Growth, Reproduction, and Ageing

Growth, Reproduction, and Ageing :
A. In Plants :
Different parts of a typical flower (China rose). Types of flower : regular and irregular, actinomorphic, zygomorphic.Aestivation in Musaceae & Malvaceae.Floral formula : Definition, symbols used in floral formulae in Musaceae (e.g. Banana) and Malvaceae (eg. China rose) ; Pollination – Definition, self and cross pollination; Merits and demerits of self and cross pollination. Fertilization – Process of double fertilization. Dispersal of fruits and seeds – Types with examples. Phases and factors of Growth, Differences between growth and development, Abscission senescence, ageing and growth of seeding and the role of gibberellic acid.

B. In Animals :
Primary and secondary sex organs and secondary sex characters – Testis – Histology, Functions of Testosterone.
Spermatogenesis (outline). Ovary – Histology : Functions of estrogen and progesterone; Oogenesis (outline);
structure of mature Graafian follicle.
Menstrual cycle (brief idea). Fertilization and Implantation.

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Probability

Probability : Classical definition, addition rule, conditional probability and Bayes’ theorem, independence, multiplication rule.

Sets, Relations and Mappings

Sets, Relations and Mappings : Idea of sets, subsets, power set, complement, union, intersection and difference of sets, Venn diagram, De Morgan’s Laws, Inclusion / Exclusion formula for two or three finite sets, Cartesian product of sets.

Matrices

Matrices : Concepts of m x n (m≤3, n≤3) real matrices, operations of addition, scalar multiplication and multiplication of matrices. Transpose of a matrix. Determinant of a square matrix. Properties of determinants (statement only). Minor, cofactor and adjoint of a matrix.

Infinite series

Infinite series : Binomial theorem for negative and fractional index. Infinite G.P. series, Exponential and Logarithmic series with range of validity (statement only), simple applications.

Binomial theorem

Binomial theorem (positive integral index) :Statement of the theorem, general term, middle term, equidistant terms, properties of binomial co-efficients.