# Textbook Notes for Mathematics at Indiana University - Bloomington (IU)

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IUMATH-M 344Benjamin MelinandSpring

## MATH-M 344 Chapter 6: M344 6.6 Notes (Jan. 20)

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Assuming order of integration can be reversed, we rewrite equation so integration with. Sometimes possible to identify laplace transform (cid:1834)(cid
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IUMATH-M 211Zhixu SuFall

## MATH-M 211 Chapter 2: Lecture 9: Section 2.4 Continuity

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IUMATH-M 344Benjamin MelinandSpring

## MATH-M 344 Chapter Notes - Chapter 10: Fourier Series, Periodic Function, Orthogonality

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M344 section 10. 2 notes- introduction to fourier series. Good way to solve pdes generalization of orthogonality of vectors (see 7. 2) When interval be
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IUMATH-M 344Benjamin MelinandSpring

## MATH-M 344 Chapter Notes - Chapter 10: Thermal Conduction, Heat Equation, If And Only If

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M344 section 10. 6 notes- other heat conduction problems. In section 10. 5, found solution to heat equation with homogeneous boundary conditions and in
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IUMATH-M 344Benjamin MelinandSpring

## MATH-M 344 Chapter Notes - Chapter 10: Fourier Series, Piecewise, If And Only If

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IUMATH-M 344Benjamin MelinandSpring

## MATH-M 344 Chapter Notes - Chapter 9: Haplogroup R1B, Saddle Point, Potential Energy

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M344 section 9. 2 notes- autonomous systems and stability exists. Focusing on systems of 2 equations with form {(cid:3031)(cid:3051)(cid:3031)=(cid:183
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IUMATH-M 344Benjamin MelinandSpring

## MATH-M 344 Chapter 7: M344 7.6 Notes (Feb. 3)

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Can show linear independence with wronskian: general solution should be given in terms of real-valued functions. Taking complex conjugate of entire equ
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IUMATH-M 211Zhixu SuFall

## MATH-M 211 Chapter 2: Lecture 12: Section 2.7

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IUMATH-M 344Benjamin MelinandSpring

## MATH-M 344 Chapter Notes - Chapter 9: Saddle Point, Phase Portrait, Exponential Decay

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M344 section 9. 1 notes- the phase plane: linear systems. 2-20-17: case 1: real and distinct eigenvalues of same sign, phase portrait- representative s
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IUMATH-M 211Zhixu SuFall

## MATH-M 211 Chapter 2: Lecture 8: Section 2.3

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IUMATH-M 344Benjamin MelinandSpring

## MATH-M 344 Chapter 7: M344 7.4 Notes (Jan. 31)

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M344 section 7. 4 notes- basic theory of systems of first order linear equations. Consider system {(cid:1876)(cid:2869) =(cid:2869)(cid:2869)(cid:4666)
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IUMATH-M 211Zhixu SuFall

## MATH-M 211 Chapter 2: Lecture 7: Section 2.2 Limit Notes

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