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Calculus for Beginners and Artists

Details: Chapter 0: Why Study Calculus? Chapter 1: Numbers Chapter 2: Using a Spreadsheet Chapter 3: Linear Functions Chapter 4: Quadratics and Derivatives of Functions Chapter 5: Rational Functions and the Calculation of Derivatives Chapter 6: … mit math class

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1.2 What Is Calculus and Why do we Study it

Details: Study of detailed methods for integrating functions of certain kinds. 5. How to use integration to solve various geometric problems, such as computations of areas and volumes of certain regions. There are a few other standard topics in such a course. These include description of functions in terms of power series, and the study of when an mit mathematics

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Chapter 1: Numbers

Details: Topics. 1.1 What Are Numbers? The Rational Numbers. 1.2 Decimals and Real Numbers. 1.3 Complex Numbers. Operations on Complex Numbers. Geometric Representations of Complex Numbers. 1.4 Countable Sets. mit department of mathematics

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1.1 What You Should Know

Details: 0.1 What You Should Know. To study calculus it is essential that you are able to breathe. Without that ability you will soon die, and be unable to continue. Beyond that, you will need some familiarity with two notions: the notion of a number, and that of a function. Suppose I have forgotten everything I ever knew about numbers and functions? applied math mit

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Introduction to representation theory

Details: We continue to study representations of nite groups in Chapter 5, treating more advanced and special topics, such as the Frobenius-Schur indicator, the Frobenius divisibility theorem, the Burnside the-orem, the Frobenius formula for the character of an induced repre-sentation, representations of the symmetric group and the general mit math program

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1.1 What Are Numbers

Details: The Rational Numbers. 1.1 What Are Numbers? The Rational Numbers. We have lots of kinds of numbers but they all start with the natural numbers, which are 1, 2, 3 1,2,3, and so on. If you count your figures and toes, you will come to 20 20 (most of … mit math curriculum

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An Introduction to Microlocal Analysis

Details: as an e ective tool in the study of solutions of the wave equation. In Chapter 3 a more general study of distribution with regularity properties analogous to those of (t z!) is begun, this is a rst step towards microlocal analysis. In Chapter 4 the approximate plain wave solutions obtained in Chapter 1 are combined to give a mit math dept

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3.1 What Are Functions

Details: The simplest definition is: a function is a bunch of ordered pairs of things (in our case the things will be numbers, but they can be otherwise), with the property that the first members of the pairs are all different from one another. This function consists …

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1.3 Complex Numbers

Details: 1.3 Complex Numbers. Among the operations of multiplication is that of squaring a number. This is the operation of multiplying a number by itself. Thus. 25 25. We can ask for the inverse of this squaring operation. This is an operation that acting on. 5 5. This operation has a name: it is called the square root.

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Computational Biology MIT Mathematics

Details: Computational Biology. Computational biology and bioinformatics develop and apply techniques from applied mathematics, statistics, computer science, physics and chemistry to the study of biological problems, from molecular to macro-evolutionary.

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