Solve your IGNOU Doubts

Question:

Analysis of observations and conclusions related to matching and conservation

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Question:

Carrying out activities related to matching and conservation and recording observations

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Question:

Observing the child and recording the observations : Analysis of observations and conclusions

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Question:

Observing the child and the parents and recording the observations: Analysis of observations and conclusions :

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Question:

Write about each of the following in about 200 words each.

(a) Altruism and Empathy

(b) Points to keep in mind while evaluating indoor space of a child care centre

(d) Critical Periods in development Capabilities of a newborn

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Question:

Determine whether each of the following statement is true or false. Justify your answer with a short proof or a counter example.

i) If z = a +ib , where a and b are integers, then n $[1+Z+Z^{2}+......+Z^{n}]geq ]z]^{n}$ if a>0.

ii) If f (z) and $ar{f(z)}$ are analytic functions in a domain, then f is necessarily a constant.

iii) A real-valued function u(x, y) is harmonic in D iff u(x, − y) is harmonic in D .

iv) $lim_{n o infty }{(n!)}^{ frac{1}{n}}=infty$ .

v) The inequality $[e^{a}-e^{b}]leq ]a-b]$ holds for $[e^{a}-e^{b}]leq ]a-b] a, bepsilon D={w:Re leq 0left { ight }$

vi) If $f(z) sum_{n=0}^{infty }a_{n}(z-a)^{n}$ has the property that $sum_{n=0}^{infty } f^{(n)}(a)$ converges, then f is necessarily an entire function.

vii) If a power series $sum_{n=0}^{infty } a_{n}z^{n}$ converges for $left | z ight |< 1$ and if bn $b_{n}in mathbb{C}$ is such that $left | b_{n} ight |< n^{2}left | a_{n}ight |$ for all $ngeq 0$ , then $sum_{n=0}^{infty }b_{n}z^{n}$ converges for $left | z ight |< 1$ .

viii) If f is entire and f (z) = f (−z) for all z , then there exists an entire function g such that $f(z)=g(z^{2}) for all zin mathbb{C}$

ix) A mobius transformation which maps the upper half plane $left { z:Im z> 0 ight }$ onto itself and fixing 0, $infty$ and no other points, must be of the form Tz = $alpha$ z for some $alpha > 0$ 0 and $alpha eq 1.$ .

x) If f is entire and Re f (z) is bounded as | z| → $infty$ , then f is constant.

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Question:

What points will you keep in mind while evaluating space and play materials in an ECCE Centre? Make a checklist to support your answer.

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Question:

Define and give an example for each of the following concepts in the context of signals and systems:

i) A stable system

ii) A time-varying system

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Question:

Discuss any three causes of aggression among young children? Explain three strategies using which parents can socialize/handle the child’s aggressive behaviour.

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Question:

Prove that the equation (x,y,z) = defines a unique continuously differentiable function of near ,1( − )1 such that ,1(g − )1 = .

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Question:

What are long term and the short term goals?

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Question:

List out the five stages in planning a curriculum?

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Question:

Consider the function f : $R^3$ → $R$ given by $f(x,y,z)=x^2+y^3-xy$ sin z.

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Question:

Discuss any two methods of reaching out to parents to involve them in the activities of the child care centre.

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Question:

What are the factors that influences language development?

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Question:

What are the language abilities of a child between 3-6years of age?

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Question:

Describe one activity each for fostering the development of the following abilities in four year old children.
(a) Pre-reading skills
(b) Creativity
(c) Fine motor skills
For each activity, mention its goals, material(s) required, if any and procedure to carry out the activity.

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Question:

Let{ ${x_{n}}$ } and { ${y_{n}}$ }be Cauchy sequences in a metric space (X,d).Show that the sequence {d( $x_{n},y_{n}$ )} converges in R.