Department of Physics

# Bachelor of Arts in Physics

Students on Summer 2018, Fall 2018, or Spring 2019 requirements PHYSBA

The Bachelor of Arts in Physics curriculum introduces students to the study of matter and energy, including their nature and properties. Students learn theoretical and experimental approaches including Newtonian mechanics, oscillations, and waves, bulk properties of matter and thermodynamics. Upper-level courses focus modern, environmental and theoretical physics, materials science, electricity and magnetism, thermodynamics and statistical mechanics, radiation science, analog and digital electronics. At all levels, physics courses combine lectures and labs, and majors gain hands-on experience using advanced instruments and computing systems, gaining the skills necessary for successful research and industry careers.

## Requirements

The major requires at least 30 credit hours, including the requirements listed below.

**Physics I.**One (1) course:- PHYS-P 201 General Physics I
- PHYS-P 221 Physics I
- PHYS-H 221 Honors Physics I

# PHYS-P 201 General Physics I

- Credits
- 5
- Prerequisites
- None
- Notes
- R: Mastery of high school trigonometry; or MATH-M 026
- Description
- Newtonian mechanics, wave motion, heat, and thermodynamics. Application of physical principles to related scientific disciplines, especially life sciences. Intended for students preparing for careers in the life sciences and the health professions. Three lectures, one discussion section, and one two-hour laboratory period each week.
- Repeatability
- Credit given for only one of PHYS-H 221, PHYS-P 201, or PHYS-P 221.

- Fall 2022CASE NMcourse

# PHYS-P 221 Physics I

- Credits
- 5
- Prerequisites
- None
- Corequisites
- MATH-M 211 or consent of instructor
- Notes
- First semester of a three-semester, calculus-based sequence intended for science majors. Three lectures, two discussion sections, and one 2-hour lab each week. Physics majors are encouraged to take PHYS-P 221 in the fall semester of the freshman year
- Description
- Newtonian mechanics, oscillations and waves, heat and thermodynamics.
- Repeatability
- Credit given for only one of PHYS-H 221, PHYS-P 201, or PHYS-P 221.

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# PHYS-H 221 Honors Physics I

- Credits
- 5
- Prerequisites
- Consent of department
- Notes
- P or C: MATH-M 211 or equivalent
- Description
- First semester of a calculus-based sequence in introductory physics, intended primarily for highly motivated and well prepared students. Covers the material of P221 and supplementary topics. Course fee required.
- Repeatability
- Credit given for only one of PHYS-H 221, PHYS-P 201, or PHYS-P 221.

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**Physics II.**One (1) course:- PHYS-P 202 General Physics II
- PHYS-P 222 Physics II
- PHYS-H 222 Honors Physics II

# PHYS-P 202 General Physics II

- Credits
- 5
- Prerequisites
- PHYS-H 221, PHYS-P 201, PHYS-P 221, or high school equivalent
- Notes
- Three lectures, one discussion section, and one two-hour laboratory period each week
- Description
- Electricity and magnetism; geometrical and physical optics; introduction to concepts of relativity, quantum theory, and atomic and nuclear physics.
- Repeatability
- Credit given for only one of PHYS-H 222, PHYS-P 202, or PHYS-P 222.

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# PHYS-P 222 Physics II

- Credits
- 5
- Prerequisites
- PHYS-H 221 or PHYS-P 221; or PHYS-P 201 and consent of instructor
- Corequisites
- MATH-M 212 or consent of instructor
- Notes
- Second semester of a three-semester, calculus-based sequence intended for science majors.Three lectures, two discussion sections, and one 2-hour lab each week. Physics majors are encouraged to take PHYS-P 222 in the spring semester of the freshman year
- Description
- Primarily electricity, magnetism, and geometrical and physical optics.
- Repeatability
- Credit given for only one of PHYS-H 222, PHYS-P 202, or PHYS-P 222.

