You may also want to preview the Journey through Calculus CD for finding indeterminate limits. Mat 116 is the third of Cal Poly's three course single variable Analytic Geometry and Calculus set. Mat 116 covers improper integrats, parametric and polar equations and introduces students to sequences and infinite series in preparation t for further work in mathematics, engineering, science and many other areas of study. Mat 116 advances our understanding of differential and integral calculus as covered in the first two courses of the sequence. The Greeks discovered the value of by the method of exhaustion.
Students use and compute integrals within the context of real world applications.
They will use l'Hospital's rule to evaluate improper integrals that result in indeterminant form expressions. Students are then introduced to sequences from which they obtain and evaluate infinite series. Convergent and divergent series are investigated and applied to real life problems. Students strengthen their grasp of the basic techniques of integration including transcendental integration, integration by parts, trigonometric substitution, etc. These techniques are then extended to include integrals of parametric and polar equations.