Course Number: 10804181
10-804-181 CALCULUS 2 ...a continuation of Calculus 1 (10804198) and an introduction to integral calculus. Topics included in this course are integration methods and techniques including integration by parts and partial fractions, indeterminate forms, improper integrals. Topics also covered are infinite sequences and series including MacLaurin and Taylor Series and their convergence, L’Hopital’s Rule, applications of differentiation and integration, conic sections, parametric equations, polar coordinates along with vector operations in three dimensions. (Prerequisite: 10-804-198, Calculus I with a "C" or better)
Course Typically Offered
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- Identify Indeterminate Forms of Limits & Apply L'Hopital's Rule.
- Use Integration with Logarithmic and Inverse Trigonometric Functions.
- Use Calculus to Calculate Arc Length of a Curve & the Surface Area made from the Revolution of a Curve.
- Use Methods of Integration, including Integration by Parts, Partial Fractions, and Substitution to Evaluate Indefinite and Definite Integrals.
- Evaluate Products and Powers of Trigonometric Integrals and Improper Integrals.
- Evaluate Integrals Using Integration Tables.
- Test Sequences and Infinite Series for Convergence & Divergence using Several Methods.
- Utilize Taylor & Maclaurin Series to Approximate Function, find Intervals of Convergence for Power Series and perform Algebraic and Calculus Operations on Power Series.
- Utilize Parametric Equations including Eliminating Parameters, Graphing Parametric Equations, finding First & Second Derivatives and Arc Length.
- Utilize Polar Coordinates and Equations including Conversion between Polar and Rectangular Coordinates, Graphing and finding Area and Arc Length in Polar Coordinates.
- Perform Operations Using Vector Algebra.
- Find Dot Products, Cross Products and Equations of Lines & Planes in Three Dimensions.