This course is an introduction to differential and integral calculus. It begins with a short review of basic concepts surrounding the notion of a function. Then it introduces the important concept of the limit of a function, and use it to study continuity and the tangent problem. The solution to the tangent problem leads to the study of derivatives and their applications. Then it considers the area problem and its solution, the definite integral. The course concludes with the calculus of elementary transcendental functions.

Published in 1991 and still in print from Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online Instructor's Manual and a student Study Guide. Prof. Strang has also developed a related series of videos, Highlights of Calculus, on the basic ideas of calculus.

Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Complex Variables, Differential Equations, and Linear Algebra is the third course in the series, consisting of 20 Videos, 3 Study Guides, and a set of Supplementary Notes. Students should have mastered the first two courses in the series (Single Variable Calculus and Multivariable Calculus) before taking this course. The series was first released in 1972, but equally valuable today for students who are learning these topics for the first time.

Calculus Revisited is a series of videos and related resources that covers the materials normally found in a freshman-level introductory calculus course.  The series was first released in 1970 as a way for people to review the essentials of calculus.  It is equally valuable for students who are learning calculus for the first time.

Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Multivariable Calculus is the second course in the series, consisting of 26 videos, 4 Study Guides, and a set of Supplementary Notes. The series was first released in 1971 as a way for people to review the essentials of calculus. It is equally valuable for students who are learning calculus for the first time.

This online textbook provides an overview of Calculus in clear, easy to understand language designed for the non-mathematician.

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.

Differential calculus in one and several dimensions. Java applets and spreadsheet assignments. Vector algebra in 3D, vector- valued functions, gradient, divergence and curl, Taylor series, numerical methods and applications. Given in the first half of the first term. However, those wishing credit for 18.013A only, must attend the entire semester. Prerequisites: a year of high school calculus or the equivalent, with a score of 4 or 5 on the AB, or the AB portion of the BC, Calculus test, or an equivalent score on a standard international exam, or a passing grade on the first half of the 18.01 Advanced Standing exam.

Calculus with Theory, covers the same material as 18.01 (Single Variable Calculus), but at a deeper and more rigorous level. It emphasizes careful reasoning and understanding of proofs. The course assumes knowledge of elementary calculus.

This activity is about planetary climate. Once familiar with the factors that determine a planet's surface temperature, learners will use an interactive spreadsheet model of a planet's atmosphere to determine if greenhouse gases, luminosity of the source, the distance of the planet from the source and the albedo of the planet can be manipulated so that the average surface temperature on Mars or Venus could support human life. Learners will then be asked to make some conclusions about these methods and suggest improvements for the spreadsheet model (see related resources for link to this model). The activity requires use of Microsoft Excel software. This is Activity D in the fourth module, titled "How do Atmospheres Affect Planetary Temperatures?," of "Earth Climate Course: What Determines a Planet's Climate?."

This is an activity about classifying planetary characteristics. Learners will analyze the provided information about each planet in order to make graphs and Venn diagrams. Then, using both, learners will identify similarities and differences of the planets in the Solar System. This is Activity C-11 as part of The Universe At Your Fingertips curriculum, available for purchase.

This course is designed for users with a working knowledge of capital budgeting who want to improve their current practices. The course focuses on three stages of capital budgeting analysis. The purpose of the course is to introduce new concepts and ideas that will improve capital budgeting; such as option pricing and post audit analysis. Course Level: Intermediate and Advanced - Since this course goes beyond traditional capital budgeting analysis, it is recommended that users have an understanding of capital budgeting prior to taking this course. Recommended for 2.0 hours of CPE. Course Method: Inter-active self study with audio clips, self-grading exam, and certificate of completion.

Subject addresses the evolution of the modern capitalist economy and evaluates its current structure and performance. Various paradigms of economics are contrasted and compared (neoclassical, Marxist, socioeconomic, and neocorporate) in order to understand how modern capitalism has been shaped and how it functions in today's economy. Readings include classics in economic thought as well as contemporary analyses. Subject stresses general analytic reasoning and problem formulation rather than specific analytic techniques. May not be used for economics concentration. One economics HASS-D subject may be used as an economics elective for the economics major and minor. This course examines the implications of economic theories for social and political organization in the context of the historical evolution of industrial societies. Among the authors whose theories will be discussed are Ayn Rand, Milton Friedman, Karl Marx, Max Weber, Joseph Schumpeter, and John Kenneth Galbraith. Emphasis will be placed on class discussion of specific texts. Students will be encouraged to ground their views in concrete textual and empirical material and to consider the implications of different arguments for the understanding of personal, political, and economic events today.

Cards, Cars and Currency is a curriculum unit that challenges students to become involved in three specific areas of personal finance: credit cards, debit cards and purchasing a car.

This course has been designed as a seminar to give students an understanding of how scientists with medical or scientific degrees conduct research in both hospital and academic settings. There will be interactive discussions with research clinicians and scientists about the career opportunities and research challenges in the biomedical field, which an MIT student might prepare for by obtaining an MD, PhD, or combined degrees. The seminar will be held in a case presentation format, with topics chosen from the radiological sciences, including current research in magnetic resonance imaging, positron emission tomography and other nuclear imaging techniques, and advances in radiation therapy. With the lectures as background, we will also examine alternative and related options such as biomedical engineering, medical physics, and medical engineering. We'll use as examples and points of comparisons the curriculum paths available through MIT's Department of Nuclear Science and Engineering. In past years we have given very modest assignments such as readings in advance of or after a seminar, and a short term project.

Carrier systems involve the design, operation, and management of transportation networks, assets, personnel, freight, and passengers. A number of different carrier systems are contrasted while models and tools for analyzing, optimizing, planning, managing, and controlling these systems are presented.

This course is organized around seven projects and a capstone assignment. Each project includes readings, quizzes, and discussions about concepts and tools in cartography and visualization. Throughout the course, students complete “mile marker” assignments that are designed to help them progress toward the capstone assignment. Through the course projects, students confront realistic problem scenarios that incorporate such skills and concepts as creating symbolization schemes, coordinate systems and map projections, creating isoline and other terrain representations, interpolation, classification schemes, multivariate representation and representation of data uncertainty. Those who successfully complete the course are able to design and produce effective reference and thematic maps using GIS software and can interpret and critique maps and related information graphics.

Introduction to urban form and design, focusing on the physical, historical, and social form of cities. Selected cities are analyzed, drawn, and compared, to develop a working understanding of urban and architectural form. The development of map making and urban representation is discussed, and use of the computer is required. Special focus on the historical development of the selected cities, especially mid-nineteenth and mid-twentieth century periods of expansion. Readings on urban design theory in the twentieth century and a weekly discussion/seminar on them. Methods class for S.M.Arch.S. students in Architecture and Urbanism.

" TV programs such as "Law and Order" show how forensic experts are called upon to give testimony that often determines the outcome of court cases. Engineers are one class of expert who can help display evidence in a new light to solve cases. In this seminar you will be part of the problem-solving process, working through both previously solved and unsolved cases. Each week we will investigate cases, from the facts that make up each side to the potential evidence we can use as engineers to expose culprits. The cases range from disintegrating airplane engines to gas main explosions to Mafia murders. This seminar will be full of discussions about the cases and creative approaches to reaching the solutions. The approach is hands-on so you will have a chance to participate in the process, not simply study it. Some background reading and oral presentation are required."

The goal of this class is to prove that category theory is a powerful language for understanding and formalizing common scientific models. The power of the language will be tested by its ability to penetrate into taken-for-granted ideas, either by exposing existing weaknesses or flaws in our understanding, or by highlighting hidden commonalities across scientific fields.