![\"\"](\"http:\/\/www.calculusdersi.org\/wp-content\/uploads\/2023\/01\/images-20.jpeg\")
<\/a><\/figure><\/div>\n\n\n Bo\u011fazi\u00e7i \u00dcniversitesi matematik \u00f6\u011fretmenli\u011fi\u00a0 mast\u0131r ve doktora yapm\u0131\u015f 19 y\u0131ll\u0131k \u00f6\u011fretmenlik ve \u00f6zel ders deneyimli hocadan \u00f6zg\u00fcn ders notu ve teknoloji destekli e\u011fitimle y\u00fczlerce\u00a0 \u00fcniversite ve lise \u00f6\u011frencisine \u00f6zel ders vermi\u015f hocadan\u00a0 skype veya zoom \u00fczerinden uygun fiyata \u00fcniversite \u00f6\u011frencilerine \u00a0 birebir veya online olarak diferansiyel denklemler , <\/strong>
<\/h4>\n\n\n\ndersleri verilir. E\u011fer eksikliklerinizi k\u0131sa s\u00fcrede tamamlamak ve matematik dersleri s\u0131navlar\u0131nda ba\u015far\u0131l\u0131 olmak istiyorsan\u0131z i\u015fte f\u0131rsat, \u015fu an seviyeniz ne olursa olsun mutlaka ba\u015far\u0131l\u0131 olacaks\u0131n\u0131z. Unutmay\u0131n \u00f6zel dersi i\u015fin uzman\u0131ndan al\u0131rsan\u0131z hem k\u0131sa s\u00fcrede \u00f6\u011frenir hem de gereksiz yere zaman ve para harcam\u0131\u015f olmazs\u0131n\u0131z.<\/strong><\/h4>\n\n\n\n![\"\"](\"http:\/\/www.calculusdersi.org\/wp-content\/uploads\/2023\/01\/image-6.png\")
<\/a><\/figure><\/div>\n\n\n <\/a> \u00dcniversitede okuyan \u00f6\u011frenciler ald\u0131klar\u0131 dersleri d\u00fczenli takip etmekte zorlan\u0131r. Ayr\u0131ca liseden de \u00e7ok fazla \u00e7al\u0131\u015fmadan \u00fcniversitede bir b\u00f6l\u00fcme girmi\u015f olabilir, fakat her ne kadar baz\u0131 \u00f6zel \u00fcniversitelerde dersleri ge\u00e7mek kolay olsa da genelde calculus derslerini iyi bir ortalama ile ge\u00e7mek \u00e7ok kolay de\u011fil. \u00d6zel ders, \u00f6\u011frencilerin iyi bir notla ge\u00e7melerini ve takip edemedikleri konular\u0131 da k\u0131sa s\u00fcrede \u00f6\u011frenmelerini sa\u011flar. Ders verdi\u011fim \u00f6\u011frenciler bu t\u00fcr problemleri ya\u015famadan ve y\u00fcksek notlarla derslerini ge\u00e7erler.referanslar \u2026\u2026..<\/a><\/strong><\/h5>\n\n\n\n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026..<\/strong><\/h4>\n\n\n\n\n- e-mail : snf1881@gmail.com<\/strong><\/li>\n\n\n\n
- web: www.ozelgeometri.com<\/strong><\/li>\n\n\n\n
- tel: 05423140369<\/strong><\/li>\n\n\n\n
- Youtube:youtube\/@ozelcalculusdersi345<\/strong><\/li>\n<\/ul>\n\n\n
\n- Basic Concepts<\/strong><\/li>\n
- Definitions Some of the common definitions and concepts in a differential equations course<\/strong><\/li>\n
- First Order Differential Equations<\/strong><\/li>\n
- Linear Equations Identifying and solving linear first order differential equations.<\/strong><\/li>\n
- Separable Equations Identifying and solving separable first order differential equations. <\/strong><\/li>\n
- first order differential equations.<\/strong><\/li>\n
- Modeling with First Order Differential Equations Using first order differential equations to model physical situations. <\/strong><\/li>\n
- Exact Equations Identifying and solving exact differential equations. <\/strong><\/li>\n
- Bernoulli Differential Equations <\/strong><\/li>\n
- Euler\u2019s Method In this section we\u2019ll take a brief look at a method for approximating solutions to differential equations.<\/strong><\/li>\n
- Second Order Differential Equations<\/strong><\/li>\n
- Real Roots Solving differential equations whose characteristic equation has real roots.<\/strong><\/li>\n
- Complex Roots Solving differential equations whose characteristic equation complex real roots.<\/strong><\/li>\n
