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Farewell Special - Bring a Friend!

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

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Diffraction - Gratings - Pin Holes - Angular Resolution

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

This video was formerly hosted on the YouTube channel MIT OpenCourseWare.

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Huygens' Principle - Interference - Thin films - Soap - Oil - Light (double slit interference)

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

This video was formerly hosted on the YouTube channel MIT OpenCourseWare.

This version was downloaded from the Internet Archive, at https://archive.org/details/MIT8.03F04/.

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Exam 2 Review

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

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Boundary Conditions for Dielectrics - Index of Refraction - Snell's Law - Total Internal Reflection - Fresnel Equations - Brewster Angle

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

This video was formerly hosted on the YouTube channel MIT OpenCourseWare.

This version was downloaded from the Internet Archive, at https://archive.org/details/MIT8.03F04/.

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Wave Guides - Resonance Cavities of Electromagnetic Radiation and Sound

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

This video was formerly hosted on the YouTube channel MIT OpenCourseWare.

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Boundary Conditions at Perfect Conductors - Reflection - Standing EM Waves - Transmission Lines - Radiation Pressure

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

This video was formerly hosted on the YouTube channel MIT OpenCourseWare.

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This YouTube channel is independently operated. It is not affiliated with MIT, MIT OpenCourseWare, the Internet Archive, or Dr. Lewin, nor do they endorse any content on this channel.

#### Lec 15: Doppler Effect, Radiation, and Expanding Universe | 8.03 Vibrations and Waves (Walter Lewin)

Doppler Effect - Sound - EM Radiation - Binary Stars - Neutron Stars and Black Holes - Expanding Universe

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

This video was formerly hosted on the YouTube channel MIT OpenCourseWare.

This version was downloaded from the Internet Archive, at https://archive.org/details/MIT8.03F04/.

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Accelerated Charges - Poynting Vector - Power - Rayleigh Scattering - Polarization

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

This video was formerly hosted on the YouTube channel MIT OpenCourseWare.

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Electromagnetic Waves - Plane Wave Solutions to Maxwell's Equations - Polarization - Malus' Law

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

This video was formerly hosted on the YouTube channel MIT OpenCourseWare.

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Dispersion - Phase Velocity - Group Velocity

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

This video was formerly hosted on the YouTube channel MIT OpenCourseWare.

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Fourier Analysis - Time Evolution of Pulses on Strings

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

This video was formerly hosted on the YouTube channel MIT OpenCourseWare.

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This YouTube channel is independently operated. It is not affiliated with MIT, MIT OpenCourseWare, the Internet Archive, or Dr. Lewin, nor do they endorse any content on this channel.

Exam 1 Review

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

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This YouTube channel is independently operated. It is not affiliated with MIT, MIT OpenCourseWare, the Internet Archive, or Dr. Lewin, nor do they endorse any content on this channel.

#### Lec 09: Musical Instruments, Sound Cavities, Normal Modes | 8.03 Vibrations and Waves (Walter Lewin)

Musical Instruments - Sound Cavities - Normal Modes

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

This video was formerly hosted on the YouTube channel MIT OpenCourseWare.

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This YouTube channel is independently operated. It is not affiliated with MIT, MIT OpenCourseWare, the Internet Archive, or Dr. Lewin, nor do they endorse any content on this channel.

#### Lec 08: Traveling Waves, Sound Waves, and Energy in Waves | 8.03 Vibrations and Waves (Walter Lewin)

Traveling Waves - Boundary Conditions - Standing Waves - Sound (Longitudinal Waves) - Energy in Waves

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

This video was formerly hosted on the YouTube channel MIT OpenCourseWare.

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Many Coupled Oscillators - Wave Equation - Transverse Traveling Pulses and Waves

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

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Driven Coupled Oscillators - Triple Pendulum - Steady State and Transient Solutions - Cramer's Rule

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

This video was formerly hosted on the YouTube channel MIT OpenCourseWare.

This version was downloaded from the Internet Archive, at https://archive.org/details/MIT8.03F04/.

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This YouTube channel is independently operated. It is not affiliated with MIT, MIT OpenCourseWare, the Internet Archive, or Dr. Lewin, nor do they endorse any content on this channel.

Coupled Oscillators

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

This video was formerly hosted on the YouTube channel MIT OpenCourseWare.

