Calculus 2 Scientific Modeling and Integral Calculus
This course continues the study of the calculus through scientific modeling. While Calculus 1 is concerned with local changes in a function, Calculus 2 focuses on accumulated changes. Models solved by accumulation functions lead to the definition of the integral and the Fundamental Theorem of Calculus.
Additional topics include numerical and analytic techniques of integration; trigonometric functions and dynamical systems; modeling periodic or quasiperiodic phenomena; local approximation of functions by Taylor polynomials and Taylor series; and approximation of periodic functions on an interval by trigonometric polynomials and Fourier series.