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