final_exam_math

final_exam_math - If x turns out to be pretty big (0.4)...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
MIT OpenCourseWare http://ocw.mit.edu Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Math Review Differentiation If df=gdx+hdy is exact then Examples: Sum Rule : f=f(x); g=g(x) Product Rule: Quotient Rule:
Background image of page 2
Integration Most common integrals: Quadratic Equation: solving for x Æ Simplifications (kinetics, equilibrium problems) The quadratic equation shows up in kinetics questions and equilibrium questions. Typically, it is not required to solve the quadratic equation IF X IS SMALL. Example: If x is assumed to be small, then, If the answer is small for x, then it is ok.
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: If x turns out to be pretty big (0.4) then use the quadratic formulae! Taylor Expansions: when x is small (especially in kinetics questions!) For x <1 Partial Fractions Example: Multiply by denominator everywhere: Simplify: x-1=A(x-3)+B(3x-5) Solve by setting values for x: Let x=3; 2=A(0)+B(4) B= 0.5 Let x=0; -1=A(-3)+0.5(-5) A= -0.5 Final Answer: Math Tricks: *when you have to equations in terms of ln, subtract the equations from each other and use the trick Example: given ** (what point is this?) To solve for T and you are given the ratio of the pressures, subtract the equations: -...
View Full Document

This note was uploaded on 11/27/2011 for the course CHEM 5.43 taught by Professor Timothyf.jamison during the Spring '07 term at MIT.

Page1 / 5

final_exam_math - If x turns out to be pretty big (0.4)...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online