Mathematics I
Reminder: My slogan “When there is Gajendra Purohit , you Pura hit Mathematics “!!! wawa , What a bad word play ^_^ .
If you are Newbie then you should separate at least 7 days for this subject (before the exam) to secure good marks.
and exam gaps can be used for revision.

Derivatives and their Applications
 Introduction
 Higher order derivatives
 Mean value theorem
 Rolle’s theorem
 Lagrange’s mean value theorem
 Cauchy’s mean value theorem
 Power series of single valued function
 Taylor’s series
 Maclaurin’s series
 Indeterminate forms: L Hospital rule
 Asymptotes to Cartesian and polar curves
 Pedal equations to Cartesian and polar curves; curvature and radius of curvature

Integration and its application
 Introduction
 Definite integrals and their properties
 Improper integrals
 Differentiation under integral signs
 Reduction formula: Beta Gama functions
 Application of integrals for finding areas arc length, surface and solid of revolution in the plane for Cartesian and polar curves

Plane Analytic Geometry
 Transformation of coordinates: Translation and rotation
 Ellipse and hyperbola: Standard forms, tangent and normal
 General equation of conics in Cartesian and polar forms

Ordinary Differential equations and their applications
 First order and first degree differential equations
 Homogenous differential equations
 Linear differential equations
 Equation reducible to linear differential equations: Bernoulli’s equation
 First order and higher degree differential equation: Clairaut’s equation
 Second order and first degree linear differential equations with constant coefficients
 Second order and first degree linear differential equations with variable coefficients: Cauchy’s equation
 Applications in Engineering field
Chapters  Hours  Mark distribution 
1.  14  25 
2.  11  20 
3.  8  15 
4.  12  20 
Total  45  80 

Engineering Mathematics I S.P Chaudhary
Mathematics Solution Book
Website Credit: https://ioenotes.bikrampparajuli.com.np/2020/10/ioe1stsemesterbasicmathematicsnote.htmlHigher Order Derivative
Mean Value Theorems
Asympotes
Reduction Formula & Beta & Gamma Functions
First Order & First Degree Differential Equation
First Order but not First Degree Differential Equations
Second Order Linear Differential Equation with Constant Coefficient
General Equation of Conic Section
Website Credit : https://bctengineeringnotes.blogspot.com/p/1stsemester.html