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18.311 Principles of Applied Mathematics (MIT) 18.311 Principles of Applied Mathematics (MIT)

Description

Discussion of computational and modeling issues. Nonlinear dynamical systems; nonlinear waves; diffusion; stability; characteristics; nonlinear steepening, breaking and shock formation; conservation laws; first-order partial differential equations; finite differences; numerical stability; etc. Applications to traffic problems, flows in rivers, internal waves, mechanical vibrations and other problems in the physical world.Technical RequirementsMATLAB® software is required to run the .m files found on this course site. MATLAB® is a trademark of The MathWorks, Inc. Discussion of computational and modeling issues. Nonlinear dynamical systems; nonlinear waves; diffusion; stability; characteristics; nonlinear steepening, breaking and shock formation; conservation laws; first-order partial differential equations; finite differences; numerical stability; etc. Applications to traffic problems, flows in rivers, internal waves, mechanical vibrations and other problems in the physical world.Technical RequirementsMATLAB® software is required to run the .m files found on this course site. MATLAB® is a trademark of The MathWorks, Inc.

Subjects

Nonlinear dynamical systems | Nonlinear dynamical systems | nonlinear waves | nonlinear waves | diffusion | diffusion | stability | stability | characteristics | characteristics | nonlinear steepening | nonlinear steepening | breaking and shock formation | breaking and shock formation | conservation laws | conservation laws | first-order partial differential equations | first-order partial differential equations | finite differences | finite differences | numerical stability | numerical stability | traffic problems | traffic problems | flows in rivers | flows in rivers | internal waves | internal waves | mechanical vibrations | mechanical vibrations

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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6.551J Acoustics of Speech and Hearing (MIT) 6.551J Acoustics of Speech and Hearing (MIT)

Description

The Acoustics of Speech and Hearing is an H-Level graduate course that reviews the physical processes involved in the production, propagation and reception of human speech. Particular attention is paid to how the acoustics and mechanics of the speech and auditory system define what sounds we are capable of producing and what sounds we can sense. Areas of discussion include: the acoustic cues used in determining the direction of a sound source, the acoustic and mechanical mechanisms involved in speech production and the acoustic and mechanical mechanism used to transduce and analyze sounds in the ear. The Acoustics of Speech and Hearing is an H-Level graduate course that reviews the physical processes involved in the production, propagation and reception of human speech. Particular attention is paid to how the acoustics and mechanics of the speech and auditory system define what sounds we are capable of producing and what sounds we can sense. Areas of discussion include: the acoustic cues used in determining the direction of a sound source, the acoustic and mechanical mechanisms involved in speech production and the acoustic and mechanical mechanism used to transduce and analyze sounds in the ear.

Subjects

HST.714 | HST.714 | sound | sound | speech communication | speech communication | human anatomy | human anatomy | speech production | speech production | sound production | sound production | airflow | airflow | filtering | filtering | vocal tract | vocal tract | auditory physiology | auditory physiology | acoustical waves | acoustical waves | mechanical vibrations | mechanical vibrations | cochlear structures | cochlear structures | sound perception | sound perception | spatial hearing | spatial hearing | masking | masking | auditory frequency selectivity | auditory frequency selectivity | physical processes | physical processes | sound propagation | sound propagation | human speech | human speech | acoustics | acoustics | speech mechanics | speech mechanics | auditory system | auditory system | sound direction | sound direction | ear | ear | 6.551 | 6.551

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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8.03SC Physics III: Vibrations and Waves (MIT)

Description

This is the third course in the core physics curriculum at MIT, following 8.01 Physics I: Classical Mechanics and 8.02 Physics II: Electricity and Magnetism. Topics include mechanical vibrations and waves, electromagnetic waves, and optics. Students will learn about musical instruments, red sunsets, glories, coronae, rainbows, haloes, X-ray binaries, neutron stars, black holes and Big Bang cosmology.

