ANALYTIC GEOMETRY AND APPLICATIONS OF DERIVATIVES (2023-26 BATCH)

3B03 MAT- ANALYTIC GEOMETRY AND APPLICATIONS OF DERIVATIVES

 CO1: Understand cartesian equation of conics, eccentricity, polar equations for a conic, lines, circles 

 CO2: Understand tangents, normals and asymptotes

 CO3: Understand curvature, radius of curvature, centre of curvature, circle of curvature and evolutes of cartesian and polar curves

 CO4: Understand Rolle’s Theorem, Lagrange’s Mean Value Theorem, Cauchy’s Mean Value Theorem and Taylors Theorem 

 CO5: Understand extreme values of functions, monotonic functions, first derivative test, concavity and curve sketching

 CO6: Understand indeterminate forms

MATHEMATICS FOR PHYSICS -III (2023-26 BATCH)

3C03 MAT-PH MATHEMATICS FOR PHYSICS III

Course Outcomes:

 CO1: Understand the concept of multiple integrals and solves problems 

 CO2: Understand vector differentiation 

 CO3: Understand Laplace transforms and its applications 

 CO4: Understand Fourier Series and half range expansions

MATHEMATICS FOR CHEMISTRY-III (2023-26 BATCH)

3C03 MAT-CH-MATHEMATICS FOR CHEMISTRY

Course Outcomes:

 CO1: Understand ordinary differential equations, geometrical meaning of y’=f (x, y) and direction fields. 

 CO2:  Understand methods of solving differential equations: separable ODEs, exact ODEs, integrating factors, linear ODEs and Bernoulli Equation. 

 CO3: Understand orthogonal trajectories, existence and uniqueness of solutions. 

 CO4:  Understand second order ODEs, homogeneous linear ODEs of second order, homogeneous linear ODEs with constant coefficients, differential operators, Euler-Cauchy equation, existence and uniqueness of solutions – Wronskian, nonhomogeneous ODEs and solution by variation of parameters 

 CO5:  Understand Laplace transform, linearity, first shifting theorem, transforms of derivatives and integrals, ODEs, unit step function, second shifting theorem, convolution, integral equations, differentiation and integration of transforms and to solve special linear ODE’s with variable coefficients and systems of ODEs 

 CO6: Understand Fourier series, arbitrary period, even and odd functions, half-range expansions.