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Forced Oscillations - Power at Resonance (Resonance Absorption, Resonance Width, Quality Q) - Transient Phenomena (General Solutions including Initial Conditions)

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

This video was formerly hosted on the YouTube channel MIT OpenCourseWare.

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This YouTube channel is independently operated. It is not affiliated with MIT, MIT OpenCourseWare, the Internet Archive, or Dr. Lewin, nor do they endorse any content on this channel.

#### Lec 03: Damped Forced Oscillations, Destructive Resonance | 8.03 Vibrations and Waves (Walter Lewin)

Forced Oscillations with Damping - Destructive Resonance

Information about the Tacoma Narrows Bridge Collapse

http://www.pbs.org/wgbh/nova/bridge/tacoma3.html

http://www.ketchum.org/bridgecollapse.html

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

This video was formerly hosted on the YouTube channel MIT OpenCourseWare.

This version was downloaded from the Internet Archive, at https://archive.org/details/MIT8.03F04/.

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Beats - Damped Free Oscillations (Under- Over- and Critically Damped) - Quality Q

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

This video was formerly hosted on the YouTube channel MIT OpenCourseWare.

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Topics covered: Periodic Phenomena (Oscillations, Waves) - SHO - Complex Notation - Differential Equations - Physical Pendulum

This lecture is part of 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Walter Lewin at MIT.

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Course introduction by Dr. Walter Lewin to 8.03 Physics III: Vibrations and Waves, as taught in Fall 2004 by Dr. Lewin at MIT.

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Lecture 36: Autocatalysis and oscillators.

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Lecture 35: Enzyme catalysis.

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Lecture 34: Temperature dependence, Ea, catalysis.

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Lecture 33: Chain reactions.

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Lecture 32: Steady-state and equilibrium approximations.

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Lecture 31: Complex reactions and mechanisms.

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Lecture 30: Introduction to reaction kinetics.

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Lecture 29: Applications: chemical and phase equilibria.

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Lecture 28: Model systems.

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Lecture 27: Statistical mechanics and discrete energy levels.

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Lecture 26: Partition function (Q) - many particles.

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Lecture 25: Partition function (q) - large N limit.

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Lecture 24: Introduction to statistical mechanics.

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Lecture 23: Colligative properties.

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Lecture 22: Non-ideal solutions.

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Lecture 21: Ideal solutions.

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Lecture 20: Phase equilibria - two components.

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Lecture 19: Clausius-Clapeyron equation.

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Lecture 18: Phase equilibria - one component.

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Lecture 17: Equilibrium: application to drug design.

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Lecture 16: Temperature, pressure and Kp.

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Lecture 15: Chemical equilibrium.

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Lecture 14: Multicomponent systems, chemical potential.

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Lecture 13: Gibbs free energy.

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Lecture 12: Criteria for spontaneous change.

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Lecture 11: Fundamental equation, absolute S, third law.

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Lecture 10: Entropy and irreversibility.

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Lecture 09: Entropy and the Clausius inequality.

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Lecture 08: Second law.

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Lecture 07: Calorimetry.

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Lecture 06: Thermochemistry.

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Lecture 05: Adiabatic changes.

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Lecture 04: Enthalpy.

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Lecture 03: Internal energy, expansion work.

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Lecture 02: Work, heat, first law.

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Lecture 1: State of a system, 0th law, equation of state.

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Lecture 35: Final review (cont.).

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Lecture 34: Final review.

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Lecture 33: Topological considerations; Maxwell's equations.

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Lecture 32: Stokes' theorem (cont.); review.

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Lecture 31: Stokes' theorem.

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Lecture 30: Line integrals in space, curl, exactness and potentials.

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Lecture 29: Divergence theorem (cont.): applications and proof.

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Lecture 28: Divergence theorem.

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Lecture 25: Triple integrals in rectangular and cylindrical coordinates.

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Lecture 20: Path independence and conservative fields.

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Lecture 16: Double integrals.

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Lecture 15: Partial differential equations; review.

