Holy Angel University College of Engineering and Architecture Department of Civil Engineering
Course Title:
ADVANCED ENGINEERING MATHEMATICS FOR CE
Course Description:
A s A s study o of s mathematics a and ttheir a advanced c cour ses iin selected ttopics iin m applications iin a engineer ing a and o other a a l l i e d s c i e n c e s . I t c o v e r s t h e s t u d y o f C o m p l e x N u m b e r s, L Laplace s I c t s o C N and IInver se L Laplace T Tr ansf or ms, P Power s Four ier s Matr ices a and ser ies, F ser ies, M Deter minants, V Vector An A and N Numer ical M Methods. Analysis a
Course General Objectives:
Familiarize themselves with the different parameters, laws, theorems and the different methods of solutions in advance mathematics, Develop their abilities on how to apply the different laws, methods and theorems particularly in complex problems. DIFFEQNS (Differential Equations)
Pre-requisite:
Course Outline TOPICS
1. Complex Numbers 1.1 1.2 1.3 1.4
Definition of a Matrix Matrix Addition and Subtraction Scalar Multiplication Matrix Multiplication and Division
1.5 1.6 1.7 1.8 1.9
Transpose of a Matrix Algebraic Properties of Matrix Operation Special type of Matrix Echelon Form of a Matrix Elementary Row/Column Operation on a Matrix
2. Laplace and Inverse Laplace Transforms 2.1 Laplace Transform PRELIMINARY EXAMINATION
3. Power Series 3.1 3.2 3.3 3.4 3.5
General Theorems Theorems on Absolute Convergence Special Test For Convergence Theorems on Uniform Convergence Theorems on Power Series
4. Fourier Series MIDTERM EXAMINATION
5. Vector Analysis 5.1 The Algebra of vectors 5.2 The Norm of a vector 5.3 Parallel and Perpendicular Vectors 6. Numerical Method 6.1 Finite Differences 6.2 Factorial Polynomials
6.3 6.4 6.5 6.6
Summation The Newton Formula Operation and Collocation Polynomials Divided Differnces
FINAL EXAMINATION
LEARNING RESOURCES: TEXTBOOK:
Dulay,Virgilio, Advanced Engineering Mathematics, 1996
REFERENCES:
Kreyszig, Erwin, Advanced Engineering Mathematics, John Wiley and Son Publishing 1972 Bromwell,Arthur, Advanced Mathematics in Physics and Engineering, Mc Graw Hill Publishing 1953 Kolman, Bernard Linear Algebra, Mc Millan Publishing Hous1991 Scheid, Francis, Numerical Analysis, Mc Graw Hill Publishing 1968 MatLab Manuals Rel 12, MSOffice 2000
