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Lectures: MWF 12:20 - 13:10 at MONT 421.
Office hours:Monday at 1:15pm-2:15pm
and Wednesday 2pm-3pm at MONT 304.
Required Text Book:
- Basic Partial Differential Equation Solutions Bleecker Manual Download
- Basic Partial Differential Equations Bleecker Solutions Manual Pdf
- Basic Partial Differential Equation Solutions Bleecker Manuals
Basic Partial Differential Equation Solutions 1st Edition 0 Problems solved: David Bleecker, D. Zelda no densetsu twilight princess iso gc. Portishead third zip rar opener. Bleeker: Basic Partial Differential Equations 0th Edition 0 Problems solved: George Csordas, David Bleecker: Basic Partial Differential Equations 0th Edition 0 Problems solved: George Csordas, David Bleecker.
Partial differential equations bleecker basic partial differential equation solutions: solution manual to accompany basic partial citeseerx citation query basic partial math 372: partial differential equations basic partial. Msc adams 2013 license crack. Back to Previous Page Partial Differential Equations Math 3435, Section 001 - Partial Differential Equations, Spring 2018 Course Syllabus Lectures: MWF 12:20 - 13:10 at MONT 421. Office hours: Monday at 1:15pm-2:15pm and Wednesday 2pm-3pm at MONT 304. Required Text Book: Basic Partial Differential Equations by David D. Bleecker and George Csordas. Basic Partial Differential Equations 765. NOOK Book (eBook) $ 336.99 $385.00 Save 12% Current price is $336.99, Original price is $385. You Save 12%. Methods of solution for partial differential equations (PDEs) used in mathematics, science, and engineering are clarified in this self-contained source.
]Math 3435, Section 001 - Partial Differential Equations, Spring 2018 [Course Syllabus]![Differential Differential](https://i.gr-assets.com/images/S/compressed.photo.goodreads.com/books/1358757203i/2643954._UY630_SR1200,630_.jpg)
Office hours:Monday at 1:15pm-2:15pm
![Partial Partial](https://i.pinimg.com/originals/70/3b/db/703bdb94fc9941e4fb3f0c5042bbe8a0.jpg)
Required Text Book:
Basic Partial Differential Equation Solutions Bleecker Manual Download
Basic Partial Differential Equations by David D. Bleecker and George Csordas. ISBN 1-57146-036-5, 2003, International Press of Boston, Inc.Basic Partial Differential Equations Bleecker Solutions Manual Pdf
Basic Partial Differential Equation Solutions Bleecker Manuals
We will cover following chapters from the text book
- Introduction to PDEs (Chapter 1) Please read Section 1.1 from the book. We will cover Section 1.2 and Section 1.3.
- First Order PDEs (Chapter 2) Section 2.1 and Section 2.2.
- The Heat Equation (Chapter 3) Section 3.1 and Section 3.2.
- Fourier Series (Chapter 4) Section 4.1, Section 4.2, and Section 4.3.
- The Wave Equation (Chapter 5) Section 5.1 and Section 5.2.
- Laplace's Equation (Chapter 6) Section 6.1, Section 6.2, and Section 6.3.
- Fourier Transforms (Chapter 7) if time permits Section 7.1, Section 7.2, Section 7.3, and Section 7.4.
Exams
- Practice Exam 1 and its solution.
- Exam 1 and its solution.
- Practice Exam 2 and its solution.
- Exam 2 and its solution.
- Final Exam and its solution.
In class presentations(Up to %5 Bonus) -- on Saturday, March 24
- Audrey: Minimal Surface Equation - Wiki - Audrey's talk [PDF]
- Sheryar: Black-Scholes equation - Wiki - Sheryar's talk [PDF]
- Srini: Fisher KPP equation - Wiki - Srini's talk [PDF]
- Hunter: Poisson's equation - Wiki - Hunter's talk [PDF]
- Jhansi: Boussinesq equations - Wiki - Jhansi's talk [PDF]
- Emily: Hunter-Saxton equation - Wiki - Emily's talk [PDF]
- William T.: Diffusion equation - Wiki - William's talk [PDF]
- Krystian: Helmholtz equation - Wiki - Krystian's talk [PDF]
- Rithvik: Navier - Stokes equations - Wiki- Rithvik's talk [PDF]
- Richard: Schrödinger equation - Wiki
- William G.: Maxwell's equations - Wiki- William's talk [PDF]
- Zachariah: Einstein field equations - Wiki- Zachariah's talk [PDF]
Homework
HW1 - Due on Friday, January 26 by the class | Solutions(PDF)
- Exercise 1.2, Page 39, Problems: 1b, 1d, 1f, 2c, 3d, 4d, 5c, 5d.
- Exercise 1.2, Page 40, Problems: 12, 13.
- Exercise 1.3, Page 53, Problems: 1b, 1c.
HW2 - Due on Friday, February 2 by the class | Solutions(PDF)
- Exercise 1.3, Page 53, Problems: 2c, 2d.
- Exercise 1.3, Page 54, Problems: 3c, 3d.
- Exercise 1.3, Page 55, Problems: 8b, 9c.
HW3 - Due on Friday, February 9 by the class | Solutions(PDF)
- Exercise 2.1, Page 71, Problems: 1c, 1d, 2a, 3.