- Repeated Roots Solving differential equations whose characteristic equation has repeated roots.<\/strong><\/li>\n
- Reduction of Order <\/strong><\/li>\n
- econd order differential equations, including looks at the Wronskian and fundamental sets of solutions.<\/strong><\/li>\n
- Nonhomogeneous Differential Equations <\/strong><\/li>\n
- Undetermined Coefficients The first method for solving nonhomogeneous differential equations that we\u2019ll be looking at in this section.<\/strong><\/li>\n
- Variation of Parameters Another method for solving nonhomogeneous differential equations.<\/strong><\/li>\n
- Laplace Transforms<\/strong><\/li>\n
- The Definition The definition of the Laplace transform. <\/strong><\/li>\n
- Inverse Laplace Transforms In this section we ask the opposite question. Here\u2019s a Laplace transform, what function did we originally have?<\/strong><\/li>\n
- 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.<\/strong><\/li>\n
- Solving IVP\u2019s with Laplace Transforms <\/strong><\/li>\n
- Nonconstant Coefficient IVP\u2019s <\/strong><\/li>\n
- Convolution Integral <\/strong><\/li>\n
- A brief introduction to the convolution integral and an application for Laplace transforms.<\/strong><\/li>\n
- Table of Laplace Transforms <\/strong><\/li>\n
- Systems of Differential Equations<\/strong><\/li>\n
- determinant of a matrix, linearly independent vectors and systems of equations revisited.<\/strong><\/li>\n
- Eigenvalues and Eigenvectors Finding the eigenvalues and eigenvectors of a matrix. <\/strong><\/li>\n
- Systems of Differential Equations <\/strong><\/li>\n
- Solutions to Systems .<\/strong><\/li>\n
- Real Eigenvalues Solving systems of differential equations with real eigenvalues.<\/strong><\/li>\n
- Complex Eigenvalues Solving systems of differential equations with complex eigenvalues.<\/strong><\/li>\n
- Repeated Eigenvalues Solving systems of differential equations with repeated eigenvalues.<\/strong><\/li>\n
- Nonhomogeneous Systems Solving nonhomogeneous systems of differential equations using undetermined coefficients and variation of parameters.<\/strong><\/li>\n
- Laplace Transforms <\/strong><\/li>\n
- Series Solutions<\/strong><\/li>\n
- Power Series A brief review of some of the basics of power series.<\/strong><\/li>\n
- Taylor Series A reminder on how to construct the Taylor series for a function.<\/strong><\/li>\n
- Series Solutions In this section<\/strong><\/li>\n
- Euler Equations We will look at solutions to Euler\u2019s differential equation in this section.<\/strong><\/li>\n
- Higher Order Differential Equations<\/strong><\/li>\n
- Basic Concepts for nth Order Linear Equations <\/strong><\/li>\n
- Linear Homogeneous Differential Equations <\/strong><\/li>\n
- Undetermined Coefficients <\/strong><\/li>\n
- Variation of Parameters <\/strong><\/li>\n
- Laplace Transforms In this section <\/strong><\/li>\n
- Systems of Differential Equations Here we\u2019ll 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.<\/strong><\/li>\n
- Series Solutions This section serves the same purpose as the Laplace Transform section. <\/strong><\/li>\n
- Boundary Value Problems & Fourier Series<\/strong><\/li>\n
- Eigenvalues and Eigenfunctions .<\/strong><\/li>\n
- Periodic Functions and Orthogonal Functions <\/strong><\/li>\n
- Fourier Sine Series <\/strong><\/li>\n
- Fourier Cosine Series <\/strong><\/li>\n
- Convergence of Fourier Series <\/strong><\/li>\n
- Partial Differential Equations<\/strong><\/li>\n
- The Heat Equation <\/strong><\/li>\n
