Skip to content
NCIT
  • Home
  • Notes ▾
    • Aerospace Engineering ▸
      • 1 ▸
        • Engineering Mathematics I
        • Engineering Physics
        • Computer Programming
        • Fundamental of Electrical and Electronics Engineering
        • Engineering Drawing
        • Engineering Mechanics I
      • 2 ▸
        • Engineering Mathematics II
        • Engineering Chemistry
        • Engineering Thermodynamics I
        • Machine Drawing
        • Engineering Mechanics II
        • Workshop Technology
      • 3 ▸
        • Engineering Mathematics III
        • Material Science
        • Strength of Materials
        • Applied Thermodynamics and Heat Transfer
        • Fundamentals of Aerospace Engineering
        • Introduction to CubeSats
        • Composite Materials
      • 4 ▸
        • Probability and Statistics
        • Electrical Machines
        • Computer Aided Design
        • Fluid Mechanics with Engineering Applications
        • Theory of Machine
        • Monitoring and Instrumentation
        • Aircraft Manufacturing Process
      • 5 ▸
        • Control System and Automation
        • Machine Design
        • Numerical Methods
        • Avionics
        • Continuum Mechanics
        • Aircraft Propulsion
        • Aerodynamics
      • 6 ▸
        • Professional Engineering Economics
        • Aviation Maintenance Engineering
        • Aircraft Systems
        • Flight Dynamics
        • Unmanned Aerial Systems
        • Finite Element Analysis
        • Elective I
      • 7 ▸
        • Aircraft Preliminary Design
        • Computational Fluid Dynamics
        • Aircraft Structures
        • Human Factors in Aviation
        • Aviation Professional Practice
        • Elective II
        • Project I
      • 8 ▸
        • Industrial Attachment
        • Project II
        • Elective III
    • Civil Engineering ▸
      • 1 ▸
        • CALCULUS - I
        • APPLIED CHEMISTRY
        • APPLIED PHYSICS
        • TECHNICAL COMMUNICATION
        • C-PROGRAMMING
        • ENGINEERING DRAWING
        • PAPERS
        • SEM 1 MATERIALS
      • 2 ▸
        • ALGEBRA & GEOMETRY
        • APPLIED MECHANICS
        • CIVIL ENGINEERING MATERIALS
        • ENGINEERING GEOLOGY
        • BASIC ELECTRICAL & ELECTRONICS
        • ENERGY ENGINEERING
        • CIVIL ENGINEERING WORKSHOP
        • PAPERS SEM 2
        • SEM 2 MATERIALS
      • 3 ▸
        • CALCULUS - II
        • NUMERICAL METHODS
        • FLUID MECHANICS
        • STRENGTH OF MATERIALS
        • SURVEYING I
        • BUILDING TECHNOLOGY
        • PAPERS
        • SEM 3 MATERIALS
      • 4 ▸
        • SOIL MECHANICS
        • SURVEYING II
        • ENGINEERING ECONOMICS
        • PROBABILITY & STATISTICS
        • HYDRAULICS
        • STRUCTURAL ANALYSIS I
        • PAPERS
        • SEM 4 MATERIALS
      • 5 ▸
        • ENGINEERING HYDROLOGY
        • STRUCTURAL ANALYSIS II
        • FOUNDATION ENGINEERING
        • WATER SUPPLY ENGINEERING
        • ESTIMATING & VALUATION
        • TRANSPORTATION ENGINEERING I
        • PAPERS
        • SEM 5 MATERIALS
      • 6 ▸
        • TRANSPORTATION ENGINEERING II
        • SANITARY ENGINEERING
        • CONCRETE TECHNOLOGY & MASONRY
        • IRRIGATION & DRAINAGE ENGINEERING
        • DESIGN OF STEEL & TIMBER STRUCTURE
        • SURVEY FIELD PROJECT
        • CIVIL ENGINEERING PROJECT I
        • PAPERS
        • SEM 6 MATERIALS
      • 7 ▸
        • DESIGN OF R.C.C
        • ENGINEERING PROFESSIONAL PRACTICE
        • HYDROPOWER ENGINEERING
        • CONSTRUCTION PROJECT MANAGEMENT
        • ELECTIVE II
        • CIVIL ENGINEERING PROJECT II
        • PAPERS
        • SEM 7 MATERIALS
      • 8 ▸
        • PROJECT III
        • DESIGN OF BRIDGE
        • AIRPORT ENGINEERING
