# Section1_1 - Department of Economics University of California Berkeley ECON 100A Spring 2010 Section 1 GSI Antonio Rosato 1 1.1 A very Short Math

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Department of Economics University of California, Berkeley ECON 100A Spring 2010 - Section 1 GSI: Antonio Rosato 1 A very Short Math Review 1.1 Systems of Linear Equations Solve the following system of two equations for the values of the two unknowns, x and y : y = 3 x + 6 y = - 6 x + 24 Graph the two equations on the ( x, y ) plane: A very common application is supply and demand analysis. Solve the following for the price and quantity in market equilibrium: Q D = 100 - 2 P Q S = - 10 + 2 P 1

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Department of Economics University of California, Berkeley 1.2 The natural logarithm and the exponential function ln( x ) is called the natural logarithm of x . It is the power to which one must raise the number e to get x . The number e is 2.7182. .. e y is called the exponential function , and is sometimes written as exp( y ). These numbers are often used in ﬁnance and economics. The relationship between the two is: ln( x ) = y e y = x 1.3 Polynomials Polynomials are functions made of the sum of variables raised to diﬀerent powers. The highest power to which a variable is raised in a polynomial gives the polynomial its name. f
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## This note was uploaded on 03/18/2010 for the course ECON 100A taught by Professor Woroch during the Spring '08 term at University of California, Berkeley.

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Section1_1 - Department of Economics University of California Berkeley ECON 100A Spring 2010 Section 1 GSI Antonio Rosato 1 1.1 A very Short Math

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