MTH 2201/2202Differential Equations/Linear Algebra- Fall 2009
Instructor: Prof. Gnana Bhaskar Tenali
Office: S 317
Phone: 674-7213
email: gtenali@fit.edu Home Page: http://my.fit.edu/~gtenali
GSA: Ms. Fen Chen
Lecture: MW
TR
2.00p.m- 2.50p.m; SKU120
2.00p.m- 3.15p.m; SKU102
Office hours: TR 3.30p.m – 4.30p.m.and by appointment
Course content
Linear Algebra: Matrix Algebra, linear systems of equations, Gauss elimination, linear
independence, rank of a matrix; Vector space; Solutions of linear systems: Existence and
Uniqueness; determinants, Cramer’s rule; Inverse of a matrix; Gauss Jordan elimination;
Eigenvalues, eigenvectors, symmetric and orthogonal matrices; Eigenbases,
diagonalization, complex matrices, Hermitian and unitary matrices.
Differential Equations: First order Differential Equations: Separable, Exact and Linear;
Second / higher order Linear Differential Equations with Constant Coefficients; Methods
of Undetermined Coefficients and Variation of Parameters. Cauchy Euler equations.
Systems of ODE: First order systems of Differential Equations with constant
coefficients: Homogenous Systems, Nonhomogeneous Systems.
Laplace Transforms: Definition, Properties, periodic functions, Applications to systems
of differential equations.
Text: D.G.ZILL, A first course in Differential Equations with modeling application,
Brooks/Cole, CENGAGE Learning, 2009.
Additional References:
1. Boyce, W. E. and DiPrima, R. C., elementary Differential Equations and
Boundary Value Problems, Eighth Edition, 2005.
2. Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley and Sons, 9th
Edition, 2006.
3. Anton, H. and Busby, R. C., Contemporary Linear Algebra, John Wiley, 2003.
Grading Policy: Final grade is based on the performance in the quizzes, three midterm
examinations, and a final examination. Each quiz carries 10 points; each mid term exam
carries 30 points; The final exam (cumulative) is for 60 points.
Grading scale: 90%-100% is A; 80%-89% is B ; 70% -79% is C; 60% - 69% is D;
Below 60% is F.
The examination schedule is as follows.
Quizzes
(announced in the lecture)
25%
Mid Term Exam 1, 2, 3 9/17/09, 10/15/09, 11/19/09 45%
Makeup Exam
12/2/09
Final Exam
12/11/09 (8-10 am)
30%
There will be only ONE repeat test for those students who may have missed one/two mid
term examinations due to valid reasons and with prior permission. This repeat exam
would be held one week before the final exam. There is no make up for quizzes.
Home work: I’ll assign plenty of homework after each lecture. Homework is neither
collected nor graded. The best way to learn mathematics is to do mathematics. I
encourage you to work in groups on the homework. Since you’ll be required to answer
the tests without using books, notes, or Calculators, I recommend that you do as much
homework as possible without using any of them.
Office Hours: You should make an effort to meet me outside the class for help on
homework problems or for assistance in preparing for an examination. Please also feel
free to call me to set up an appointment for discussion.