Mesut Pervizpour

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
Location and Hours:
Lecture: Tuesday 6:00 - 9:25 PM

Syllabus | Handouts | Assignments | Sample Exams | Links

Course Handouts in PDF

Class Lectures
1Vectors, Matrices and Linear Systems Lecture 1 1pg
Lecture 1 4pg
2Matrix Eigenvalue Problems Lecture 2 1pg
Lecture 2 4pg
3Fourier Series, Integrals and Transforms Lecture 3_Part1 1pg
Lecture 3_Part1 4pg
Lecture 3_Part2 1pg
Lecture 3_Part2 4pg
4Complex Numbers and Functions, Complex Differentiation Lecture 4 2pg
5Complex Power and Taylor Series Lecture 5 2pg
Lecture 5 4pg
6Numerical 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