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Future of Biology (Prof. Robert A. Weinberg)

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Molecular Evolution (Prof. Robert A. Weinberg)

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Molecular Medicine 1 (Prof. Robert A. Weinberg)

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Stem Cells/Cloning 2 (Prof. Robert A. Weinberg)

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Stem Cells/Cloning 1 (Prof. Robert A. Weinberg)

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Nervous System 3 (Dr. Andrew Chess, Guest Lecturer)

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Genomics (Prof. Eric Lander)

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AIDS (Prof. Robert A. Weinberg)

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Cancer (Prof. Robert A. Weinberg)

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Recombinant DNA 4 (Prof. Eric Lander)

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Protein Localization (Dr. Claudette Gardel)

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Gene Regulation (Prof. Eric Lander)

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Introduction (Prof. Robert A. Weinberg)

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Molecular Evolution (Prof. Martin Polz, Guest Lecturer)

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Population Genetics and Evolution (Prof. Martin Polz, Guest Lecturer)

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Population Growth II (Prof. Penny Chisholm)

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Population Growth I (Prof. Penny Chisholm)

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Population Growth I (Prof. Graham Walker)

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Recombinant DNA III (cont.)

Immunology I (Prof. Graham Walker)

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Recombinant DNA III (Prof. Graham Walker)

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Recombinant DNA II (Prof. Graham Walker)

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Recombinant DNA I (Prof. Graham Walker)

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Diploid Genetics (Prof. Graham Walker)

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Mitosis and Meiosis (Prof. Graham Walker)

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Mendelian Genetics (Prof. Graham Walker)

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Limiting Factors and Biogeochemical Cycles (Prof. Penny Chisholm)

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Regulation of Productivity (Prof. Penny Chisholm)

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Productivity and Food Webs (Prof. Penny Chisholm)

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Carbon and Energy Metabolism (Prof. Penny Chisholm)

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The Biosphere (Prof. Penny Chisholm)

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Bacterial Genetics (Prof. Graham Walker)

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Molecular Biology IV (cont.)

Gene Regulation I (Prof. Graham Walker)

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Molecular Biology IV (Prof. Graham Walker)

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Molecular Biology III (Prof. Graham Walker)

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(Prof. Graham Walker)

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Molecular Biology II

Process of Science (Prof. Graham Walker)

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Molecular Biology I (Prof. Graham Walker)

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Biochemistry VI (cont.)

DNA as Genetic Material (Prof. Graham Walker)

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Biochemistry VI (Prof. Graham Walker)

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Biochemistry V (Prof. Graham Walker)

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Biochemistry IV (Prof. Graham Walker)

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Biochemistry III (Prof. Graham Walker)

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Biochemistry II (Prof. Graham Walker)

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Biochemistry I (Prof. Graham Walker)

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Introduction (Prof. Graham Walker)

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Lecture 38: Laser double resonance studies II

Instructor: Robert Field

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Lecture 37: Laser double resonance studies

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Lecture 36: CNPI Group Theory

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Lecture 35: Wavepacket dynamics II

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Lecture 34: Wavepacket dynamics

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Lecture 33: Vibronic coupling

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Lecture 31: Electronic spectra of polyatomic molecules

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Lecture 30: What is in a character table and how do we use it?

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Lecture 29: A sprint through group theory

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Lecture 28: Normal and local modes. High overtone spectra

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Lecture 27: Polyatomic vibrations IV: symmetry

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Lecture 26: Polyatomic vibrations III: s-vectors and H2O

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Lecture 25: Polyatomic vibrations: normal mode calculations

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Lecture 24: Pure rotation spectra of polyatomic molecules

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Lecture 23: Asymmetric top

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Lecture 22: Rotation of polyatomic molecules I

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Lecture 21: Construction of potential curves by the Rydberg-Klein-Rees method (RKR)

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Lecture 20: Transformations between basis sets: 3-j, 6-j, and Wigner-Eckart theorem

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Lecture 19: Second-order effects

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Lecture 18: Perturbations

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Lecture 17: Hund's cases: ...

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Lecture 16: Parity and e/f basis for 2∏, 2∑±

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Lecture 15: 2∏ and 2∑ matrices

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Lecture 14: Definition of angular momenta and

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Lecture 13: Laser schemes for rotational assignment first lines for Ω', Ω" assignments

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Lecture 12: Rotational assignment of diatomic electronic spectra I

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Lecture 11: Pictures of spectra and notation

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Lecture 10: The Born-Oppenheimer approach to transitions II

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Lecture 9: The Born-Oppenheimer approach to transitions

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Lecture 8: The Born-Oppenheimer approximation

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Lecture 7: How to assign an atomic spectrum

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Lecture 6: Many e- atoms

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Lecture 5: Alkali and many e- atomic spectra

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Lecture 4: Atoms: 1e- and alkali

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Lecture 3: Building an effective hamiltonian

