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  1. Introduction to applied linear algebra and linear dynamical systems, with applications to circuits, signal processing, communications, and control systems. Topics include: Least-squares aproximations of over-determined equations and least-norm solutions of underdetermined equations. Symmetric matrices, matrix norm and singular value decomposition. Eigenvalues, left and right eigenvectors, and dynamical interpretation. Matrix...more

  2. Stoichiometry of chemical reactions, quantum mechanical description of atoms, the elements and periodic table, chemical bonding, real and ideal gases, thermochemistry, introduction to thermodynamics and equilibrium, acid-base and solubility equilibria, introduction to oxidation-reduction reactions.

  3. Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODEs) deal with functions of one variable, which can often be thought of as time. Topics include: Solution of first-order ODE's by analytical, graphical and numerical methods; Linear ODE's,...more

  4. In the first or second year of his medical residency training in the US in 1978, Palmaz went to an early meeting of the Society of Cardiovascular Intervention and Radiology in New Orleans. The keynote speaker was a young professor from Germany, Andreas Grunzig, who was coming to the states to report on his early experience with balloon angioplasty. Grunzig was charasmatic and intelligent, and explained balloon angioplasty so...more

  5. Professor Sylvia Ceyer discuses titrations involving a strong acid and a strong base. Defining the point and equivalence and the end point. The lecture continues with a focus on calculating points on a pH curve, specifically calculating pH before the equivalence point, calculating volume of HCl needed to reach equivalence point, and calculating pH after the equivalence point. Finally, Professor Ceyer discusses characteristics of...more

  6. Tarun Khanna, Professor at Harvard Business School, highlights the ability of entrepreneurs to provide solutions to social problems by telling the story of a cardiac hospital in India. Khanna points out that the founder, a cardiac surgeon and entrepreneur, has been able to achieve incredible results unmatched by private or public institutions around the world by rethinking the scale on which healthcare is delivered. Khanna emphasizes that...more

  7. After a mock trial session to whittle down the most critical causes from an applicant pool of 10,000, Google.org chose just five areas of concentration: renewable energy, plug-in vehicles, prevention of pandemics, famines, and floods, public services for the poor, and job creation. And the organization's Executive Director, Larry Brilliant, offers this overview of these pressing global issues, and pinpoints Google's resources dedicated...more

  8. Life history covers three main classes of traits in organisms: age and size at maturity, number and size of offspring, and lifespan and reproductive investment. Organisms must make tradeoffs among these traits that typically cause them to come to evolutionary equilibrium at intermediate values. Life history traits are evolutionary solutions to the ecological problems of the risk of mortality and the acquisition of food, and they are...more

  9. Periodicity; How Sine And Cosine Can Be Used To Model More Complex Functions, Example Of Periodizing A Signal, Discussion Of How To Model Signals With Sinusoids, "One Period, Many Frequencies" Idea In Modeling Signals, Modeling A Signal As The Sum Of Modified Sinusoids (Formula), Complex Exponential Notation, Symmetry Property Of The Complex Coefficients In The Fourier Series, Discussion Of The Generality Of The Fourier Series...more

  10. Equity Risk Premia and Bond default spreads Equity Risk Premia and Real Estate Cap Rates Implied premia for emerging markets Betas - The problem with regression betas - Solutions

  11. From equity, to bonds, to real estate, MissionPoint Capital Partners co-founder Jesse Fink explains how traditional capital markets can be reoriented toward a low-carbon economy. Supporting non-profits is crucial in long-term environmental thinking, says Fink, as this sector pushes policy. But only for-profit business will catalyze true market solutions with pull.