The topic of this video module is genetic basis for variation among humans. The main learning objective is that students will learn the genetic mechanisms that cause variation among humans (parents and children, brothers and sisters) and how to calculate the probability that two individuals will have an identical genetic makeup. This module does not require many prerequisites, only a general knowledge of DNA as the genetic material, as well as a knowledge of meiosis.

This BLOSSOMS lesson will help students conceptualize the enormity of geologic time and learn about important events in Earth s history. Students will also learn how geologic time can help explain seemingly incomprehensible processes, like the formation of the Himalayan Mountains from a flat plain to their current height, and the evolution of a tiny group of reptiles into enormous dinosaurs. During the breaks, students will construct a geologic timeline of their own in the classroom and do simple calculations to determine how long amounts of time can lead to impressive changes in the height of the Himalayan Mountains and the size of a group of reptiles.

Introduction to discrete and computational geometry. Topics covered: planar graphs, geometric graphs, the theory of crossings, extremal graph theory, arrangements of curves and points in the plane (mainly pseudolines and pseudocircles), problems involving distances, Gallai-Sylvester-type problems, Davenport-Schinzel sequences. Emphasis on teaching methods in combinatorial geometry. Many results presented are recent, and include open problems.

This course is an intensive introduction to architectural design tools and process, and is taught through a series of short exercises. The conceptual basis of each exercise is in the interrogation of the geometric principles that lie at the core of each skill. Skills covered in this course range from techniques of hand drafting, to generation of 3D computer models, physical model-building, sketching, and diagramming. Weekly lectures and pin-ups address the conventions associated with modes of architectural representation and their capacity to convey ideas. This course is tailored and offered only to first-year M.Arch students.

A rigorous introduction designed for mathematicians into perturbative quantum field theory, using the language of functional integrals. Basics of classical field theory. Free quantum theories. Feynman diagrams. Renormalization theory. Local operators. Operator product expansion. Renormalization group equation. The goal is to discuss, using mathematical language, a number of basic notions and results of QFT that are necessary to understand talks and papers in QFT and string theory.

This is a second-semester graduate course on the geometry of manifolds. The main emphasis is on the geometry of symplectic manifolds, but the material also includes long digressions into complex geometry and the geometry of 4-manifolds, with special emphasis on topological considerations.

The Girls Who Build Cameras workshop for high school girls is a one-day, hands-on introduction to camera physics and technology (i.e. how Instagram works!) at the MIT Lincoln Laboratory Beaverworks Center. The workshop includes tearing down old dSLR cameras, building a Raspberry Pi camera, and designing Instagram filters and Photoshop tools. Participants also get to listen to keynote speakers from the camera technology industry, including Kris Clark who engineers space cameras for NASA and MIT Lincoln Laboratory, and Uyanga Tsedev who creates imaging probes to help surgeons find tumors at MIT

The Girls Who Build: Make Your Own Wearables workshop for high school girls is an introduction to computer science, electrical and mechanical engineering through wearable technology. The workshop, developed by MIT Lincoln Laboratory, consists of two major hands-on projects in manufacturing and wearable electronics. These include 3D printing jewelry and laser cutting a purse, as well as programming LEDs to light up when walking. Participants learn the design process, 3D computer modeling, and machine shop tools, in addition to writing code and building a circuit.

This video lesson highlights how science can be learned from daily life experiences. It emphasizes the ways in which simple laws of physics can be understood from personal observations and experiences, and in fact it demonstrates that we use these laws as if they were built into our instincts. The video also introduces Newton's laws of motion. The title, Gravity at Work, comes from a fascinating example of two laborers working at a construction site in Pakistan. In this lesson, Newtonian equations of motion are used to determine the velocities and height achieved by the projectile in a very simple and basic manner.

This video lesson uses the technique of induction to show students how to analyze a seemingly random occurrence in order to understand it through the development of a mathematical model. Using the medium of a simple game, Dr. Lodhi demonstrates how students can first apply the 'rules' to small examples of the game and then, through careful observation, can begin to see the emergence of a possible pattern. Students will learn that they can move from observing a pattern to proving that their observation is correct by the development of a mathematical model. Dr. Lodhi provides a second game for students in the Teacher Guide downloadable on this page. There are no prerequisites for this lesson and needed materials include only a blackboard and objects of two different varieties - such as plain and striped balls, apples and oranges, etc. The lesson can be completed in a 50-minute class period.

