Calculus II: Integration and Series

Course Directory·SNHU MAT275 has 1 direct prerequisite, with 4 courses in its complete prerequisite tree, and is required by 14 other courses.

Undergraduate · 3 credits

This course is a continuation of MAT 225 that deepens a student's understanding of single-variable calculus. Students will learn new techniques of integration, including substitution, integration by parts, partial fractions, and integration tables. This course will also extend a student's knowledge of addition. That is, students already know how to add two, three, or n numbers together but, in this course they will learn how to add an infinitely many numbers together. This will enable students to represent differentiable functions-including exponential, trigonometric and logarithmic functions-as functions that look like polynomials with infinitely many terms. In doing so, students will enhance their abilities to evaluate and estimate integrals. Finally, students will also learn about parametric curves and polar coordinates-both useful tools for describing the motion of moving objects such as projectiles, planets, or satellites-in order to apply single-variable calculus skills in additional settings.