- The Wave Equation <\/strong><\/li>\n
- Separation of Variables <\/strong><\/li>\n
- Solving the Heat Equation <\/strong><\/li>\n
- Heat Equation with Non-Zero Temperature Boundaries <\/strong><\/li>\n
- Laplace\u2019s Equation Vibrating String <\/strong><\/li>\n<\/ul>\n
old exams<\/strong><\/p>\n<\/p>\n
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\n\n\n240_final_f17.pdf<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n2017<\/td>\n<\/tr>\n \n240a1u98.pdf<\/a><\/td>\n Summer<\/td>\n 1<\/center><\/td>\n1998<\/td>\n<\/tr>\n \n240a2u98.pdf<\/a><\/td>\n Summer<\/td>\n 2<\/center><\/td>\n1998<\/td>\n<\/tr>\n \n240a3u98.pdf<\/a><\/td>\n Summer<\/td>\n 3<\/center><\/td>\n1998<\/td>\n<\/tr>\n \n240afu98.pdf<\/a><\/td>\n Summer<\/td>\n –<\/center><\/td>\n1998<\/td>\n<\/tr>\n \n240b1u98.pdf<\/a><\/td>\n Summer<\/td>\n 1<\/center><\/td>\n1998<\/td>\n<\/tr>\n \n240b2u98.pdf<\/a><\/td>\n Summer<\/td>\n 2<\/center><\/td>\n1998<\/td>\n<\/tr>\n \n240b3u98.pdf<\/a><\/td>\n Summer<\/td>\n 3<\/center><\/td>\n1998<\/td>\n<\/tr>\n \n240bfu98.pdf<\/a><\/td>\n Summer<\/td>\n –<\/center><\/td>\n1998<\/td>\n<\/tr>\n \n240Exam1-Summer2010.pdf<\/a><\/td>\n Summer<\/td>\n 1<\/center><\/td>\n2010<\/td>\n<\/tr>\n \n240exam1spring2010.pdf<\/a><\/td>\n Spring<\/td>\n 1<\/center><\/td>\n2010<\/td>\n<\/tr>\n \n240Exam3-Summer 2010.pdf<\/a><\/td>\n Summer<\/td>\n 3<\/center><\/td>\n2010<\/td>\n<\/tr>\n \n240exam3spring2010.pdf<\/a><\/td>\n Spring<\/td>\n 3<\/center><\/td>\n2010<\/td>\n<\/tr>\n \n240Exam-2(solutions) Summer 2010.pdf<\/a><\/td>\n Summer<\/td>\n 2<\/center><\/td>\n2010<\/td>\n<\/tr>\n \n240fau04.pdf<\/a><\/td>\n Summer<\/td>\n –<\/center><\/td>\n2004<\/td>\n<\/tr>\n \n240fbu04.pdf<\/a><\/td>\n Summer<\/td>\n –<\/center><\/td>\n2004<\/td>\n<\/tr>\n \n240FinalExam-Summer 2010.pdf<\/a><\/td>\n Summer<\/td>\n –<\/center><\/td>\n2010<\/td>\n<\/tr>\n \n240finalSpring2010.pdf<\/a><\/td>\n Spring<\/td>\n –<\/center><\/td>\n2010<\/td>\n<\/tr>\n \n240Finalu14.pdf<\/a><\/td>\n Summer<\/td>\n –<\/center><\/td>\n2014<\/td>\n<\/tr>\n \n240fxf00.pdf<\/a><\/td>\n Fall<\/td>\n –<\/center><\/td>\n2000<\/td>\n<\/tr>\n \n240fxf00.tex<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n2000<\/td>\n<\/tr>\n \n240fxf06.pdf<\/a><\/td>\n Fall<\/td>\n –<\/center><\/td>\n2006<\/td>\n<\/tr>\n \n240fxf97.pdf<\/a><\/td>\n Fall<\/td>\n –<\/center><\/td>\n1997<\/td>\n<\/tr>\n \n240fxf97.tex<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n1997<\/td>\n<\/tr>\n \n240fxs01.pdf<\/a><\/td>\n Spring<\/td>\n –<\/center><\/td>\n2001<\/td>\n<\/tr>\n \n240fxs01.tex<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n2001<\/td>\n<\/tr>\n \n240fxs02.pdf<\/a><\/td>\n Spring<\/td>\n –<\/center><\/td>\n2002<\/td>\n<\/tr>\n \n240fxs02.tex<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n2002<\/td>\n<\/tr>\n \n240fxs06-sol.pdf<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n2006<\/td>\n<\/tr>\n \n240fxs07-sol.pdf<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n2007<\/td>\n<\/tr>\n \n240fxs14.pdf<\/a><\/td>\n Spring<\/td>\n –<\/center><\/td>\n2014<\/td>\n<\/tr>\n \n240fxs94.pdf<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n
