Final Exam General Topics The following list of final exam topics is representative of the range and type of general concepts you should expect to see on the final exam, but does not represent all possible problem topics. integration by parts trigonometric integrals trigonometric substitution integration of rational functions by partial fractions improper integrals approximate integration arc length area of a surface of revolution modeling with differential equations direction fields and Euler's method separable equations exponential growth and decay models logistic models first-order linear differential equations curves defined by parametric equations calculus with parametric curves polar coordinates areas and lengths in polar coordinates conic sections sequences series integral test comparison tests alternating series absolute convergence conditional convergence ratio and root tests power series representations of functions as power series Taylor and MacLaurin Series