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Lecture 2: Coupled harmonic oscillators: truncation of an infinite matrix

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Lecture 1: Matrices are useful in spectroscopic theory

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Instructor: Robert Field

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Interview with Bioengineering faculty Prof. Todd Thorsen

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Interview with Bioengineering faculty Prof. Subra Suresh

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Interview with Bioengineering faculty Prof. Greg Stephanopoulos

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Interview with Bioengineering faculty Prof. Ram Sasisekharan

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Interview with Bioengineering faculty Prof. Christine Ortiz

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Interview with Bioengineering faculty Prof. Paul Matsudaira

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Interview with Bioengineering faculty Prof. Douglas Lauffenburger

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Interview with Bioengineering faculty Prof. Matthew Lang

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Interview with Bioengineering faculty Prof. Kimberly Hamad-Schifferli

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Interview with Bioengineering faculty Prof. Alan Grodzinsky

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Interview with Bioengineering faculty Prof. Linda Griffith

(In making devices with precise three-dimensional structure, as shown in Linda Griffith's video, she used TheriForm technology, which is available commercially from Therics, Inc., in Princeton, NJ.)

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Interview with Bioengineering faculty Prof. Charles Cooney

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Biological Computing - Prof. Drew Endy

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Chemical Foundations of Bioengineering (cont.) - Prof. Paul Matsudaira

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Biological Foundations of Bioengineering - Prof. Paul Matsudaira

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Bioengineering - Prof. Douglas Lauffenburger

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Column Chromatography

It takes considerable practice to master the art of "running a column". This video will get you started, with tips on picking appropriate conditions, packing and running a column, monitoring separation, and even making a micro-column from a pipet.

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Recrystallization

Recrystallization takes patience, but it's worth it! This video walks you through the procedure, from solubility tests to cold filtration, with information on one-solvent and two-solvent recrystallizations.

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Reaction Work-Up II

Using the Rotavap: The rotary evaporator is your friend in the lab. This video will ensure that you build a safe and productive relationship.

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Reaction Work-Up I

Extracting, Washing and Drying: It ain't over 'til it's over. Learn how to "work up" your reaction using a separatory funnel to perform a liquid-liquid extraction. This is one purification technique you don't want to miss!

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TLC - The Basics

Thin-layer chromatography is the most commonly used analytical technique in many research labs. This video walks you through every step, from setting up a developing chamber to calculating Rf values.

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Part 2: Piezoelectricity (cont.)

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Part 1: Piezoelectricity (cont.)

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Part 2: Piezoelectricity

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Part 1: Piezoelectricity

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Part 1: Sheer and Thermal Expansion Tensors

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Part 2: Stress and Strain Tensors

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Part 1: Stress and Strain Tensors

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Part 1: Representation Quadric

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Part 2: Representation Quadric

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Part 1: Representation Quadric

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Part 1: Tensors (cont.)

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Part 2: Tensors (cont.)

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Part 1: Tensors (cont.)

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Part 2: Space Group Notation and Tensors

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Part 1: Space Group Notation and Tensors

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Part 2: Final Lecture on Symmetry: 3D Space Groups

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Part 1: Final Lecture on Symmetry: 3D Space Groups

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Part 2: Physical Properties of Crystal Structures

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Part 1: Physical Properties of Crystal Structures

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Part 1: 3D Lattices

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Part 2: Point Groups

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Part 1: Point Groups

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Part 2: 3D Symmetries, Point Groups

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Part 2: Diffraction, 3D Symmetries

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Part 1: Diffraction, 3D Symmetries

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Part 2: 2D Plane Groups, Lattices (cont.)

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Part 1: 2D Plane Groups, Lattices (cont.)

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Part 2: 2D Plane Groups, Lattices (cont.)

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Part 1: 2D Plane Groups, Lattices (cont.)

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Part 2: 2D Plane Groups, Lattices

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Part 1: 2D Plane Groups, Lattices

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Part 2: 2D Symmetries

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Part 1: 2D Symmetries

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Part 2: Translation, Rotation, Periodicity

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Part 1: Translation, Rotation, Periodicity

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Part 2: Introduction to Crystallography

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Part 1: Introduction to Crystallography

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Part 2: Introduction to Crystallography

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Introduction to Crystallography

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MIT 5.61 Physical Chemistry, Fall 2017

Instructor: Professor Robert Field

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In this final lecture, Prof. Field explains time dependence of two-level systems, with attention to density matrix and rotating wave approximation.

