- Arithmetic, geometric and harmonic progressions: Arithmetic, geometric and harmonic means and relation among them, sum to first n terms of arithmetic, geometric and arithmetic-geometric series, simple applications.
- Theory of quadratic equations: Its rational, irrational and complex roots, relation between roots and coefficients of a quadratic equation, nature of roots, formation of quadratic equation, symmetric functions of the roots, quadratic expression, its maximum and minimum values, simple applications.
- Complex numbers: Its real and imaginary parts, polar form and conjugate of a complex number, Argand diagram, cube roots of unity, triangle inequality, simple problems.
- Permutation and combination: Fundamental theorem of counting, permutation as arrangement and combination as selection. Permutation and combination of like and unlike things. Circular permutation is to be excluded. Simple applications.
- Binomial Theorem: Binomial theorem for a positive integral index, general term, middle term (terms), equidistant terms, simple applications.
- Infinite series: Infinite geometric series, Binomial theorem for fractional and negative index, exponential series, logarithmic series, simple applications.
- Matrices and determinants: Matrices upto third order, addition, subtraction, scalar multiplication and multiplication of matrices. Determinants upto third order, Properties of determinants, Minors and confactors, application of determinants for evaluation of area of a triangle and solution of a system of linear equations by using Cramer’s rule. Inverse of a 2 X 2 matrix, simple applications.
- Probability Theory: Random experiment and their outcomes, events, sample space, equally likely, mutually exclusive and exhaustive cases, classical definition of probability, addition and multiplication theorems, simple applications.
Tripura JEE-2015 syllabus: Mathematics
Tripura joint Entrance Examination (TJEE) is the engineering entrance exam for the admissions into professional degree courses of the various colleges in Tripura, conducted by the Tripura joint Entrance Examinations Board.. Students can get Tripura JEE syllabus from here.