Online courses directory (19947)
This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.
Course Formats
The materials have been organized to support independent study. The website includes all of the materials you will need to understand the concepts covered in this subject. The materials in this course include:
- Lecture Videos recorded on the MIT campus
- Recitation Videos with problem-solving tips
- Examples of solutions to sample problems
- Problem for you to solve, with solutions
- Exams with solutions
- Interactive Java Applets ("Mathlets") to reinforce key concepts
Content Development
Denis Auroux
Arthur Mattuck
Jeremy Orloff
John Lewis
International Women’s Voices has several objectives. It introduces students to a variety of works by contemporary women writers from Asia, Africa, the Middle East, Latin America and North America. The emphasis is on non-western writers. The readings are chosen to encourage students to think about how each author’s work reflects a distinct cultural heritage and to what extent, if any, we can identify a female voice that transcends national cultures. In lectures and readings distributed in class, students learn about the history and culture of each of the countries these authors represent. The way in which colonialism, religion, nation formation and language influence each writer is a major concern of this course. In addition, students examine the patterns of socialization of women in patriarchal cultures, and how, in the imaginary world, authors resolve or understand the relationship of the characters to love, work, identity, sex roles, marriage, and politics.
This course is designed for graduate students with an interest in using primary research literature to discuss and learn about current research around non-conventional light stable isotope geochemistry.
This graduate level course presents theories, methodologies, and applications of seismic imaging for solving the shallow near-surface (0 - 500 m) effects on the seismic data processing for oil and gas exploration on land. It introduces both conventional and advanced imaging technologies that have been developed in academia and the seismic industry.
The structure of the course is designed to have students acquire a broad understanding of the field of Marine Chemistry; to get a feel for experimental methodologies, the results that they have generated and the theoretical insights they have yielded to date.
This course covers the fundamental methods used for exploring the information content of observations related to kinematical and dynamical models.
This course covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space.
MIT OpenCourseWare offers another version of 18.02, from the Spring 2006 term. Both versions cover the same material, although they are taught by different faculty and rely on different textbooks. Multivariable Calculus (18.02) is taught during the Fall and Spring terms at MIT, and is a required subject for all MIT undergraduates.
The laws of nature are expressed as differential equations. Scientists and engineers must know how to model the world in terms of differential equations, and how to solve those equations and interpret the solutions. This course focuses on the equations and techniques most useful in science and engineering.
Course Format
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:
- Lecture Videos by Professor Arthur Mattuck.
- Course Notes on every topic.
- Practice Problems with Solutions.
- Problem Solving Videos taught by experienced MIT Recitation Instructors.
- Problem Sets to do on your own with Solutions to check your answers against when you're done.
- A selection of Interactive Java® Demonstrations called Mathlets to illustrate key concepts.
- A full set of Exams with Solutions, including practice exams to help you prepare.
Content Development
Haynes Miller
Jeremy Orloff
Dr. John Lewis
Arthur Mattuck
Other Versions
Other OCW Versions
OCW has published multiple versions of this subject. ![]()
Related Content
This course uses the tools of macroeconomics to study various macroeconomic policy problems in-depth. The problems range from economic growth in the long run, to government finances in the intermediate run, and economic stability in the short run. Many economic models used today are surveyed.
Introduction to econometric models and techniques, simultaneous equations, program evaluation, emphasizing regression. Advanced topics include instrumental variables, panel data methods, measurement error, and limited dependent variable models. May not count toward HASS requirement.
This course will guide students through the process of forming economic hypotheses, gathering the appropriate data, analyzing them, and effectively communicating their results.
Explores the role of government in the economy, applying tools of basic microeconomics to answer important policy questions such as government response to global warming, school choice by K-12 students, Social Security versus private retirement savings accounts, government versus private health insurance, setting income tax rates for individuals and corporations.
This course provides an elementary introduction to probability and statistics with applications. Topics include: basic combinatorics, random variables, probability distributions, Bayesian inference, hypothesis testing, confidence intervals, and linear regression.
The Spring 2014 version of this subject employed the residential MITx system, which enables on-campus subjects to provide MIT students with learning and assessment tools such as online problem sets, lecture videos, reading questions, pre-lecture questions, problem set assistance, tutorial videos, exam review content, and even online exams.
This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering. It parallels the combination of theory and applications in Professor Strang’s textbook Introduction to Linear Algebra.
Course Format
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.
Other Versions
Other OCW Versions
OCW has published multiple versions of this subject. ![]()
Related Content
This course explores the theoretical and empirical perspectives on individual and industrial demand for energy, energy supply, energy markets, and public policies affecting energy markets. It discusses aspects of the oil, natural gas, electricity, and nuclear power sectors and examines energy tax, price regulation, deregulation, energy efficiency and policies for controlling emission.
This course explores how information technology is reshaping different dimensions of the U.S. labor market: the way work is organized, the mix of occupations, the skills required to perform in an occupation, economy-wide labor productivity, and the distribution of wages.
This course is an introduction to labor economics with an emphasis on applied microeconomic theory and empirical analysis. We are especially interested in the link between research and public policy. Topics to be covered include: labor supply and demand, taxes and transfers, minimum wages, immigration, human capital, education production, inequality, discrimination, unions and strikes, and unemployment.
This course gives a historical perspective on financial panics. Topics include the growth of the industrial world, the Great Depression and surrounding events, and more recent topics such as the first oil crisis, Japanese stagnation, and conditions following the financial crisis of 2008.
This course covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.
This is a communication intensive supplement to Linear Algebra (18.06). The main emphasis is on the methods of creating rigorous and elegant proofs and presenting them clearly in writing. The course starts with the standard linear algebra syllabus and eventually develops the techniques to approach a more advanced topic: abstract root systems in a Euclidean space.
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