DİFFERANSİYEL ÖZEL DERS
15 yıl deneyimli BOĞAZİÇİLİ hocadan birebir ve skype üzerinden özel differansiyel denklemler özel ders
Boğaziçi Üniversitesi,İtanbul TEKNİK ÜNİVERSİTESİ,Bilgi Üniversitesi,Koç Üniversitesi,Işık Üniversitesi, İstanbul Üniversitesi,Yıldız Üniversitesi ,Yeditepe Üniversitesi Haliç Üniversitesi Beykent Üniversitesi ,Doğuş Üniversitesi,Kadir HAS , Okan UNİVERSİTESİ,Özyeğin ÜNİVERSİTESİ, Maltepe ÜNİVERSİTESİ, Yeni YÜZYİL ÜN.,ve Kültür Üniversitelerinin ekonomi işletme ,bilgisayar mühendisliği,ekonomi bölümü,insaat mühendisliği ,uluslararasi iliskiler ve çalışma ekonomisi gibi bölümlerde okuyan onlarca üniversite öğrencisine özel dersler verdim.
All content in “First order differential equations”
Intro to differential equations
- Finding particular linear solution to differential equation
- Introduction to differential equations and initial value problems
- Slope field to visualize solutions
- Differential equation from slope field
Separable equations
- Separable differential equations introduction
- Old separable differential equations introduction
Modeling with differential equations
- Modeling population with simple differential equation
- Particular solution given initial conditions for population
- Applying Newton’s Law of Cooling to warm oatmeal
Logistic differential equation and function
- Modeling population as an exponential function
- Logistic differential equation intuition
- Solving the logistic differential equation part 1
- Solving the logistic differential equation part 2
- Logistic function application
Euler’s Method
- Euler’s method program code
- Example Euler’s method exercise
Exact equations and integrating factors
- Exact equations intuition
- Exact equations example
- Exact equations example
- Integrating factors Homogeneous equations
- First order homogenous equations
- First order homogeneous equations 2
All content in “Second order linear equations”
Linear homogeneous equations
- 2nd order linear homogeneous differential equations 1
- 2nd order linear homogeneous differential equations 2
- 2nd order linear homogeneous differential equations 3
- 2nd order linear homogeneous differential equations 4
Complex and repeated roots of characteristic equation
- Complex roots of the characteristic equations 1
- Complex roots of the characteristic equations 3
- Repeated roots of the characteristic equation
- Repeated roots of the characteristic equations part 2
Method of undetermined coefficients
- Undetermined coefficients 1
- Undetermined coefficients 2
- Undetermined coefficients 3
All content in “Laplace transform”
Laplace transform
- L{sin(at)}) – transform of sin(at)
Properties of the Laplace transform
- Laplace transform of t^n: L{t^n}
- Laplace transform of the unit step function
- Laplace transform of the dirac delta function
Laplace transform to solve a differential equation
- Laplace transform to solve an equation
- Laplace transform solves an equation 2
- Using the Laplace transform to solve a nonhomogeneous eq
The convolution integral
- Introduction to the convolution