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Timeline for Midterms |
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November
2024 |
| 03 - Midterm I |
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December 2024
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| 14 - Midterm II |
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January 2025
?? - Final Exam
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Grading
Midterm 1 - 25 %
Midterm 2 - 25 %
Final - 40 %
Homeworks - 4 %
Quizes - 6 %
Text Book
Erwin Kreyszig, "Advanced Engineering Mathematics” 10th Ed, Wiley |
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Weeks |
Week Days
(Monday-Friday) |
Course
Material |
Sat |
Quiz |
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Week 1
23-27 Sept 2024 |
Complex
Numbers and Their Geometric Representation, Polar Form. Powers and
Roots, Derivative. Analytic Function |
Sec.
13.1, 13.2, 13.3 |
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Week 2
30 Sept-4 Oct 2024 |
Cauchy–Riemann Equations. Laplace’s Equation, Exponential Function,
Trigonometric and Hyperbolic Functions. Euler’s Formula. |
Sec.
13.4, 13.5, 13.6, 13.7 |
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Week 3
7-11 Oct 2024 |
Line
Integral in the Complex Plane, Cauchy’s Integral Theorem, Cauchy’s
Integral Formula, Derivatives of Analytic Functions |
Sec.
14.1, 4.2, 14.3, 14.4 |
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Week 4
14-18 Oct 2024 |
Matrices,
Vectors: Addition and Scalar Multiplication, Matrix Multiplication,
Linear Systems of Equations. Gauss Elimination |
Sec.
7.1, 7.2, 7.3 |
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Quiz 1
Thursday |
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Week 5
21-25 Oct 2024 |
Linear
Independence. Rank of a Matrix. Vector Space, Solutions of Linear
Systems: Existence, Uniqueness, Second- and Third-Order
Determinants. Cramer’s Rule, Inverse of a Matrix. Gauss–Jordan
Elimination |
Sec.
7.4, 7.5, 7.6, 7.7, 7.8 |
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Week 6
28 Oct-1 Nov 2024 |
29 Ekim
Cumhuriyet Bayramı |
Vector
Spaces, Inner Product Spaces. Linear Transformations, |
Sec.
7.9, 8.1 |
Make up for
29
Oct Classes |
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Week 7
4-8 Nov 2024 |
Determining
Eigenvalues and Eigenvectors Applications of Eigenvalue Problems,
Symmetric, Skew-Symmetric, and Orthogonal Matrices |
Sec.
8.2, 8.3 |
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Week 8
11-15 Nov 2024 |
Midterm Week |
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Week 9
18-22 Nov 2024 |
Eigenbases.
Diagonalization. Quadratic Forms, Gram-Schmidt Orthogonalization
(Class Notes) |
Sec.
8.4 &
Class Notes |
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Week 10
25-29 Nov 2024 |
Basic
Concepts, Modeling, Euler’s Method, Separable Ordinary Differential
Equations (ODE). |
Sec.
1.1, 1.2, 1.3 |
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Quiz 2
Thursday |
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Week 11
2-6 Dec 2024 |
Exact
Ordinary Differential Equations (ODE), Integrating Factors, Linear
ODEs. |
Sec.
1.4, 1.5, 1.7 |
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Week 12
9-13 Dec 2024 |
Homogeneous
Linear ODEs of Second Order, Homogeneous Linear ODEs with Constant
Coefficients, Modeling of Engineering Problems,
Modeling:
Forced Oscillations, Resonance, Electric Circuits |
Sec.
2.1, 2.2, 2.4,
2.6,
2.7, 2.8,
2.9 |
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Week 13
16-20 Dec 2024 |
Homogeneous
Linear ODEs, Homogeneous Linear ODEs with Constant Coefficients,
Nonhomogeneous Linear ODEs |
Sec.
3.1, 3.2, 3.3 |
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Week 14
23-27 Dec 2024 |
Systems of
ODEs as Models in Engineering Applications, Basic Theory of Systems
of ODEs. Wronskian, Constant-Coefficient Systems. |
Sec.
4.1, 4.2, 4.3 |
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Quiz 3
Tuesday |
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Week 15
31 Dec 2024 |
Review |
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