        • STRUCTURAL DYNAMICS
        • ENVIRONMENTAL IMPACT ASSESSMENT
        • DESIGN OF EARTHQUAKE RESISTANCE STRUCTURE
        • RESEARCH
        • PAPERS
        • THESIS
  • Books ▾
    • Aerospace Engineering ▸
      • 1 ▸
        • Engineering Mathematics I
        • Engineering Physics
        • Computer Programming
        • Fundamental of Electrical and Electronics Engineering
        • Engineering Drawing
        • Engineering Mechanics I
      • 2 ▸
        • Engineering Mathematics II
        • Engineering Chemistry
        • Engineering Thermodynamics I
        • Machine Drawing
        • Engineering Mechanics II
        • Workshop Technology
      • 3 ▸
        • Engineering Mathematics III
        • Material Science
        • Strength of Materials
        • Applied Thermodynamics and Heat Transfer
        • Fundamentals of Aerospace Engineering
        • Introduction to CubeSats
        • Composite Materials
      • 4 ▸
        • Probability and Statistics
        • Electrical Machines
        • Computer Aided Design
        • Fluid Mechanics with Engineering Applications
        • Theory of Machine
        • Monitoring and Instrumentation
        • Aircraft Manufacturing Process
      • 5 ▸
        • Control System and Automation
        • Machine Design
        • Numerical Methods
        • Avionics
        • Continuum Mechanics
        • Aircraft Propulsion
        • Aerodynamics
      • 6 ▸
        • Professional Engineering Economics
        • Aviation Maintenance Engineering
        • Aircraft Systems
        • Flight Dynamics
        • Unmanned Aerial Systems
        • Finite Element Analysis
        • Elective I
      • 7 ▸
        • Aircraft Preliminary Design
        • Computational Fluid Dynamics
        • Aircraft Structures
        • Human Factors in Aviation
        • Aviation Professional Practice
        • Elective II
        • Project I
      • 8 ▸
        • Industrial Attachment
        • Project II
        • Elective III
    • Civil Engineering ▸
      • 1 ▸
        • CALCULUS - I
        • APPLIED CHEMISTRY
        • APPLIED PHYSICS
        • TECHNICAL COMMUNICATION
        • C-PROGRAMMING
        • ENGINEERING DRAWING
      • 2 ▸
        • ALGEBRA & GEOMETRY
        • APPLIED MECHANICS
        • CIVIL ENGINEERING MATERIALS
        • ENGINEERING GEOLOGY
        • BASIC ELECTRICAL & ELECTRONICS
        • ENERGY ENGINEERING
        • CIVIL ENGINEERING WORKSHOP
      • 3 ▸
        • CALCULUS - II
        • NUMERICAL METHODS
        • FLUID MECHANICS
        • STRENGTH OF MATERIALS
        • SURVEYING I
        • BUILDING TECHNOLOGY
      • 4 ▸
        • SOIL MECHANICS
        • SURVEYING II
        • ENGINEERING ECONOMICS
        • PROBABILITY & STATISTICS
        • HYDRAULICS
        • STRUCTURAL ANALYSIS I
      • 5 ▸
        • ENGINEERING HYDROLOGY
        • STRUCTURAL ANALYSIS II
        • FOUNDATION ENGINEERING
        • WATER SUPPLY ENGINEERING
        • ESTIMATING & VALUATION
        • TRANSPORTATION ENGINEERING I
      • 6 ▸
        • TRANSPORTATION ENGINEERING II
        • SANITARY ENGINEERING
        • CONCRETE TECHNOLOGY & MASONRY
        • IRRIGATION & DRAINAGE ENGINEERING
        • DESIGN OF STEEL & TIMBER STRUCTURE
        • SURVEY FIELD PROJECT
        • CIVIL ENGINEERING PROJECT I
      • 7 ▸
        • DESIGN OF R.C.C
        • ENGINEERING PROFESSIONAL PRACTICE
        • HYDROPOWER ENGINEERING
        • CONSTRUCTION PROJECT MANAGEMENT
        • ELECTIVE II
        • CIVIL ENGINEERING PROJECT II
      • 8 ▸
        • PROJECT III
        • DESIGN OF BRIDGE
        • AIRPORT ENGINEERING
        • STRUCTURAL DYNAMICS
        • ENVIRONMENTAL IMPACT ASSESSMENT
        • DESIGN OF EARTHQUAKE RESISTANCE STRUCTURE
  • Upload
  • Login
  • Register

