Physicscourses cover a wide range of topics essential for understanding the fundamental principles governing the natural world. These include the basics of classical mechanics, electromagnetism, and thermodynamics. Learners will explore topics such as waves and optics, quantum mechanics, and statistical physics. Advanced courses might cover areas like relativity, particle physics, and condensed matter physics. Practical exercises, laboratory work, and problem-solving sessions help learners apply these concepts to real-world scenarios, enhancing their ability to analyze and understand physical phenomena.
Choosing the right physics course depends on your current knowledge level and career aspirations. Beginners should look for courses that cover the basics of classical mechanics, electromagnetism, and introductory thermodynamics. Those with some experience might benefit from intermediate courses focusing on quantum mechanics, waves and optics, and statistical physics. Advanced learners or professionals seeking specialized knowledge might consider courses on relativity, advanced quantum mechanics, or preparing for roles in research or academia. Reviewing course content, instructor expertise, and learner feedback can help ensure the course aligns with your goals.
A certificate in physics can open up various career opportunities in science, education, and technology. Common roles include research scientist, physics teacher, lab technician, and data analyst. These positions involve conducting experiments, analyzing physical data, teaching physics concepts, and applying physics principles to solve technical problems. With the increasing demand for analytical and problem-solving skills in various industries, earning a certificate in physics can significantly enhance your career prospects and opportunities for advancement in fields such as engineering, education, healthcare, and environmental science.
In physics, different theories based on mathematical models provide very precise predictions on how systems behave. Unfortunately, it is often the case that solving the mathematical model for a particular system in order to produce a useful prediction is not feasible. This can occur, for instance, when the solution does not have a closed-form expression, or is too complicated. In such cases, numerical approximations are required. Computational physics is the subject that deals with these numerical approximations: the approximation of the solution is written as a finite (and typically large) number of simple mathematical operations (algorithm), and a computer is used to perform these operations and compute an approximated solution and respective error.[1]
There is a debate about the status of computation within the scientific method.[4] Sometimes it is regarded as more akin to theoretical physics; some others regard computer simulation as "computer experiments",[4] yet still others consider it an intermediate or different branch between theoretical and experimental physics, a third way that supplements theory and experiment. While computers can be used in experiments for the measurement and recording (and storage) of data, this clearly does not constitute a computational approach.
Computational physics problems are in general very difficult to solve exactly. This is due to several (mathematical) reasons: lack of algebraic and/or analytic solvability, complexity, and chaos. For example, even apparently simple problems, such as calculating the wavefunction of an electron orbiting an atom in a strong electric field (Stark effect), may require great effort to formulate a practical algorithm (if one can be found); other cruder or brute-force techniques, such as graphical methods or root finding, may be required. On the more advanced side, mathematical perturbation theory is also sometimes used (a working is shown for this particular example here). In addition, the computational cost and computational complexity for many-body problems (and their classical counterparts) tend to grow quickly. A macroscopic system typically has a size of the order of 10 23 \displaystyle 10^23 constituent particles, so it is somewhat of a problem. Solving quantum mechanical problems is generally of exponential order in the size of the system[5] and for classical N-body it is of order N-squared. Finally, many physical systems are inherently nonlinear at best, and at worst chaotic: this means it can be difficult to ensure any numerical errors do not grow to the point of rendering the 'solution' useless.[6]
Because computational physics uses a broad class of problems, it is generally divided amongst the different mathematical problems it numerically solves, or the methods it applies. Between them, one can consider:
Computational physics also borrows a number of ideas from computational chemistry - for example, the density functional theory used by computational solid state physicists to calculate properties of solids is basically the same as that used by chemists to calculate the properties of molecules.
Furthermore, computational physics encompasses the tuning of the software/hardware structure to solve the problems (as the problems usually can be very large, in processing power need or in memory requests).
Due to the broad class of problems computational physics deals, it is an essential component of modern research in different areas of physics, namely: accelerator physics, astrophysics, general theory of relativity (through numerical relativity), fluid mechanics (computational fluid dynamics), lattice field theory/lattice gauge theory (especially lattice quantum chromodynamics), plasma physics (see plasma modeling), simulating physical systems (using e.g. molecular dynamics), nuclear engineering computer codes, protein structure prediction, weather prediction, solid state physics, soft condensed matter physics, hypervelocity impact physics etc.
Computational solid state physics, for example, uses density functional theory to calculate properties of solids, a method similar to that used by chemists to study molecules. Other quantities of interest in solid state physics, such as the electronic band structure, magnetic properties and charge densities can be calculated by this and several methods, including the Luttinger-Kohn/k.p method and ab-initio methods.
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PHYS 100. ENERGY. (3)
A one-semester survey of the concepts of energy applicable to the understanding of energy in our environment. Topics covered are the nature of energy, sources, transmission, consumption, energy and the environment, and prospects for the future. Experiments will be conducted as part of the classroom work. Colonnade E-NS NS
PHYS 103. LIGHT, COLOR AND VISION. (3)
A descriptive account of the nature and properties of light, color and the process of seeing including descriptions of some important optical instruments, such as the eye, the camera and the telescope. Laboratory experiments are an integral part of the course. Course Fee Colonnade E-NS (SL) NS SL
PHYS 130. ACOUSTICS OF MUSIC AND SPEECH. (3)
The fundamental laws of mechanics and wave motion are studied with particular emphasis being placed upon their application to the production and control of music and speech. Laboratory experiments and field trips are an integral part of the course. Does not count toward credit for the physics major or minor. Colonnade E-NS (SL) NS SL
PHYS 181. INTRODUCTORY MODERN PHYSICS LABORATORY. (1)
Prerequisite: MATH 117 or 118. Corequisite: PHYS 180. Required for students enrolled in PHYS 180. Laboratory experience focusing on applications of optics, thermodynamics, the structure and behavior of atoms, wavelike properties of particles, and quantization of light, charge and energy. Course Fee Colonnade E- SL SL
PHYS 201. COLLEGE PHYSICS I. (4)
Prerequisites: High School algebra, geometry and right triangle trigonometry. An introductory course for students majoring in the applied sciences, emphasizing the application of basic physics principles through problem solving. Topics covered include mechanics, heat and thermodynamics, properties of matter and waves. Includes both lecture and laboratory components. (No calculus is used). Colonnade E-NS (SL) NS SL
PHYS 202. COLLEGE PHYSICS II. (4)
Prerequisite: PHYS 201. Corequisite: PHYS 208 (Course and laboratory must be taken together or dropped together.) A continuation of PHYS 201. The following topics are covered: electrostatics, electric field strength, electric potential difference, resistance, capacitance, DC circuits, magnetism, electromagnetic induction, electromechanical devices, simple AC circuits, reflection, refraction, geometrical optics, physical optics, interference and diffraction. Includes both lecture and laboratory components. (No calculus is used).
PHYS 215. SEMINAR FOR PHYSICS LEARNING ASSISTANTS. (1)
Prerequisites: A college level physics course and acceptance to serve as a learning assistant or permission of instructor. Introduces students to basic theory and practical skills for assisting instructors as learning assistants in active-engagement physics courses.
PHYS 227. ENGINEERING STATICS. (3)
Corequisite: MATH 237. Study of external forces acting on particles and rigid bodies in equilibrium including force systems in two and three dimensions, distributed loading, applications to trusses, beams, frames and cables using vector algebra. Also covers centroids and moments of inertia. Equivalent to MET 227.
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