![]() ![]() Compared to a class like real analysis, the proofs in differential equations are not as difficult but they can still be hard. ![]() Īnother reason why differential equations can be difficult is that some professors like to ask questions involving proofs in exams. If you can’t figure something out, then you could either go back to an algrebra book or just ask on a website like. If you struggled with the algebra in calculus 2, I would recommend improving your algebra for differential equations, by just watching Youtube playlists teaching differential equations and making sure to understand how the algebra works as you go. So, even if you did have a hard time with calculus 2, it will still be possibly for you to do well with differential equations.Īlso, the equations tend to involve more algebra than most calculus 2 questions. Use termwise differentiation and integration to find the power series representation of a function.However, there is a lot of material online, now, that you can use to improve your knowledge of integrals and how to do differential equations.Apply the ratio test to determine the interval of convergence of a power series.Find the Taylor polynomial with remainder, the Maclaurin series and the Taylor series of a function.Determine whether a series is absolutely convergent, conditionally convergent or divergent.Determine whether a series converges by approximating the partial sums, or by using comparison tests, the integral test, the alternating series test, the ratio test or the root test. ![]() law, the squeeze law, L’Hôpital’s rule or the bounded monotone convergence property. Determine whether a sequence converges by using the limit laws, the substitution.Find numerical solutions of initial value problems using Euler’s method.Sketch solution curves of differential equations using the direction field method.Apply the integral calculus to solve force and work problems.Apply the integral calculus to find arc length and the area of a surface of revolution.Evaluate integrals using trigonometric substitution.Evaluate integrals of rational functions by the partial fractions method. ![]()
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