Get updates on Eligibility, Admission, Placements Fees Structure
Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Course Overview
The online course on Integral and Vector Calculus by Swayam will be offering a detailed introduction to the topic of - integral and vector calculus. The program will deal in a descriptive way with the concepts of- Riemann sum, partition, and Riemann Integrable functions and their applications as well as their properties. The online course will also discuss the fundamentals of- anti-derivatives.
The online certification course will teach the students over the course of twelve weeks about the classical theorems of integral calculus that also includes the- fundamental theorem of integral calculus. The Integral and Vector Calculus online course curriculum includes the concepts of- differentiability, gradient, divergence, directional derivative, and their geometrical interpretation and curl of vector functions in real-world functions.
The important and fundamental topics of - theorems of vector calculus: Gauss’s, Green’s, and Stoke’s theorem will also be discussed in the course. To help the applicants understand in a more comprehensive manner the course has been structured as- core.
The Highlights
- Course organized by Swayam
- Course partnered by Indian Institute of Kharagpur
- Course type-core
- A certificate recognized by the government
- Certificate by NPTEL and Indian Institute of Kharagpur
- 12 weeks duration of the program
Programme Offerings
- videos
- test
- Lectures
- case study
- Reading Material
- Quiz
- online learning
- Self-assessments
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IIT Kharagpur |
- The Integral and Vector Calculus fees for registration are free.
- Rs.1,000/- has to be paid by the candidates to sit for the exam and procure the certificate.
Integral and Vector Calculus fees details
Particulars | Amount |
Registration fee | Free |
Examination fee | Rs.1,000/- |
Eligibility Criteria
Education
Candidates who have knowledge of differential calculus of one and several variables can apply to this program.
Certification Qualification Details
Candidates who are willing to get Integral and Vector Calculus certification should appear in a final proctored exam. They should clear it with a minimum of 75% marks and a minimum average of 25% in 8 out of 12 assignments. Thereafter, the candidates will get a certificate of completion for the Integral and Vector Calculus program.
What you will learn
The candidates will have their skills developed in the listed domains by applying for the Integral and Vector Calculus online course-
- Students will be learning about the gamma functions and their application in the course.
- The participants will be taught about the working mechanisms of the reduction formula.
- They will also study the collection of vector algebra.
- Mechanisms of integral calculus will be discussed elaborately in the session.
- The Integral and Vector Calculus certification syllabus contains the topic of Riemann integrable functions.
- They will further deal with the functions of and applications of the center of gravity.
- The ways of calculating the volumes of integrals will also be discussed in the course.
- Candidates will be dealing with the various differential equations in the Integral and Vector Calculus program
- Students will be dealing with the applications of divergence models.
- The applications of vector calculus will further be elaborated.
Who it is for
The Integral and Vector Calculus online course is for the following students-
- Candidates who come from a mathematics background
Application Details
To get registered in the Integral and Vector Calculus training please follow the listed steps-
Step 1: Students have to click the given URL and get the application form-https://onlinecourses.nptel.ac.in/noc21_ch21/preview
Note- Currently the program is undergoing therefore the application form is not provided. If they want to get more information they can get in touch with the management.
The Syllabus
- Concept of Riemann integral
- Partition
- Mean value theorems
- Properties of Riemann integrable functions
- The fundamental theorem of Integral calculus
- Anti-derivatives
- Reduction formula and derivation of different types of formula
- Tests of convergence
- Improper integrals and their convergence
- Their properties
- Beta and Gamma function
- Leibnitz rule
- Differentiation under the integral sign
- Change of order of integration
- Triple integrals
- Jacobian transformations
- Double integrals
- Rectification
- Area of plane regions
- Surface integrals
- Center of gravity and Moment of Inertia
- Volume integrals
- Scalar and vector fields
- Collection of vector algebra results
- Continuity
- Differentiability of vector functions
- Level surfaces
- Limit
- Divergence and curl
- Directional derivative gradient
- Arc-length
- Curves
- The partial derivative of a vector function
- Conservative and Solenoidal fields
- Irrotational
- Tangent,normal, binormal, Serret-Frenet formula
- Application of vector calculus in mechanics
- Line integrals independent of the path
- Lines, surface and volume integrals
- Stokes theorem
- The divergence theorem of Gauss
- Green’s theorem
- Divergence and curl. revision of problems from Integral and Vector calculus
- Integral definition of the gradient
Evaluation process
Candidates who are willing to get Integral and Vector Calculus certification should appear in a final proctored exam. They should clear it with a minimum of 75% marks and a minimum average of 25% in 8 out of 12 assignments. Thereafter, the candidates will get a certificate of completion for the Integral and Vector Calculus program.
Instructors
IIT Kharagpur Frequently Asked Questions (FAQ's)
The Integral and Vector Calculus online course will be organized for a period of twelve weeks.
The classes for the Integral and Vector Calculus certification course will be organized in the digital platform.
The students can pay the Integral and Vector Calculus fee by the means of online money transactions.
Yes, the application for the course has ended and the classes at present are in progress. But soon the new session will resume.
The students will get the e-certificate issued by the facility of NPTEL and the Indian Institute of Technology, Kharagpur.
Yes, the Integral and Vector Calculus certification syllabus has been provided on the website of Sawayam.
Yes, the application process for the Integral and Vector Calculus certification course has a free enrollment process.
All the candidates who are interested in the said genre of “integral and vector calculus” can apply for the course.
Both students and professionals can apply for the Integral and Vector Calculus training.
The registration form for the Integral and Vector Calculus certification is given on the official site of Swayam.