Engineering Mathematics-i Notes

Engineering Mathematics I Lectures Video for IOE Aerospace Engineering Semester 1 – YouTube Classes, ENSH 101 and Study Guide
Engineering Mathematics-i Notes

Engineering Mathematics I Lectures Video for IOE Aerospace Engineering Semester 1 – YouTube Classes, ENSH 101 and Study Guide

Engineering Math I ( Complete Courses Playlist) Real Analysis | Mean Value Theorem | Lagrange's Mean Value Theorem – Proof & Examples Leibnitz's Theorem [Q4] If Y = log(X +root(a^2+x^2) …

Engineering Mathematics I for Aerospace Engineering: IOE Semester 1 Old Question Collection
Engineering Mathematics-i Notes

Engineering Mathematics I for Aerospace Engineering: IOE Semester 1 Old Question Collection-2

 Transitioning into first-semester BE Aerospace Engineering under Tribhuvan University (IOE) requires a smart study routine. While learning theoretical concepts in lectures is crucial, understanding how those concepts are tested in …

Engineering Mathematics I for Aerospace Engineering: IOE Semester 1 Old Question Collection
Engineering Mathematics-i Notes

Engineering Mathematics I for Aerospace Engineering: IOE Semester 1 Old Question Collection

 Preparing for your first-semester board exams at IOE Pulchowk Campus can feel overwhelming, but working through past exam papers is one of the most effective ways to build confidence. Engineering …

Engineering Mathematics I for Aerospace Engineering: IOE Semester 1 Formulas and Solutions
Engineering Mathematics-i Notes

Engineering Mathematics I for Aerospace Engineering: IOE Semester 1 Formulas and Solutions

 Engineering Mathematics I is an important part of the transition from school-level mathematics to university engineering studies. For students beginning BE Aerospace Engineering at the Institute of Engineering (IOE), Pulchowk …

IOE Engineering Mathematics I Notes PDF Download – ENSH 101 Solved Solution
Engineering Mathematics-i Notes

IOE Engineering Mathematics I Notes PDF Download – ENSH 101 Solved Solution

 Looking for IOE Engineering Mathematics I notes PDF for Semester 1? Preparing for your first engineering mathematics examination and need handwritten notes, important formulas, and step-by-step solutions? For BE Aerospace …

Engineering Mathematics I Notes PDF for IOE Aerospace Engineering Semester 1 – Past Question Answer
Engineering Mathematics-i Notes

Engineering Mathematics I Notes PDF for IOE Aerospace Engineering Semester 1 – Past Question Answer

 Are you searching for Engineering Mathematics I handwritten notes PDF for IOE Aerospace Engineering Semester 1? If you are studying at Pulchowk Campus or another Institute of Engineering (IOE) campus …

Engineering Mathematics I Notes, Manual & Solution for IOE Pulchowk Aerospace Engineering (Semester 1)
Engineering Mathematics-i Notes

Engineering Mathematics I Manual for IOE Pulchowk Aerospace Engineering (Semester 1)

 Starting your first semester in BE Aerospace Engineering at IOE Pulchowk Campus is an exciting milestone. However, searching for reliable study materials can often feel overwhelming. Many students lose valuable …

Engineering Mathematics I Handwritten Notes, Manual and Solution for IOE Pulchowk Campus Aerospace Engineering Semester 1
Engineering Mathematics-i Notes

Engineering Mathematics I Handwritten Notes, for IOE Pulchowk Campus Aerospace Engineering Semester 1

Starting your journey as a first-year engineering student brings plenty of excitement, but it also comes with a unique set of academic hurdles. If you are enrolled in BE Aerospace …

ENGINEERING MATHEMATICS I

ENSH 101

Lecture : 3 Year : I

Tutorial : 2 Part : I

Practical : 0

Course Objectives:

To equip the students with the essential mathematical skills and techniques that are relevant to the engineering fields and enable them to solve engineering problems using mathematical methods.

