-UY 2112
- This course introduces Multivariable Calculus. Analysis of functions of several variables, vector valued functions, partial derivatives and multiple integrals.

Prerequisite: MA-UY 2012. - 2 Credits Multivariable Calculus B MA-UY 2122
- This course continues Multivariable Calculus. Optimization techniques, parametric equations, line integrals, surface integrals and major theorems concerning their applications.

Prerequisite: MA-UY 2112.

- 4 Credits Electricity and Magnetism PH-UY 3234
- The course covers properties of the electrostatic, magnetostatic and electromagnetic field in vacuum and in material media. Maxwell’s equations with applications to elementary problems.

Prerequisites: PH-UY 2033 and MA-UY 2114. - 2 Credits Data Analysis I MA-UY 2212
- This course covers basic theory of probability. Random variables. Distributions. Expectation. Functions of a random variable. Descriptive statistics. Data description. Sampling distributions. Use of statistical software is integrated with previous topics.

Prerequisite: MA-UY 1124 or equivalent. - 2 Credits Data Analysis II MA-UY 2222
- This course covers point and interval estimation. Hypothesis testing. Linear regression. One-way analysis of variance. Use of statistical software is integrated with the previous topics.

Prerequisite: MA-UY 2212. - Chemical Laboratory Safety CM-GY 5040
- This course discusses problems of health and safety in chemical laboratories, including how to work safely with dangerous chemicals. This course must be completed by graduate and undergraduate chemistry students before they begin laboratory research.

**Physics Elective**, 3 Credits

**Free Elective**, 3 Credits:

**Humanities and Social Sciences Elective**, 3 Credits

- 4 Credits Introduction to the Quantum Theory PH-UY 4364
- The course introduces quantitative introduction to the quantum theory, which describes understanding light, electrons, atoms, nuclei and solid matter. Superposition principle, expectation values, momentum operator and wave function, duality, current vector, Hermitian operators, angular momentum, solution of the radial equation, electron in a magnetic field, perturbation theory, WKB approximation, identical particles. Applications include alpha decay, electrons in a periodic lattice, hydrogen spectrum, helium atom, neutron-proton scattering, and quark model of baryons.

Prerequisites: PH-UY 2344, MA-UY 2114, and MA-UY 2224.

**Physics Elective**, 4 Credits

**Math Elective**, 4 Credits

**Humanities and Social Sciences Elective**, 3 Credits

- 4 Credits Thermodynamics and Statistical Physics PH-UY 4124
- The course covers fundamental laws of macroscopic thermodynamics, heat, internal energy and entropy. Topics include an introduction to statistical physics, and applications of Maxwell, Fermi-Dirac and Bose-Einstein distributions.

Prerequisites: PH-UY 2344, MA-UY 2114, and MA-UY 2224. - 2 Credits Introduction to Senior Project in Physics PH-UY 4902
- A qualified senior physics student or group of students work with a faculty member (and possibly graduate students) on an advanced problem in physics. In this introductory phase the student(s) and adviser select a suitable theoretical or experimental problem in the subject area and use various resources to solve it.
- 2 Credits Senior Seminar in Physics PH-UY 4912
- Senior physics students, in consultation with the instructor, study and prepare presentations on several current research topics in the general area of interdisciplinary physics. Students’ performance is based on the mastery of the material chosen and also on the quality of the presentation made to the instructor and the seminar members.

**Physics Elective**, 3 Credits

**Math Elective**, 3 Credits

**HuSS Elective**, 3 Credits

- 4 Credits Senior Project in Physics PH-UY 4904
- In the project’s concluding phase, senior physics students or group of students work with a faculty member (and possibly graduate students) to solve an advanced problem in interdisciplinary physics. The conclusion of the project is a written report and an oral presentation made to the supervising faculty.

**3 Physics Electives**, 3 Credits

**Humanities and Social Sciences Elective**, 3 Credits

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