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MIT 5.61 Physical Chemistry, Fall 2017

Instructor: Professor Robert Field

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In this lecture, Prof. Field talks about the discrete variable representation. He introduces the students to delta-functions.

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MIT 5.61 Physical Chemistry, Fall 2017

Instructor: Professor Robert Field

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This lecture covers intermolecular interactions, electronic spectroscopy, and the Franck-Condon principle.

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MIT 5.61 Physical Chemistry, Fall 2017

Instructor: Professor Robert Field

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This lecture discusses wavepacket dynamics and what to expect and how to approach it.

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MIT 5.61 Physical Chemistry, Fall 2017

Instructor: Professor Robert Field

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This is the second of two lectures that focuses on spectroscopy and dynamics.

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MIT 5.61 Physical Chemistry, Fall 2017

Instructor: Professor Robert Field

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This is the first of two lectures on spectroscopy and dynamics.

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MIT 5.61 Physical Chemistry, Fall 2017

Instructor: Professor Troy Van Voorhis

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This lecture covers information about modern electronic structure theory. Ways of computing the energy and computational chemistry tools are discussed.

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MIT 5.61 Physical Chemistry, Fall 2017

Instructor: Professor Troy Van Voorhis

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Guest lecturer, Prof. Troy Van Voorhis, explores electronic structure theory. This discussion includes the topic of basis sets, which are a pre-defined set of AO basis functions for each atom in the periodic table.

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MIT 5.61 Physical Chemistry, Fall 2017

Instructor: Robert Field

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In this lecture, Prof. Field continues the discussion of non-degenerate perturbation theory.

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MIT 5.61 Physical Chemistry, Fall 2017

Instructor: Professor Robert Field

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This lecture explains the Hückel molecular orbital theory, which determines the energies of molecular orbitals of electrons.

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MIT 5.61 Physical Chemistry, Fall 2017

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This lecture continues the discussion of molecular orbital theory and includes information about diatomic molecules.

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MIT 5.61 Physical Chemistry, Fall 2017

Instructor: Professor Robert Field

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This lecture begins the discussion on molecules and molecular orbital theory. Topics include the variational method, Born-Oppenheimer Approximation, and bonding antibonding.

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MIT 5.61 Physical Chemistry, Fall 2017

Instructor: Professor Robert Field

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This lecture explains how to evaluate matrix elements of many-electron operators, which is key to interpreting the electronic properties of atoms and molecules.

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MIT 5.61 Physical Chemistry, Fall 2017

Instructor: Professor Robert Field

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After discussing the hydrogen atom in the previous lecture, Prof. Field explores the next simplest system: the helium atom.

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MIT 5.61 Physical Chemistry, Fall 2017

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In this lecture, Professor Field talks about the hydrogen atom as a model for electronic structure. In particular, he discusses quantum number scaling effects.

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MIT 5.61 Physical Chemistry, Fall 2017

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The lecture discusses what we can learn about molecules by looking at the hydrogen atom.

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MIT 5.61 Physical Chemistry, Fall 2017

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This lecture discusses time-dependent quantum mechanics.

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MIT 5.61 Physical Chemistry, Fall 2017

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This lecture covers the rigid rotor and derivation by commutation rules. Angular momentum is a central theme of this lecture.

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MIT 5.61 Physical Chemistry, Fall 2017

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This lecture covers the rigid rotor and is a first glimpse at central force problems.

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MIT 5.61 Physical Chemistry, Fall 2017

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This lecture continues exploring non-degenerate perturbation theory.

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MIT 5.61 Physical Chemistry, Fall 2017

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This lecture introduces the idea of the non-degenerate perturbation theory.

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MIT 5.61 Physical Chemistry, Fall 2017

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This lecture covers the topic of Hij integrals and H matrices.

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MIT 5.61 Physical Chemistry, Fall 2017

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This lecture covers the topic of Hij integrals and H matrices.

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MIT 5.61 Physical Chemistry, Fall 2017

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This lecture covers five postulates and a catch up and review before the exam.

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MIT 5.61 Physical Chemistry, Fall 2017

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This lecture covers wavepacket dynamics for harmonic oscillator and particle-in-a-box.

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MIT 5.61 Physical Chemistry, Fall 2017

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This lecture focues on the time-dependent Schrödinger equation.

