The certificate course in self-development and self-esteem is designed to help individuals develop a positive attitude towards themselves and their surroundings. The course is aimed at individuals who want to improve their self-esteem, build their confidence, and lead a more fulfilling life. The course will cover various topics such as self-awareness, self-acceptance, self-love, and personal growth.

The certificate course in health and fitness for daily life is designed to provide participants with a comprehensive understanding of the principles and practices necessary to maintain a healthy and active lifestyle. This course covers various aspects of health and fitness, including exercise, nutrition, stress management, and overall well-being. Through theoretical knowledge and practical applications, participants will gain the necessary skills to make informed decisions about their health and fitness routines.

The certificate course in Warehouse Management is designed to provide participants with the essential knowledge and skills needed to manage warehouse operations effectively. The course covers the fundamental concepts of warehouse management, including inventory management, logistics, transportation, and supply chain management. The course aims to help participants enhance their understanding of warehouse operations and develop strategies to optimize warehouse performance.

The Certificate in Operations Research is a comprehensive 36-hour module designed to introduce students to the application of mathematical models in solving intricate decision-making problems. This program aims to equip individuals with the fundamental skills and knowledge required to address complex challenges in various domains, such as logistics, supply chain management, and other operational areas using optimization techniques.

Certificate Course in International Relations is a 36-hour course that provides an overview of the key concepts, theories, and practices in the field of International Relations. The course covers topics such as global governance, international security, diplomacy, international political economy, and regional integration. The course is designed to equip students with a broad understanding of the complex world of international relations.

The Certificate in Environmental Economics is designed to provide participants with an understanding of the economic concepts and principles that underlie environmental issues. This course will explore how economic tools can be used to analyze and solve environmental problems, and how environmental policies can be designed to achieve social and environmental goals.

NET/JRF Coaching

MCM2A04-Professional Competency Course (PCC)-Spread Sheet Application

The course is built upon the foundation laid in the Basic Analysis course of the fifth semester. The course
thoroughly exposes one to the rigor and methods of an analysis course. One has to understand
definitions and theorems of text and study examples well to acquire skills in various problem-solving
techniques. The course will teach one how to combine different definitions, theorems, and techniques
to solve problems one has never seen before. One shall acquire the ability to realize when and how to
apply a particular theorem and how to avoid common errors and pitfalls. The course will prepare
students to formulate and present the ideas of mathematics and to communicate them elegantly.
On successful completion of the course, students will be able to
• State the definition of continuous functions, formulate sequential criteria for continuity, and
prove or disprove the continuity of functions using this criterion.
• Understand several deep and fundamental results of continuous functions on intervals such as
boundedness theorem, maximum-minimum theorem, intermediate value theorem, preservation
of interval theorem, and so on.
• Realise the difference between continuity and uniform continuity and the equivalence of these ideas
for functions on closed and bounded intervals.
• Understand the significance of uniform continuity in the continuous extension theorem.
• Develop the notion of Riemann integrability of a function using the idea of tagged partitions
and calculate the integral value of some simple functions using the definition.
• Understand a few basic results of integration theory.
• Formulate Cauchy criteria for integrability and a few applications of it. In particular, they learn
to use Cauchy criteria in proving the nonintegrability of certain functions.
• Understand classes of functions that are always integrable
• Understand two forms of the fundamental theorem of calculus and their significance in the practical
problem of an integral evaluation.
• Find a justification for the ‘change of variable formula’ used in the practical evaluation problem
of an integral.
• Prove convergence and divergence of sequences of functions and understand the difference between pointwise and uniform convergence of sequences and series
of functions
• Answer a few questions related to the interchange of limits.
• Learn and find examples/counterexamples to prove or disprove the validity of several
mathematical statements that arise naturally in the process/context of learning.
• Understand the notion of improper integrals, their convergence, principal value, and evaluation.
• Learn the properties of and relationship among two important improper integrals namely beta
and gamma functions that frequently appear in mathematics, statistics, science, and engineering.