Assignment 1

Assignment 1 - (a) Use the binomial expansion (or another...

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University of Florida Department of Physics PHY3101, Fall 2009 Introduction to Modern Physics Homework 1 - Due Fri, Jan 8 2009 Student Name: ( please print large and legibly. No UFID is necessary. ) Total: / 100 points.

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Physics 3101, HW#1, Fri, Jan 8 2009 Name: Problem 1: General Info (40 points) (a) Is this a required course for you? ( 5 points ) (b) If not, why did you take it? ( 5 points ) (c) What do you expect to learn from this course? ( 5 points ) (d) What topic would you really like to see covered? ( 5 points ) (e) What grade do you expect in this class? ( 5 points ) (f) How much time time/eﬀort do you think it will take to achieve your desired grade? ( 5 points ) (g) What is your background in physics (including courses youre taking this semester)? ( 5 points ) (h) What is your background in mathematics (including courses youre taking this semester)? ( 5 points ) 1
Physics 3101, HW#1, Fri, Jan 8 2009 Name: Problem 2: Mathematical Background (30 points)

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Unformatted text preview: (a) Use the binomial expansion (or another technique you are familiar with) to simplify 1-1 √ 1-x , where x ± 1. ( 10 points ) (b) The Taylor series approximation is deﬁned as : f ( x ) ≈ f ( a )+( x-a ) ∂f ∂x | x = a + ··· . What is the second order Taylor expansion of cos θ at θ = 0 ? ( 10 points ) (c) For small values of x ( x ± 1) what is a a good approximation for sin( x ) ( 10 points ) 2 Physics 3101, HW#1, Fri, Jan 8 2009 Name: Problem 3: Mathematical Background II (30 points) (a)-→ V 1 = ( v 1 x ,v 1 y ,v 1 z ) ,-→ V 2 = ( v 2 x ,v 2 y ,v 2 z ). What is ± ± ±-→ V 1 ± ± ± ?, what is-→ V 1 ·-→ V 2 ?, what is-→ V 1--→ V 2 ? ( 10 points ) (b) Find N ( t ), given dN dt ∝ N ( t ) ( 10 points ) (c) Find the general solution to m d 2 x dt 2 =-kx ( 10 points ) 3...
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This note was uploaded on 03/30/2010 for the course PHY 3101 taught by Professor Staff during the Spring '08 term at University of Florida.

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Assignment 1 - (a) Use the binomial expansion (or another...

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