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# Engineering Mathematics II pdf for Pokhara University

MTH 121.3 Engineering Mathematics II (3 – 2 – 0)

Evaluation:

Theory Practical Total
Sessional 50 - 50
Final 50 - 50
Total 100 - 100

Course Objective:

The main objective of this course is to provide the basic knowledge of three-dimensional geometry, Calculus of several variables, differential equations, Laplace transform. After the completion of this course, students can use their knowledge in their professional courses.

Three Dimensional geometry :

i. Review of direction cosines, direction ratios, Planes
ii. Straight lines
iii. Sphere and its tangent plane
iv. Cone and cylinder( definitions, standard equation only)

Partial derivatives and Extreme values for the function of two or more variables:

i. Definitions, total derivatives, Chain rule, Euler's theorem for the function of two or three variables, its application
ii. Extreme values for two or more variables

Laplace transformation:

i. Definition
ii. Derivation of formulae
iii. Application of laplace transform,
iv. Inverse Laplace transform
v. Convolution theorem on Laplace transform and application

Differential equation:

i. Order and degree of differential equation
ii. First order differential equation with their solutions (separable, reducible to separable
from exactness condition), linear and Bernoulies equation)
iii. Second order differential equation (Homogeneous and non-homogeneous) with constant-coefficient as well as variable coefficients.
iv. Initial value problem.
v. Power Series solution
vi. Legendre's and Bessel equation with their solution, properties and application

Double Integral:

i. Definitions, Fubini's theorems (statement only)
ii. Change of order,
iii. Change Cartesian integral to equivalent polar integral
iv. Area and volume by double integral

Text Books:

1. Engineering Mathematics II: Prof. D.D Sharma (Regmi), Toya Narayan Paudel, Hari Prasad Adhikari,
Sukunda publication, Bhotahity, Kathmandu.
2. Advance Engineering Mathematics: Erwin Kreyszig.
Reference Books:
1. Calculus with analytical geometry: E.W. Swokoswski.
2. Algebra: G.D Pant
3. Three Dimensional Geometry: Y.R Sthapit, B.C Bajracharya
4. Calculus and analytical geometry: George B Thomas, Ross L. Finney