This collection contains the Affordable Learning Solution for the Southern University System (AL$4SUS) list of peer-reviewed textbooks for Single Variable Calculus II Early Transcendentals (common course-id MATH 220), one of the top 50 college courses identified for inclusion in the Southern University Online Library for Education (SUOLforEd).
See LA Master Course Matrix
General Course Description - MATH 220:
A second course in differential and integral calculus of a single variable: integration; techniques of integration; infinite sequences and series; polar and parametric equations; applications of integration. Primarily for Science, Technology, Engineering & Math Majors.
Minimum units: 4
Any rationale or comment: None
- Areas between curves;
- Volume, volume of a solid of revolution;
- Additional techniques of integration including integration by parts and trigonometric substitution;
- Numerical integration; trapezoidal and Simpson's rule;
- Improper integrals;
- Applications of integration to areas and volumes;
- Additional applications such as work, arc length, area of a surface of revolution, moments and centers of mass, separable differential equations, growth and decay;
- Introduction to sequences and series;
- Multiple tests for convergence of sequences and series;
- Power series, radius of convergence, interval of convergence;
- Differentiation and integration of power series;
- Taylor series expansion of functions;
- Parametric equations and calculus with parametric curves; and
- Polar curves and calculus in polar coordinates.
Evaluate definite and indefinite integrals using a variety of integration formulas and techniques;
Apply integration to areas and volumes, and other applications such as work or length of a curve;
Evaluate improper integrals;
Apply convergence tests to sequences and series;
Represent functions as power series; and
Graph, differentiate and integrate functions in polar and parametric form.