Syllabus Of Engineering Mathematics I | Subject code: SH 401 | BCT | IOE | + DOWNLOAD in PDF

Bachelor's Degree in Engineering | IOE "Syllabus of Engineering Mathematics I | Sub. Code: SH 401 | BCT

Engineering Mathematics I - Subject code: SH 401 | BCT | Syllabus. Engineering Mathematics I is compulsory course for all faculties Bachelor's Degree in Engineering BE including Bachelor Degree in Computer Engineering (BCT), Bachelor Degree in Civil Engineering (BCE), Bachelor Degree in Electronics and Communication (BEX), Bachelor Degree in Electrical Engineering (BEL), Bachelor Degree in Geomatics Engineering (BGE), Bachelor Degree in Mechanical Engineering (BME), Bachelor Degree in Architecture (B. Arch.), etc.

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Syllabus Of Bachelor's Degree Of Engineering (B.E.) :: IOE | TU

Download PDF File | Syllabus of Engineering Mathematics (BCT) | Subject Code: SH 401 | IOE

Engineering Mathematics I (SH 401)
First Year First Part (Year:I, Part:i)
Lecture: 3
Tutorial: 2
Practical: 0

Course Objective:
To provide students a sound knowledge of calculus and analytic geometry to apply them in their relevant fields.

1. Derivatives and their Applications [14 hours]

• 1.1 Introduction
• 1.2 Higher order derivatives
• 1.3 Mean value theorem
• 1.3.1 Rolle’s theorem
• 1.3.2 Lagrange’s mean value theorem
• 1.3.3 Cauchy’s mean value theorem
• 1.4 Power series of single valued function
• 1.4.1 Taylor’s series
• 1.4.2 Maclaurin’s series
• 1.5 Indeterminate forms: L Hospital rule
• 1.6 Asymptotes to Cartesian and polar curves
• 1.7 Pedal equations to Cartesian and polar curves; curvature and radius of curvature

2. Integration and its application [11 hours]

• 2.1 Introduction
• 2.2 Definite integrals and their properties
• 2.3 Improper integrals
• 2.4 Differentiation under integral signs
• 2.5 Reduction formula: Beta Gama functions
• 2.6 Application of integrals for finding areas arc length, surface and solid of revolution in the plane for Cartesian and polar curves

3. Plane Analytic Geometry [8 hours]

• 3.1 Transformation of coordinates: Translation and rotation
• 3.2 Ellipse and hyperbola: Standard forms, tangent and normal
• 3.3 General equation of conics in Cartesian and polar forms

4. Ordinary Differential equations and their applications [12 hours]

• 4.1 First order and first degree differential equations
• 4.2 Homogeneous differential equations
• 4.3 Linear differential equations
• 4.4 Equation reducible to linear differential equations: Bernoulli’s equation
• 4.5 First order and higher degree differential equation: Clairaut’s equation
• 4.6 Second order and first degree linear differential equations with constant coefficients
• 4.7 Second order and first degree linear differential equations with variable coefficients: Cauchy’s equation
• 4.8 Applications in Engineering field

Evaluation / Marking Scheme:

Chapter	Hours	Mark Distribution
1	14	25
2	11	20
3	8	15
4	12	20
Total	45	80

There may be minor deviation in marks distribution.

Reference books:

1. Erwin Kreyszig, Advance Engineering Mathematics , John Wiley and Sons Inc
2. Thomas,Finney,Calculus and Analytical geometry Addison- Wesley
3. M. B. Singh, B. C. Bajrachrya, Differential calculus, Sukunda Pustak Bhandar,Nepal
4. M. B. Singh, S. P. Shrestha, Applied Mathematics,
5. G.D. Pant, G. S. Shrestha, Integral Calculus and Differential Equations, Sunila Prakashan,Nepal
6. M. R. Joshi, Analytical Geometry, SukundaPustak Bhandar,Nepal
7. S. P. Shrestha, H. D. Chaudhary, P. R. Pokharel, A Textbook of Engineering Mathematics – Vol I
8. Santosh Man Maskey, Calculus, Ratna Pustak Bhandar, Nepal