Embedded Files
Faculties of Mathematics
As a Lecturer in Mathematics at the Department of General Education at UGV, I conduct the below courses for this running semester from different Departments for Regular batches. I conduct some other mathematics courses as well for out evening batches. The courses are available on online. If you have any specific questions about course topics, feel free to message or contact any how, and I will respond as soon as possible.
UGV 1st Convocation - 2025
UGV 1st Convocation - 2025
Courses to Conduct (Semester : Summer - 2026)
Courses to Conduct (Semester : Summer - 2026)
0541-1201: Ordinary and Partial Differential Equations
0541-1201: Ordinary and Partial Differential Equations
Department(s) : EEE, CE, ME-2nd semester
Department(s) : EEE, CE, ME-2nd semester
The Ordinary and Partial Differential Equations course covers the theory and practical solution methods for both Ordinary Differential Equations (ODEs) and Partial Differential Equations (PDEs), which serve as the foundational mathematical language for modeling rates of change in physical, engineering, and economic systems. Students begin by mastering analytical techniques for first-order and higher-order linear ODEs, applying Laplace transforms to solve initial value problems, and analyzing systems of differential equations using eigenvalues. The course then transitions to multi-variable calculus applications through the classification and modeling of PDEs, focusing on the three foundational boundary value problems—the heat, wave, and Laplace equations—solved primarily via the method of separation of variables and Fourier series expansions.Â
Course Materials : Available on > UGV Website
Video Lectures : Join Facebook GroupÂ
0541-3109: Statistics, Vector Analysis & Coordinate Geometry
0541-3109: Statistics, Vector Analysis & Coordinate Geometry
Department(s) : CE-5th semester
Department(s) : CE-5th semester
This course serves as a critical mathematical cornerstone, integrating Statistics, Vector Analysis, and Coordinate Geometry to bridge the gap between theoretical abstraction and real-world application. By synthesizing the study of data-driven uncertainty, spatial direction and magnitude, and the algebraic representation of geometric structures, the curriculum equips students with a robust toolkit for modeling complex physical systems and making informed decisions in an era of big data. Whether analyzing force distributions in engineering, optimizing processes through statistical inference, or navigating multidimensional spaces in computer science, students develop the analytical rigor and visualization skills essential for solving the multifaceted problems of modern science and technology.
Course Materials : Available on > UGV Website
Video Lectures : Join Facebook GroupÂ
0541-2105: Fourier Analysis and Laplace Transform
0541-2105: Fourier Analysis and Laplace Transform
Department(s) : EEE-5th semester
Department(s) : EEE-5th semester
This course provides the essential mathematical framework for analyzing and solving linear differential equations and modeling periodic phenomena, which are fundamental to modern science and engineering. By mastering Fourier Analysis, students gain the ability to decompose complex signals into their constituent frequencies, enabling advanced study in signal processing, acoustics, and heat transfer. Complementarily, the Laplace Transform offers a powerful operational tool for converting differential equations into simpler algebraic problems, making it indispensable for analyzing transient states in control systems and electrical circuits. Together, these transforms empower students to transition between the time and frequency domains, fostering a deeper understanding of system stability, resonance, and the dynamic behavior of physical systems.
Course Materials : Available on > UGV Website
Video Lectures : Join Facebook GroupÂ
0541-114: Mathematics for Business Decision
0541-114: Mathematics for Business Decision
Department(s) : BBA-1st semester
Department(s) : BBA-1st semester
The Mathematics for Business Decision course provides the quantitative framework necessary for making data-driven, strategic choices in a complex economic landscape. By integrating advanced algebraic modeling, optimization techniques, and probability theory, the curriculum empowers students to move beyond intuition and utilize rigorous mathematical logic to solve multifaceted corporate problems. Focus is placed on applying calculus to determine marginal costs and revenues, using linear programming for resource allocation, and employing statistical models to forecast market trends. This course equips future leaders with the analytical precision required to evaluate risks, maximize operational efficiency, and drive sustainable profitability through evidence-based decision-making.
Course Materials : Available on > UGV Website
Video Lectures : Join Facebook GroupÂ
0541-613/715: Business MathematicsÂ
0541-613/715: Business MathematicsÂ
Department(s) : MBA(Evn), EMBA-1st semester
Department(s) : MBA(Evn), EMBA-1st semester
The Business Mathematics course serves as a practical bridge between fundamental mathematical principles and their strategic application within the corporate and financial sectors. This curriculum is designed to transform abstract numerical concepts into powerful decision-making tools, focusing on essential areas such as commercial arithmetic, interest calculations, linear programming, and basic calculus for optimization. By mastering these quantitative techniques, students develop the analytical rigor necessary to solve real-world business challenges, including cost-benefit analysis, financial forecasting, and resource allocation. Ultimately, the course empowers future professionals to interpret financial data with precision and utilize logical reasoning to drive organizational efficiency and profitability in a competitive global market.
Course Materials : Available on > UGV Website
Video Lectures : Join Facebook GroupÂ
0541-02-CSE-510 : Engineering Mathematics
0541-02-CSE-510 : Engineering Mathematics
Department(s) : MSc in CSE-2nd semester
Department(s) : MSc in CSE-2nd semester
The course Engineering Mathematics bridges advanced mathematical theory and practical engineering applications, focusing on the analytical tools essential for solving complex computational and physical problems. The curriculum emphasizes multi-variable calculus, linear algebra, and complex variables, alongside a rigorous study of ordinary and partial differential equations. Students learn to formulate, analyze, and solve mathematical models that govern real-world engineering systems, such as heat transfer, fluid dynamics, and wave propagation. By mastering analytical solution methods like Fourier series and Laplace transforms alongside modern numerical approximations, students develop the mathematical maturity required to design efficient algorithms, conduct advanced simulations, and analyze engineering data effectively.Â
Course Materials : Available on > UGV Website
Video Lectures : Join Facebook GroupÂ
Page updated
Google Sites
Report abuse