MTH2050 Calculus II
This is the second course in Calculus. Topics include a) Logarithmic and Exponential Functions including inverse functions, natural logarithmic and exponential functions, exponential models, inverse trigonometric functions, and L'Hopital's rule. b) Integration Techniques including integration by parts, trigonometric integrals, trigonometric substitution, partial fraction, numerical integration, improper integrals and an introduction to differential equations. c) Sequences including infinite series, divergence, integral, ratio, root, and comparison tests. d) Power Series including approximating function and polynomials, and Taylor series. e) Parametric and Polar Curves including parametric equations, polar coordinates, and conic sections. f) Vectors and Vector-Valued Functions including vectors in planes and three dimensions, dot and cross products, lines and curves in space, calculus of vector-valued functions, motion in space, length of curves, and curvature and normal vectors. Students are required to have a TI-83 Plus, TI-84 Plus, or equivalent graphing calculator.