Foundations of Calculus II

This course explores the foundations of integral calculus and the use of series in approximating the basic functions of mathematics. Topics include: Understanding the Riemann Integral and its flaws, the idea of Lebesque, the geometric meaning of the Riemann-Stieltjes integral, the Fundamental Theorem of Calculus, numerical integration, numerical series, uniform convergence of functions and the extraordinary nature of power series, Fourier Series. Typical terms may not reflect online offerings.

 

Note: Check with the institution regarding start/end dates, prices, and delivery method. These may vary according to program, section, and/or semester.