<\/a><\/figure><\/div>\n\n\n <\/a> \u00dcniversitede okuyan \u00f6\u011frenciler ald\u0131klar\u0131 dersleri d\u00fczenli takip etmekte zorlan\u0131r. Ayr\u0131ca liseden de \u00e7ok fazla \u00e7al\u0131\u015fmadan \u00fcniversitede bir b\u00f6l\u00fcme girmi\u015f olabilir, fakat her ne kadar baz\u0131 \u00f6zel \u00fcniversitelerde dersleri ge\u00e7mek kolay olsa da genelde calculus derslerini iyi bir ortalama ile ge\u00e7mek \u00e7ok kolay de\u011fil. \u00d6zel ders, \u00f6\u011frencilerin iyi bir notla ge\u00e7melerini ve takip edemedikleri konular\u0131 da k\u0131sa s\u00fcrede \u00f6\u011frenmelerini sa\u011flar. Ders verdi\u011fim \u00f6\u011frenciler bu t\u00fcr problemleri ya\u015famadan ve y\u00fcksek notlarla derslerini ge\u00e7erler.referanslar \u2026\u2026..<\/a><\/strong><\/h5>\n\n\n\n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026..<\/strong><\/h4>\n\n\n\n\n- e-mail : snf1881@gmail.com<\/strong><\/li>\n\n\n\n
- web: www.ozelgeometri.com<\/strong><\/li>\n\n\n\n
- tel: 05423140369<\/strong><\/li>\n\n\n\n
- Youtube:youtube\/@ozelcalculusdersi345<\/strong><\/li>\n<\/ul>\n\n\n
\n- Basic Concepts<\/strong><\/li>\n
- Definitions Some of the common definitions and concepts in a differential equations course<\/strong><\/li>\n
- First Order Differential Equations<\/strong><\/li>\n
- Linear Equations Identifying and solving linear first order differential equations.<\/strong><\/li>\n
- Separable Equations Identifying and solving separable first order differential equations. <\/strong><\/li>\n
- first order differential equations.<\/strong><\/li>\n
- Modeling with First Order Differential Equations Using first order differential equations to model physical situations. <\/strong><\/li>\n
- Exact Equations Identifying and solving exact differential equations. <\/strong><\/li>\n
- Bernoulli Differential Equations <\/strong><\/li>\n
- Euler\u2019s Method In this section we\u2019ll take a brief look at a method for approximating solutions to differential equations.<\/strong><\/li>\n
- Second Order Differential Equations<\/strong><\/li>\n
- Real Roots Solving differential equations whose characteristic equation has real roots.<\/strong><\/li>\n
- Complex Roots Solving differential equations whose characteristic equation complex real roots.<\/strong><\/li>\n
- Repeated Roots Solving differential equations whose characteristic equation has repeated roots.<\/strong><\/li>\n
- Reduction of Order <\/strong><\/li>\n
- econd order differential equations, including looks at the Wronskian and fundamental sets of solutions.<\/strong><\/li>\n
- Nonhomogeneous Differential Equations <\/strong><\/li>\n
- Undetermined Coefficients The first method for solving nonhomogeneous differential equations that we\u2019ll be looking at in this section.<\/strong><\/li>\n
- Variation of Parameters Another method for solving nonhomogeneous differential equations.<\/strong><\/li>\n
- Laplace Transforms<\/strong><\/li>\n
- The Definition The definition of the Laplace transform. <\/strong><\/li>\n
- Inverse Laplace Transforms In this section we ask the opposite question. Here\u2019s a Laplace transform, what function did we originally have?<\/strong><\/li>\n
- 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.<\/strong><\/li>\n
- Solving IVP\u2019s with Laplace Transforms <\/strong><\/li>\n
- Nonconstant Coefficient IVP\u2019s <\/strong><\/li>\n
- Convolution Integral <\/strong><\/li>\n
- A brief introduction to the convolution integral and an application for Laplace transforms.<\/strong><\/li>\n
- Table of Laplace Transforms <\/strong><\/li>\n
- Systems of Differential Equations<\/strong><\/li>\n
- determinant of a matrix, linearly independent vectors and systems of equations revisited.<\/strong><\/li>\n
- Eigenvalues and Eigenvectors Finding the eigenvalues and eigenvectors of a matrix. <\/strong><\/li>\n
- Systems of Differential Equations <\/strong><\/li>\n
