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contributions, if any, mentioned in paragraph 3, shall be referred by the Syndicate to a Board of three examiners.

7. If the thesis is approved by the Board and if the candidate has obtained a first class at the examination for the Degree of Master of Arts, he shall not be required to submit to any further written examination; but he may be required by the Board, at their discretion, to appear before them to be tested orally, or practically, or by both these methods, with reference to the thesis, and the special subject selected by him. The Board shall report to the Syndicate the result of the examination of the thesis, and of the oral and practical examinations, if any; and if the Syndicate, upon the report, consider the candidate worthy of the Degree of Doctor of Philosophy, they shall cause his name to be published, with the subject of his thesis, and the titles of his published contributions (if any) to the advancement of knowledge.

8. If the candidate is a person who has obtained a second class at the examination for the Degree of Master of Arts, and, if his thesis is approved by the Board, he shall be required to submit to a written examination.

Two papers of three hours each shall be set, one upon the special subject mentioned in the application of the candidate, and the other upon the subject of the thesis. The candidate may also be required by the Board, at their discretion, to appear before them to be tested orally or practically or by both these methods with reference to the thesis and the special subject professed by him. The Board shall report to the Syndicate the result of the examination of the thesis, and of the written examination, and also of the oral and practical examinations, if any; and if the Syndicate, upon the report, consider the candidate worthy of the Degree of Doctor of Philosophy, they shall cause his name to be published, with the subject of his thesis, and the titles of his published contributions (if any) to the advancement of knowledge.

9. In the case of a candidate falling under the preceding Regulation, if the Board, upon an examination of his thesis and of his original contribution or contributions to the advancement of knowledge, hold the same to be generally or specifically of such special excellence as to justify the exemption of the candidate from the written examination, he may be so exempted by the Syndicate, provided that the report of the Board shall set forth the fact and the grounds of such exemption.

A diploma under the seal of the University, and signed by the Vice-Chancellor shall be delivered at the next convocation for conferring degrees to each candidate who has qualified for the degree.

11. Every candidate shall be at liberty to publish his thesis,

and the thesis of every successful candidate shall be published by the University with the inscription: "Thesis approved for the Degree of Doctor of Philosophy in the University of Calcutta."

CHAPTER XXXV.

INTERMEDIATE EXAMINATION IN SCIENCE.

1. The Intermediate Examination in. Science shall be held annually in Calcutta and such other places as shall, from time to time, be appointed by the Syndicate, the approximate date to be notified in the Calendar.

2. Any undergraduate of the University may be admitted to this examination, provided he has prosecuted a regular course of study in one or more Colleges affiliated for this purpose, for not less than two academical years after passing the Matriculation Examination.

Any student who has passed the Intermediate Examination in Arts may take up the course for the Intermediate Examination in Science at the second year's stage, and after one year's regular course of study appear at the examination. He will be excused attendance and examination in the subject or subjects in which he has already passed at the Intermediate Examination in Arts.

3. Every candidate sent up for the Intermediate Examination in Science by an affiliated College shall produce a certificate (a) of good conduct, (b) of diligent study, (c) of having satisfactorily passed the College Examinations and other tests, and (d) of probability of passing the examination. Every candidate for admission shall send in his application with a certificate in the form prescribed by the Syndicate either to the Registrar or to a local officer recognised by the Syndicate. Every such application must reach the office of the Registrar at least six weeks before the date fixed for the commencement of the examination.

4. A fee of rupees twenty-five shall be forwarded by each candidate with his application. A candidate who fails to pass or to present himself for examination shall not be entitled to claim a refund of the fee. A candidate who fails to pass may be admitted to any one or more subsequent Intermediate Examinations in Science on payment of a like fee of rupees twenty-five on each occasion, provided he produces a certificate from the Head of an affiliated College showing that he has prosecuted a regular course of study for one academical year since the date

of the last examination, in each of the subjects in which he is to be examined.

5. The Intermediate Examination in Science shall be conducted by means of printed papers, the same papers being used at every place at which the examination is held.

6. As soon as possible after the examination, the Syndicate shall publish a list of the candidates who have passed, arranged in three divisions, the first in order of merit, and the second and third in alphabetical order. Every candidate shall, on passing, receive a certificate in the form entered in Appendix A.