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# PHYS-H 222 Honors Physics II

- Credits
- 5
- Prerequisites
- PHYS-H 221; or PHYS-P 221 and consent of department
- Description
- Second semester of a calculus-based sequence in introductory physics, intended primarily for highly motivated and well prepared students. Covers the material of PHYS-P 222 and supplementary topics. Course fee required.
- Repeatability
- Credit given for only one of PHYS-H 222, PHYS-P 202, or PHYS-P 222.

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**Physics III.**One (1) course:- PHYS-P 301 Physics III

# PHYS-P 301 Physics III

- Credits
- 3
- Prerequisites
- PHYS-H 222 or PHYS-P 222; or PHYS-P 202 and consent of instructor
- Notes
- Third semester of a three-semester, calculus-based sequence.Intended for science and mathematics majors. Three lecture-discussion periods each week
- Description
- Special theory of relativity; introduction to quantum physics; atomic, nuclear, condensed matter, and elementary particle physics.

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**Electives.**Additional courses, as needed to fulfill remaining requirements, from the Physics Electives list.- PHYS-P 309 Modern Physics Laboratory
- PHYS-P 310 Environmental Physics
- PHYS-P 314 Introduction to Medical Physics
- PHYS-P 317 Signals and Information Processing in Living Systems
- PHYS-P 318 Scattering Methods in Materials Science
- PHYS-P 321 Techniques in Theoretical Physics
- PHYS-P 325 Computing Skills for Physical Scientists
- PHYS-P 331 Theory of Electricity and Magnetism I
- PHYS-P 332 Theory of Electricity and Magnetism II
- PHYS-P 340 Thermodynamics and Statistical Mechanics
- PHYS-P 350 Applied Physics Instrumentation Laboratory
- PHYS-P 371 Radiation Science Fundamentals
- PHYS-P 400 Analog and Digital Electronics
- PHYS-P 408 Current Research in Physics
- PHYS-P 410 Computing Applications in Physics
- PHYS-P 411 Computing Applications in Physics II
- PHYS-P 425 Introductory Biophysics
- PHYS-P 441 Analytical Mechanics I
- PHYS-P 442 Analytical Mechanics II
- PHYS-P 451 Experiments in Modern Physics I
- PHYS-P 453 Introduction to Quantum Mechanics
- PHYS-P 454 Modern Physics
- PHYS-P 455 Quantum Computing I
- PHYS-P 456 Quantum Computing II
- PHYS-P 460 Modern Optics
- PHYS-P 470 Introduction to Accelerator Physics
- PHYS-P 472 Radiation Oncology Physics
- PHYS-P 478 Radiation Biophysics

# PHYS-P 309 Modern Physics Laboratory

- Credits
- 3
- Prerequisites
- None
- Notes
- P or C: PHYS-P 301
- Description
- Fundamental experiments in physics with emphasis on modern physics. The course aims to develop basic laboratory skills and data analysis techniques.

# PHYS-P 310 Environmental Physics

- Credits
- 3
- Prerequisites
- PHYS-H 221, PHYS-P 201, or PHYS-P 221; and MATH-M 211; or consent of instructor
- Description
- For biological and physical science majors. Relationship of physics to current environmental problems. Energy production, comparison of sources and byproducts; nature of and possible solutions to problems of noise, particulate matter in atmosphere.

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# PHYS-P 314 Introduction to Medical Physics

- Credits
- 3
- Prerequisites
- PHYS-H 221, PHYS-P 201, PHYS-P 221, or consent of instructor
- Notes
- R: PHYS-H 222, PHYS-P 202, or PHYS-P 222. Preferred for Physics majors: PHYS-P 371 and PHYS-P 472
- Description
- For biological and physical science majors. Applications of physics to the diagnosis, treatment, and prevention of human disease: diagnostic imaging, radiation therapy, radiation protection; radiation detection, dosimetry, exposure, instrumentation, cavity theory, non-ionizing radiation imaging, radiation biology, radiation oncology techniques, cancer biology, medical imaging technologies.