- Solutions to Systems .<\/strong><\/li>\n
- Real Eigenvalues Solving systems of differential equations with real eigenvalues.<\/strong><\/li>\n
- Complex Eigenvalues Solving systems of differential equations with complex eigenvalues.<\/strong><\/li>\n
- Repeated Eigenvalues Solving systems of differential equations with repeated eigenvalues.<\/strong><\/li>\n
- Nonhomogeneous Systems Solving nonhomogeneous systems of differential equations using undetermined coefficients and variation of parameters.<\/strong><\/li>\n
- Laplace Transforms <\/strong><\/li>\n
- Series Solutions<\/strong><\/li>\n
- Power Series A brief review of some of the basics of power series.<\/strong><\/li>\n
- Taylor Series A reminder on how to construct the Taylor series for a function.<\/strong><\/li>\n
- Series Solutions In this section<\/strong><\/li>\n
- Euler Equations We will look at solutions to Euler\u2019s differential equation in this section.<\/strong><\/li>\n
- Higher Order Differential Equations<\/strong><\/li>\n
- Basic Concepts for nth Order Linear Equations <\/strong><\/li>\n
- Linear Homogeneous Differential Equations <\/strong><\/li>\n
- Undetermined Coefficients <\/strong><\/li>\n
- Variation of Parameters <\/strong><\/li>\n
- Laplace Transforms In this section <\/strong><\/li>\n
- Systems of Differential Equations Here we\u2019ll 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.<\/strong><\/li>\n
- Series Solutions This section serves the same purpose as the Laplace Transform section. <\/strong><\/li>\n
- Boundary Value Problems & Fourier Series<\/strong><\/li>\n
- Eigenvalues and Eigenfunctions .<\/strong><\/li>\n
- Periodic Functions and Orthogonal Functions <\/strong><\/li>\n
- Fourier Sine Series <\/strong><\/li>\n
- Fourier Cosine Series <\/strong><\/li>\n
- Convergence of Fourier Series <\/strong><\/li>\n
- Partial Differential Equations<\/strong><\/li>\n
- The Heat Equation <\/strong><\/li>\n
- The Wave Equation <\/strong><\/li>\n
- Separation of Variables <\/strong><\/li>\n
- Solving the Heat Equation <\/strong><\/li>\n
- Heat Equation with Non-Zero Temperature Boundaries <\/strong><\/li>\n
- Laplace\u2019s Equation Vibrating String <\/strong><\/li>\n<\/ul>\n
old exams<\/strong><\/p>\n<\/p>\n
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\n\n\n240_final_f17.pdf<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n2017<\/td>\n<\/tr>\n \n240a1u98.pdf<\/a><\/td>\n Summer<\/td>\n 1<\/center><\/td>\n1998<\/td>\n<\/tr>\n \n240a2u98.pdf<\/a><\/td>\n Summer<\/td>\n 2<\/center><\/td>\n1998<\/td>\n<\/tr>\n \n240a3u98.pdf<\/a><\/td>\n Summer<\/td>\n 3<\/center><\/td>\n1998<\/td>\n<\/tr>\n \n240afu98.pdf<\/a><\/td>\n Summer<\/td>\n –<\/center><\/td>\n1998<\/td>\n<\/tr>\n \n240b1u98.pdf<\/a><\/td>\n Summer<\/td>\n 1<\/center><\/td>\n1998<\/td>\n<\/tr>\n \n240b2u98.pdf<\/a><\/td>\n Summer<\/td>\n 2<\/center><\/td>\n1998<\/td>\n<\/tr>\n \n240b3u98.pdf<\/a><\/td>\n Summer<\/td>\n 3<\/center><\/td>\n1998<\/td>\n<\/tr>\n \n240bfu98.pdf<\/a><\/td>\n Summer<\/td>\n –<\/center><\/td>\n1998<\/td>\n<\/tr>\n \n240Exam1-Summer2010.pdf<\/a><\/td>\n Summer<\/td>\n 1<\/center><\/td>\n2010<\/td>\n<\/tr>\n \n240exam1spring2010.pdf<\/a><\/td>\n Spring<\/td>\n 1<\/center><\/td>\n2010<\/td>\n<\/tr>\n \n240Exam3-Summer 2010.pdf<\/a><\/td>\n Summer<\/td>\n 3<\/center><\/td>\n2010<\/td>\n<\/tr>\n \n240exam3spring2010.pdf<\/a><\/td>\n Spring<\/td>\n 3<\/center><\/td>\n2010<\/td>\n<\/tr>\n \n240Exam-2(solutions) Summer 2010.pdf<\/a><\/td>\n Summer<\/td>\n 2<\/center><\/td>\n2010<\/td>\n<\/tr>\n \n240fau04.pdf<\/a><\/td>\n