MATH 238: Applied Differential Equations

We will have a quiz at Apr 4th (Fri). The quiz will cover Sec 4.2 and 4.3. We use Laplace transform to solve differential equations. I'll write down the formula on the board.

Objective:

(1) a basic understanding the special language, notation, and point of view of ordinary differential equations (ODEs), and the importance of differential equations in the modeling of many physical laws and processes,

(2) the ability to solve basic differential equations,

(3) a basic understanding of differential equations from contrasting but complementary points of view: algebraic, graphical, numerical, and procedural,

(4) reinforcement of the concepts and techniques learned in calculus,

(5) a basic understanding of some classical problems and processes, such as spring mass systems, and electrical circuits,

(6) an improved ability to read, write, speak, and think in mathematical terms.

Course Syllabus

Schedule:

Mon, Wed, Fri 10:20 -- 11:15 am (Shelby Center 158)
Office Hour: Mon, Wed 11:15 am -- 12:45 pm, Tue, Thu 10:55 am -- 12:25 pm and by appointment

week 1: Sec 1.1, 1.2, 1.4
week 2: Sec 1.4, 1.5
week 3: Sec 1.6
week 4: Sec 1.7, 1.8
week 5: Review and Exam 1
week 6: Sec 2.1, 2.3
week 7: Sec 2.2, 2.3
week 8: Sec 2.4, 2.5
week 9: Sec 2.5, Review and Exam 2
week 10: Sec 4.1
week 11:

Textbook:

Elementary Differential Equations with BVPs, by Edwards and Penny, Prentice Hall Publishers.

Additional References:

Optional Lecture Notes on Differential Equations by Dr. Ken Howell

William Boyce and Richard DiPrima, Elementary Differential Equations, John Wiley ann Sons.

Grades:

2*Midterm exam(2*100=200) + Final exam(150) + Quiz(100) = 450

Midterm Exams in Class

Exam 1: Feb 8th (Fri)

Exam 2: March 7th (Fri)

Exam 3: Apr 11th (Fri)

Final Exams:

April 25th (Fri) 8:00 -- 10:30 am

Quizes:

There will be a quiz every Friday.

Homeworks

HW 1: (p 8) 2, 3, 7, 9, 12, 13, 16, 17, 20, 22, 25, 32, 34, 35, 37; (p 16) 2, 5, 6, 8, 10, 14, 17, 19, 24, 27; (p 41) 2, 3, 6, 9, 12, 17, 20, 24, 26;

HW 2: (p 52) 1, 3, 6, 8, 11, 13, 15, 19, 23, 26, 27, 30, 31, 33; (p 69) 1, 2, 7, 10, 12, 18, 21, 22, 26; (p 80) 9, 10, 12, 21; (p 90) 2, 4, 6;

HW 3: (p 95) 1, 2, 5, 6, 10, 16, 24, 28, 31; (p 107) 1, 3, 6, 7, 8, 10, 11, 13, 15, 17, 18, 20, 21, 24, 25,34,37,39; (p 118) 1, 3, 4, 7, 8, 13, 17, 19, 21, 22, 23;

HW 4: (p 130) 1, 7, 10, 12, 14, 17, 19, 21, 23, 25, 27, 29, 33, 38; (p 156) 3, 6, 9, 10, 14, 17, 20, 23, 25, 26, 32, 34, 35, 38;

HW 5: (p 268) 2, 3, 4, 6, 7, 11, 12, 14, 16, 23, 25, 26, 27, 28; (p 278) 1, 3, 6, 9, 11, 12, 17, 19, 20; (p 287) 1, 3, 5, 7, 9, 11, 12, 13, 15, 27, 29;

HW 6: (p 295) 1, 2, 5, 8, 9, 10, 14, 15, 16, 19, 33, 36; (P 304) 1, 2, 3, 11, 13; (p 314) 1, 2, 4, 5;