المعادلات التفاضلية | Differential equations — مقرر…
مِسبار · مقرر جامعي مجاني
Differential equations
تعلم المعادلات التفاضلية (Differential equations) مجانًا عبر 3 وحدات و70 فيديو تعليميًا، بإجمالي نحو 11 ساعة، ضمن مكتبة مِسبار الجامعية.
Learn differential equations—differential equations, separable equations, exact equations, integrating factors, and homogeneous equations, and more.
- 3 وحدات.
- 70 فيديو.
- نحو 11 ساعة مشاهدة.
- المستوى: college.
ابدأ مشاهدة المقرر داخل مكتبة مِسبار
التخصصات المرتبطة بالمقرر
- الهندسة الكهربائية (Electrical Engineering)
- هندسة الحاسوب (Computer Engineering)
- الهندسة الميكانيكية (Mechanical Engineering)
- الهندسة المدنية (Civil Engineering)
- الهندسة الكيميائية (Chemical Engineering)
- الهندسة الصناعية (Industrial Engineering)
- هندسة الطيران والفضاء (Aerospace Engineering)
- الذكاء الاصطناعي (Artificial Intelligence)
- علم البيانات (Data Science)
- الروبوتات (Robotics)
- الرياضيات (Mathematics)
- الفيزياء (Physics)
- تعليم الرياضيات (Mathematics Education)
وحدات ودروس المقرر
1. First order differential equations
37 فيديو تعليمي.
موضوعات ودروس الوحدة
- Differential equations introduction
- Writing a differential equation
- Worked example: linear solution to differential equation
- Slope fields introduction
- Worked example: equation from slope field
- Worked example: slope field from equation
- Worked example: forming a slope field
- Approximating solution curves in slope fields
- Worked example: range of solution curve from slope field
- Euler's method
- Worked example: Euler's method
- Separable equations introduction
- Addressing treating differentials algebraically
- Worked example: identifying separable equations
- Worked example: finding a specific solution to a separable equation
- Worked example: separable equation with an implicit solution
- Separable equations (old)
- Separable equations example (old)
- Exponential models & differential equations (Part 1)
- Exponential models & differential equations (Part 2)
- Worked example: exponential solution to differential equation
- Newton's Law of Cooling
- Worked example: Newton's law of cooling
- Growth models: introduction
- The logistic growth model
- Logistic equations (Part 1)
- Logistic equations (Part 2)
- Worked example: logistic model equations
- Exact equations intuition 1 (proofy)
- Exact equations intuition 2 (proofy)
- Exact equations example 1
- Exact equations example 2
- Exact equations example 3
- Integrating factors 1
- Integrating factors 2
- First order homogenous equations
- First order homogeneous equations 2
2. Second order linear equations
13 فيديو تعليمي.
موضوعات ودروس الوحدة
- 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 roots of the characteristic equations 1
- Complex roots of the characteristic equations 2
- Complex roots of the characteristic equations 3
- Repeated roots of the characteristic equation
- Repeated roots of the characteristic equations part 2
- Undetermined coefficients 1
- Undetermined coefficients 2
- Undetermined coefficients 3
- Undetermined coefficients 4
3. Laplace transform
20 فيديو تعليمي.
موضوعات ودروس الوحدة
- Laplace transform 1
- Laplace transform 2
- L{sin(at)} - transform of sin(at)
- Part 2 of the transform of the sin(at)
- Laplace as linear operator and Laplace of derivatives
- Laplace transform of cos t and polynomials
- "Shifting" transform by multiplying function by exponential
- Laplace transform of t: L{t}
- Laplace transform of t^n: L{t^n}
- Laplace transform of the unit step function
- Inverse Laplace examples
- Dirac delta function
- Laplace transform of the dirac delta function
- Laplace transform to solve an equation
- Laplace transform solves an equation 2
- Using the Laplace transform to solve a nonhomogeneous eq
- Laplace/step function differential equation
- Introduction to the convolution
- The convolution and the Laplace transform
- Using the convolution theorem to solve an initial value prob
مقررات مرتبطة
- حساب المثلثات | Trigonometry
- ما قبل التفاضل والتكامل | Precalculus
- الإحصاء والاحتمالات | Statistics & probability
- التفاضل والتكامل AP (AB) | AP®︎ Calculus AB
- التفاضل والتكامل AP (BC) | AP®︎ Calculus BC
- الإحصاء AP | AP®︎ Statistics
المصدر والحقوق
المحتوى الأصلي المرخص: أكاديمية خان. تقوم مِسبار بالفهرسة والتنظيم حسب التخصص، وتعرض الفيديوهات المرخصة غير التجارية داخل مكتبة مجانية مستقلة.