Summer<\/td>\n –<\/center><\/td>\n2004<\/td>\n<\/tr>\n \n240fbu04.pdf<\/a><\/td>\n Summer<\/td>\n –<\/center><\/td>\n2004<\/td>\n<\/tr>\n \n240FinalExam-Summer 2010.pdf<\/a><\/td>\n Summer<\/td>\n –<\/center><\/td>\n2010<\/td>\n<\/tr>\n \n240finalSpring2010.pdf<\/a><\/td>\n Spring<\/td>\n –<\/center><\/td>\n2010<\/td>\n<\/tr>\n \n240Finalu14.pdf<\/a><\/td>\n Summer<\/td>\n –<\/center><\/td>\n2014<\/td>\n<\/tr>\n \n240fxf00.pdf<\/a><\/td>\n Fall<\/td>\n –<\/center><\/td>\n2000<\/td>\n<\/tr>\n \n240fxf00.tex<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n2000<\/td>\n<\/tr>\n \n240fxf06.pdf<\/a><\/td>\n Fall<\/td>\n –<\/center><\/td>\n2006<\/td>\n<\/tr>\n \n240fxf97.pdf<\/a><\/td>\n Fall<\/td>\n –<\/center><\/td>\n1997<\/td>\n<\/tr>\n \n240fxf97.tex<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n1997<\/td>\n<\/tr>\n \n240fxs01.pdf<\/a><\/td>\n Spring<\/td>\n –<\/center><\/td>\n2001<\/td>\n<\/tr>\n \n240fxs01.tex<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n2001<\/td>\n<\/tr>\n \n240fxs02.pdf<\/a><\/td>\n Spring<\/td>\n –<\/center><\/td>\n2002<\/td>\n<\/tr>\n \n240fxs02.tex<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n2002<\/td>\n<\/tr>\n \n240fxs06-sol.pdf<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n2006<\/td>\n<\/tr>\n \n240fxs07-sol.pdf<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n2007<\/td>\n<\/tr>\n \n240fxs14.pdf<\/a><\/td>\n Spring<\/td>\n –<\/center><\/td>\n2014<\/td>\n<\/tr>\n \n240fxs94.pdf<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n
![<\/a> \u00dcniversitede okuyan \u00f6\u011frenciler ald\u0131klar\u0131 dersleri d\u00fczenli takip etmekte zorlan\u0131r. Ayr\u0131ca liseden de \u00e7ok fazla \u00e7al\u0131\u015fmadan \u00fcniversitede bir b\u00f6l\u00fcme girmi\u015f olabilir, fakat her ne kadar baz\u0131 \u00f6zel \u00fcniversitelerde dersleri ge\u00e7mek kolay olsa da genelde calculus derslerini iyi bir ortalama ile ge\u00e7mek \u00e7ok kolay de\u011fil. \u00d6zel ders, \u00f6\u011frencilerin iyi bir notla ge\u00e7melerini ve takip edemedikleri konular\u0131 da k\u0131sa s\u00fcrede \u00f6\u011frenmelerini sa\u011flar. Ders verdi\u011fim \u00f6\u011frenciler bu t\u00fcr problemleri ya\u015famadan ve y\u00fcksek notlarla derslerini ge\u00e7erler.](\"http:\/\/www.calculusdersi.org\/wp-content\/uploads\/2023\/01\/image.png\"){kind=link}
- \n
- e-mail : snf1881@gmail.com<\/strong><\/li>\n\n\n\n
- web: www.ozelgeometri.com<\/strong><\/li>\n\n\n\n
- tel: 05423140369<\/strong><\/li>\n\n\n\n
- Youtube:youtube\/@ozelcalculusdersi345<\/strong><\/li>\n<\/ul>\n\n\n
- \n
- Basic Concepts<\/strong><\/li>\n
- Definitions Some of the common definitions and concepts in a differential equations course<\/strong><\/li>\n
- First Order Differential Equations<\/strong><\/li>\n
- Linear Equations Identifying and solving linear first order differential equations.<\/strong><\/li>\n
- Separable Equations Identifying and solving separable first order differential equations. <\/strong><\/li>\n
- first order differential equations.<\/strong><\/li>\n
- Modeling with First Order Differential Equations Using first order differential equations to model physical situations. <\/strong><\/li>\n
- Exact Equations Identifying and solving exact differential equations. <\/strong><\/li>\n
- Bernoulli Differential Equations <\/strong><\/li>\n
- Euler\u2019s Method In this section we\u2019ll take a brief look at a method for approximating solutions to differential equations.<\/strong><\/li>\n
- Second Order Differential Equations<\/strong><\/li>\n
