![]() Double Integrals and Gauss-Green TheoremĬalculus II starts the dimensional generalization of integration theory, into double (or 2D) integrals,.With only manual tools - it is the leverage of computer algebra tools that makes this technique Presented, which is absent from all traditional textbooks, since it is computationally difficult For example,Ī more advanced integration technique known as Integration via Differentiation is We strive for aīalance between classical and modern computational mathematics in a unique way. ![]() ![]() The paper/pencil standpoint, which has merits and drawbacks in this modern age. Traditional Calculus II courses explore these techniques purely from One of the goals of Calculus II is to become an expert in algebraic integration: finding antiderivatives.Ĭomputer algebra tools can find antiderivatives automagically, so an exploration of the techniques ofĪntiderivatives must contain an meaningful mixture of integration concepts, manual skills, and usage Important for all students to have this common foundation moving forward into the Calculus II course. Integration, the Fundamental Theorem of Calculus, and initial applications of the integral.Īs many students start in our Calculus II course, having studied Calculus I elsewhere, it is Starting from the definition of the integral via signed area, ranging to beginning algebraic Our Calculus II course has the following components:Ĭalculus II starts with an intensive 40 assignment refresher of introductory integral calculus, Many students feel that Calculus II is the most difficult course in the Calculus sequence as well. This raises all kinds of questions that have toīe studied, but once accomplished, we are able to conquer these algebraicĬalculus II is the longest course in the Calculus sequence. but with a more generalized description based upon "Plan B" for attacking these types of algebraic integrals comes in the form ofĮxpanding the way we describe functions, not just with the elementaryĬlass of functions including such friends as sin(x), e x, Just is no algebraic antiderivative for such functions. The vast majority of functions cannot be algebraically integrated - there When Algebraic Integration Just Can't Be Done.Integral, providing the main strategies for attacking the algebraic integral - when When you (or a computer) can algebraically integrate a function, how is thatĪccomplished? Essentially, the Rules of Differentiation are "inverted" to the STEM Calculus II is comprised of two distinct parts: More practical, computational command of the integral, which is only introduced as a concept "the first course on integral calculus", Calculus II focuses on a The second semester of 1st year Calculus is the preparatory course for all of the 2nd yearĬourses (Multivariable Calculus, Differential Equations, Linear Algebra). Honors Multivariable Calculus and Vector Analysis Honors Computational Differential Equations Multivariable Calculus and Vector Analysis In Providence, Rhode Island, USA, which is regionally accredited by the New EnglandĬommission of Higher Education (NECHE), facilitating transfer of credits nationwide to other colleges and universities.Ĭourse Matrix: DMAT 263 - STEM Calculus II Prerequisite Cost: $1732 Tuition + $70 Semester Fee + $115 Software/E-textbookĭelivery: Fully Online, Asynchronous, Self-PacedĬlick Here to Enroll in DMAT 263 - STEM Calculus IIĬompletion of DMAT 263 - STEM Calculus II earns 4 academic credit semester hours with an official academic transcript from Roger Williams University,
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