Gautam Varde Courses

Quasistatic Process and W=PdV Derivation - Introduction to Thermodynamics

Explore quasistatic processes and derive the work equation W=PdV in this concise introduction for first-year engineering students, covering fundamental thermodynamic concepts.

• YouTube
• 12 minutes
• On-Demand
• Free Video

Important Definitions in Thermodynamics - Pressure, Force, and Specific Heat

Explore key thermodynamic concepts including pressure, force, work, internal energy, specific heat, latent heat, enthalpy, and entropy in this concise introduction for engineering students.

• YouTube
• 13 minutes
• On-Demand
• Free Video

Prime Mover and Its Classifications - First Year Engineering

Explore the concept and classifications of prime movers, essential knowledge for engineering students in mechanical and energy systems.

• YouTube
• 12 minutes
• On-Demand
• Free Video

Legendre's Equation and Polynomials - Series Solutions of ODEs

Explore Legendre's equation, polynomials, and series solutions of ODEs through practical problem-solving and numerical examples.

• YouTube
• 12 minutes
• On-Demand
• Free Video

Power Series Method for Series Solutions of Differential Equations

Learn to find power series solutions for differential equations through clear examples and step-by-step explanations of the numerical method.

• YouTube
• 13 minutes
• On-Demand
• Free Video

Ordinary and Singular Points in Differential Equations - Series Solution

Explore methods for identifying ordinary and singular points in differential equations, with examples of regular and irregular singular points.

• YouTube
• 13 minutes
• On-Demand
• Free Video

Diesel Cycle Numericals - Basic Mechanical Engineering

Learn to solve diesel cycle numerical problems for basic mechanical engineering, essential for first-year BTech/BE students.

• YouTube
• 15 minutes
• On-Demand
• Free Video

Petrol Cycle and Otto Cycle Numerical Calculations - BME for 1st Year Engineering

Solve key numerical problems for petrol and Otto cycles in engineering thermodynamics, focusing on fuel-air mixtures and essential calculations for first-year students.

• YouTube
• 14 minutes
• On-Demand
• Free Video

Existence and Uniqueness of Solutions for Higher Order Differential Equations - Numerical Problems

Solve problems on existence and uniqueness of solutions for higher order differential equations, enhancing mathematical problem-solving skills.

• YouTube
• 13 minutes
• On-Demand
• Free Video

Wronskian Differential Equations - Linear Dependence and Independence of ODEs

Explore Wronskian differential equations, linear dependence/independence of ODE solutions, and Wronskian matrices through numerical problems and practical applications.

• YouTube
• 14 minutes
• On-Demand
• Free Video

Euler Cauchy Equations - Numericals for Ordinary Differential Equations of Higher Order

Solve complex Euler Cauchy equations through step-by-step numerical examples, enhancing understanding of higher-order ordinary differential equations in mathematics.

• YouTube
• 14 minutes
• On-Demand
• Free Video

Solution by Variation of Parameters - Higher Order Differential Equations

Learn to solve higher order differential equations using variation of parameters, with practical examples and numerical problems explained step-by-step.

• YouTube
• 12 minutes
• On-Demand
• Free Video

Method of Undetermined Coefficients - Problems and Examples for Higher Order Differential Equations

Learn to solve higher-order differential equations using the Method of Undetermined Coefficients, with practical problems and examples to enhance understanding.

• YouTube
• 12 minutes
• On-Demand
• Free Video

Higher Order Homogeneous Differential Equations with Constant Coefficients - Examples

Explore problem-solving techniques for higher order homogeneous differential equations with constant coefficients through practical examples and step-by-step solutions.

• YouTube
• 10 minutes
• On-Demand
• Free Video

Non-Homogeneous Linear Differential Equations with Higher Order - Problems and Examples

Explore advanced problem-solving techniques for non-homogeneous linear differential equations of higher order through detailed examples and step-by-step solutions.

• YouTube
• 12 minutes
• On-Demand
• Free Video