- Real Roots Solving differential equations whose characteristic equation has real roots.<\/strong><\/li>\n
- Complex Roots Solving differential equations whose characteristic equation complex real roots.<\/strong><\/li>\n
- Repeated Roots Solving differential equations whose characteristic equation has repeated roots.<\/strong><\/li>\n
- Reduction of Order <\/strong><\/li>\n
- econd order differential equations, including looks at the Wronskian and fundamental sets of solutions.<\/strong><\/li>\n
- Nonhomogeneous Differential Equations <\/strong><\/li>\n
- Undetermined Coefficients The first method for solving nonhomogeneous differential equations that we\u2019ll be looking at in this section.<\/strong><\/li>\n
- Variation of Parameters Another method for solving nonhomogeneous differential equations.<\/strong><\/li>\n
- Laplace Transforms<\/strong><\/li>\n
- The Definition The definition of the Laplace transform. <\/strong><\/li>\n
- Inverse Laplace Transforms In this section we ask the opposite question. Here\u2019s a Laplace transform, what function did we originally have?<\/strong><\/li>\n
- 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.<\/strong><\/li>\n
- Solving IVP\u2019s with Laplace Transforms <\/strong><\/li>\n
- Nonconstant Coefficient IVP\u2019s <\/strong><\/li>\n
- Convolution Integral <\/strong><\/li>\n
- A brief introduction to the convolution integral and an application for Laplace transforms.<\/strong><\/li>\n
- Table of Laplace Transforms <\/strong><\/li>\n
- Systems of Differential Equations<\/strong><\/li>\n
- determinant of a matrix, linearly independent vectors and systems of equations revisited.<\/strong><\/li>\n
- Eigenvalues and Eigenvectors Finding the eigenvalues and eigenvectors of a matrix. <\/strong><\/li>\n
- Systems of Differential Equations <\/strong><\/li>\n
- Solutions to Systems .<\/strong><\/li>\n
- Real Eigenvalues Solving systems of differential equations with real eigenvalues.<\/strong><\/li>\n
- Complex Eigenvalues Solving systems of differential equations with complex eigenvalues.<\/strong><\/li>\n
- Repeated Eigenvalues Solving systems of differential equations with repeated eigenvalues.<\/strong><\/li>\n
- Nonhomogeneous Systems Solving nonhomogeneous systems of differential equations using undetermined coefficients and variation of parameters.<\/strong><\/li>\n
- Laplace Transforms <\/strong><\/li>\n
- Series Solutions<\/strong><\/li>\n
- Power Series A brief review of some of the basics of power series.<\/strong><\/li>\n
- Taylor Series A reminder on how to construct the Taylor series for a function.<\/strong><\/li>\n
- Series Solutions In this section<\/strong><\/li>\n
- Euler Equations We will look at solutions to Euler\u2019s differential equation in this section.<\/strong><\/li>\n
- Higher Order Differential Equations<\/strong><\/li>\n
- Basic Concepts for nth Order Linear Equations <\/strong><\/li>\n
- Linear Homogeneous Differential Equations <\/strong><\/li>\n
- Undetermined Coefficients <\/strong><\/li>\n
- Variation of Parameters <\/strong><\/li>\n
- Laplace Transforms In this section <\/strong><\/li>\n
- Systems of Differential Equations Here we\u2019ll 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.<\/strong><\/li>\n
- Series Solutions This section serves the same purpose as the Laplace Transform section. <\/strong><\/li>\n
- Boundary Value Problems & Fourier Series<\/strong><\/li>\n
- Eigenvalues and Eigenfunctions .<\/strong><\/li>\n
- Periodic Functions and Orthogonal Functions <\/strong><\/li>\n
