Engineering Mathematics Course Syllabus and Outcomes

Vocabulary flashcards outlining course outcomes, units, topics, and institutional details from the Engineering Mathematics syllabus.

Total Course Hours

The total duration specified for the course, which is $60\,\text{hr}$.

Course Outcome 1

Understand and compute partial derivatives of multivariable functions, evaluated at DOK levels L1 and L2.

R26BS01.2

The course outcome designated to apply partial differentiation to find maxima and minima, mapped to DOK levels L2 and L3.

R25BS01.3

The course outcome designated to understand and evaluate double and triple integrals, mapped to DOK levels L2 and L3.

R26BS01.4

The course outcome designated to use multiple integrals to calculate areas and volumes, mapped to DOK levels L3 and LA.

R26BS01.5

The course outcome designated to understand and expand periodic functions using Fourier series, mapped to DOK levels L2 and L3.

UNIT-I (Partial Differentiation)

A 12-hour syllabus unit covering functions of two or more variables, partial derivatives, homogeneous functions, Euler's theorem, total derivative, change of variables, and Jacobain, mapped to CO1.

Jacobain

A topic covered under UNIT-I within the study of partial differentiation and change of variables.

Euler's theorem

A mathematical theorem included in UNIT-I associated with homogeneous functions and partial derivatives.

UNIT-II (Applications of Partial Differentiation)

A 12-hour unit covering geometrical interpretation, tangent plane and normal to a surface, Taylor's theorem for functions of two variables, total differential, maxima and minima of functions of two variables, and Lagrange's method of undetermined multipliers, mapped to CO2.

Lagrange's method of undetermined multipliers

A method addressed under UNIT-II for determining the maxima and minima of functions of two variables.

UNIT-III (Multiple Integrals)

A 12-hour unit covering double integrals, change of order of integration, double integrals in polar coordinates, triple integrals, and change of variables, mapped to C03.

UNIT-IV (Multiple Integrals-Applications)

A 12-hour unit addressing area enclosed by plane curves, volumes of solids, area of a curved surface, Beta Function, Gamma Function, and the relation between Beta and Gamma.

Dr. Lankapalli Bullayya College of Engineering (Autonomous)

The institution issuing the Engineering Mathematics syllabus document.