Syllabus for Bridge Course in Advanced Mathematics –I (common to all branches)

Total number of hours of teaching : 40

Examination Marks : 100

Hours per week : 4

Subject code : MATDIP301

1.) Trigonometry - Complex Numbers:

Definitions, complex numbers as an ordered pair, real and imaginary parts, modulus and

amplitude of a complex number, equality of a complex number, addition, subtraction, multiplication &

division of complex numbers, polar form, Argand diagram, exponential form, expressing in the form a±ib

problems 6Hrs

2.) Differential Calculus:

Differentiation of nth order standard functions , Leibnitz theorem (statement only) with examples,

point curves, Taylor series, Maclaurin series of simple functions for single variable.

Partial differentiation:

Definition, Euler theorem, total differentiation , differentiation of composite and implicit

functions, Jacobian’s illustrative examples and problems. 14Hrs

3.) Integral Calculus:

Reduction formula for functions sinnx, cos

nx,sin

nx cos

nx. double integral , simple problems &

triple integral simple problems (with standard limits) β and γ functions, properties, relation between β and

γ Functions simple problems. 8Hrs

4.) Differential Equation:

Solution of first order first degree differential equations – variable separable methods

homogenous equation, Bernoulli’s and exact differential equations (without L F). Differential equations

of second and higher orders with constant co-efficient. 12Hrs

Text books:

1.) Higher Engineering Mathematics – B.S.Grewal

2.) Higher Engineering Mathematics – H.K Dass

Syllabus for Bridge Course in Advanced Mathematics –II (common to all branches)

Total number of hours of teaching : 40

Examination marks : 100

Hours per week : 4

Subject code : MATDIP401

1.) Solid Geometry:

Distance formula (without proof), division formula, direction cosines and direction ratios, planes

and straight lines, angles between the planes. 12Hrs

2.) Vectors - Vector Algebra: Vector addition, multiplication (dot and cross products) , triple products, vector differentiation

velocity, acceleration of a vector point function, gradient, curl and divergence, solenoid and irrotational

fields, simple and direct problems. 12Hrs

3.) Laplace Transforms:

Definitions, Laplace transforms of elementary functions, derivatives and integrals, Inverse

transforms, Applications Laplace transforms to differential equations. 16Hrs

Text Books:

1.) Higher Engineering Mathematics – B S Grewal.

2.) Higher Engineering Mathematics – H K Dass.