7. The subjects for the Intermediate Examination in Science shall be :

1. English...

Three papers.

2. Composition in one of the following vernacular lan-
guages :-Bengali, Hindi, Uriya, Assamese, Urdu,
Burmese, Modern Armenian
One paper.

If the vernacular of a candidate is a language not included in the above list, he shall have an alternative paper of a somewhat advanced character in English.

3. Chemistry

4.

Mathematics or Physics

Two papers.

Two papers in either subject.
Two papers.

5. Any one of the following subjects :—

(i) Mathematics, if not taken up as the 4th subject. (ii) Physics, if not taken up as the 4th subject.

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8.

(vii) Physiology.

Candidates may also be examined, if they so desire, in an additional subject included under 5, provided they have not already taken the sub ect, or in French or German. In this optional subject there shall be two papers of three hours each.

9. No student shall be permitted to take up Mathematics for the B.Sc. Examination unless he has taken it up for the Intermediate Examination.

No student shall be permitted to take up Physics or Chemistry for the B.Sc. unless he has taken up both Mathematics and Physics for the Intermediate Examination.

10. Each paper shall be of three hours, and shall carry 100 marks.

11. No practical examination will be held by the University in connection with the science subjects in the Intermediate Examination in Science, but every student who desires to be examined in any such subject must produce a certificate from

the Principal of his College to the effect that he has completed in an affiliated College the corresponding practical course prescribed by the Regulations.

12. The limits of the above subjects for both theoretical and practical work are defined below:

ENGLISH, VERNACULARS, FRENCH, GERMAN.

As in the Intermediate Examination in Arts.

MATHEMATICS.

1. Algebra.

Theory of Quadratic equations and expressions.
Simultaneous Quadratic equations, one of which is linear.
Permutations and Combinations.

Variation proportion.

Binomial theorem.

Theory of Indices.

Surds and imaginary quantities.
Logarithms.

Exponential and Logarithmic Series.

Graphs of simple algebraic functions and of the exponential and logarithmic functions.

2. Plane Trigonometry.

Measurement of Angles.

Trigonometrical ratios.

Application of algebraic signs; angles of any magnitude.
Graphs of trigonometrical ratios.

Elementary trigonometrical formulæ and their applications.
Logarithmic Sines, Cosines, etc.

Relations between the sides and angles of a triangle.
Practical solutions of triangles with applications.

3. Geometry.

(a) Parabola.

Tracing the curves from the definition.

Latus rectum is four times the focal distance of the vertex.
PN24 AS. AN.

The middle points of parallel chords lie on a straight line parallel to the axis. The parameter of any diametar of a parabola is four times the line joining the focus with the vertex of the diameter.

QV2=4.SB. BV.

If any chord QQ' intersects the directrix in D, SD bisects the exterior angle between SQ and SQ.

The tangent to the curve at its points of intersection with a diameter is parallel to the system of chords bisected by the diameter.

The portion of the tangent at any point intercepted between that point and the directrix subtends a right angle at the focus. The tangent bisects the angle between the focal distance and the perpendicular on the directrix.

The subtangent is bisected at the vertex.

The normal at any point makes equal angles with the focal distance and the axis.

The subnormal is equal to half the latus rectum.

(b) Ellipse.

Tracing the curve from the definition.

The curve is symmetrical with regard to the minor axis and has a second focus and directrix.

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If any chord QQ' of an ellipse intersects the directrix in D, SD bisects the exterior angle between SQ and SQ'.

PN: AN. AN=CB2: CA.

The middle points of parallel chords lie on a straight line passing through the centre.

The tangent to the curves at either end of a diameter is parallel to the system of chords bisected by the diameter.

The portion of the tangent at any point intercepted between that point and the directrix subtends a right angle at the focus and conversely.

The tangents at the ends of a focal chord intersect on the directrix.

The tangent at any point of an ellipse makes equal angles with the focal distances of the point.

(c) Solid Geometry.

One and only one plane may be made to pass through any two intersecting straight lines.

Two intersecting planes cut one another in a straight line and in no point outside it.

If a straight line is perpendicular to each of two intersecting straight lines at their point of intersection, it is also perpendicular to the plane in which they lie.

All straight lines drawn perpendicular to a given straight line at a given point are co-planar.

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