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# PHYS-P 317 Signals and Information Processing in Living Systems

- Credits
- 3
- Prerequisites
- PHYS-H 222, PHYS-P 202, or PHYS-P 222; and MATH-M 120 or MATH-M 211.
- Description
- Introduction to quantitative methods for life sciences, emphasizing how living systems process information. Topics include noise in sensory signals; consequences for sensory processing; uncertainty and decision making; neural networks, excitable waves in neurons and muscle; stability/instability; models of development and morphogenesis. Open to students in the physical or life sciences.

# PHYS-P 318 Scattering Methods in Materials Science

- Credits
- 3
- Prerequisites
- PHYS-H 222 or PHYS-P 222; or PHYS-P 202 and consent of instructor
- Description
- Introduction to neutron and X-ray scattering techniques used in materials physics. Basic scattering theory; structural measurements of ordered, disordered, and nano materials; stress and strain measurements; imaging; inelastic neutron and X-ray scattering; EXAFS and NEXAFS; polarized neutrons and X-rays; proposal writing.

# PHYS-P 321 Techniques in Theoretical Physics

- Credits
- 3
- Prerequisites
- None
- Notes
- P or C: PHYS-P 301
- Description
- Particle motion in one, two, and three dimensions in the presence of forces; construction of forces from fields, and relationships between fields and sources; energies and potentials; complex oscillations and circuit analysis; classical and quantum mechanical waves and probabilities.

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# PHYS-P 325 Computing Skills for Physical Scientists

- Credits
- 3
- Prerequisites
- PHYS-P 201 and PHYS-P 202; or PHYS-P 221 and PHYS-P 222; and MATH-M 211, MATH-S 211, or equivalent
- Description
- Computer skills with application to upper-division physical science courses: use of Python as a programming language and Mathematica for symbolic manipulation; data fitting and visualization; numerical and Monte Carlo methods.

# PHYS-P 331 Theory of Electricity and Magnetism I

- Credits
- 3
- Prerequisites
- PHYS-H 222 or PHYS-P 222; or PHYS-P 202 and consent of instructor; and MATH-M 312 or PHYS-P 321
- Description
- Electrostatic fields and differential operators, Laplace and Poisson equations, dielectric materials, steady currents, power and energy, induction, magnetic fields, scalar and vector potentials, Maxwell\'s equations.

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# PHYS-P 332 Theory of Electricity and Magnetism II

- Credits
- 3
- Prerequisites
- PHYS-P 331; or consent of instructor
- Description
- Magnetic materials, wave equations and radiation, energy transfer and conversion. Pointing vector and momentum, retarded potentials, dipole radiation, transmission lines and wave guides, relativity.

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# PHYS-P 340 Thermodynamics and Statistical Mechanics

- Credits
- 3
- Prerequisites
- PHYS-H 222 or PHYS-P 222; or PHYS-P 202 and consent of instructor
- Notes
- P or C: MATH-M 311 or MATH-S 311
- Description
- Intermediate course, covering three laws of thermodynamics, classical and quantum statistical mechanics, and some applications.

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# PHYS-P 350 Applied Physics Instrumentation Laboratory

- Credits
- 3
- Prerequisites
- PHYS-H 222 or PHYS-P 222; or PHYS-P 201, PHYS-P 202, and consent of instructor
- Notes
- P or C: PHYS-P 309
- Description
- Instrumentation, data acquisition, and control for research, development, industrial applications depending upon coordination of electrical sensors, instruments, personal computers, and software. Covers the essentials of electronic signal measurements, transducers, computer control of instruments, design of automated measurement and control algorithms, real-time data analysis and instrument calibration.

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# PHYS-P 371 Radiation Science Fundamentals

- Credits
- 3
- Prerequisites
- PHYS-H 222 or PHYS-P 222; or PHYS-P 202 and consent of instructor
- Description
- Introduces principles and concepts related to radioactive decay, interactions of ionizing radiation with matter, dosimetry and the human health effects of exposure to ionizing radiation; reviews fundamental concepts of atomic and sub-atomic processes, modern physics, Special Theory of Relativity, wave/particle duality and the Heisenberg Uncertainty Principle.