This class introduces the student to the use of small telescopes, either for formal research or as a hobby.

Highlights of Calculus is a series of short videos that introduces the basics of calculus—how it works and why it is important. The intended audience is high school students, college students, or anyone who might need help understanding the subject.

This course focuses on an in-depth reading of Principia Mathematica Philosophiae Naturalis by Isaac Newton, as well as several related commentaries and historical philosophical texts.

This course examines the history of MIT through the lens of the broader history of science and technology, and vice versa. The course covers the founding of MIT in 1861 and goes through the present, including such topics as William Barton Rogers, educational philosophy, biographies of MIT students and professors, intellectual and organizational development, the role of science, changing laboratories and practices, and MIT's relationship with Boston, the federal government, and industry. Assignments include short papers, presentations, and final paper. A number of classes are concurrent with the MIT150 Symposia.

This course offers an introduction to the history and historiography of science from ancient Greece to the present. It is designed to serve as an introduction for those who have no prior background in the field and to deepen the knowledge of those who already do. We will consider how the history of science has responded to its encounters with philosophy, sociology, economics, and anthropology. Our readings and discussions will focus on determining what makes particular works effective, understanding major contemporary trends and debates in the history of science, and establishing resources for further research.

This course covers the same material as Differential Equations (18.03) with more emphasis on theory. In addition, it treats mathematical aspects of ordinary differential equations such as existence theorems.

The unit “mole” is used in chemistry as a counting unit for measuring the amount of something. One mole of something has 6.02×1023 units of that thing. The magnitude of the number 6.02×1023 is challenging to imagine. The goal of this lesson is for students to understand just how many particles Avogadro's Number truly represents, or, how big is a mole. This lesson is meant for students currently enrolled in a first or second year chemistry course. This lesson is designed to be completed within one approximately 1 hour class; however, completion of optional activities 4 and 5 may require a longer class period or part of a second class period. This lesson requires only pencil and paper, as the activities suggested in this video place an emphasis on helping students develop their “back of the envelope” estimation skills. In fact, calculators and other measuring devices are explicitly discouraged. However, students may require additional supplies (poster board, colored pencils, markers, crayons, etc.) for the final optional/assessment activity, which involves creating a poster to demonstrate the size of a mole of their favorite macroscopic object.

This video is the second lesson in the How Cold Is Cold? BLOSSOMS series and examines the properties of materials under low temperature conditions. The video consists of a series of fascinating demonstrations with liquid nitrogen, which boils at 77K (-196 C -321 F). These demonstrations include the following: What goes up, may not come down; Is that supposed to be cold? - thermal insulation; Some properties of liquid nitrogen; Making ice cream - the slow way and the fast way; Try not to explode: expansion of liquid nitrogen and the ideal gas law; Making the air cold: phase changes and the affect on volume; No frozen fingers: the changes in mechanical properties; Resistivity at 77K; The magic magnet: the Meissner Effect; Cautions in using liquid nitrogen

This video lesson is part of a two-part series and introduces the concept of temperature. Temperature can be a challenging concept to convey since our perception is tied to words that are relative to our own experience, which varies quite a lot. A short activity to be performed in the classroom shows the need for a temperature scale since qualitative descriptions are not adequate. Temperatures that vary from the hottest to coldest recorded temperatures on earth are shown in advance of introducing the boiling temperatures of a number of cryogenic liquids.

The aim of this lesson is to introduce the concepts of heat and temperature, which many students find confusing. During the lesson, students will be asked to explore and discuss situations where even though the same amount of heat is absorbed by several substances, the increase in temperature of the substances is different. This video lesson presents a series of stories relating to heat and temperature, beginning with a visit to a factory where gamat oil is produced. In the video, a man dips his finger into boiling gamat oil yet feels no pain. The scene will draw students’ attention and raise their curiosity about how this is possible. Students will also carry out several experiments to compare and relate the situations where the same amount of heat absorbed by substances will result in different temperatures. By the end of this lesson, students will understand the term “specific heat capacity” and will recognize the difference between a high or low specific heat capacity. They will also understand the term “thermal diffusivity” and how this relates to the topic of the lesson. This lesson offers some authentic learning experiences where students will have the opportunity to relate the concept of heat and temperature to everyday situations. It will take about 50 minutes to complete - however, you may want to divide the lesson into two classes if the activities require more time.