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MIT 5.61 Physical Chemistry, Fall 2017

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This lecture continues the discussion of harmonic oscillators and includes information on creation and annihilation operators.

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MIT 5.61 Physical Chemistry, Fall 2017

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This lecture covers the quantum mechanical treatment of the harmonic oscillator.

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MIT 5.61 Physical Chemistry, Fall 2017

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This lecture covers the classical mechanic treatment of the harmonic oscillator, the traditional quantum mechanic treatment, and time-dependent quantum mechanics.

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MIT 5.61 Physical Chemistry, Fall 2017

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This lecture covers the concepts of the 3-D box and QM separation of variables.

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MIT 5.61 Physical Chemistry, Fall 2017

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This lecture covers free particle and particle in a 1D box, part of quantum mechanics.

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MIT 5.61 Physical Chemistry, Fall 2017

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This lecture covers classical wave equations, the separation of variables, boundary conditions, and the superposition of normal modes:the pluck.

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MIT 5.61 Physical Chemistry, Fall 2017

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This lecture covers the two-slit experiment, which demonstrates that light and matter can can be defined both as waves and particles. The instructor also explains the uncertainty principles.

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MIT 5.61 Physical Chemistry, Fall 2017

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This lecture covers the wave nature of the electron and the internal structure of an atom.

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Lecture Series on Engineering Physics - II by Prof. V.Ravishankar, Dept.of Physics, IIT Kanpur. For more details on NPTEL visit http://nptel.iitm.ac.in

Lecture Series on Engineering Physics - II by Prof. V.Ravishankar, Dept.of Physics, IIT Kanpur. For more details on NPTEL visit http://nptel.iitm.ac.in

Lecture Series on Engineering Physics - II by Prof. V.Ravishankar, Dept.of Physics, IIT Kanpur. For more details on NPTEL visit http://nptel.iitm.ac.in

Lecture Series on Engineering Physics - II by Prof.V.Ravishankar, Department of Physics, IIT Kanpur. For More details on NPTEL visit http://nptel.iitm.ac.in

Lecture Series on Engineering Physics - II by Prof.V.Ravishankar, Department of Physics, IIT Kanpur. For More details on NPTEL visit http://nptel.iitm.ac.in

Lecture Series on Engineering Physics - II by Prof.V.Ravishankar, Department of Physics, IIT Kanpur. For More details on NPTEL visit http://nptel.iitm.ac.in

Lecture series on Mathematics-1 by Prof S.K.Ray,

Department of Mathematics and Statistics IIT Kanpur

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Lecture series on Mathematics-1 by Prof S.K.Ray,

Department of Mathematics and Statistics IIT Kanpur

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Lecture series on Mathematics-1 by Prof S.K.Ray,

Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Lecture series on Mathematics-1 by Prof S.K.Ray,

Department of Mathematics and Statistics IIT Kanpur

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Lecture series on Mathematics-1 by Prof S.K.Ray,

Department of Mathematics and Statistics IIT Kanpur

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Lecture series on Mathematics-1 by Prof S.K.Ray,

Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Department of Mathematics and Statistics IIT Kanpur

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Linear programming and Extensions by Prof. Prabha Sharma, Department of Mathematics and Statistics, IIT Kanpur For more details on NPTEL visit http://nptel.iitm.ac.in

Linear programming and Extensions by Prof. Prabha Sharma, Department of Mathematics and Statistics, IIT Kanpur For more details on NPTEL visit http://nptel.iitm.ac.in

Linear programming and Extensions by Prof. Prabha Sharma, Department of Mathematics and Statistics, IIT Kanpur For more details on NPTEL visit http://nptel.iitm.ac.in

#### Mod-01 Lec-12 LPP Bounded variable, Revised Simplex algorithm, Duality theory, weak duality theorem.

Calculus of Variations and Integral Equations by Prof. D. Bahuguna,Dr. Malay Banerjee, Department of Mathematics and Statistics, IIT Kanpur. For more details on NPTEL visit http://nptel.iitm.ac.in

Calculus of Variations and Integral Equations by Prof. D. Bahuguna,Dr. Malay Banerjee, Department of Mathematics and Statistics, IIT Kanpur. For more details on NPTEL visit http://nptel.iitm.ac.in

Calculus of Variations and Integral Equations by Prof. D. Bahuguna,Dr. Malay Banerjee, Department of Mathematics and Statistics, IIT Kanpur. For more details on NPTEL visit http://nptel.iitm.ac.in