Course Description
PHY3106 is titled Modern Physics I in the Florida statewide course numbering system, and the statewide description defines it as an "introduction to modern physics, theory of relativity, electromagnetic waves and photons, matter waves, quantum theory, atomic structure, quantum mechanics." It is the first half of a two-course sequence with PHY3107, which picks up at atomic and molecular structure and runs through nuclear physics and elementary particles.
⚠⚠⚠ But the two Florida public institutions carrying this number teach it at different points in the physics curriculum, with different content and different prerequisites — and the titles say so if you read them carefully.
| Florida International University | University of West Florida |
|---|
| Its title | Modern Physics | ⚠⚠ Calculus-Based Physics III |
| Its description | "Development of modern physics. Topics include: special relativity, wave-particle duality, origins of quantum mechanics, and the Schrödinger wave equation." | "Laws of thermodynamics, wave phenomena, breakdown of classical physics, theory of relativity, quantization of charge, light, and energy, atomic structure." |
| Prerequisite | Statewide: PHY 2049 or PHY 2054 AND MAC 2313 (Calculus III) | ⚠ PHY 2049 only — no Calculus III |
| What it is | An upper-division modern physics course | ⚠⚠ The THIRD SEMESTER of the introductory sequence |
⚠⚠ What actually differs, concretely
This is not title drift. The content lists diverge at both ends:
- ⚠ UWF's course includes thermodynamics and wave phenomena. Those are classical physics — the material that traditionally closes the introductory sequence. Neither the statewide description nor FIU's mentions them.
- ⚠⚠ FIU's course reaches the Schrödinger wave equation. UWF's stops at "quantization of charge, light, and energy, atomic structure" and does not mention quantum mechanics as such. The Schrödinger equation is the gateway to everything after it in physics, and whether you met it here matters.
- Both cover relativity, which is the overlap.
So a student who took this course at UWF has thermodynamics and waves that an FIU student does not, and may not have the quantum mechanics an FIU student does. ⚠ Both are legitimate curricular designs — UWF closes its introductory sequence with a third calculus-based term and pushes modern physics proper into PHY3107; FIU runs a conventional two-course upper-division modern physics sequence.
⚠ The prerequisite confirms the position, and it is the fastest check
The statewide prerequisite requires Calculus III (MAC 2313). UWF's requires only PHY 2049. A course positioned as the third semester of the introductory sequence cannot demand Calculus III, because students have not taken it yet. A course positioned above the sequence can.
⚠ Read the prerequisite before you read the title. On this number it identifies which version you are looking at in one line.
⚠⚠ And Florida numbers modern physics several ways — check what your institution runs
This is a genuinely fragmented corner of the catalogue, and it is worth seeing before you plan a transfer:
| Number | Statewide subject | Public carriers |
|---|
PHY3106 | Modern Physics I — this course | 2 (FIU, UWF) |
PHY3107 | Modern Physics II — atomic, molecular, solid state, nuclear, particles | 2 (FIU, UWF) |
⚠ PHY3101 | Elements of Modern Physics — the whole field in ONE term | ⚠⚠ 10 |
⚠⚠⚠ The one-term course is carried by five times as many institutions as the two-term sequence. PHY3101 covers "atomic and nuclear physics, relativity, solid state physics" — material that the 3106/3107 pair spreads over two semesters.
Two consequences worth acting on:
- A one-term course compresses, and what gets compressed is usually the back half — the nuclear, solid-state and particle material. A
PHY3101 completer has done one term, not the first half of two.
- ⚠⚠ If you complete
PHY3106 and transfer, there may be no second course to take. Only two Florida public universities carry PHY3107. Check before you assume the sequence continues.
Learning Outcomes
Required Outcomes
- Explain why classical physics breaks down, and identify the experiments that forced the change.
- Apply special relativity — time dilation, length contraction, the Lorentz transformation, relativistic energy and momentum — to physical problems.
- Explain the quantization of light and energy, and analyse blackbody radiation, the photoelectric effect and the Compton effect as evidence for it.
- Apply wave-particle duality and the de Broglie relation, and interpret matter-wave experiments.
- Describe the development of atomic structure from Rutherford through Bohr, and explain what the Bohr model gets right and where it fails.
- Use the uncertainty principle quantitatively, not merely as a slogan.
- Solve problems using calculus-level mathematics throughout.
- Connect theory to the experimental evidence that established it.
