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MTH 251 : Objectives |
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At the completion of this course, each student should be able to:
- Use definite integrals to determine
a. Areas of regions between curves
b. Volumes by disks, washers, and shells
c. Lengths of plane curves
- Differentiate and integrate logarithmic, exponential inverse trigonometric,hyperbolic functions.
- Solve separable differential equations and applications.
- Evaluate integrals by using integration by parts, trigonometric substitutions & partial fractions.
- Evaluate integrals whose integrands are powers of sine and cosine and powers of Secant and tangent.
- Use L'Hopital's Rule to determine limits involving appropriate indeterminate forms.
- Distinguish between convergent and divergent improper integrals and evaluate the Convergent improper integrals.
- Find the limit of convergent sequences.
- Use appropriate tests for determining the convergence or divergence of infinite series
- Test alternating series for conditional convergence.
- Find the center, radius and interval of convergence for power series.
- Determine the McLaurin and Taylor series of functions
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