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MA 241 - Analytic Geometry and Calculus II

North Carolina State University, , Prof. John Griggs

Updated On 02 Feb, 19

Overview

Additional Integration Techniques - Trig Integrals, Partial Fractions - Trig Substitution - Long Division - Trapezoidal Rule, Simpsons Rule - Simpsons Rule Cont, Error Bound - Infinite Intervals - Discontinuous Integrands, Comparison Theorem - Area between curves, Area enclosed by Parametric Curves - Area enclosed by Parametric Curves - Solids of Revolution - Solids of Revolution review, Cylindrical Shells - Arc Length - Average Value of a Function Mean Value Theorem for Integrals - Applications to Physics and Engineering - Hooke's Law - Spring Problem - Pumping Problem - Moments and Centers of Mass - Modeling with Differential Equations - Direction Fields and Eulers Method - Separable Differential Equations - Orthogonal Trajectories - Exponential Growth and Decay - Compound Interest - Newtons Law of Cooling - The Logistic Equation - 2nd Order Linear Differential Equations - Terms Auxiliary equation

Nonhomogeneous Linear Equations - Sequences - Convergence and Divergence - Alternating signs - Fibonacci sequence - Geometric Progression - Series - Geometric Progression Convergence and Value - Derivation and Integration - Telescoping - Harmonic - Divergence Test - Convergence Rules - Taylor and MacLaurin Series - Binomial Series Derivation -

Includes

Lecture 29:

4.1 ( 11 )


Lecture Details

7.7 2nd Order Linear Differential Equations
Terms Auxiliary equation (Characteristic Equation)
Method
Both roots of auxiliary equation are real and distinct
Both roots of auxiliary equation are real and equal

Ratings

4.5


2 Ratings
55%
30%
10%
3%
2%
Comments
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Sam

Excellent course helped me understand topic that i couldn't while attendinfg my college.

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Dembe

Great course. Thank you very much.

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