Hello,

The course for first year is same for all branches at IK Gujral PTU. You have to study calculus in Mathematics 1.

Unit-I: Calculus (10 hours)

Rolle’s theorem, Mean value theorems, Taylor’s and Maclaurin theorems with remainders;

Indeterminate forms and L' Hôpital's rule; Maxima and minima; Evaluation of definite and Improper integrals; Applications of definite integrals to evaluate surface areas and volumes of revolutions.

Unit-II: Multivariable Calculus (15 hours)

Limit, continuity and partial derivatives, Total derivative; Tangent plane and normal line; Maxima, minima and saddle points; Method of Lagrange multipliers; Multiple Integration: double and triple integrals (Cartesian and polar), change of order of integration in double integrals, Change of variables (Cartesian to polar), Applications: areas and volumes by (double integration), Center of mass and Gravity (constant and variable densities).

Hope it helps.