1. Derivatives and its Applications (10 hours)

1.1 Review of derivative and differentiability, mean value theorems with interpretations

1.2 Indeterminate forms, types and their real life examples, L-Hospital’s rule

1.3 Power series of single valued functions

1.3.1 Taylor’s series

1.3.2 Maclaurin’s series

1.4 Asymptotes to Cartesian and Polar curves

1.5 Pedal equation to Cartesian and Polar curves

1.6 Curvature and radius of curvature for Cartesian curves

2. Antiderivatives and its Applications (11 hours)

2.1 Review of definite and indefinite integrals

2.2 Differentiation under integral sign

2.3 Improper integrals

2.4 Application of Beta and Gamma functions

2.5 Area, arc length, volume and surface of revolution in plane for Cartesian curves

2.6 Centroid and moment of inertia under area of curve

3. Ordinary Differential Equations and its Applications (10 hours)

3.1 Review of order, degree, solution of first order first degree differential equations by variable separation method and solution of homogeneous equations

3.2 Linear differential equation and equations reducible to linear differential equation of first order Bernoulli’s equation, modeling electric circuit

3.3 First order and higher degree differential equations; Clairaut’s form

3.4 Linear second order differential equations with constant coefficient and variable coefficients reducible to constant coefficients, Cauchy’s equations and modeling mass spring system

3.5 Application in physical sciences and engineering

4. Plane Analytic Geometry (4 hours)

4.1 Transformation of coordinates: Translation and rotation

4.2 Equation of conic in Cartesian and Polar form, identification of conics

5. Three dimensional geometry (10 hours)

5.1 The straight line: Symmetrical and general form

5.2 Coplanar lines

5.3 Shortest distance

5.4 Sphere: General equation, plane section by planes, tangent planes

5.5 Introduction to right circular cone and right circular cylinder

Tutorials (30 hours)

1. Derivatives and its applications

2. Antiderivatives and its applications

3. Ordinary differential equations and its applications

4. Plane analytic geometry

5. Three dimensional geometry

Reference

1. Jeffery, A., (2001), Advanced Engineering Mathematics. Academic Press.

2. O’Neill, P.V., (2003), Advanced Engineering Mathematics. Thomson Learning.

3. Kreyszig , A. (1993), Advanced engineering Mathematics (Latest Edition). John Wiley & Sons.

4. Sastry, S.S. (2008), Engineering Mathematics Volume I and II. PHI India.

5. Wylie, C., Barrett, L.(1995), Advanced Engineering Mathematics (Latest Edition), McGraw-Hill College.

6. Thomas, T., Finny, R. (1984), Calculus and Analytic Geometry (Latest Edition.), Addison-Wesley.

Welcome to the ultimate resource hub for Engineering Mathematics I notes, tailored specifically for students under the Institute of Engineering (IOE), Tribhuvan University, including Pulchowk Campus. Engineering Mathematics I (ENSH 101) forms the crucial bedrock of any engineering discipline, equipping future innovators with the rigorous analytical tools, calculus foundations, and spatial reasoning required to model and solve complex real-world technical problems.

Preparing for your university board exams and regular assessments requires precise, reliable study materials. Our platform brings you meticulously curated ioe notes and engineering notes designed by academic experts and top-ranking alumni. These high-quality Engineering Mathematics I notes feature clear derivations, step-by-step tutorial problem solutions, and exam-focused explanations to help you secure top grades with confidence.

Explore the official syllabus topics covered under ENSH 101: Engineering Mathematics I above:

© 2026 Design by - Kishor K.C.
  • Home
  • Notes
  • Books
  • Upload