Medium of instructions English
Mode of learning Self study
Mode of Delivery Video Based
number of course credit 4
The course of Differential Calculus offered by the Swayam platform is beneficial for every student. This course is offered under the guidance of MHRD [Ministry of Human Resource Development] and is absolutely free of cost but you have to pay for the certification for this course as guided by the Swayam platform.
This course is an undergraduate-level course in which the duration of the course is 15 weeks and it is divided into 36 sessions. After completion of this course, students will gain 4 credits and a certificate of completion. The students who are pursuing their careers in the science stream or are planning to pursue it or are curious to dive into the depth of mathematics should take this course for understanding the core of Differential Calculus.
Every student can avail themselves the benefits of this course by applying the understanding of Differential Calculus to their degree programmes or in their quantitative learning and even in the basic principles of their academic learning. After completion of this course, you will achieve another big milestone in the field of mathematics and science. Proper learning and understanding of this course by the students can benefit them in their professional lives and can help them in understanding applications of the world as well as of the universe.
Government-approved course under MHRD [Ministry of Human Resource Development].
Duration is 15 weeks
Enrolled candidates will gain 4 credits.
The course is divided into 36 sessions.
Certificate of completion will be provided after paying according to the guidelines of Swayam platform.
100% online programme
100% free of cost programme
- Online lectures
Course and certificate fees
The Differential calculus programme is free of cost programme.
To avail the course completion certificate you have to pay a specific amount according to the guidelines of Swayam platform.
Free of cost
certificate providing authority
Certification qualifying details
Candidates who have enrolled themselves for this course will be awarded a ``Course Completion’’ certificate after paying according to the guidelines of the Swayam platform. The certificate will be provided on the basis of a minimum 30 percent Course Assessment and 70 percent of End-Term Proctored Exam.
The enrolled candidate has to gain 4 credits in order to receive the course completion certificate. The certificate will be signed under the name of Dr. Bijumon Ramalayathil who has 19 years of teaching experience and is the Associate Professor as well as Post Graduate Department of Mathematics. He is the course coordinator of a number of courses on the Swayam platform.
What you will learn
After successful completion of the course Differential, Calculus candidates will be able to gain important insights on-
The candidates will study and learn about Rolle's theorem, mean value theorems through examples.
They will study the concepts of tangents and normals.
They will be familiarized with methods of finding curvature, asymptotes, and singular points.
They will familiarise themselves with the functions of several variables.
They will be able to study sequence and series in calculus.
A detailed study on Taylor’s theorems, Taylor’s series, and Maclaurin’s series through examples.
Study Euler’s theorem on homogeneous functions and some of its mathematical applications.
Familiarize with the concept of limit and continuity
Learn through examples of successive differentiation and Leibniz’s theorem.
Learn methods of tracing curves in cartesian, parametric, and polar forms.
The admission procedure for the Differential Calculus course is direct and simple. You have to follow the below-mentioned steps and enroll yourself in this program.
Step 1: Visit the homepage of the Swayam platform.
Step 2: Click on the URL https://onlinecourses.swayam2.ac.in/cec20_ma22/preview
Step 4: Click the Sign-In/ Register option to start your enrolling procedure.
Step 5: Select your desired course.
Step 6: Fill in your complete details.
Step 7: After your enrolling procedure is complete you can then avail of the lessons.
The precise definition of limit
The inverse of functions and inverse trigonometric functions
Limit of functions - an intuitive approach
Derivatives of trigonometric and inverse trigonometric functions
Implicit differentiation, tangents and normals and logarithmic differentiation
Successive differentiation, the nth derivative of standard functions and leibniz Theorem
Tangent lines and rate of change
The derivative function
Techniques of differentiation and the chain rule
Local linear approximation of functions of one variable
Increasing and decreasing functions and concavity
Extreme values of functions
Curve tracing in cartesian coordinates
Extreme values of functions on unbounded intervals and limit at infinity
The rolles and mean Value Theorems
Alternating series and absolute convergence of series
Power series and radius of converge
Taylor and Maclaurin series of functions
Techniques for finding the limit of sequences
Tests for convergence of series
Graphing polar curves
Tracing of cardioids and families of roses
Tangent lines to polar curves
Curvature and evolutes of curves in parametric equations
The formula for the radius of curvature of cartesian equations
Centre of curvature and circle of curvature of cartesian curves
Differentiable parametrized Curves, a second derivative of parametrized curves
Partial derivatives of higher-order
Curvature in polar coordinates
Functions of several variables
Limits and continuity of functions of several variables
The chain rule of functions of more than one variable
Euler's theorem on homogeneous functions
Exam certification required for this course is a minimum of 30 percent for course assessment and 70 percent for an end-term proctored exam. After paying according to the guidelines of the Swayam platform you can avail the course completion certificate.
How it helps
This course will benefit the candidates who wish to increase their knowledge in the science and mathematics field. Candidates who are waiting for that boost in their professional or educational career can take this course. People who are deprived of education because of their financial circumstances can also enroll themselves in this course as it is a government certified course with properly designed course materials and modules.
On the professional front, this course can provide benefits by giving a deep understanding of topics and applications. For students who are willing to take a deeper knowledge of physics, statistics, computer science, and chemistry this course is extremely beneficial.
This course is extremely beneficial for the people who want to take a deeper knowledge of calculus or want to have a boost in their academics as well in their professional career.
Swayam platform is a government certified platform which makes it unique and more beneficial.
Most of the courses on the Swayam platform are free of cost. Some of the courses are paid but the information is provided for the same.
Yes, a certificate of completion will be provided at the end of the course after 30 percent course assessment and 70 percent of End-Term Proctored Exam.
Yes, course material is provided in pdf form. Also, books and reference materials with web links will be provided.
An android app is available for interactive learning and doubt clearance.
Instructors are available for doubt clearance and the app is also available for interactive learning.
All the instructors at the Swayam platform are experienced teachers with successful careers.
Timings are generally flexible on the Swayam platform if any specific time slot is given by the instructor then it is priorly informed.
Candidates who will complete this course with full concentration and will try to implement the things taught here to their work or academic areas will achieve full success.