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MATH 2414 Calculus II


Textbook: Essential Calculus: Early Transcendentals, 2nd Edition James Stewart McMaster University 

       ISBN-10: 1133112285  ISBN-13: 9781133112280   

Catalog Description:  This course includes areas between curves, volumes, arc length, surface area of a solid of revolution and other applications of integration, techniques of integration, numerical integration, improper integrals, parametric equations, derivatives, areas, and lengths in polar coordinates, sequences, and series. 

Prerequisites:  MATH 2413 with a grade of "C" or better, or equivalent.  Other prerequisites include ENGL 0301 and READ 0303.

Semester Credit Hours: 4 - 4 - 0

Course Objectives:  The student should be able to solve problems involving:

  1. Sum, product, quotient, chain, and power rules; implicit differentiation,
  2. Maxima, minima, extrema, points of inflection, curve sketching,
  3. Limit points, limits of functions, one-sided and infinite limits, and continuity,
  4. Derivatives and integrals involving trigonometric functions,
  5. Derivatives, integrals, and applications involving logarithmic and exponential functions,
  6. Derivatives and integrals involving inverse trigonometric functions,
  7. Indeterminate forms and L'Hospital's Rule,
  8. Methods of integration (formulas, substitutions, trigonometric substitutions,
  9. Arc length, volumes, and surface areas of solids of revolution,
  10. Conic sections,
  11. Parametric equations and derivatives,
  12. Polar coordinates and graphs, polar-rectangular relationships, derivatives and areas in polar coordinates, and
  13. Sequences and series, comparison, limit comparison ratio, and integral tests.