- Fourier Sine Series <\/strong><\/li>\n
- Fourier Cosine Series <\/strong><\/li>\n
- Convergence of Fourier Series <\/strong><\/li>\n
- Partial Differential Equations<\/strong><\/li>\n
- The Heat Equation <\/strong><\/li>\n
- The Wave Equation <\/strong><\/li>\n
- Separation of Variables <\/strong><\/li>\n
- Solving the Heat Equation <\/strong><\/li>\n
- Heat Equation with Non-Zero Temperature Boundaries <\/strong><\/li>\n
- Laplace\u2019s Equation Vibrating String <\/strong><\/li>\n<\/ul>\n
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\n 240_final_f17.pdf<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n 2017<\/td>\n<\/tr>\n \n 240a1u98.pdf<\/a><\/td>\n Summer<\/td>\n 1<\/center><\/td>\n 1998<\/td>\n<\/tr>\n \n 240a2u98.pdf<\/a><\/td>\n Summer<\/td>\n 2<\/center><\/td>\n 1998<\/td>\n<\/tr>\n \n 240a3u98.pdf<\/a><\/td>\n Summer<\/td>\n 3<\/center><\/td>\n 1998<\/td>\n<\/tr>\n \n 240afu98.pdf<\/a><\/td>\n Summer<\/td>\n –<\/center><\/td>\n 1998<\/td>\n<\/tr>\n \n 240b1u98.pdf<\/a><\/td>\n Summer<\/td>\n 1<\/center><\/td>\n 1998<\/td>\n<\/tr>\n \n 240b2u98.pdf<\/a><\/td>\n Summer<\/td>\n 2<\/center><\/td>\n 1998<\/td>\n<\/tr>\n \n 240b3u98.pdf<\/a><\/td>\n Summer<\/td>\n 3<\/center><\/td>\n 1998<\/td>\n<\/tr>\n \n 240bfu98.pdf<\/a><\/td>\n Summer<\/td>\n –<\/center><\/td>\n 1998<\/td>\n<\/tr>\n \n 240Exam1-Summer2010.pdf<\/a><\/td>\n Summer<\/td>\n 1<\/center><\/td>\n 2010<\/td>\n<\/tr>\n \n 240exam1spring2010.pdf<\/a><\/td>\n Spring<\/td>\n 1<\/center><\/td>\n 2010<\/td>\n<\/tr>\n \n 240Exam3-Summer 2010.pdf<\/a><\/td>\n Summer<\/td>\n 3<\/center><\/td>\n 2010<\/td>\n<\/tr>\n \n 240exam3spring2010.pdf<\/a><\/td>\n Spring<\/td>\n 3<\/center><\/td>\n 2010<\/td>\n<\/tr>\n \n 240Exam-2(solutions) Summer 2010.pdf<\/a><\/td>\n Summer<\/td>\n 2<\/center><\/td>\n 2010<\/td>\n<\/tr>\n \n 240fau04.pdf<\/a><\/td>\n Summer<\/td>\n –<\/center><\/td>\n 2004<\/td>\n<\/tr>\n \n 240fbu04.pdf<\/a><\/td>\n Summer<\/td>\n –<\/center><\/td>\n 2004<\/td>\n<\/tr>\n \n 240FinalExam-Summer 2010.pdf<\/a><\/td>\n Summer<\/td>\n –<\/center><\/td>\n 2010<\/td>\n<\/tr>\n \n 240finalSpring2010.pdf<\/a><\/td>\n Spring<\/td>\n –<\/center><\/td>\n 2010<\/td>\n<\/tr>\n \n 240Finalu14.pdf<\/a><\/td>\n Summer<\/td>\n –<\/center><\/td>\n 2014<\/td>\n<\/tr>\n \n 240fxf00.pdf<\/a><\/td>\n Fall<\/td>\n –<\/center><\/td>\n 2000<\/td>\n<\/tr>\n \n 240fxf00.tex<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n 2000<\/td>\n<\/tr>\n \n 240fxf06.pdf<\/a><\/td>\n Fall<\/td>\n –<\/center><\/td>\n 2006<\/td>\n<\/tr>\n \n 240fxf97.pdf<\/a><\/td>\n Fall<\/td>\n –<\/center><\/td>\n 1997<\/td>\n<\/tr>\n \n 240fxf97.tex<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n 1997<\/td>\n<\/tr>\n \n 240fxs01.pdf<\/a><\/td>\n Spring<\/td>\n –<\/center><\/td>\n 2001<\/td>\n<\/tr>\n \n 240fxs01.tex<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n 2001<\/td>\n<\/tr>\n \n 240fxs02.pdf<\/a><\/td>\n Spring<\/td>\n –<\/center><\/td>\n 2002<\/td>\n<\/tr>\n \n 240fxs02.tex<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n 2002<\/td>\n<\/tr>\n \n 240fxs06-sol.pdf<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n 2006<\/td>\n<\/tr>\n \n 240fxs07-sol.pdf<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n 2007<\/td>\n<\/tr>\n \n 240fxs14.pdf<\/a><\/td>\n Spring<\/td>\n –<\/center><\/td>\n 2014<\/td>\n<\/tr>\n \n 240fxs94.pdf<\/a><\/td>\n <\/td>\n –<\/center><\/td>\n - Definitions Some of the common definitions and concepts in a differential equations course<\/strong><\/li>\n
- web: www.ozelgeometri.com<\/strong><\/li>\n\n\n\n