# PHYS-P 400 Analog and Digital Electronics

- Credits
- 3
- Prerequisites
- None
- Description
- Practical electronics as would be encountered in a research laboratory or industrial setting. Both analog (filters, power supplies, transistors, amplifiers, op-amps, comparators, oscillators, transducers including the analysis of circuits using computer-aided techniques) and digital devices (storage elements, discrete gates, and programmable devices).

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# PHYS-P 408 Current Research in Physics

- Credits
- 1
- Prerequisites
- None
- Description
- A series of introductory talks by 15 different faculty members on the current research activities of the Department of Physics. For senior-level students.

# PHYS-P 410 Computing Applications in Physics

- Credits
- 3
- Prerequisites
- PHYS-P 301; and CSCI-A 201 or CSCI-A 304; or consent of instructor
- Description
- Computing methods and techniques applied to a broad spectrum of physics problems. Emphasis on least-squares method and other curve-fitting techniques of nonlinear functions; Monte Carlo methods; data manipulation, including sorting, retrieval, and display.

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# PHYS-P 411 Computing Applications in Physics II

- Credits
- 3
- Prerequisites
- PHYS-P 410; or consent of instructor
- Description
- Continuation of PHYS-P 410 including introduction to stochastic modeling, statistical mechanics and quantum systems, improving code performance.

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# PHYS-P 425 Introductory Biophysics

- Credits
- 3
- Prerequisites
- None
- Description
- Overview of cellular components; basic structures of proteins, nucleotides, and biological membranes; solution physics of biological molecules; mechanics and motions of biopolymers; physical chemistry of binding affinity and kinetics; physics of transport and initial transduction; biophysical techniques such as microscopy and spectroscopy; mathematical modeling of biological systems; biophysics in the post-genome era, etc.

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# PHYS-P 441 Analytical Mechanics I

- Credits
- 3
- Prerequisites
- PHYS-P 222 or PHYS-H 222; or PHYS-P 202 and consent of instructor
- Notes
- P or C: MATH-M 343
- Description
- Elementary mechanics of particles and rigid bodies, treated by methods of calculus and differential equations.

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# PHYS-P 442 Analytical Mechanics II

- Credits
- 3
- Prerequisites
- PHYS-P 441; or consent of instructor
- Corequisites
- MATH-M 343
- Description
- Elementary mechanics of particles and rigid bodies, treated by methods of calculus and differential equations.

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# PHYS-P 451 Experiments in Modern Physics I

- Credits
- 3
- Prerequisites
- PHYS-P 301 and PHYS-P 309
- Notes
- R: PHYS-P 453 and PHYS-P 454 concurrently
- Description
- Advanced laboratory for senior physics majors. Experimental investigations and selected topics in nuclear, atomic, and solid state physics.

# PHYS-P 453 Introduction to Quantum Mechanics

- Credits
- 3
- Prerequisites
- PHYS-P 301 and PHYS-P 331
- Notes
- R: PHYS-P 332 concurrently
- Description
- The Schroedinger equation with applications to problems such as barrier transmission, harmonic oscillation, and the hydrogen atom. Discussion of orbital and spin angular momentum and identical particles. Introduction to perturbation theory.

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# PHYS-P 454 Modern Physics

- Credits
- 4
- Prerequisites
- PHYS-P 453
- Description
- Structure of multielectron atoms. Experimental facts and theoretical models in solid state physics, nuclear physics, and elementary particle physics.

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# PHYS-P 455 Quantum Computing I

- Credits
- 3
- Prerequisites
- MATH-M 118, MATH-M 211, and MATH-M 303; or consent of instructor
- Notes
- Cross-listed as MATH-M 455
- Description
- Covers the interdisciplinary field of quantum information science and aims at senior undergraduate and graduate students majoring in computer science, physics, mathematics, philosophy, and chemistry. Quantum Information Science is the study of storing, processing, and communicating information using quantum systems.
- Repeatability
- Credit given for only one of MATH-M 455 and PHYS-P 455.

