Calculus: Single Variable Part 3 - Integration
About this course
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.
90/100
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- 39/45
- Who stands behind it
- 35/35
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- 16/20
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What you'll learn
- understanding and applying integration techniques
- grasping the fundamental theorem of integral calculus
- solving integrals and differential equations
Course objectives
- to develop a strong conceptual foundation in calculus
- to synthesize discrete and continuous calculus forms
- to apply calculus concepts to various fields including engineering and the sciences
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