Calculus Reaction Paper “Teaching Real Analysis in the Land of Make Believe” The article of Teaching Real Analysis in the Land of Make Believe is a very nice article. It had made learning Calculus simple because it is stated in a child friendly way. Instead of using long and difficult equations and definitions‚ it is stated through a form of a tale. The author used the different symbols in calculus as its characters. This made the students more interested in the field of calculus. They
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create symbolic math expressions. This is useful when you don’t want to immediately compute an answer‚ or when you have a math "formula" to work on but don’t know how to "process" it. Matlab allows symbolic operations several areas including: * Calculus * Linear Algebra * Algebraic and Differential Equations * Transforms (Fourier‚ Laplace‚ etc) The key function in Matlab to create a symbolic representation of data is: sym() or syms if you have multiple symbols to make. Below is an
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Academy of Sciences in 1731‚Euler married Katharina Gesell x (Wikipedia‚2012). The couple had five children who survived childhood out of thirteen x (Wikipedia‚ 2012). Euler worked in nearly every area of mathematics including geometry‚ infinitesimal calculus‚ trigonometry‚ algebra‚ and number theory‚ as well as continuum physics‚ and the lunar theory(Wikipedia‚2012). He introduced the concept of a
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n calculus‚ Rolle’s theorem essentially states that a differentiable function which attains equal values at two distinct points must have a point somewhere between them where the first derivative (the slope of the tangent line to the graph of the function) is zero. ------------------------------------------------- Standard version of the theorem [edit] If a real-valued function f is continuous on a closed interval [a‚ b]‚ differentiable on the open interval (a‚ b)‚ and f(a) = f(b)‚ then there
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grade. Although I dislike Math‚ my interests in Medicine require knowledge in the subject so I challenge myself my taking the course in order to benefit me in the future. Classes like Pre-Calculus‚ Chemistry and Biology have helped me in understanding the basics to become a Physician. Since I struggled in Pre-Calculus I went after school almost everyday to learn and understand the concepts in class. I had to seize the opportunity once it was given to me
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entered in a contest. The holding area is made up of 12 identical pens arranged in a two by six grid. If 100 m of fencing is available‚ what dimensions of each pen would maximize the total holding area? State EXACT answer. (from McGraw-Hill Ryerson Calculus & Advanced Functions Pg. 382 #12b) A piece of sheet metal 60 cm by 30 cm is to be used to make a rectangular box with an open top. Squares are to be cut from each corner of the sheet metal‚ the sides folded upward to form the box‚ and then the seams
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ECN601 – Section 003 Syracuse University Fall 2010 Professor Lourenço Paz Math Review 1. Basic algebra and geometry Check out the handouts at : http://www1.maxwell.syr.edu/pa.aspx?id=36507223186 2. Calculus of one variable Let y = axb‚ where a and b are numbers‚ with b different from zero. The derivative of y with respect to x is dy/dx = abxb-1 Examples: y = 2x7‚ dy/dx = 2*7x7-1 = 14x6 y = 5x0.3‚ dy/dx = 5*0.3*x0.3-1 = 1.5x-0.7 Exercises: Calculate dy/dx a) y= 3x2 b) y = 12x0
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rights reserved. Objective Solve applied minimum and maximum problems. Applied Minimum and Maximum Problems 3 4 1 14-Oct-14 Applied Minimum and Maximum Problems Example 1 – Finding Maximum Volume One of the most common applications of calculus involves the determination of minimum and maximum values. A manufacturer wants to design an open box having a square base and a surface area of 108 square inches‚ as shown in Figure 3.53. What dimensions will produce a box with maximum volume?
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Conjugate-beam method • Superposition method • Virtual work method Double Integration Method The edge view of the neutral surface of a deflected beam is called the elastic curve 1 M ( x) EI ρ Double Integration Method • From elementary calculus‚ simplified for beam parameters‚ d2y 2 2 1 d y dx 2 2 3 2 dx dy 1 dx • Substituting and integrating‚ 1 d2y EI EI 2 M x dx x dy EI EI M x dx C1 dx 0 x x EI y dx M x dx C1x C2 0
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Example 5: Student work Maths Exploration Newton-Raphson method Rationale- For this project I chose to research and analyse the Newton-Raphson method‚ where calculus is used to approximate roots. I chose this topic because it looked extremely interesting and the idea of using calculus to approximate roots‚ seemed intriguing. The aim of this exploration is to find out how to use the Newton-Raphson method‚ and in what situations this method is used Explanation of the Newton-Raphson method
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