6.301 is a course in analog circuit analysis and design. We cover the tools and methods necessary for the creative design of useful circuits using active devices. The class stresses insight and intuition, applied to the design of transistor circuits and the estimation of their performance. We concentrate on circuits using the bipolar junction transistor, but the techniques that we study can be equally applied to circuits using JFETs, MOSFETs, MESFETs, future exotic devices, or even vacuum tubes.

In the electrical engineering, solid-state materials and the properties play an essential role. A thorough understanding of the physics of metals, insulators and semiconductor materials is essential for designing new electronic devices and circuits. After short introduction of the IC fabrication process, the course starts with the crystallography. This will be followed by the basic principle of the quantum mechanics, the sold-state physics, band-structure and the relation with electrical properties of the solid-state materials. When the material physics has been throughly understood, the physics of the semiconductor device follows quite naturally and can be understood quickly and efficiently. Study Goals: The student can 1) determine the crystal structure, the density of atoms and the Miller indices of a crystal, 2) apply Schrodinger's wave equation to various potential functions and derive a probability of finding electrons, 3) discuss the concept of energy band formation and difference of material properties in terms of the band, 4) derive the concentrations of electron and holes with a given temperature in terms of Fermi energy, and 5) can discuss drift, diffusion and scattering of carriers in a semiconductor under various temperature and impurity concentrations.

In this lesson, students explore solid waste and its effects on the environment. They will collect classroom trash for analysis and build model landfills in order to understand the process and impact of solid waste management. Students will understand the role of engineers in solid waste management.

The typical system of equations or inequalities problem gives the system and asks for the graph of the solution. This task turns the problem around. It gives a solution set and asks for the system that corresponds to it. The purpose of this task is to give students a chance to go beyond the typical problem and make the connections between points in the coordinate plane and solutions to inequalities and equations. Students have to focus on what the graph is showing.

Represent inequalities on a number line.
Represent inequalities using interval notation.
Use the addition and multiplication properties to solve algebraic inequalities and express their solutions graphically and with interval notation.
Solve inequalities that contain absolute values.
Combine properties of inequalities to isolate variables, solve algebraic inequalities, and express their solutions graphically.
Simplify and solve algebraic inequalities using the distributive property to clear parentheses and fractions.

12.000 Solving Complex Problems is designed to provide students the opportunity to work as part of a team to propose solutions to a complex problem that requires an interdisciplinary approach. For the students of the class of 2013, 12.000 will revolve around the issues associated with what we can and must do about the steadily increasing amounts CO2 in Earth's atmosphere.Each year's class explores a different problem in detail through the study of complementary case histories and the development of creative solution strategies. It includes training in Web site development, effective written and oral communication, and team building. Initially developed with major financial support from the d'Arbeloff Fund for Excellence in Education, 12.000 is designed to enhance the freshman experience by helping students develop contexts for other subjects in the sciences and humanities, and by helping them to establish learning communities that include upperclassmen, faculty, MIT alumni, and professionals in science and engineering fields.

This short video and interactive assessment activity is designed to teach second graders about solving decimal word puzzles.

The culminating energy project is introduced and the technical problem solving process is applied to get students started on the project. By the end of the class, students should have a good perspective on what they have already learned and what they still need to learn to complete the project.

This task requires students to think about equations and solve them using pictures.

Students are introduced to two real-life problems that can be solved by using the engineering design process. For the first one, they follow along with a slide presentation that describes how a group of students built an organizer to help organize their teacher’s desk. The presentation introduces students to the key steps in the engineering design process. Next, in discussion groups, they read through a scenario in which middle school student Marisol struggles to keep her locker organized. They read the case study together, stopping and discussing at key points to share ideas and consider Marisol’s progress as she moves through the engineering design cycle to design and implement a solution. As an optional hands-on activity extension, students construct their own locker organizer using scrap materials. This introduction to the engineering design process sets up students to be able to conduct their own real-world design projects. A case study handout, group leader discussion sheet and slide presentation are provided.

This short video and interactive assessment activity is designed to teach fourth graders about solving length and distance problems involving time - word problems.

This short video and interactive assessment activity is designed to teach fifth graders about solving length and distance problems involving time - word problems.

This short video and interactive assessment activity is designed to teach third graders about solving multi-step problems involving time.

This short video and interactive assessment activity is designed to teach third graders about solving for elapsed time related to rate.

This short video and interactive assessment activity is designed to teach fourth graders about solving for elapsed time related to rate.

This short video and interactive assessment activity is designed to teach third graders about solving for elapsed time in a sequence of events - word problems.

Sal solves a linear system with 3 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form. Gaussian Elimination is the method, reduced row echelon is just the final result.

Students use a simple seesaw to visualize solving a two- or three-step mathematics equation, while solving a basic structural engineering weight balance problem in the process. They solve two-step equations on a worksheet and attempt to solve the challenge of "balancing a beam" through hands-on problems. The use of sensor equipment for correct position monitoring aids students in balancing the structure, as well as balancing the equation as they solve it on paper.

Sons et lettres provides a set of classroom materials to train students to hear and produce the sounds of French and to recognize the regular spellings used to represent those sounds in print. The materials are inspired by a desire to help students feel more confident about their French pronunciation and more at home saying the many French words, familiar and unfamiliar, which they encounter in their studies, in French media and in their travels. In our experience, students are not given sufficient preparation to successfully decipher and pronounce French words. These materials are intended to fill that gap and to clear away the confusion that English speakers often feel when they see French words with seemingly mysterious combinations of letters.

Sor Juana Inés de la Cruz, la primer gran poeta de América Latina, es considerada una de la figuras literarias más importantes del continente americano y una de las primeras feministas. En el siglo XVII, defendió su derecho a la educación, proponiendo la mayor participación de las mujeres en la cultura y la pedagogía en una sociedad dominada por los hombres.