# PHYS-P 456 Quantum Computing II

- Credits
- 3
- Prerequisites
- MATH-M 118, MATH-M 211, and MATH-M 303; and MATH-M 455 or PHYS-P 455; or consent of instructor
- Notes
- Cross-listed as MATH-M 456
- Description
- Covers the interdisciplinary field of quantum information science and aims at senior undergraduate and graduate students majoring in computer science, physics, mathematics, philosophy, and chemistry. Quantum Information Science is the study of storing, processing, and communicating information using quantum systems.
- Repeatability
- Credit given for only one of MATH-M 456 and PHYS-P 456.

# PHYS-P 460 Modern Optics

- Credits
- 3
- Prerequisites
- PHYS-P 331 or consent of instructor
- Description
- Physical optics and electromagnetic waves based on electromagnetic theory, wave equations; phase and group velocity; dispersion; coherence; interference; diffraction; polarization of light and of electromagnetic radiation generally; wave guides; holography; masers and lasers; introduction to optical spectroscopy.

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# PHYS-P 470 Introduction to Accelerator Physics

- Credits
- 3
- Prerequisites
- Consent of instructor
- Description
- Overview of accelerator development and accelerator technologies. Principles of linear and circular accelerators, storage rings, colliders. Transverse phase space motion of a particle in an accelerator. Radio frequency acceleration and synchrotron light sources. Basics of free electron lasers. Spin dynamics in cyclic accelerators and storage rings.Â Â Â Â

# PHYS-P 472 Radiation Oncology Physics

- Credits
- 3
- Prerequisites
- PHYS-P 371; or consent of instructor
- Description
- Introduces the physical principles, equipment, processes, imaging guidance and clinical techniques involved in the treatment of cancer patients with external radiation beams and radioactive sources; energy deposition characteristics are described; treatment planning dose calculation algorithms and point dose calculations; international dosimetry protocols for radiation beam calibrations are covered in detail.

# PHYS-P 478 Radiation Biophysics

- Credits
- 3
- Prerequisites
- PHYS-P 301, PHYS-P 371, or consent of instructor
- Description
- Emphasis on the effects of ionizing radiation at the cellular/molecular, tissue, and organismal level. Topics include effects in tissue, DNA repair, chemical modifiers, the basis of radiotherapy, consequences of whole-body irradiation, and carcinogenesis. Especially relevant for students training in cancer biology, radiation oncology, radiology, public health, and medical physics.

**Addenda Requirements*.****Calculus I.**One (1) course:- MATH-M 211 Calculus I
- MATH-S 211 Honors Calculus I

# MATH-M 211 Calculus I

- Credits
- 4
- Prerequisites
- None
- Notes
- R: To be successful, students will demonstrate mastery of two years of high school algebra, one year of high school geometry, and pre-calculus, and trigonometry as indicated by an appropriate ALEKS score or completion of MATH-M 027
- Description
- Limits, continuity, derivatives, definite and indefinite integrals, applications.
- Repeatability
- A student may receive credit for only one of the following: MATH-J 113, MATH-M 119, MATH-V 119, MATH-M 211, or MATH-S 211.

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# MATH-S 211 Honors Calculus I

- Credits
- 4
- Prerequisites
- Hutton Honors College membership or consent of department
- Notes
- R: To be successful, students will demonstrate mastery of two years of high school algebra, one year of high school geometry, and pre-calculus and trigonometry as indicated by an appropriate ALEKS score or completion of MATH-M 027
- Description
- Designed for students of outstanding ability, who are considering further study in mathematics. Limits, continuity, derivatives, definite and indefinite integrals, applications, with emphasis placed on theory.
- Repeatability
- Credit given for only one of MATH-J 113, MATH-M 119, MATH-M 211, MATH-S 211, or MATH-V 119.

