(1) Elements of the Differential and Integral Calculus (2) Plane Trigonometry An Elementary Text-book for the Higher Classes of Secondary Schools and for Colleges (3) Elementary Projective Geometry (4) A First Course in Analytical Geometry, Plane and Solid, with Numerous Examples

Nature ◽  
1910 ◽  
Vol 84 (2127) ◽  
pp. 136-137
Author(s):  
T. J. I'A. B.
2016 ◽  
Vol 78 (10) ◽  
Author(s):  
Nor Hazizah Julaihi ◽  
Tang Howe Eng ◽  
Voon Li Li

The existing gap of mathematics knowledge was identified as the major contributor to the decline in the students’ performance on the Integral Calculus at the university level. This phenomenon has led to university students’ difficulties in identifying the correct integration techniques and developing understanding on applications of the Integral Calculus. This study aims to analyse the effectiveness of e-INTEGRAL MAP in the learning of Integral Calculus among engineering students of advanced Calculus class. A total of 118 diploma engineering students were involved in an experimental design research to study on the usage and effectiveness of e-INTEGRAL MAP. Study was performed on 65 students in control group and 53 students in treatment group, using the pre-test and post-test experimental design methodology where the effectiveness of the maps was measured through their performance scores. Findings indicate that both control and treatment groups showed significant differences in post-test scores during the two months study. The majority of e-INTEGRAL MAP users found the maps very useful, helpful, easy to understand and user-friendly because it was systematically designed. In conclusion, e-INTEGRAL MAP significantly improved the students’ performance and understanding on the topic of Integral Calculus as compared to the conventional text-book learning.


1903 ◽  
Vol 25 (1) ◽  
pp. 106-106
Author(s):  
W. R. Whitney
Keyword(s):  

1911 ◽  
Vol 6 (93) ◽  
pp. 133
Author(s):  
Ganesh Prasad
Keyword(s):  

Vestnik MGSU ◽  
2015 ◽  
pp. 141-147 ◽  
Author(s):  
Andrey Viktorovich Ivashchenko ◽  
Tat’yana Mikhaylovna Kondrat’eva

The article focuses on the optimization of the earlier discussed computer method of obtaining new forms of polyhedra based on projective geometry drawings (trace Dia- grams).While working on getting new multifaceted forms by projective geometry methods based on the well-known models of polyhedra on the first stage of the work it is required to calculate the parameters of projective geometry drawings, and then to build them. This is an often used apparatus of analytical geometry. According to it, at first the parameters of the polyhedron (core system of planes) are calculated, then we obtain the equation of the plane of the face of the polyhedron, and finally we obtain the equations of lines - the next plane faces on the selected curve plane. At each stage of application such a method requires the use of the algorithms of floating point arithmetic, on the one hand, leads to some loss of accuracy of the results and, on the other hand, the large amount of com- puter time to perform these operations in comparison with integer arithmetic operations.The proposed method is based on the laws existing between the lines that make up the drawing - the known configurations of projective geometry (complete quadrilaterals, configuration of Desargues, Pappus et al.).The authors discussed in detail the analysis procedure of projective geometry draw- ing and the presence of full quadrilaterals, Desargues and Pappus configurations in it.Since the composition of these configurations is invariant with respect to projec- tive change of the original nucleus, knowing them, you can avoid the calculations when solving the equations for finding direct projective geometry drawing analytically, getting them on the basis of belonging to a particular configuration. So you can get a definite advantage in accuracy of the results, and in the cost of computer time. Finding these basic configurations significantly enriches the set of methods and the use of projective geometry drawings.


Author(s):  
Swehra Moeed

Course content is a hub of educational activities. The method of teaching and assessment procedure more or less rely on the nature of syllabus. Being core of educational activities great importance is given to course content.  This study was conducted to investigate the opinion of teachers concerning existing syllabus of intermediate level chemistry subject. The data was gathered through questionnaire based on 5 point Likert scale items. Sixty three teachers of chemistry subject were working at Government Degree Colleges (GDCs) and Government Higher Secondary Schools (GHSSs) of district Peshawar. Among sixty three fifty seven teachers were selected randomly as sample of study. The collected data prevail that the implemented syllabus is mostly based on theory, hence in such circumstance the national aim to produce skill generation as per demand of market seem impossible. The condition of practical work and hand on activities is dispiriting in government educational institutes. The psychological and social need of students has been ignored while designing the syllabus. The text book is a mean of imparting pre-set information, it seems failed to provide valuable engaging activities.


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