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# CALCULUS II MATH 162

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This 1 page Class Notes was uploaded by Vern Howell on Tuesday October 20, 2015. The Class Notes belongs to MATH 162 at SUNY College of Technology at Canton taught by Staff in Fall. Since its upload, it has received 15 views. For similar materials see /class/225537/math-162-suny-college-of-technology-at-canton in Mathematics (M) at SUNY College of Technology at Canton.

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Date Created: 10/20/15

MATH 162 CALCULUS II I The Definite Integral Students will be able to Use sigma notation to write and evaluate a sum 2 Find the area under a curve using Rieimann Sums 3 Evaluate a definite integral using properties of definite integrals 4 Find the area under a curve using the Fundamental Theorem of Calculus 5 Find the average value of function using the Mean Value Theorem x ll Applications of Integrals Students will be able to Find the area of a region formed by two curves using the Fundamental Theorem of Calculus 2 Find the volume of revolution using the Disk or Washer Method 3 Find the volume of revolution using the Shell Method 4 Find the length of an arc using integrals 5 6 x Solve problems with variable force liquid pressure and moments at the discretion of the instructor Find the surface area of any figure Ill Transcendental Functions Students will be able to 1 Find integrals involving trigonometric logarithmic and exponential functions 2 Differentiate inverse trigonometric functions IV Techniques of Integration Students will be able to Find indefinite and definite integrals using substitution Find indefinite and definite integrals using integration by parts Find indefinite and definite integrals using trigonometric substitution Find indefinite and definite integrals of partial fractions WNT V Numerical Methods Students will be able to Find the area under a curve using Simpson s Rule 2 Find the area under a curve using the Trapezoidal Rule VI OPTIONAL TOPICS Students will be able to 1 Find the derivative and integrals of hyperbolic functions 2 Approximate a function using a Taylor Polynomial 3 Approximate a function using Cubic Splines

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