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KAS 103T ENGINEERING MATHMATICS I
3L:1T:0P 4 Credits
COURSE OBJECTIVE: The objective of this course is to familiarize the graduate engineers with techniques in calculus, multivariate analysis, vector calculus and linear algebra. It aims to equip the students with standard concepts and tools from intermediate to advanced level that will enable them to tackle more advanced level of mathematics and applications that they would find useful in their disciplines. The students will learn: To apply the knowledge of differential calculus in the field of engineering. To deal with functions of several variables that is essential in optimizing the results of real life problems. Multiple integral tools to deal with engineering problems involving centre of gravity, volume etc. To deal with vector calculus that is required in different branches of Engineering to graduate engineers. The essential tools of matrices and linear algebra, Eigen values and diagonalization in a Comprehensive manner are required.
Unit I Matrices: Types of Matrices: Symmetric, Skew-symmetric and Orthogonal Matrices; Complex Matrices, Inverse and Rank of matrix using elementary transformations, Rank-Nullity theorem; System of linear equations, Characteristic equation, Cayley-Hamilton Theorem and its application, Eigen values and eigenvectors; Diagonalisation of a Matrix 8
Unit II Differential Calculus- I: Introduction to limits, continuity and differentiability, Rolle’s Theorem, Lagrange’s Mean value theorem and Cauchy mean value theorem, Successive Differentiation (nth order derivatives), Leibnitz theorem and its application, Envelope of family of one and two parameter, Curve tracing: Cartesian and Polar co-ordinates
Unit III Differential Calculus-II: Partial derivatives, Total derivative, Euler’s Theorem for homogeneous functions, Taylor and Maclaurin’s theorems for a function of two variables, Maxima and Minima of functions of several variables, Lagrange Method of Multipliers, Jacobians, Approximation of errors
Unit IV Multivariable Calculus-I: Multiple integration: Double integral, Triple integral, Change of order of integration, Change of variables, Application: Areas and volumes, Center of mass and center of gravity (Constant and variable densities)
Unit V Vector Calculus: Vector identities (without proof), Vector differentiation:
Gradient, Curl and Divergence and their Physical interpretation, Directional
derivatives.
Vector Integration: Line integral, Surface integral, Volume integral, Gauss’s
Divergence theorem, Green’s theorem and Stoke’s theorem (without proof)
and their applications
Category: Dr Richa Agarwal
NAS LAB (KEC-353)
At the end of this course students will
demonstrate the ability to:
1. Understand basics of electrical circuits with nodal and
mesh analysis.
2. Appreciate electrical network theorems.
3. Analyse RLC circuits.
4. Determine the stability of an electrical circuit.
5. Design network filters.
Category: Mr. Mohit Tyagi
Scope: The course deals with different basic pharmaceutical formulation aspects.
Objectives: Upon the completion of the course student shall be able to
1. Understand colloids, rheology, micromeritics and drug stability.
2. Know the principles of formulation preparations.
3. Demonstrate the method of preparation and evaluation of dosage forms.
Category: MRS KIRAN SHARMA
Scope: The course deals with the various physica and physicochemical properties, and principles involved in dosage forms/formulations. Theory and practical components of the subject help the student to get a better insight into various areas of formulation research and development, and stability studies of pharmaceutical dosage forms.
Objectives: Upon the completion of the course student shall be able to
1. Understand various physicochemical properties of drug molecules in the designing the dosage forms.
2. Know the principles of chemical kinetics & to use them for stability testing and determination of expiry date of formulations.
3. Demonstrate use of physicochemical properties in the formulation.
development and evaluation of dosage forms.
Category: MRS KIRAN SHARMA
COURSEOBJECTIVES
CO 1 Describe primary features, processes and principles of management. K1, K2
CO 2 Explain functions of management in terms of planning, decision making and organizing. K3, K4
CO 3 Illustrate key factors of leadership skill in directing and controlling business resources and processes. K5, K6
CO 4 Exhibit adequate verbal and non-verbal communication skills K1, K3
CO 5 Demonstrate effective discussion, presentation and writing skills. K3, K5
Category: Dr. Babita Tyagi
An Aptitude typically provides an overview of an individual's natural talents, skills, and abilities. Here’s a general outline of what aptitude might include:
Overview of Strengths:
- Problem-Solving Skills: Ability to analyze situations, identify issues, and develop effective solutions.
- Analytical Thinking: Capacity for understanding complex systems and concepts, and breaking them down into manageable parts.
- Technical Skills: Proficiency in specific tools, technologies, or methodologies relevant to a particular field.
- Creative Abilities: Talent for thinking outside the box, generating innovative ideas, and applying creative solutions to real life challenges.
Core Competencies:
- Numerical Aptitude: Strength in handling mathematical calculations, data analysis, and quantitative reasoning.
- Verbal Aptitude: Skill in understanding, interpreting, and conveying information through language, both written and spoken.
- Spatial Reasoning: Ability to understand and manipulate shapes, patterns, and spatial relationships.
Interpersonal Skills:
- Communication: Proficiency in articulating ideas clearly and effectively to diverse audiences.
- Teamwork: Ability to collaborate well with others, demonstrating leadership and supportive skills as needed.
