Nervous and Muscular system

Nervous and Muscular system : Brief outline of human brain structure.

Cranial Nerves : Distribution and Function.Spinal cord – Structure and major functions, Reflex arc (types) and reflex action : Conditional and unconditional reflexes.

Autonomic : sympathetic and parasympathetic (definition only) nervous system.

Synapse : Structure and mechanism of synaptic transmission.

Different types of muscles and their structure, properties of muscles
(i) Excitability (ii) Contractility (iii) All or none law (iv) Refractory period (v) Summation of stimuli (vi) Tetanus (vii) Rigor mortis; Machanism of muscle contraction.

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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.