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Workshop 2: Math Functions

Workshop 2: Math Functions. Built-in mathematical functions. Operators Precedence. Math operators: +, -, *, / have different execution priorities What would you expect from the following calculation: = 1 + 2 – 3 * 4 / 8 ? Excel assigns priority to operators as follows:

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Workshop 2: Math Functions

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  1. Workshop 2: Math Functions

  2. Built-in mathematical functions Operators Precedence • Math operators: +, -, *, / have different execution priorities • What would you expect from the following calculation: • = 1 + 2 – 3 * 4 / 8 ? • Excel assigns priority to operators as follows: • 1. (, ) highest priority • 2. * , / • 3. +, - lowest priority • Mathematics expressions are evaluated using these priorities • Example: 1 + 2 – 3 * 4 / 8 = 1.5 --> using priority • 1 + 2 – 3 * 4 / 8 = 0 -- > left to right

  3. Useful mathematical functions Balloon Behavior • The height and velocity of a hot-air balloon are described as: • h(t) = - 0.12t4 + 12t3 – 380t2 + 4100t + 220 • v(t) = - 0.48t3 + 36t2 - 760t + 4100 • where t is a number of hour after launch, h(t) is in meter, v(t) is in m/hr • Create a table showing height (m) and velocity (m/s) of balloon in a period of • 0 – 8 Hrs.

  4. Useful mathematical functions Balloon Behavior • When will the balloon reach its highest altitude? • This type of question usually arises, but how can we efficiently answer that? • Excel provide “Goal seek ” tool to help us • Goto main menu: Tool  Goal seek…

  5. Useful mathematical functions Balloon Behavior • At an altitude of 10000 m, how fast is the balloon climbing ? and • how long does it take to reach that altitude?

  6. Built-in mathematical functions Logarithmic & exponential functions

  7. Built-in mathematical functions Logarithmic & exponential functions

  8. Built-in mathematical functions Trigonometry functions Also available: = RADIANS(degree)  to convert deg.  rad. = DEGREES(radian)  to convert rad.  deg. = PI( )  Pi constant

  9. Built-in mathematical functions Matrix calculations Important: - The result appears on an active cell only - Use CTRL-SHIFT <ENTER> to copy array formula

  10. Introduction to Microsoft Excel Solving linear equations [A][x] = [B] [x] = [A]-1[B] 1 -2 0 3 2 -1 2 -2 4 -1 0.5 -1 A = B =

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