Optional Outcomes
- ⚠ Apply the laws of thermodynamics and analyse thermodynamic processes (explicit at UWF, absent from the statewide description).
- ⚠ Analyse wave phenomena — superposition, interference, standing waves (explicit at UWF).
- ⚠⚠ Set up and solve the Schrödinger wave equation for simple systems (explicit at FIU).
- Apply quantum statistics, and distinguish Bose-Einstein from Fermi-Dirac.
- Relate the material to applications — lasers, semiconductors, medical imaging.
Major Topics
Required Topics
- The breakdown of classical physics — the experiments classical theory could not explain.
- Special relativity — postulates, simultaneity, time dilation, length contraction, the Lorentz transformation.
- Relativistic dynamics — mass-energy equivalence, relativistic momentum and energy.
- Blackbody radiation and the Planck hypothesis.
- The photoelectric effect; photons; the Compton effect.
- Matter waves — de Broglie, electron diffraction.
- The uncertainty principle.
- Atomic structure — Rutherford scattering, the Bohr model, atomic spectra, the limits of the Bohr picture.
- Quantization of charge — the Millikan experiment.
Optional Topics
- ⚠ Thermodynamics — the laws, entropy, kinetic theory (UWF).
- ⚠ Wave phenomena — superposition, interference, standing waves (UWF).
- ⚠⚠ The Schrödinger equation — infinite well, barriers and tunnelling, the harmonic oscillator (FIU).
- Quantum statistics; the free-electron model.
- Applications — lasers, semiconductors, nuclear medicine.
Resources & Tools
- Modern Physics, Krane — the most widely adopted text for this course in the United States.
- Modern Physics, Serway, Moses and Moyer — the usual alternative, and the one most likely where the course continues from a Serway introductory sequence.
- Concepts of Modern Physics, Arthur Beiser — shorter and more accessible.
- ⚠ Where the course is the third term of a calculus-based sequence, the text is frequently the same introductory volume you already own (Halliday, Resnick and Walker; Young and Freedman; Serway and Jewett), continuing into its later chapters. Check before buying anything.
- Spacetime Physics, Taylor and Wheeler — outstanding on relativity specifically.
- MIT OpenCourseWare 8.04 (Quantum Physics I) and 8.20 (Special Relativity) — free, complete, and pitched at exactly this level.
- A computer algebra or numerical tool (Python with NumPy and Matplotlib, or Mathematica) for plotting wavefunctions and solving numerically.
- ⚠ The mathematics is the hidden difficulty. Expect calculus throughout, and differential equations wherever the Schrödinger equation appears.
Career Pathways
- Physicists and Astronomers (SOC 19-2012 / 19-2011) — ⚠ these require a doctorate; this course is a gateway to that path rather than a qualification.
- Physical Scientists and Materials Scientists (SOC 19-2032).
- Engineers across disciplines — ⚠ electrical, optical, nuclear and materials engineering all rest on this material, and semiconductor physics is unintelligible without it.
- Medical Physicist and Nuclear Medicine Technologist (SOC 29-2033) routes; radiation health physics.
- Secondary School Teacher (SOC 25-2031) in physics — ⚠ Florida has a standing physics teacher shortage, and a physics degree plus certification is among the more reliably employable combinations in the state.
- Data scientists and quantitative analysts — physics graduates move into these in large numbers on the strength of the modelling training.
- Florida context: the state's physics-adjacent employment is concentrated in the Space Coast (NASA Kennedy, Blue Origin, SpaceX and the supporting supply chain), defence and photonics in the Orlando corridor — ⚠⚠ where UCF's College of Optics and Photonics anchors a genuine optics industry cluster — semiconductor and electronics manufacturing, and medical physics in the state's large hospital systems. Every one of those rests on the quantum and atomic material in this course.
Special Information
Course format and hours
A lecture course with problem sets as the main work. 3 credits and 45 contact hours; both carriers list 3 credits, and 45 follows Florida's 1:15 convention. No institution publishes a contact-hour figure anywhere in the PHY prefix, so the number is derived.
⚠⚠ The problem sets are the course, and they are slow. Modern physics problems combine unfamiliar concepts with substantial algebra, and a set that looks like six questions can take an evening. Budget well above the scheduled hours — this is among the heavier 3-credit courses in a physics degree.
