EM - Ch 21 - Lecture 1 - Complex Variables

EM - Ch 21 - Lecture 1 - Complex Variables - Intro to...

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Unformatted text preview: Intro to Engineering Math 2 Dr. J. Rojas Introduction to Engineering Math 2 Dr. J. Rojas 1 rojas70@gmail.com Department of Civil Engineering Sun Yat-sen University Fall 2010 Intro to Engineering Math 2 Dr. J. Rojas Outline Intro to Engineering Math 2 Dr. J. Rojas Overview Complex Variables Complex variables are a tool used by other mathematical fields. They can simplify difficult integrals ( integraltext and contintegraltext ’s) and partial differential equations ( ∂ x n ∂ y ). Some of which we will look at later in the semester. Complex variables also can provide insight that real numbers can’t. Intro to Engineering Math 2 Dr. J. Rojas Overview Partial Differential Equations PDEs are very relevant for all systems. They deal with how a system changes when one of many variables changes. In many of your future functions you will want to know how changing one variable affects the system. It’s like if you are playing basketball and you change a player, or a court, or the kind of ball you play with, you want to know how that will affect the game. Intro to Engineering Math 2 Dr. J. Rojas Overview Probability and Statistics P&S may seem hard to understand and largely irrelevant but they are SO important. Probability and statistics are often used to predict outcomes for very important decisions. The better you understand P&S the more informed decisions you will make in your systems. Intro to Engineering Math 2 Dr. J. Rojas Origins History Early 1800s, mathematicians were developing Theory of Equations . Pair-Share Exercise Divide into pairs. Solve the following two equations:-> x 2 + 1 =-> x 2 + 2 x + = 04 Question Question: What would these results mean if you only had positive numbers? Intro to Engineering Math 2 Dr. J. Rojas Origins History Early 1800s, mathematicians were developing Theory of Equations . Pair-Share Exercise Divide into pairs. Solve the following two equations:-> x 2 + 1 =-> x 2 + 2 x + = 04 Question Question: What would these results mean if you only had positive numbers? Intro to Engineering Math 2 Dr. J. Rojas Origins History Early 1800s, mathematicians were developing Theory of Equations . Pair-Share Exercise Divide into pairs. Solve the following two equations:-> x 2 + 1 =-> x 2 + 2 x + = 04 Question Question: What would these results mean if you only had positive numbers? Intro to Engineering Math 2 Dr. J. Rojas Origins History Early 1800s, mathematicians were developing Theory of Equations ....
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This note was uploaded on 10/02/2010 for the course CIVIL ENGI 09332005 taught by Professor Kaiminshi during the Spring '10 term at Hong Kong Baptist University, China.

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EM - Ch 21 - Lecture 1 - Complex Variables - Intro to...

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