STARTS

Dec 5th 2016

Calculus: Single Variable Part 3 - Integration (Coursera)

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Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat. This brisk course covers the core ideas of single-variable Calculus with emphases on conceptual understanding and applications. The course is ideal for students beginning in the engineering, physical, and social sciences.

Distinguishing features of the course include: 1) the introduction and use of Taylor series and approximations from the beginning; 2) a novel synthesis of discrete and continuous forms of Calculus; 3) an emphasis on the conceptual over the computational; and 4) a clear, dynamic, unified approach.

In this third part--part three of five--we cover integrating differential equations, techniques of integration, the fundamental theorem of integral calculus, and difficult integrals.

Syllabus

Week 1: Integrating Differential Equations

Week 2: Techniques of Integration

Week 3: The Fundamental Theorem of Integral Calculus

Week 4: Dealing with Difficult Integrals