- Emotional Intelligence: Capacity for understanding and managing one’s own emotions and those of others, enhancing interactions and decision-making.
Learning and Adaptability:
- Quick Learner: Ability to grasp new concepts and skills rapidly and effectively.
- Flexibility: Capacity to adapt to changing circumstances and work environments with ease.
Career-Related Aptitudes:
- Industry-Specific Skills: Expertise in areas relevant to a particular career or profession, such as software development, marketing strategies, or engineering principles.
Potential Areas for Growth:
- Skill Development: Areas where further training or practice could enhance capabilities.
- Experience Gaps: Aspects of the field where gaining more experience could be beneficial.
Aptitude can help you to guide in career decisions, educational pursuits, and personal development strategies.
Time management is a crucial component of aptitude that involves the ability to plan, prioritize, and execute tasks efficiently within a given timeframe. In the context of aptitude, time management play a very important role.
Effective time management enhances productivity, reduces stress, and improves overall performance by ensuring that tasks are completed efficiently and deadlines are met. It’s a vital skill in both personal and professional settings, and honing it can lead to significant improvements in achieving goals and maintaining balance.
Category: Manish Gupta
For campus placement, especially in competitive fields or companies, the aptitude requirements can be quite specific and rigorous. Here’s a breakdown of what you might need to focus on:
1. Technical Skills
- Domain Knowledge: Understanding of the specific field or industry you're applying to, whether it's engineering, finance, IT, etc.
- Coding and Programming: For tech-related roles, proficiency in programming languages and problem-solving skills are essential.
- Software Proficiency: Familiarity with relevant tools and software can be crucial depending on the job.
2. Aptitude Tests
- Quantitative Ability: Strong skills in mathematics, including algebra, calculus, statistics, and data interpretation.
- Logical Reasoning: Ability to solve puzzles, logical problems, and pattern recognition tasks.
- Verbal Ability: Proficiency in reading comprehension, grammar, and vocabulary.
3. Soft Skills
- Communication Skills: Both verbal and written communication are key, as they reflect your ability to articulate ideas and work effectively in teams.
- Problem-Solving Ability: Demonstrating critical thinking and problem-solving skills through practical examples or case studies.
- Teamwork and Leadership: Experiences and traits that showcase your ability to work well in teams and potentially lead projects or initiatives.
4. General Knowledge and Awareness
- Current Affairs: Awareness of current events, industry trends, and general knowledge that might be relevant to the role or company.
- Company Knowledge: Understanding the company’s history, products, services, and market position.
5. Interview Preparation
- Technical Interviews: Expect to solve problems, answer technical questions, and sometimes complete coding challenges or case studies.
- Behavioral Interviews: Be prepared to discuss past experiences, challenges, and accomplishments, and demonstrate how you fit with the company culture.
6. Additional Skills
- Project Management: Understanding of basic project management principles and tools might be necessary, especially for managerial roles.
- Presentation Skills: Ability to present ideas clearly and effectively, often demonstrated through presentations or group discussions.
Preparation Tips:
- Mock Tests: Take practice tests to get familiar with the types of questions asked and the format of the aptitude tests.
- Study Material: Use books, online courses, and other resources to strengthen your quantitative, logical, and verbal skills.
- Resume Building: Ensure your resume highlights relevant skills, experiences, and achievements that align with the job requirements.
Category: Manish Gupta
- Teacher: MS SHIKHA TYAGI [CE]
Category: Third Year courses
Upon the completion of the course, the student will be able to:
CO 1 Apply the use of sensors for measurement of displacement, force and pressure
CO2 Employ commonly used sensors in industry for measurement of temperature, position, accelerometer, vibration sensor, flow and level.
CO3 Demonstrate the use of virtual instrumentation in automation industries.
CO4 Identify and use data acquisition methods.
CO5 Comprehend intelligent instrumentation in industrial automation.
Category: D Blandina Miracle
Upon the completion of the course, the student will be able to:
Apply the use of sensors for measurement of displacement, force and pressure.
Employ commonly used sensors in industry for measurement of temperature, position, accelerometer, vibration sensor, flow and level.
Demonstrate the use of virtual instrumentation in automation industries.
Identify and use data acquisition methods.
Comprehend intelligent instrumentation in industrial automation. K2
Category: D Blandina Miracle
1. Understand the concepts and techniques of mobile radio communication fundamentals like reflection, diffraction, scattering, fading and cellular concept with frequency reuse .
2. Study various types of vocoders, Intersymbol interference and various Diversity techniques in Mobile communication.
3. Understand Equalization techniques and various Multiple access techniques
4. Design GSM and CDMA and its components in mobile and wireless communication.
5. Design a 3G and 4G wireless communication system to meet desired needs within realistic constraints.
Category: Mr. Mohit Tyagi
Ø Understand the concepts and techniques of mobile radio communication fundamentals like reflection, diffraction, scattering, fading and cellular concept with frequency reuse.
Ø Study various types of vocoders, Intersymbol interference and various Diversity techniques in Mobile communication.
Ø Understand Equalization techniques and various Multiple access techniques.
Ø Design GSM and CDMA and its components in mobile and wireless communication.
Ø Design a 3G and 4G wireless communication system to meet desired needs within realistic constraints.
Category: Dr. Vibhav Sachan