This course on Differential Equations Part I Basic Theory teaches Differential Equations Part I Basic Theory fundamentals through 2 interactive modules. If you are , then this course is for you. You can access this course on web and mobile, it’s available in language.
This course on Differential Equations Part I Basic Theory teaches Differential Equations Part I Basic Theory fundamentals through 2 interactive modules. If you are , then this course is for you. You can access this course on web and mobile. This complete course is available in language.
Learn new concepts from professionals in the field.
Acquire a basic understanding of a topic or skill
Gain practical project experience to enhance employability.
Obtain a career certificate that can be shared.
Topics you will learn
Introduction
9 videos
1-1 What is a Differentiable Equation?
1-2 Order and Normal Form
1-3 Linear and Nonlinear Equations
1-4 Solution
1-5 Implicit Solution
1-6 Types of Solutions
1-7 Initial Value Problem
1-8 Picard’s Theorem I
1-9 Picard’s Theorem II
1 quiz
Quiz1
First Order Differential Equation 1
9 videos
2-1 Separable Equations
2-2 Separable Equations - Ex’s 1 and 2
2-3 Separable Equations - Ex’s 3 and 4
2-4 Integrating Factor
2-5 Does IVP Have a Unique Solution?
2-6 Exact Equations I
2-7 Exact Equations II
2-8 Exact Equations – Ex. 1
2-9 Exact Equations – Ex. 2
1 quiz
Quiz2
FIRST ORDER DEFERENTIAL EQUATION 2
12 videos
3-1 Integrating Factor I
3-2 Integrating Factor II
3.3 Integrating Factor III
3-4 Substitutions, Ex 1
3-5 Homogeneous Equations
3-6 Substitutions Ex's 2 and 3
3-7 Bernoulli Equation
3-8 Equations with Linear Coefficients
3-9 Equations with Linear Coefficients - Ex. 5
3-10 Ricatti's Equation - Ex. 6
3-11 Clairaut's Equation
3-12 Clairaut's Equation - Ex. 7
1 quiz
Quiz 3
Mathematical Modeling and Applications
5 videos
4-1 Radioactive Decay
4-2 Population Dynamics I
4-3 Population Dynamics II
4-4 Population Dynamics III
4-5 Population Dynamics IV
1 quiz
Quiz4
LINEAR SECOND ORDER EQUATIONS 1
5 videos
5-1 Linear differential equations
5-2 Superposition Principle
5-3 Unique Existence of Solution
5-4 Linear independence
5-5 Wronskian test
1 quiz
Quiz5
Linear Second order equations 2
9 videos
6-1 Fundamental set of solutions
6-2 General solutions
6-3 Nonhomogeneous equations I
6-4 Nonhomogeneous equations II
6-5 Reduction of order I
6-6 Reduction of order II
6-7 Homogeneous linear equations with constant coefficients
6-8 Homogeneous linear equations – Example
6-9 Higher order equations
1 quiz
Quiz6
Linear Second order equations 3
5 videos
7-1 Differential polynomials – Ex. 1
7-2 Annihilator – Ex. 2
7-3 Method of undetermined coefficients I
7-4 Method of undetermined coefficients II – Ex. 3
7-5 Method of undetermined coefficients - Ex. 4
1 quiz
Quiz7
Linear Second order equations 4
4 videos
8-1 Variation of parameters I
8-2 Variation of parameters II
8-3 Variation of parameters III – Ex. 1
8-4 Variation of parameters IV – Ex. 2
1 quiz
Quiz8
APPLICATIONS OF SECOND ORDER EQUATIONS
5 videos
9-1 Spring-mass system
9-2 Free undamped motion – Ex. 1
9-3 Free and Forced damped motion
9-4 Spring-mass system – Ex’s 2 and 3
9-5 Pendulum
1 quiz
Quiz9
Course Offerings
Certificate you will get
Certificate Features
Your certificate can be embedded on your own website or shared on social networking sites like LinkedIn.
Employers can verify the legitimacy of each certificate using the special verification URL that is included with it.
Pre Requsites
Curious Mind to learn new concepts
Strong internet connection
After this Course
Course is for
No results found.
FAQ's
Is there any prerequisite for the course?
Yes. One must be familiar with the basic differential and integral calculus, which are the main contents of college level introductory Calculus course. Although the course does not require more than high school linear algebra, it will be very helpful if one has a little bit of knowledge on Linear Algebra such as the determinant of a square matrix, linear (in)dependence of vectors, and Cramer’s rule of solving a determined system of simultaneous linear algebraic equations.*The beginner should not be discouraged if he finds that he does not have the prerequisites for reading the prerequisites.' from P. R. Halmos, I want to be a mathematician, Math. Assoc. America, 1985.
Q2. What are the main goals of the course?
The course is designed to introduce basic theory, techniques, and applications of differential equations to beginners in the field, who would like to continue their study in the subjects such as natural sciences, engineering, and economics etc. The course is emphasizing methods and techniques of solving certain differential equations.
When will I have access to the lectures and assignments?
Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option: The course may not offer an audit option. You can try a Free Trial instead, or apply for Financial Aid.The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.
What will I get if I purchase the Certificate?
When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.
What is the refund policy?
You will be eligible for a full refund until two weeks after your payment date, or (for courses that have just launched) until two weeks after the first session of the course begins, whichever is later. You cannot receive a refund once you’ve earned a Course Certificate, even if you complete the course within the two-week refund period. See our full refund policyOpens in a new tab.
Is financial aid available?
Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.
To purchase this course you can click on the Enroll Now button it will redirect you to course page, and on that page you can buy Differential Equations Part I Basic Theory course.
