Single Variable Calculus II Early Transcendentals
  • Final
  • Mathematics
  • Single Variable Calculus II Early Transcendentals
  • Single Variable Calculus II Late Transcendentals MATH 221
  • 4.0
  • 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.

  • 220
  • Single Variable Calculus I Early Transcendentals (Math 210, CAN 18).

    1. Areas between curves;
    2. Volume, volume of a solid of revolution;
    3. Additional techniques of integration including integration by parts and trigonometric substitution;
    4. Numerical integration; trapezoidal and Simpson's rule;
    5. Improper integrals;
    6. Applications of integration to areas and volumes;
    7. Additional applications such as work,  arc length, area of a surface of revolution, moments and centers of mass, separable differential equations, growth and decay;
    8. Introduction to sequences and series;
    9. Multiple tests for convergence of sequences and series; 
    10. Power series, radius of convergence, interval of convergence;
    11. Differentiation and integration of power series;
    12. Taylor series expansion of functions;
    13. Parametric equations and calculus with parametric curves; and
    14. Polar curves and calculus in polar coordinates;

  • Upon successful completion of the course, students will be able to:

    1. Evaluate definite and indefinite integrals using a variety of integration formulas and techniques;
    2. Apply integration to areas and volumes, and other applications such as work or length of a curve;
    3. Evaluate improper integrals;
    4. Apply convergence tests to sequences and series;
    5. Represent functions as power series; and
    6. Graph, differentiate and integrate functions in polar and parametric form.

  • Tests, examinations, homework or projects where students demonstrate their mastery of the learning objectives and their ability to devise, organize and present complete solutions to problems.

  • A college level textbook designed for science, technology, engineering and math majors, and supporting the learning objectives of this course.

  • March 31, 2011