Course Description Physics I is a first-year physics course which introduces students to classical mechanics. Topics include: space and time; straight-line kinematics; motion in a plane; forces and equilibrium; experimental basis of Newton’s laws; particle dynamics; universal gravitation; collisions and conservation laws; work and potential energy; vibrational motion; conservative forces; inertial forces and non-inertial […]
Lesson I-Dynamics and Control I
Course Description Introduction to the dynamics and vibrations of lumped-parameter versions of mechanical techniques. Kinematics. Force-momentum formulation for techniques of particles as well as rigid bodies in planar motion. Work-energy concepts. Digital displacements and also virtual work. Lagrange’s equations for techniques of particles and rigid bodies in planar motion.
Lesson II-Mechanics and Materials II
This course provides Mechanical Engineering students with an awareness of various responses exhibited by solid engineering materials when subjected to mechanical and thermal loadings; an introduction to the physical mechanisms associated with design-limiting behavior of engineering materials, especially stiffness, strength, toughness, and durability; an understanding of basic mechanical properties of engineering materials.
Lesson III-Mechanics and Materials I
Course Description This course provides an introduction to the mechanics of solids with applications to science and engineering. We emphasize the three essential features of all mechanics analyses, namely: (a) the geometry of the motion and/or deformation of the structure, and conditions of geometric fit, (b) the forces on and within structures and assemblages; […]
Lesson IV-How and Why Machines Work
Course Description Subject studies how and why machines work, how they are conceived, how they are developed (drawn), and how they are utilized. Students learn from the hands-on experiences of taking things apart mentally and physically, drawing (sketching, 3D CAD) what they envision and observe, taking occasional field trips, and completing an individual term […]
Lesson V-Fundamentals of Eng Design
Student teams formulate and complete space/earth/ocean exploration-based design projects with weekly milestones. This course introduces core engineering themes, principles, and modes of thinking, and includes exercises in written and oral
Lesson I-Complex Variables with Applications
Course Description This course explored topics such as complex algebra and functions, analyticity, contour integration, Cauchy’s theorem, singularities, Taylor and Laurent series, residues, evaluation of integrals, multivalued functions, potential theory in two dimensions, Fourier analysis and Laplace transforms.
Lesson II-Honors Differential Equations
Course Description This program covers the exact same material since Differential Equations (18.03) alongside more emphasis in concept. In addition, it treats mathematical areas of traditional differential equations like existence theorems. Lecture Notes and Readings
Lesson III-Differential Equations
Course Description 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.
Lesson IV-Calculus of Several Variables
Course Description This is a variation on 18.02 Multivariable Calculus. It covers the same topics as in 18.02, but with more focus on mathematical concepts. Lecture Notes Vectors in R2 and R3 Dot product Cross product
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