Boğaziçi Üniversitesi matematik öğretmenliği mastır ve doktora yapmış 19 yıllık öğretmenlik ve özel ders deneyimli hocadan özgün ders notu ve teknoloji destekli eğitimle yüzlerce üniversite ve lise öğrencisine özel ders vermiş hocadan skype veya zoom üzerinden uygun fiyata üniversite öğrencilerine birebir veya online olarak diferansiyel denklemler ,
dersleri verilir. Eğer eksikliklerinizi kısa sürede tamamlamak ve matematik dersleri sınavlarında başarılı olmak istiyorsanız işte fırsat, şu an seviyeniz ne olursa olsun mutlaka başarılı olacaksınız. Unutmayın özel dersi işin uzmanından alırsanız hem kısa sürede öğrenir hem de gereksiz yere zaman ve para harcamış olmazsınız.
Üniversitede okuyan öğrenciler aldıkları dersleri düzenli takip etmekte zorlanır. Ayrıca liseden de çok fazla çalışmadan üniversitede bir bölüme girmiş olabilir, fakat her ne kadar bazı özel üniversitelerde dersleri geçmek kolay olsa da genelde calculus derslerini iyi bir ortalama ile geçmek çok kolay değil. Özel ders, öğrencilerin iyi bir notla geçmelerini ve takip edemedikleri konuları da kısa sürede öğrenmelerini sağlar. Ders verdiğim öğrenciler bu tür problemleri yaşamadan ve yüksek notlarla derslerini geçerler.referanslar ……..
………………………………………………………………………………..
- e-mail : snf1881@gmail.com
- web: www.ozelgeometri.com
- tel: 05423140369
- Youtube:youtube/@ozelcalculusdersi345
- Basic Concepts
- Definitions Some of the common definitions and concepts in a differential equations course
- First Order Differential Equations
- Linear Equations Identifying and solving linear first order differential equations.
- Separable Equations Identifying and solving separable first order differential equations.
- first order differential equations.
- Modeling with First Order Differential Equations Using first order differential equations to model physical situations.
- Exact Equations Identifying and solving exact differential equations.
- Bernoulli Differential Equations
- Euler’s Method In this section we’ll take a brief look at a method for approximating solutions to differential equations.
- Second Order Differential Equations
- Real Roots Solving differential equations whose characteristic equation has real roots.
- Complex Roots Solving differential equations whose characteristic equation complex real roots.
- Repeated Roots Solving differential equations whose characteristic equation has repeated roots.
- Reduction of Order
- econd order differential equations, including looks at the Wronskian and fundamental sets of solutions.
- Nonhomogeneous Differential Equations
- Undetermined Coefficients The first method for solving nonhomogeneous differential equations that we’ll be looking at in this section.
- Variation of Parameters Another method for solving nonhomogeneous differential equations.
- Laplace Transforms
- The Definition The definition of the Laplace transform.
- Inverse Laplace Transforms In this section we ask the opposite question. Here’s a Laplace transform, what function did we originally have?
- Step Functions This is one of the more important functions in the use of Laplace transforms. With the introduction of this function the reason for doing Laplace transforms starts to become apparent.
- Solving IVP’s with Laplace Transforms
- Nonconstant Coefficient IVP’s
- Convolution Integral
- A brief introduction to the convolution integral and an application for Laplace transforms.
- Table of Laplace Transforms
- Systems of Differential Equations
- determinant of a matrix, linearly independent vectors and systems of equations revisited.
- Eigenvalues and Eigenvectors Finding the eigenvalues and eigenvectors of a matrix.
- Systems of Differential Equations
- Solutions to Systems .
- Real Eigenvalues Solving systems of differential equations with real eigenvalues.
- Complex Eigenvalues Solving systems of differential equations with complex eigenvalues.
- Repeated Eigenvalues Solving systems of differential equations with repeated eigenvalues.
- Nonhomogeneous Systems Solving nonhomogeneous systems of differential equations using undetermined coefficients and variation of parameters.
- Laplace Transforms
- Series Solutions
- Power Series A brief review of some of the basics of power series.
- Taylor Series A reminder on how to construct the Taylor series for a function.
- Series Solutions In this section
- Euler Equations We will look at solutions to Euler’s differential equation in this section.
- Higher Order Differential Equations
- Basic Concepts for nth Order Linear Equations
- Linear Homogeneous Differential Equations
- Undetermined Coefficients
- Variation of Parameters
- Laplace Transforms In this section
- Systems of Differential Equations Here we’ll take a quick look at extending the ideas we discussed when solving 2 x 2 systems of differential equations to systems of size 3 x 3.
- Series Solutions This section serves the same purpose as the Laplace Transform section.
- Boundary Value Problems & Fourier Series
- Eigenvalues and Eigenfunctions .
- Periodic Functions and Orthogonal Functions
- Fourier Sine Series
- Fourier Cosine Series
- Convergence of Fourier Series
- Partial Differential Equations
- The Heat Equation
- The Wave Equation
- Separation of Variables
- Solving the Heat Equation
- Heat Equation with Non-Zero Temperature Boundaries
- Laplace’s Equation Vibrating String
old exams