Math 513 (071) 
Suggested and
Homework Problems 






* Do the MATLAB part 

Section 
Suggested 
Homework 
Remark 


4.1 
All 
2* 
Fourier spectrum is not required 


4.2 
1, 2 
1 



4.3 
1–14 
2* 



4.4 
1–4 
1 



4.5 
1–6 
6 



4.6 
1–5 
3 



5.1 
1–6 
3* 
Complete the square of the power and use
∫_{0}^{∞}u^{2} du=
sqrt(π)/2 


5.2 
1–4 
4 



5.3 
1– 6 
4, 6* 
Solve 6 for cosine instead of sine. Find the carrier frequency and amplitude 


5.5 
1–6 
1* 



5.6 
1–3 
1 



6.1 
1–14 
6*, 12* 
Use "laplace" to verify your answer 


6.2 
All 
x 



6.3 
1–45 
16*, 31* 



6.4 
All 
x 



6.5 
1–4 
x 



6.6 
1–12 
10* 



6.7 
1–15 
15 



6.8 
1–28 
21 



6.9 
1–8 
2 



9.1 
All 
4,
12 
Solutions for Cauchy Euler equation are x^{m}. e^{2πi}=1 


9.2 
All 
4 



9.3 
1–4 
4 



9.4 
1–6 
6* 



9.5 
20–25 
24* 



10.3 
1–8 
4* 



10.4 
1–6 
2* 



10.5 
1–9 
4 



11.3 
1–17 
8*, 12* 
Plot solution vs space at different times. 


11.4 
1–9 
4* 
Plot your result using MATLAB 


11.5 
1–5 
4 



12.3 
1–12, 15, 18, 28 
4*, 18, 28, 31 
For Ex 4 plot the surface only.
Interpret the graph. 


12.4 
1–5 
4 



12.5 
1, 2 
2 



12.6 
1, 2 
2 