Offering Notes
Two Florida public institutions carry it, both at 3 credits, at different points in the curriculum. Neither publishes contact hours.
- Florida International University (FIU) — Modern Physics, 3 credits. "Development of modern physics. Topics include: special relativity, wave-particle duality, origins of quantum mechanics, and the Schrödinger wave equation." ✅ Matches the statewide subject. Paired with
PHY3107 Advanced Modern Physics.
- University of West Florida (UWF) — ⚠ Calculus-Based Physics III, 3 credits, College of Science and Engineering, Department of Physics. "Laws of thermodynamics, wave phenomena, breakdown of classical physics, theory of relativity, quantization of charge, light, and energy, atomic structure." Prerequisite
PHY 2049 only. ⚠⚠ Positioned as the third term of the introductory sequence, and includes classical material the statewide description does not.
⚠⚠ Transfer — send a topic list, not the title
The statewide record classifies the course as guaranteed transfer to an institution offering the same course. ⚠ With two carriers teaching it at different curricular positions, that guarantee moves the credit and settles nothing about coverage.
- ⚠⚠⚠ Send the syllabus and a topic list. Physics departments place by content coverage, and the question they will ask is specific: did you do the Schrödinger equation, and did you do thermodynamics? A topic list answers both in seconds.
- If you took the UWF version and are moving to a department expecting modern physics, expect to be asked about quantum mechanics — and be ready for the answer to be that you take their modern physics course.
- If you took the FIU version and are moving to UWF, you may be short thermodynamics, which that department's sequence assumes.
Position in the curriculum
Upper division by number, but ⚠ its real position depends on the institution — third term of the introductory sequence at UWF, above it at FIU. It precedes PHY3107 where that exists, and it is prerequisite knowledge for quantum mechanics, statistical mechanics, solid state and nuclear physics. At most institutions it is also a prerequisite for the advanced laboratory — UWF gates PHY4822L on PHY3107.
Dual enrolment and general education
No Gordon Rule or general-education designation is recorded at either carrier, and both record elective high-school credit for dual enrolment. ⚠ Worth knowing for anyone choosing lower-division physics instead: across Florida's lower-division PHY offerings, 41% earn high-school SCIENCE credit rather than elective — a genuinely high rate. At this upper-division level it drops to 6%, so it does not apply here.
AI Integration
Physics is a subject where these tools are simultaneously more useful and more dangerous than in most, because the output looks like worked physics whether or not it is.
Where they genuinely help: explaining a concept in a second way when the textbook's version has not landed; checking dimensional consistency; rearranging algebra; generating additional practice problems; explaining what a term in an equation is doing physically; and writing or debugging code for numerical work and plotting.
Where they fail, and it matters here specifically:
- ⚠⚠⚠ Multi-step quantitative physics is where these models are least reliable and most confident. A relativity or Compton-scattering problem requires several algebraic steps and consistent units, and an error in step three produces a clean, plausible, wrong answer in step seven with no signal that anything went wrong. Check every result yourself — limiting cases, units, and orders of magnitude.
- ⚠⚠ The classical limit is the standard tell. A relativistic result must reduce to the Newtonian one at low velocity; a quantum result must approach the classical one at large quantum numbers. Those checks are free, they catch most generated errors, and running them is itself a skill this course is teaching.
- Conceptual explanations drift toward the popular account. Ask about wave-particle duality or the uncertainty principle and you get the science-documentary version — which is not wrong exactly, and is not what an exam asks for. ⚠ The uncertainty principle is a statement about the widths of conjugate distributions, not about measurement disturbing the system, and the popular framing gets that backwards often enough to matter.
- Derivations are frequently subtly wrong — a dropped factor, an invalid approximation applied outside its range. Follow every line yourself or do not use it.
On what this course is actually for: the reason to work the problems yourself is that physical intuition is built by getting things wrong and finding out why. ⚠ A student who can obtain correct answers without that process reaches quantum mechanics or statistical mechanics with nothing underneath them — and those courses assume the intuition, not the answers.
⚠ Worth knowing as context: computational methods including machine learning are now genuinely central to working physics — in lattice simulations, materials discovery and experimental data analysis. That makes the judgement this course builds more valuable, not less: the physicists who use those tools well are the ones who can tell when a result is unphysical.
Academic integrity: follow your instructor's stated policy and disclose tool use. The reliable standard in physics: you can reproduce the solution on paper, explain each step, and say what the answer means physically.