Subjects

mechanical vibrations | waves | simple harmonic motion | superposition | forced vibrations | resonance | coupled oscillations | normal modes | vibrations of continuous systems | reflection | refraction | phase | group velocity | Optics | wave solutions to Maxwell's equations | polarization | Snell's Law | interference | Huygens's principle | Fraunhofer diffraction | gratings | musical instruments | red sunsets | glories | coronae | rainbows | haloes | X-ray binaries | neutron stars | black holes | big-bang cosmology

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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8.03 Physics III: Vibrations and Waves (MIT)

Description

In addition to the traditional topics of mechanical vibrations and waves, coupled oscillators, and electro-magnetic radiation, students will also learn about musical instruments, red sunsets, glories, coronae, rainbows, haloes, X-ray binaries, neutron stars, black holes and big-bang cosmology. OpenCourseWare presents another version of 8.03 that features a full set of lecture notes and take-home experiments. Also by Walter Lewin Courses: Classical Mechanics (8.01)- with a complete set of 35 video lectures from the Fall of 1999 Electricity and Magnetism (8.02)- with a complete set of 36 video lectures from the Spring of 2002 Talks: For The Love Of Physics - Professor of Physics Emeritus Walter Lewin's last MIT lecture, complete with some of his most famous phy

Subjects

mechanical vibrations | waves | simple harmonic motion | superposition | forced vibrations | resonance | coupled oscillations | normal modes | vibrations of continuous systems | reflection | refraction | phase | group velocity | Optics | wave solutions to Maxwell's equations | polarization | Snell's Law | interference | Huygens's principle | Fraunhofer diffraction | gratings | musical instruments | red sunsets | glories | coronae | rainbows | haloes | X-ray binaries | neutron stars | black holes | big-bang cosmology

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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8.03 Physics III: Vibrations and Waves (MIT)

Description

In addition to the traditional topics of mechanical vibrations and waves, coupled oscillators, and electro-magnetic radiation, students will also learn about musical instruments, red sunsets, glories, coronae, rainbows, haloes, X-ray binaries, neutron stars, black holes and big-bang cosmology. OpenCourseWare presents another version of 8.03 that features a full set of lecture notes and take-home experiments. Also by Walter Lewin Courses: Classical Mechanics (8.01)- with a complete set of 35 video lectures from the Fall of 1999 Electricity and Magnetism (8.02)- with a complete set of 36 video lectures from the Spring of 2002 Talks: For The Love Of Physics - Professor of Physics Emeritus Walter Lewin's last MIT lecture, complete with some of his most famous phy

Subjects

mechanical vibrations | waves | simple harmonic motion | superposition | forced vibrations | resonance | coupled oscillations | normal modes | vibrations of continuous systems | reflection | refraction | phase | group velocity | Optics | wave solutions to Maxwell's equations | polarization | Snell's Law | interference | Huygens's principle | Fraunhofer diffraction | gratings | musical instruments | red sunsets | glories | coronae | rainbows | haloes | X-ray binaries | neutron stars | black holes | big-bang cosmology

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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18.311 Principles of Applied Mathematics (MIT)

Description

Discussion of computational and modeling issues. Nonlinear dynamical systems; nonlinear waves; diffusion; stability; characteristics; nonlinear steepening, breaking and shock formation; conservation laws; first-order partial differential equations; finite differences; numerical stability; etc. Applications to traffic problems, flows in rivers, internal waves, mechanical vibrations and other problems in the physical world.Technical RequirementsMATLAB® software is required to run the .m files found on this course site. MATLAB® is a trademark of The MathWorks, Inc.

Subjects

Nonlinear dynamical systems | nonlinear waves | diffusion | stability | characteristics | nonlinear steepening | breaking and shock formation | conservation laws | first-order partial differential equations | finite differences | numerical stability | traffic problems | flows in rivers | internal waves | mechanical vibrations

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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6.551J Acoustics of Speech and Hearing (MIT)

Description

The Acoustics of Speech and Hearing is an H-Level graduate course that reviews the physical processes involved in the production, propagation and reception of human speech. Particular attention is paid to how the acoustics and mechanics of the speech and auditory system define what sounds we are capable of producing and what sounds we can sense. Areas of discussion include: the acoustic cues used in determining the direction of a sound source, the acoustic and mechanical mechanisms involved in speech production and the acoustic and mechanical mechanism used to transduce and analyze sounds in the ear.

Subjects

HST.714 | sound | speech communication | human anatomy | speech production | sound production | airflow | filtering | vocal tract | auditory physiology | acoustical waves | mechanical vibrations | cochlear structures | sound perception | spatial hearing | masking | auditory frequency selectivity | physical processes | sound propagation | human speech | acoustics | speech mechanics | auditory system | sound direction | ear | 6.551

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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