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AP Calculus AB and AP Calculus BC are high school advanced placement courses intended to organize students for the respective College Board AP Exams. While AP Calculus BC is meant to symbolize the material covered within the two-semester college calculus sequence Calculus I and Calculus II, AP Calculus AB is a less complete remedy, covering about 70% of the material. Level up your algebra expertise, learn about capabilities and graphing, and solve problems in geometry and real-world modeling. Topics embrace Riemann integration, sequences and collection of functions, uniform convergence, power sequence, Taylor collection.

Section 1 provides a short introduction to the sorts of drawback that come up in Number Theory. Section 2 reviews and offers a more formal method to a powerful technique of proof, mathematical induction. Section 3 introduces and makes precise the key notion of divisibility. A focus on several strategies which might be widely used in the evaluation of high-dimensional knowledge. Perform RNA-Seq, ChIP-Seq, and DNA methylation information analyses, using open supply software program, including R and Bioconductor.

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This is the second of three courses within the fundamental calculus sequence. Topics embody vectors and the geometry of space, purposes of integration, integration techniques, L'Hopital's Rule, improper integrals, parametric equations, polar coordinates, conic sections and infinite sequence. If you want to switch credit score to substitute for Math fifty three then you'll doubtless want two courses (one on odd xtra math review differential equations using linear algebra, and one on PDE/Fourier material). The unified remedy of each linear algebra and multivariable optimization is not coated in a single course accessible to non-majors anywhere else. Many students who learn some multivariable calculus earlier than arriving at Stanford find Math 51 to be instructive to take because of its broad scope and synthesis of concepts.

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Learn likelihood theory — essential for a data scientist — utilizing a case examine on the monetary crisis of 2007–2008. Apply instruments of single-variable calculus to create and analyze mathematical fashions utilized by actual practitioners in social, life, and... Learn to make use of R programming to use linear fashions to research information in life sciences. Learn easy graphical guidelines that allow you to use intuitive pictures to improve research design and information evaluation for causal... Learn arithmetic—addition & subtraction, multiplication & division, fractions, decimals, and extra. Learn differential equations—differential equations, separable equations, precise equations, integrating factors, and homogeneous equations, and extra.

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