PHYS209
2024-2025 Summer (2024-3)

General Information

Refer to the academic catalog for general information about the course. For regulations specific to the current semester, read the Course Guidelines file. Check the ODTUClass page of the course and your university email regularly to stay in touch with the latest updates.

Textbook

W. E. Boyce, and R. C. DiPrima, Elementary Differential Equations and Boundary Value Problems, 9th Ed. (2009)

Weekly Schedule

Wednesday 14.00-16.50 (P4)

Thursday 09.00-11.50 (P4)

Friday 09.00-12.50 (P4)

Sections marked with an asterisk (*) are left to students as reading assignments. These topics are part of the course content, and students are responsible for learning them. However, I usually discuss them very briefly in my classes due to time restrictions.

WEEK-01 (Jul16 - Jul17 - Jul18)

• Classification of Differential Equations

• Separable Equations

• First-Order Linear Equations

• Exact Equations

• Homogeneous Equation

• Bernoulli Equation

• Equations Reducible to First-Order

• Sections: 1.1*, 1.2*, 1.3, 1.4* 2.1, 2.2, 2.3*, 2.4, 2.6, 2.8*

WEEK-02 (Jul23 - Jul24 - Jul25)

• Second and Higher-Order Differential Equations

• Homogeneous Differential Equations

• Reduction of Order

• Cauchy-Euler Equations

• Method of Undetermined Coefficients

• Sections: 3.1, 3.2, 3.3, 3.4, 3.5, 4.1, 4.2, 4.3

WEEK-03 (Jul30 - Jul31 - Aug01)

• Method of Variation of Parameters

• Power Series Solutions Around Ordinary Points

• Sections: 3.6, 3.7*, 3.8*, 4.4, 5.1*, 5.2, 5.3

FIRST MIDTERM EXAMINATION 

(05-AUG-2025, TUESDAY, 18.00-20.30)

WEEK-04 (Aug06 - Aug07 - Aug08)

• Power Series Solutions Around Regular Singular Points

• Introduction to Systems of First-Order Linear Equations

• Sections: 5.4, 5.5, 5.6, 5.7*, 7.1, 7.2, 7.3, 7.4

WEEK-05 (Aug13 - Aug14 - Aug15)

• Systems of First-Order Linear Equations

• Distinct Eigenvalues

• Complex Eigenvalues

• Repeated Eigenvalues

• Introduction to Fourier Series

• Sections: 7.5, 7.6, 7.8, 10.1, 10.2, 10.4

WEEK-06 (Aug20 - Aug21 - Aug22)

• Fourier Series

• Partial Differential Equations

• Separation of Variables

• Heat Equation

• Laplace's Equation

• Sections: 10.5, 10.6, 10.7*, 10.8

SECOND MIDTERM EXAMINATION 

(28-AUG-2025, THURSDAY, 18.00-21.00)