Master the calculus of derivatives, integrals, coordinate systems, and infinite series. In …
Master the calculus of derivatives, integrals, coordinate systems, and infinite series. In this three-part series you will learn the mathematical notation, physical meaning, and geometric interpretation of a variety of calculus concepts. Along with the fundamental computational skills required to solve these problems, you will also gain insight into real-world applications of these mathematical ideas.
Part 1: Differentiation Part 2: Integration Part 3: Coordinate Systems & Infinite Series
This series of courses is part of the Open Learning Library, which is free to use. You have the option to sign up and enroll in the courses if you want to track your progress, or you can view and use all the materials without enrolling.
This course continues the content covered in 18.100 Analysis I. Roughly half …
This course continues the content covered in 18.100 Analysis I. Roughly half of the subject is devoted to the theory of the Lebesgue integral with applications to probability, and the other half to Fourier series and Fourier integrals.
This course covers vector and multi-variable calculus. It is the second semester …
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.
This calculus course covers differentiation and integration of functions of one variable, …
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.
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