Course description

This course is about the basic mathematics that is fundamental and essential component in all streams of undergraduate studies in sciences and engineering. The course consists of topics in differential calculus,integral calculus, linear algebra and differential equations with applications to various engineering problems. This course will cover the following main topics: Mean Value Theorems; Indeterminate Forms; Taylor's and Maclaurin's Theorems. Partial Derivatives; Differentiability; Taylor's Expansion of Functions of Several Variables. Maxima and Minima. Improper Integrals. Differentiation under Integral Sign (Leibnitz rule).Multiple Integrals and their Properties. Applications of Multiple Integrals. System of Linear Equations. Vector Spaces; Basis and Dimension of a Vector Space. Rank of a Matrix and its Properties. Linear Transformation. Eigenvalues and Eigen vectors. Diagonalization . First Order Differential Equations. Higher Order Differential Equations with Constant Coefficients. Cauchy-Euler Equations.

What will i learn?

  • Enhanced Problem-Solving Abilities
  • Precision in Engineering Design
  • Effective Analysis and Simulation
  • Improved Decision-Making
  • Ability to Innovate and Develop New Technologies
  • Critical Thinking and Analytical Skills

Requirements

  • Strong Foundation in Basic Mathematics

Frequently asked question

Key topics include calculus, differential equations, linear algebra, complex analysis, probability and statistics, numerical methods, and discrete mathematics.

Differential equations describe how quantities change over time and are fundamental in modeling the behavior of physical systems, such as electrical circuits, mechanical systems, and fluid dynamics.

Rahul Pandit

Name: Rahul Pandit Senior Software Developer | Full-Stack Expert | Tech Innovator

With over a decade of experience in software development, I specialize in creating robust, scalable solutions that drive business success. My expertise spans full-stack development, including front-end technologies like React and Angular, back-end frameworks such as Node.js and Django, and cloud platforms including AWS and Azure.I am passionate about leveraging technology to solve complex problems and deliver high-quality software. My career has been marked by a commitment to continuous learning and adapting to the latest industry trends. Whether working on web applications, mobile platforms, or enterprise-level systems, I strive for excellence and innovation in every project.Notable Achievements:Led a team to develop a high-traffic e-commerce platform that achieved a 40% increase in user engagement and a 25% boost in sales.Architected a scalable microservices-based system for a fintech startup, resulting in a 50% reduction in operational costs.Contributed to open-source projects and published several technical articles on software best practices and emerging technologies.Philosophy:I believe in the power of collaboration and iterative development. By working closely with stakeholders, embracing agile methodologies, and fostering a culture of continuous improvement, I aim to build software that not only meets but exceeds expectations.Interests:Outside of coding, I enjoy exploring the intersection of technology and art, contributing to community tech meetups, and staying active through hiking and cycling. I’m also an advocate for tech education and mentor aspiring developers.Contact:Email: info@leannify.com

₹2199

₹3000

Lectures

0

Skill level

Intermediate

Expiry period

6 Months

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