This course is the second of three courses in the Calculus series offered at XULA. Students take this course to meet the "Quantitative Reasoning" requirement within the core curriculum, and it is a required course for both the Mathematics major and minor. All students must have passed MATH 1070 or its equivalent with a "C" or better grade. Students cannot be placed in to 2070 by examination. Students will learn different methods of reflecting critically on mathematical problems. The purpose of this course is to continue the understanding of the ideas of Calculus as a solid foundation for subsequent courses in mathematics and other discipline. Topics covered in this course are: techniques of integration; applications of integration; solving improper integrals; computing infinite series. This course is offered every semester.
Module 1: Integration, Area, and Volume
Review of Integration and U-Substitution
Integration by Parts
Module 2: Integration techniques
Integration of Trigonometric Functions
Integration by Trigonometric Substitution
Improper Integrals
Module 3: Applications of Integration
Parametric Curves and their Calculus
Polar Curves and their Calculus
Module 4: Sequences and Series
Below is a PDF of the Calculus II Handbook that was created to supplement MATH 2070 at XULA.