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MATHEMATICAL PRELIMINARIES: infinite series, series of functions, Binomial theoerm, mathematical induction, Operations of Series Expansions of Functions, Some Important Series
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2 |
MATHEMATICAL PRELIMINARIES: Vectors, Complex Numbers and Functions, Derivatives and Extrema, Evaluation of Integrals, Dirac Delta Functions
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3 |
DETERMINANTS AND MATRICES
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4 |
VECTOR ANALYSIS: Review of Basics Properties, Vector in 3 ‐ D Spaces, Coordinate Transformations, Rotations in R3, Differential Vector Operators
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5 |
VECTOR ANALYSIS: Vector Integrations, Integral Theorems, Potential Theory, Curvilinear Coordinates
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6 |
VECTOR SPACES: Vector in Function Spaces, Gram ‐ Schmidt Orthogonalization, Operators, Self‐Adjoint Operators,
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7 |
MİDTERM EXAM
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8 |
VECTOR SPACES: Unitary Operators, Transformations of Operators, Invariants
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9 |
EIGENVALUE PROBLEMS: Eigenvalue Equations, Matrix Eigenvalue Problems
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10 |
EIGENVALUE PROBLEMS: Hermitian Eigenvalue Problems, Hermitian Matrix Diagonalization, Normal Matrices
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11 |
COMPLEX VARIABLE THEORY: Complex Variables and Functions, Cauchy – Riemann Conditions, Cauchy’s Integral Theorem
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12 |
COMPLEX VARIABLE THEORY: Cauchy’s Integral Formula, Laurent Expansion, Singularities
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13 |
COMPLEX VARIABLE THEORY: Calculus of Residues, Evaluation of Definite Integrals
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14 |
Problem Session
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15 |
FİNAL EXAM
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16 |
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17 |
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18 |
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19 |
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20 |
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