MATE-1215 Integral Calculus with Differential Equations (Honors)
In content, this course is similar to MATE-1214
, but topics are discussed more in depth. The content covers integration by parts, trigonometric integrals, trigonometric substitution, partial fractions, integration strategies, improper integrals, arc length, surface area of revolution, applications in other disciplines, modeling with differential equations of the first order, separable equations, exponential growth and decay, logistic equations, linear equation of the first order, parametric equations, calculus with parametric equations, polar coordinates, areas and length in polar coordinates, successions, series, criteria of integrals, comparison criteria, alternating series, rate and nth root criteria, series of powers, representation in series of powers, Taylor and Maclaurin series, complex numbers, linear differential equations of the second order of constant coefficients.
Catalog page for this course