ColoState   Spring 2026   MATH 340

Textbook: 
William E. Boyce, Richard C. DiPrima, Douglas B. Meade,
Elementary Differential Equations and Boundary Value Problems,
Wiley, 11th ed., ISBN-13: 978-1-119-25600-7 (or ISBN-10: 1119256003)

Suggested Examples and Exercises (from the textbook)  Each block is for one week
Examples/Equations/Formulas for reading
Problems for practice 
Sec.1.1:  Ex.1;  Ex.3
Sec.1.1:  #11, 12, 15, 18, 19, 20, 21
Sec.1.2:  Ex.1;  Ex.2 Sec.1.2:  #1c, 3, 7, 8, 10, 12
Sec.1.3:  Eqn.(1--4);  Eqn.(6--10);  Eqn.(11); Eqn.(12,13);  Eqn.15,16)
Sec.1.3:  #1--4, 6, 8, 13, 19 


Sec.2.1:  Ex.1;  Ex.2,3;  Formulas(28--33),Ex.4;  Ex.5
Sec.2.1:  #3, 7, 9, 11, 17, 23 
Sec.2.2:  Ex.1,2,3;  Formulas(26-28)
Sec.2.2:  #2, 4, 6, 10, 12, 17, 27 
Sec.2.6:  Ex.2; Thm.2.6.1  Sec.2.6:  #2, 3, 6, 11 


Sec.2.3:  Ex.1; Ex.3; Ex.4 
Sec.2.3:  #1, 2, 10, 12, 13, 20 
Sec.2.5:  Eqn./Formula(1)(2,4)(7,9-11)(17); Fig.1,2,3,7,8; Ex.1
Sec.2.5:  #3, 7, 9, 15a, 16ab, 25*


Sec.3.1:  Ex.1,2,3,4 
Sec.3.1:  #1, 4, 5, 8, 15, 19*
Sec.3.3:  //Ex.1, Fig.1;  //Ex.2, Fig.2;  //Ex.3, Fig.3;   Sec.3.3:  #5, 7, 12, 13, 15, 23 
Sec.3.4:  //Ex.1, Fig.1;  //Ex.2, Fig.2 
Sec.3.4:  #1, 2, 5, 7, 9, 12, 
Sec.3.5:  //Ex.1;  //Ex.2;  //Ex.3;  //Ex.5, Eqn.(25,26);  //Table1
Sec.3.5:  #1, 2, 4, 5, 10, 12 
Sec.3.7:  //Fig.1&2;  //Ex.2, Fig.4;  //Eqn.(21-25), Fig.5;  //Fig.6;  //Ex.3, Fig.7 Sec.3.7:  #1, 4, 11a, 17, 20ac  


Sec.3.8:  //Ex.1, Fig.1;  //Eqn.(17-21), Ex.3, Fig.7;  //Ex.4, Fig.8
Sec.3.8:  #1, 4, 5a, 6, 13, 14   
Sec.3.2:  Theorem 1,2,3,4; Ex.3,5
Sec.3.2:  #3, 10, 19, 20  


Sec.4.2:  Ex.2,3,4
Sec.4.2:  #8, 9, 10, 11, 13, 20 
Sec.4.3:  Ex.1,2,3 
Sec.4.3:  #1, 2, 4 
Review and Exam 1



Sec.7.2:  Ex.1,2
Sec.7.2: #1cd, 2cd, 7, 8, 10, 16cd, 17, 18
Sec.7.3:  Ex.1,2,3,4,5  Sec.7.3: #1, 2, 3, 6, 7, 11, 12, 14, 15, 18


Sec.7.5:  Ex.1; Ex.2 (saddle point); Ex.3 (nodal sink/source) 
Sec.7.5: #1, 2, 4, 11, 17, 18; (pplane helpful)
Sec.7.6:  Ex.1, Fig.2, Spiral sink/source (p.321), Center (p.322) 
Sec.7.6: #1, 2, 3, 7; 9ab (use pplane)
Sec.7.8:  Ex.1,2; Generalized eigenvector (p.341)
Sec.7.8: #1, 2, 6a, 8a; 6b,8b (use pplane)


Spring Break Spring Break


Sec.7.5 (high-dim):  Ex.4,
Sec.7.5 (high-dim): #7, 8, 9, 12 
Sec.7.6 (high-dim):  Ex.3, Fig.3,4
Sec.7.6 (high-dim): #5, 18a, 19a, 25abc
Sec.7.8 (high-dim):  Prob.#4,5
Sec.7.8 (high-dim): #4, 5, 9, 10


Sec.7.1:  Ex.1; Eqn.(5)(6); Eqn.(14) 
Sec.7.1: #4, 12, 15, 19a 
Sec.7.4:  Thm.1,2,5; Eqn.(5)(6)(7);
Sec.7.4: #1ae, 3ae, 4ae, 12ab 
Sec.7.7:  Ex.1,2,4; Eqn.(2)(5)(6); Eqn.(23)(25)(28); Eqn.(32) (38-44)
Sec.7.7: #1a, 3a, 4a, 9 


Sec.7.9:  Ex.1(diagonalization)
Sec.7.9: #1, 2
Catch-up, Review, and Exam 2



Sec.6.1: Ex.2; Eqn.(4); Ex.4,5,7 
Sec.6.1: #4ab, 5, 8, 9, 10, 12 
Sec.6.1: Linearity Eqn.(6); Ex.8   Sec.6.1: Read #23abc, 24ab 
Sec.6.2: Table 6.2.1  
Sec.6.1: Do 11, 12,14 using Table6.2.1 item14  


Sec.6.2: Eqn.(1)(3)(4); A 1st order example 
Sec.6.2: #1, 2, 3, 4, 6, 7  
Sec.6.2: Ex.1,2 
Sec.6.2: #8, 9, 10, 12, 15, 16  
Sec.6.2: (Higher order) Ex.3
Sec.6.2: #13, 14 


Sec.9.1: Fig.1,2,4,5,6a,8; Table 1
Sec.9.1: #1, 2, 4, 5, 6;  Read #17,18,Fig.8
Sec.9.2: Ex.1,4;  Fig.4,5,6,8  
Sec.9.2: #5abc, 10abc, 11abc, 19ab, 20ab; using pplane
Sec.9.3: Eqn.(4)(5)(6); Thm.2,3; Ex.1
Sec.9.3: #8abcd, #10abcd, 13abcd; using pplane


Sec.9.5: Ex.1, Eqn.(2)--(13), Fig.2
Sec.9.5: #3abcde; using pplane 
Optional topic: SIR model for infectious diseases

Review for Final Exam  



Final Exam (cumulative)  


Last modified by James Liu on Thu.01/01/2026