Printable Version| Engineering Mathematics I Grad |
Course Description:
Introduction to linear algebra, including vector spaces, linear dependence and independence, linear transformations, matrices and determinants. Topics include solution of systems of linear equations and eigen-value problems; complex variables, power series, complex integration, and residue theorem; and Fourier series and transforms. Elements of numerical analysis, numerical methods of systems of linear equations, and interpolation are also covered. 3 semester hours.
Text book:
-
Advanced Engineering Mathematics, Erwin Kreyszig, 10th Edition, Wiley
- Foundations of Applied Mathematics, Michael D. Greenberg, Prentice-Hall.
- Advanced Calculus for Applications, Francis B. Hildebrand, 2nd Edition.
- Applied Numerical Methods Using MATLAB, Yang, Cao, Chung and Morris, Wiley Inter-science
Lecture: Tuesday 6:00 - 9:25 PM
| Syllabus | | Handouts | | Assignments | | Sample Exams | | Links |
Course Handouts in PDF
Class Lectures
| No. | Description | File |
|---|---|---|
| 1 | Vectors, Matrices and Linear Systems | Lecture 1 1pg Lecture 1 4pg |
| 2 | Matrix Eigenvalue Problems | Lecture 2 1pg Lecture 2 4pg |
| 3 | Fourier Series, Integrals and Transforms | Lecture 3_Part1 1pg Lecture 3_Part1 4pg Lecture 3_Part2 1pg Lecture 3_Part2 4pg |
| 4 | Complex Numbers and Functions, Complex Differentiation | Lecture 4 2pg |
| 5 | Complex Power and Taylor Series | Lecture 5 2pg Lecture 5 4pg |
| 6 | Numerical Methods: Linear equations by iteration, Interpolatin, Integration & Differentiation, Linear systems by LU decomposition- Gauss Siedel & Jacobi, Matrix Invertability & Norms, Eigen Value problems by iterative methods | Lecture 6 2pg Lecture 6 4pg |
| 6 |