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  • Courseware 
    MIT Open Courseware - Linear Algebra

    MIT Open Courseware - Linear Algebra

    This course has been designed for independent study. It provides everything you will need to understand the concepts covered in the course. The materials include:
    A complete set of Lecture Videos by Professor Gilbert Strang.
    Summary Notes for all videos along with suggested readings in Prof. Strang’s textbook Linear Algebra.
    Problem Solving Videos on every topic taught by an experienced MIT Recitation Instructor.
    Problem Sets to do on your own with Solutions to check your answers against when you’re done.
    A selection of Java® Demonstrations to illustrate key concepts.
    A full set of Exams with Solutions, including review material to help you prepare.

    Course related:
    AMA1120 Basic Mathematics II
    Subjects:
    Mathematics and Statistics
    Keywords:
    Algebras Linear
    Resource Type:
    Courseware
     
  • Courseware 
    Physics III: Vibrations and Waves

    Physics III: Vibrations and Waves

    Vibrations and waves are everywhere. If you take any system and disturb it from a stable equilibrium, the resultant motion will be waves and vibrations. Think of a guitar string—pluck the string, and it vibrates. The sound waves generated make their way to our ears, and we hear the string’s sound. Our eyes see what’s happening because they receive the electromagnetic waves of the light reflected from the guitar string, so that we can recognize the beautiful sinusoidal waves on the string.

    Subjects:
    Physics
    Keywords:
    Waves Vibration
    Resource Type:
    Courseware
     
  • Courseware 
    Introduction to Convex Optimization

    Introduction to Convex Optimization

    This course aims to give students the tools and training to recognize convex optimization problems that arise in scientific and engineering applications, presenting the basic theory, and concentrating on modeling aspects and results that are useful in applications. Topics include convex sets, convex functions, optimization problems, least-squares, linear and quadratic programs, semidefinite programming, optimality conditions, and duality theory. Applications to signal processing, control, machine learning, finance, digital and analog circuit design, computational geometry, statistics, and mechanical engineering are presented. Students complete hands-on exercises using high-level numerical software.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Convex functions Mathematical optimization
    Resource Type:
    Courseware
     
  • Courseware 
    Differential Equations

    Differential Equations

    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 (ODE's) deal with functions of one variable, which can often be thought of as time.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Differential equations
    Resource Type:
    Courseware
     
  • Courseware 
    Calculus with Theory

    Calculus with Theory

    The course is taught using the textbook by T. Apostol, "Calculus" Vol. I Second Edition (1967) and the additional course notes by James Raymond Munkres, Professor of Mathematics, Emeritus.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Calculus Mathematical analysis
    Resource Type:
    Courseware
     
  • Courseware 
    Mechanics of Material Systems: An Energy Approach

    Mechanics of Material Systems: An Energy Approach

    This course provides an introduction to continuum mechanics and material modelling of engineering materials based on first energy principles: deformation and strain; momentum balance, stress and stress states; elasticity and elasticity bounds; plasticity and yield design. The overarching theme is a unified mechanistic language using thermodynamics, which allows understanding, modelling and design of a large range of engineering materials.

    Subjects:
    Physics
    Keywords:
    Continuum mechanics Solid state physics Mechanics
    Resource Type:
    Courseware
     
  • Courseware 
    Linear Algebra

    Linear Algebra

    This course offers a rigorous treatment of linear algebra, including vector spaces, systems of linear equations, bases, linear independence, matrices, determinants, eigenvalues, inner products, quadratic forms, and canonical forms of matrices.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Algebras Linear
    Resource Type:
    Courseware
     
  • Courseware 
    Optics

    Optics

    This course provides an introduction to optical science with elementary engineering applications. Topics covered in geometrical optics include: ray-tracing, aberrations, lens design, apertures and stops, radiometry and photometry. Topics covered in wave optics include: basic electrodynamics, polarization, interference, wave-guiding, Fresnel and Fraunhofer diffraction, image formation, resolution, space-bandwidth product. Analytical and numerical tools used in optical design are emphasized. Graduate students are required to complete assignments with stronger analytical content, and an advanced design project.

    Subjects:
    Physics
    Keywords:
    Optics Geometrical optics
    Resource Type:
    Courseware
     
  • Courseware 
    Organic Chemistry I

    Organic Chemistry I

    This subject deals primarily with the basic principles to understand the structure and reactivity of organic molecules. Emphasis is on substitution and elimination reactions and chemistry of the carbonyl group. The course also provides an introduction to the chemistry of aromatic compounds.

    Subjects:
    Chemistry
    Keywords:
    Carbonyl compounds Molecular structure Chemistry Organic Aromatic compounds
    Resource Type:
    Courseware
     
  • Courseware 
    Biological Chemistry II

    Biological Chemistry II

    This course is an advanced treatment of biochemical mechanisms that underlie biological processes. Topics include macromolecular machines such as the ribosome, the proteasome, fatty acid synthases as a paradigm for polyketide synthases and non-ribosomal polypeptide synthases, and polymerases. Emphasis will be given to the experimental methods used to unravel how these processes fit into the cellular context as well as the coordinated regulation of these processes.

    Subjects:
    Biochemistry and Biology
    Keywords:
    Biochemistry
    Resource Type:
    Courseware