CALCULUS 2 DIFFERENTIAL EQUATIONS SERIES

Justify whether a given series converges or diverges.ġ1.

Solve a separable differential equation using separation of variables.ġ0. Translate verbal descriptions involving rates of change into differential equations.ĩ. Evaluate an improper integral using the appropriate limit definition.Ĩ. Use L’Hopital’s Rule to evaluate a limit.ħ. Estimate the value of a definite integral using a Taylor Polynomial.Ħ. Estimate the value of a definite integral using one or more of the following techniques: the Midpoint Rule, the Trapezoid Rule, and Simpson’s Rule.ĥ.

Evaluate a definite integral using the Fundamental Theorem of Calculus.Ĥ. Formulate a definite integral to solve a variety of applications.ģ. Compute indefinite integrals using a variety of techniques which could include: substitution, integration by parts, trigonometric substitution, or partial fraction decomposition.Ģ.

MCC General Education: MCC-CT - Critical Thinking (MCT), MCC-QL - Quantitative Literacy (MQL)ġ. New SUNY General Education: SUNY - Mathematics (and Quantitative Reasoning) Prerequisite: MTH 210 with a grade of C or higher. A specific calculator may be required of students in this course. In mathematics, differential calculus is a subfield of calculus that studies the rates at which quantities change. Topics include techniques of integration, applications of definite integrals, first order separable differential equations, indeterminate limit forms, improper integrals, infinite series, Taylor polynomials, and power series.

CALCULUS 2 DIFFERENTIAL EQUATIONS MANUAL

If available, students may purchase the student solutions manual or make use of the interactive software and video tapes/DVDs located in the math laboratory.Course Descriptions MTH 211 - Calculus IIĪ second course in single variable calculus. Media Go to this website to explore more on this topic. A solution to a differential equation is a function that satisfies the differential equation when and its derivatives are substituted into the equation.

Polar coordinates, graphing, area and arc length.Įach student is required to have the calculator and the textbook adopted by the Mathematics Department at the specific campus. A differential equation is an equation involving an unknown function and one or more of its derivatives.

Vectors in two and three dimensional space.

Three dimensional analytic geometry: the three dimensional coordinate system, lines and planes.

Determine the area of a region in polar coordinates.

Draw the graphs of equations in polar coordinates.

Find the equations of lines and planes in three dimensional space.

Perform operations on vectors in two and three dimensional space.

Find Taylor and Maclaurin series for various functions.

Use theorems to test infinite series for absolute convergence, conditional convergence or divergence and to find intervals of convergence for power series.

Use integration by parts, partial fraction decomposition and several substitution techniques to evaluate definite and indefinite integrals.

Recognize the relationship among the Riemann Sum, the Riemann Integral and the Fundamental Theorem of calculus.

Upon successful completion of the course, the student will: Topics include additional applications of the definite integral, techniques of integration, improper integrals, infinite series, polar coordinates, calculus with parametric equations, vectors in two and three dimensional spaces and an introduction to differential equations. Tweet this Page (opens a new window) Add to Portfolio (opens a new window)

Calculus 2 differential equations