Calculus II

MAT 296 comprises the second four credits of the first-year calculus sequence required of all science and engineering students at Syracuse University. The exponential logarithm and inverse trigonometric functions are defined and their calculus developed. Topics covered in the course include: separable and linear differential equations, especially as they relate to exponential growth.; L’Hopital’s rule and limits of indeterminate forms, with applications to improper integrals; techniques of integration including: by parts, by partial fractions, and by trigonometric substitution; a brief introduction to calculus in polar coordinates and calculus of parametric curves; infinite sequences, convergence and divergence; infinite series, ratio test, root test, comparison test, integral test and alternating series test; power series and computations with power series, radius of convergence; and Taylor and Maclaurin series.