Assam University BSC Mathematics Syllabus for 4th Sem (pass)

click here to download Assam University BSC Mathematics Syllabus for 4th Sem (pass) for pass course student

FOURTH SEMESTER 

MTMP-401 

DIFFERENTL4L EQUATIONS & VECTORS 

Full Marks: 50 

Pass Marks 17 

GROUP-A 

DIFFERENTIAL EQUATIONS 

(Marks —30)

Unit—I 

Marks-10 

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

Unit—II 

Marks-10

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

Unit —III 

Marks-10

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-10 

Vector equations: Vector equations of lines, planes and spheres
Vector functions: Differentiation of vector point functions, properties and applications.

Unit-V 

Marks-10 

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