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**Calculus II.**One (1) course:- MATH-M 212 Calculus II
- MATH-S 212 Honors Calculus II

# MATH-M 212 Calculus II

- Credits
- 4
- Prerequisites
- MATH-M 211 or MATH-S 211; or consent of department
- Description
- Techniques of integration (by parts, trigonometric substitutions, partial fractions), improper integrals, volume, work, arc length, surface area, infinite series.
- Repeatability
- Credit given for only one of MATH-M 120 or MATH-M 212.

- Fall 2022CASE NMcourse

# MATH-S 212 Honors Calculus II

- Credits
- 4
- Prerequisites
- MATH-S 211 or consent of department
- Description
- Includes material of MATH-M 212 and supplemental topics. Designed for students of outstanding ability in mathematics.
- Repeatability
- Credit given for only one of MATH-M 120, MATH-M 212, or MATH-S 212.

- Fall 2022CASE NMcourse

**Calculus III.**One (1) course:- MATH-M 343 Introduction to Differential Equations with Applications I
- MATH-S 343 Honors Course in Differential Equations

# MATH-M 343 Introduction to Differential Equations with Applications I

- Credits
- 3
- Prerequisites
- MATH-M 212, MATH-M 213, or MATH-S 212
- Notes
- R: MATH-M 301, MATH-M 303, or MATH-S 303
- Description
- Ordinary differential equations and methods for their solution, including series methods and the Laplace transform. Applications of differential equations. s, stability, and numerical methods. Partial differential equations of mathematical physics, Fourier series.
- Repeatability
- Credit given for only one of MATH-M 343 or MATH-S 343.

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# MATH-S 343 Honors Course in Differential Equations

- Credits
- 3
- Prerequisites
- MATH-S 212 or consent of instructor
- Description
- Introduction, with historical examples, first order ordinary differential equations (ODEs) and applications, second order linear ODEs, linear ODEs of higher order, series solutions to linear ODEs, and numerical methods for ODEs. In addition, some theoretical aspects will be studied in detail such as the Picard existence/uniqueness theorem for initial-value problems, convergence of series solutions, and the matrix exponential exp(tA).

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**GPA and Hours Requirements.**- At least 18 credit hours in the major must be completed in courses taken through the Indiana University Bloomington campus or an IU-administered or IU co-sponsored Overseas Study program.
- At least 18 credit hours in the major must be completed at the 300–499 level.
- Except for the GPA requirement, a grade of C- or higher is required for a course to count toward a requirement in the major.
- A GPA of at least 2.000 for all courses taken in the major—including those where a grade lower than C- is earned—is required.
- Exceptions to major requirements may be made with the approval of the department's Director of Undergraduate Studies, subject to final approval by the College of Arts and Sciences.

Notes

The Bachelor of Arts degree requires at least 120 credit hours, to include the following:

**College of Arts and Sciences Credit Hours.**At least 100 credit hours must come from College of Arts and Sciences disciplines.**Upper Division Courses.**At least 42 credit hours (of the 120) must be at the 300–499 level.**College Residency.**Following completion of the 60th credit hour toward degree, at least 36 credit hours of College of Arts and Sciences coursework must be completed through the Indiana University Bloomington campus or an IU-administered or IU co-sponsored Overseas Study program.**College GPA.**A cumulative grade point average (GPA) of at least 2.000 is required for all courses taken at Indiana University.**CASE Requirements.**The following College of Arts and Sciences Education (CASE) requirements must be completed:- CASE Foundations
- CASE Breadth of Inquiry
- CASE Culture Studies
- CASE Critical Approaches: 1 course
- CASE Foreign Language: Proficiency in a single foreign language through the second semester of the second year of college-level coursework
- CASE Intensive Writing: 1 course
- CASE Public Oral Communication: 1 course

**Major.**Completion of the major as outlined in the Major Requirements section above.

Most students must also successfully complete the Indiana University Bloomington General Education program.