Nutrition and Digestive System

Nutrition and Digestive System : Basic constituents of food and their nutritional significance. Vitamins – dietary sources, functions and deficiency symptoms of water and fat soluble vitamins. Structure and functions of the alimentary canal and the digestive glands. Functions of the digestive juices (saliva, gastric juice, pancreatic juice, intestinal juice), Biles.

Digestion and absorption of carbohydrates, lipids and proteins. Diseases – Peptic and Gastric ulcers, Gastritis; fasting and obesity.

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Differential Equations

Differential Equations : Formulation and solution of differential equations of the forms.
1) dy / dx = ƒ(x).g(y)
2) dy / dx = ƒ(y/x)
3) dy / dx = (ax+by) / (cx+dy)

Integral calculus

Integral calculus : Integration as a reverse process of differentiation, indefinite integral of standard functions.
Integration by parts. Integration by substitution and partial fraction.

Differential calculus

Differential calculus : Functions, composition of two functions and inverse of a function, limit, continuity, derivative, chain rule, derivatives of implicit functions and of functions defined parametrically. Rolle’s Theorem and Lagrange’s Mean Value theorem (statement only).

Co-ordinate Geometry: Circle

Circle : Equation of a circle with a given center and radius. Condition that a general equation of second degree in x, y may represent a circle. Equation of a circle in terms of endpoints of a diameter . Parametric equation of a circle. Intersection of a line with a circle.

Co-ordinate Geometry: Conics

Conics : Definition, Directrix, Focus and Eccentricity, classification based on eccentricity.