Assam University BA Mathematics Syllabus 4th sem pass

FOURTH SEMESTER  MTMP-401  DIFFERENTL4L EQUATIONS & VECTORS  Full Marks : 50  Pass Marks 17  (To answer one question from eac...

FOURTH SEMESTER 

MTMP-401 

DIFFERENTL4L EQUATIONS & VECTORS 

Full Marks : 50 

Pass Marks 17 

(To answer one question from each unit. Each unit will have provision for internal choice.)

GROUP-A 

DIFFERENTIAL EQUATIONS 

(Marks —30) 

Unit—I 

Marks-lO
Solution of first order and first degree differential equations- Variable separable method, Homogeneous equations, Exact equations.

Unit—II

Marks-lO
Linear equations (including Bernoulli’s equation, and other simple cases reducible to linear equations), Orthogonal Trajectories.

Unit —III

Marks-lO
Higher order linear differential equations with constant coefficients, Homogeneous linear differential equations, Application of differential equations in simple cases.

GROUP-B 

VECTORS 

(Marks-20) 

Unit -IV 

Marks-lO
Vector equations - Vector equations of lines, planes and spheres
Vector functions — Differentiation of vector point functions, properties and applications.

Unit-V 

Marks-lO
Operation with del operator- Gradient, Divergence and Curl, their identities and applications in simple problems.