MATH C257 Content Review

Prerequisite MATH C152

In Math C257 students are expected to consistently write the derivative of expressions that contain the inverse trigonometric, logarithmic, exponential, hyperbolic, and inverse hyperbolic functions; evaluate integrals (definite and indefinite) by using fundamental integral formulas, partial fractions, integration by parts, and substitutions, trigonometric substitutions; expand skills with limits, including l’Hôpital’s Rule and improper integrals; identify the conic section represented by a second degree equation and give the foci, vertices, and directricies; use polar coordinates to graph equations and to find area, arc length, and intersection of curves; use the tests for convergence and divergence of sequences and series; write infinite series representations of various functions; and use the fundamental concepts of vectors including sums, dot product, and projection. Students successfully demonstrating these Math C152 skills will be prepared for Math C257.