Calculus: Single Variable, this course provides a brisk, challenging, and dynamic treatment of differential and integral calculus, with an emphasis on conceptual understanding and applications to the engineering, physical, and social sciences.
About the course
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:
- the introduction and use of Taylor series and approximations from the beginning;
- a novel synthesis of discrete and continuous forms of Calculus;
- an emphasis on the conceptual over the computational; and
- a clear, dynamic, unified approach.
Course Syllabus
Chapter 1: Functions
Chapter 2: Differentiation
Chapter 3: Integration
Chapter 4: Applications
Chapter 5: Discretization
Prerequisites
Students are expected to have prior exposure to Calculus at the high-school level.
Course Sessions
September 8, 2014 - December 8, 2014
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