AE 473 Propulsion II, Fall 1998-1999

IBRAHIM
SINAN
AKMANDOR
AE-107
MIDDLE EAST
TECHNICAL
UNIVERSITY
D EPA RT MENT OF
AEROSPACE
ENGINEERING
Course Outline
AE 502
ADVANCED
ENGINEERING
M AT H EM AT I C S I I
572 0501
Fall 2013-2014
Instructor:
Lectures:Sec. 01:
Office Hours:
Office Tel:
Mobile Tel:
e-mail:
Ibrahim Sinan Akmandor,
Tuesday, 15:40-17:30,
Class: AE 128
Thursday, 13:40-15:30
Class: AE 128
Tuesday, 17:40-18:30 Office AE-107
210 4298,
0532 206 3708
[email protected]
Reference books:
Advanced Engineering Mathematics
Erwin Kreyszig (EK),
ISBN 0-471-33328-X (8th Ed. 1999)
Methods in Applied Algebra and
Analysis; Atilla Aşkar,
Boğaziçi Üniversitesi Yayınları No.253; 3.
Baskı – Eylül 1987
Advanced Calculus for Applications
Francis B. Hildebrand (FBH)
ISBN 0-13-011189-9 (2nd Ed. 1976)
Vector and Tensor Analysis
Harry Lass
McGraw-Hill Kogakusha, Ltd. (1950)
Grading: attendance and homeworks: %10 2 midterms: 40%,
Outline:
Week 1: Algebra of complex numbers (Ch. 10, FBH),
Final
: 50%
Week 2: Analytic functions, line integrals, Cauchy integral formula (Ch. 10, FBH),
Week 3: Taylor series, Laurent series, singularities (Ch. 10, FBH),
Week 4: Singularities, residues (Ch. 10, FBH),
Week 5: Evaluation of real integrals, limiting contours, indented contours, branch
points (Ch. 10, FBH),
1st midterm is after covering functions of a complex variables.
Thursday,14th November 2013 (13:40-15:30)
Week 6: Ordinary differential equations (Ch.1, EK)
Week 7: Linear operators, reduction of orders, special equations (Ch.1, EK)
Week 8: Particular solutions by variation of parameters (Ch.1, FBH)
Week 9: Linear differential equations of second and higher order (Ch.2, EK)
2nd midterm is after covering linear differential equations of higher orders.
Thursday, 19th December 2013 (13:40-15:30)
Week 10: Rank of a matrix, transformation of matrices (Ch.6, EK)
Week 11: Matrix eigenvalue problems (Ch.7, EK)
Week 12: Vector analysis (Ch.6, FBH)
Week 13: Tensor analysis (Ch.8, HL)