Maths

The eligibility criteria for admission to a Bachelor of Technology (BTech) programme in computer Science or any related field typically include a strong foundation in mathematics. Since you mentioned that you don't have mathematics in your 11th and 12th grade and belong to the PCB (Physics, Chemistry, Biology) group, it might be challenging to meet the standard eligibility requirements for a BTech in computer science.Most engineering colleges and universities in India, including those in Mumbai, usually require candidates to have studied Mathematics as one of the core subjects in their Class 12 education.However, admission policies can vary between institutions, and some colleges may have specific entrance exams or alternative eligibility criteria. It's advisable to check the admission requirements of individual colleges in Mumbai and contact their admission offices for accurate and up-to-date information.If you are interested in pursuing a career in computer Science without a background in mathematics, you may want to explore alternative pathways such as Diploma courses or other related fields that do not have strict mathematics requirements. Additionally, you could consider pursuing a degree in computer applications or information technology, which may have less stringent mathematics prerequisites compared to computer Science engineering programs.

Candidates can check the space below to know about the syllabus of PUCAT mathematics Real Analysis section:Sequences and series of real numbers. Convergent and divergent sequences, bounded and monotone sequences, Convergence criteria for sequences of real numbers, Cauchy sequences, absolute and conditional convergence; Tests of convergence for series of positive termscomparison test, ratio test, root test, Leibnitz test for convergence of alternating series. Functions of one variable: limit, continuity, differentiation, Rolle's Theorem, Cauchy’s Taylor's theorem. Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets; completeness of R, Power series (of real variable) including Taylor's and Maclaurin's, domainof convergence,  term-wise differentiation and integration of power series. Functions of two real variable: limit, continuity, partial derivatives, differentiability, maxima and minima. Method of Lagrange multipliers, Homogeneous functions including Euler's theorem.