- Exercise 2.1, Page 72, Problem: 8.
- Exercise 2.2, Page 90, Problems: 1a, 1d, 2a, 2d,
3a, 3d. HW4 - Due on Friday, February 16 by the class | Solutions(PDF)
- Exercise 3.1, Page 136, Problems: 3b, 3d, 6b, 6d.
- Exercise 3.1, Page 137, Problem: 9.
- Solve the following Heat conduction problem[left{begin{array}{ll}9u_{xx}=u_{t}, quad 0 < x < 3, quad t > 0,&mbox{The Heat Equation},u_{x}(0,t)=0 quad mbox{and} quad u_{x}(3,t)=0,& mbox{Boundary conditions},u(x,0)=2cos(frac{pi x}{3}) -4 cos(frac{5pi x}{3}) &mbox{Initial condition}.end{array}right.]
- By considering separation of variables $u(x,t)=X(x)T(t)$, rewrite the partial differential equation
in terms of two ordinary differential equations in $X$ and $T$ (take arbitrary constant as $c$). - Rewrite the boundary values in terms of $X$ and $T$.
- Now choose the boundary values which will not give a non-trivial solution and write the ordinary differential equation corresponding to $X$.
- By considering $c=0, lambda^2=c>0, -lambda^2=c<0$, solve the two-point boundary value problem corresponding to $X$. Find all eigenvalues $lambda_n$ and eigenfunctions $X_n$.
- For each eigenvalue $lambda_n$ you found, rewrite and solve the ordinary differential equation corresponding to $T_n$.
- Now write general solution for each $n$, $u_n(x,t)=X_n(x) T_n(t)$ and find the general solution $u(x,t)=sum u_n(x,t)$.
- Using the given initial value and the general solution you found in, find the particular solution.
HW5 - Due on Friday, March 2 by the class | Solutions(PDF)
- Exercise 3.3, Page 169, Problems: 3, 4.
- Exercise 3.4, Page 184, Problems: 3, 4(optional).
- Exercise 3.4, Page 185, Problems: 7, 8(optional).
HW6 - Due on Friday, March 9 by the class | Solutions(PDF)
- Exercise 4.1, Page 205, Problems: 2, 4.
- Let $f(x)$ be given as[f(x)=left{begin{array}{ll}0 &mbox{when}, , -pileq x leq 0, x & mbox{when}, , 0leq xleq pi.end{array}right.]
- Find the Fourier series $mathfrak{F}(x)$ of $f(x)$ on $-pileq x leq pi$.
- Using the first part verify that[frac{pi}{4}=sumlimits_{n=0}^{infty} frac{(-1)^{n}}{(2n+1)}. ]
- Using the first part verify also that[frac{pi^2}{8}=sumlimits_{n=0}^{infty} frac{1}{(2n+1)^{2}}. ]Hint: You can assume that $mathfrak{F}(x)=f(x)$ when $-pi < x < pi$.
- Let $f(x)$ be given as[f(x)=left{begin{array}{ll}0 &mbox{when}, , -pileq x < 0, 1 & mbox{when}, , 0leq x<pi.end{array}right.]
- Find the Fourier series $mathfrak{F}(x)$ of $f(x)$ on $-pileq x leq pi$.
- Using the first part verify that[sumlimits_{n=1}^{infty}frac{(-1)^{n+1}}{2n-1}=frac{pi}{4}.]Hint: You can assume that $mathfrak{F}(x)=f(x)$ when $-pi < x < 0$ and $0 < x< pi$.
HW7 - Due on Wednesday, April 4 by the class | Solutions(PDF)
- Exercise 5.1, Page 295, Problems: 1a, 1c.
- Exercise 5.1, Page 296, Problem: 5a,
5b. - Exercise 5.1, Page 298, Problem: 9.
HW8 - Due on Wednesday, April 11 by the class | Solutions(PDF)
- Exercise 5.2, Page 317, Problems: 1a, 1c, 1d, 1e
- Exercise 5.2, Page 318, Problem: 6, 7, .
- Exercise 5.3, Page 336, Problem: 2.
- Exercise 5.3, Page 337, Problem: 6,7,10.
HW9 - Due on Wednesday, April 18 by the class The solution is in Section 6.2 of the book.
- Exercise 6.1, Page 349, Problem: 3
HW10 - Due on Wednesday, April 25 by the class | Solutions(PDF)
- Consider the following Dirichlet problem$$left{begin{array}{ll}U_{rr}+frac{1}{r}U_r+frac{1}{r^2}U_{thetatheta}=0 & mbox{in} , , r < 2,U(2,theta)=1+3sin(2theta). &end{array}right.$$Without finding the solution, answer the following questions.
1. Find the maximum value of $U$ on disk with radius $2$.
2. Calculate the value of $U$ at the origin.
3. Using the Poisson's integral formula write down solution to the Dirichlet problem in the disk with radius $ 0 < 2 $. Important Links
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- Academic Calendar for this semester https://registrar.uconn.edu/academic-calendar/spring-2018/.
- Exam rescheduling https://guide.uconn.edu/student-interactions/rescheduling-exams/.
- Academic Integrity Policy https://community.uconn.edu/academic-integrity-faculty-faq/.