This course enhances analytical, computational, and problem-solving skills through practical applications. Students will develop logical thinking, technical competency, and the ability to solve real-world engineering problems.
Course Details
Explore the comprehensive course modules
Introduction to matrices and elementary operations
Rank of matrix and applications
System of linear equations
Eigen values and Eigen vectors
Cayley-Hamilton theorem
General rules of differentiation and Derivatives of standard functions
Implicit and logarithmic differentiation
properties of indefinite integral
Integration by parts
Partial fractions and definite integrals
Rolle’s theorem
Mean value theorems
Taylor’s theorem
Maclaurin theorem and L'Hospital rule
CA-1
Functions of two variables and Limits and continuity
Partial derivatives
Total derivative and chain rule
Euler theorem for homogeneous functions
Maxima and Minima
Introduction to double integrals
Change of order of integration
Triple integrals
Change of variables
Area and volume using double integrals
Introduction to Fourier series and Euler formula
"Conditions for a Fourier Expansion and Functions having points of discontinuity
Change of Interval
Even/Odd functions and Half range series
Test 2
Learn from leading experts in stem cell research
Dr. Pardeep Kumar is an Associate Professor in the School of Physical Sciences and Chemical Engineering at Lovely Professional University, Punjab, with over 15 years of teaching and research experience. He holds a Ph.D. in Mathematics, specializing in reliability engineering and multi-state system performance analysis under random operating conditions. He qualified the CSIR-NET with All India Rank 15 and GATE with AIR 98, reflecting his strong academic foundation. His research interests include reliability engineering, stochastic modelling, robotic and automated system reliability, and simulation techniques. He has published numerous research papers and book chapters in reputed international journals and edited volumes, contributing significantly to the field of mathematical modelling and system reliability. He is currently supervising a Ph.D. scholar and has guided postgraduate and undergraduate dissertations. Dr. Kumar is actively involved in curriculum development, research committees, and academic administration at the university. He is proficient in tools such as MATLAB and MAPLE and has strong expertise in data analysis and modelling. In addition to his academic achievements, he has been awarded Elite Topper (Top 1%) in multiple NPTEL certification courses, highlighting his commitment to continuous learning and excellence in his field.
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