Calculus And Analytical Geometry in 2D and 3D

Course Description

The course comprises Mathematics at +2 (Grade 12) level without Algebra, Trigonometry and Probability and Statistics. The course would comprise of classes (two classes for each chapter in the book of total 49 chapters). Students can send email to the teacher and these would be answered in the discussion board or may be replied direct.

How is this course different?

• Mathematics is reduced to identity, division and symmetry. This will boost confidence and eases pressure.
• An attempt to rewrite mathematics in an axiomatic manner.
• It teaches 2 dimensional coordinate geometry and 3 dimensional geometry, straight lines and planes integrated with vectors also teaches the topics in traditional methods.
• It treats conic sections intensively with special meanings to eccentricity and showing them as sections of cone and trajectories of celestial bodies. Also vector methods are used.
• It treats vectors, and mechanics including rotational motion etc.
• Matrices and determinants have been treated in an axiomatic manner.
• It treats differential calculus intensively integrated with theory of equations and conic sections, maxima minima, tangents and normals, curvature and asymptotes, pole and polar etc with special mention to conic sections. Cylindrical Polar and spherical polar coordinates and partial differentiation.
• It treats integral calculus, quadrature and rectification, beta and gamma functions.
• Introduction to differential equations from concrete examples of projectile motion, uniform circular motion, simple harmonic motion, planetary motion all integrated into central forces.

Why should you enroll in this course?

• It would ensure fundamentals in mathematics courses and physics derivations in +2 level in the same time.
• It has lot of solved and hinted problems which would prepare the student for curricular examinations in +2 level.
• The questions and problems shall go a long way in preparation of IITJEE and other competitive examinations.

The course package:

• A book authored by the teacher would be available for download - the cost of book is included in the cost of the course.
• 98 LIVE interactive hours.