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18.01SC

Single Variable Calculus

Undergraduate · Historical course

Fall 2010

This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. Calculus is fundamental to many scientific disciplines including physics, engineering, and economics. Course Format This course has been designed for independent study. It includes all of the materials you will need to understand the concepts covered in this subject. The materials in this course include: - **Lecture Videos** with supporting written notes - **Recitation Videos** of problem-solving tips - **Worked Examples** with detailed solutions to sample problems - **Problem sets** with solutions - **Exams** with solutions - **Interactive Java Applets** ("Mathlets") to reinforce key concepts Content Development David Jerison    Arthur Mattuck    Haynes Miller    Benjamin Brubaker    Jeremy Orloff Heidi Burgiel    Christine Breiner    David Jordan    Joel Lewis About OCW Scholar OCW Scholar courses are designed specifically for OCW's single largest audience: independent learners. These courses are substantially more complete than typical OCW courses, and include new custom-created content as well as materials repurposed from previously published courses.

Readings

  • No textbook is required for this OCW Scholar course.
    Listed reading
  • Problem sets occur at the end of each part; these were taken directly from homework assigned at MIT in the Fall of 2009. As you start each part, familiarize yourself with the problems in the problem set. This will enable you to work on each problem as you gain the knowledge you need to solve it. Once you have completed the problem set you can check your answers against the solutions provided. (The problem sets are carefully selected from a longer list of questions available to you. Do not hesitate to work any problem that piques your interest.)
    Listed reading
  • This OCW Scholar course is self-contained and no textbook is required. If you have access to a single variable calculus text it will probably serve as a useful companion to this course, although you might have to deal with slight differences in terminology and notation.
    Listed reading
Sources