TS Inter 2nd Year Maths Syllabus 2024-25 Download: The Telangana State Board's 2nd Year Maths syllabus for 2024-25 is divided into two components, Mathematics II-A and Mathematics II-B. Mathematics II-A covers complex numbers, quadratic expressions, theory of equations, and principles of permutations and combinations. It also delves into binomial theorems, partial fractions, and dispersion measures, including mean and standard deviation. On the other hand, Mathematics II-B focuses on geometric concepts, such as circles, systems of circles, parabolas, ellipses, and hyperbolas. It also includes calculus fundamentals like integration and definite integrals, which are crucial for understanding advanced mathematical applications. Scroll down to check the complete Telangana Board syllabus 2024-25 for Maths A and Maths B. Also, download the PDFs.
TS 2nd Year Maths Syllabus 2024-25
Here is the Mathematics A and B syllabus for Telangana Board Class 12th. Go through the syllabus and prepare for the exams accordingly.
Mathematics A
| Topics to be covered Unit test/ Exams/ EAPCET classes to be conducted. |
| Syllabus and pre-requisites 01 Complex Numbers: Complex number as an ordered pair of real numbers- fundamental operations Representation of complex numbers in the form a+ib. Modulus and amplitude of complex numbers – Illustrations. Geometrical and Polar Representation of complex numbers in Argand plane-Argand diagram. 02 De Moivre’s Theorem: De Moivre’s theorem- Integral and Rational indices. nth roots of unity- Geometrical Interpretations – Illustrations. 03 Quadratic Expressions: 3.1 Quadratic expressions, equations in one variable EAPCET weekly one Class Test on EAPCET |
| Sign of quadratic expressions – Change in signs – Maximum and minimum values Quadratic inequations 04 Theory of Equations: The relation between the roots and coefficients in an equation Solving the equations when two or more roots of it are connected by certain relation Equation with real coefficients, occurrence of complex roots in conjugatepairs and its consequences Transformation of equations –ReciprocalEquations. UNIT TEST –I EAPCET weekly one Class Test on EAPCET |
| 4.4 Transformation of equations –ReciprocalEquations. 05 Permutations and Combinations: Fundamental Principle of counting – linear and circular permutations Permutations of ‘n’ dissimilar things taken ‘r’ at a time Permutations when repetitions allowed Circular permutations Permutations with constraint repetitions UNIT TEST -II EAPCET weekly one Class Test on EAPCET |
| 5.6 Combinations-definitions and certain theorems 06 Binomial Theorem: Binomial theorem for positive integral index Binomial theorem for rational Index (Without proof) UNIT TEST-III EAPCET weekly one Class Test on EAPCET |
| 6.3 Approximations using Binomial theorem 07 Partial fractions: Partial fractions of f(x)/g(x) when g(x) contains non –repeated linear factors. Partial fractions of f(x)/g(x) when g(x) contains repeated and/or non-repeatedlinear factors. Partial fractions of f(x)/g(x) when g(x) contains repeated and non-repeated irreducible factors only 08 MEASURES OF DISPERSION Range Mean deviation EAPCET weekly one Class Test on EAPCET |
| FIRST TERM HOLIDAYS FROM 06-10-2024 TO 13-10-2024 |
| Variance and standard deviation of ungrouped /grouped data. Coefficient of variation and analysis of frequency distribution with equal means but different variances. 09 Probability 9.1 Random experiments and events EAPCET weekly one Class Grand Test on EAPCET |
| HALF YEARLY EXAMINATIONS FROM 18-11-2024 TO 23-11-2024 |
| Classical definition of probability, Axiomatic approach and addition theorem of probability. Independent and dependent events Conditional probability- multiplication theorem andBayee’s theorem. Random Variables and Probability Distributions: Random Variables Theoretical discrete distributions – Binomial and Poisson Distributions UNIT TEST-IV EAPCET weekly one Class Test on EAPCET |
| 10.2 Theoretical discrete distributions – Binomial and Poisson Distributions (remaining part) EAPCET weekly one Class Grand Test on EAPCET REVISION |
Mathematics B
| Topics to be covered Unit test/ Exams/ EAPCET classes to be conducted. |
| Syllabus and pre-requisites 01. Circle : Equation of circle -standard form-centre and radius of a circle with a given line segment as diameter & equation of circle through three non collinear points -parametric equations of a circle. Position of a point in the plane of a circle – power of a point-definition of tangent-length of tangent Position of a straight line in the plane of a circle-conditions for a line to be tangent – chord joining two points on a circle – equation of the tangent at a point on the circle- point of contact-equation of normal. Chord of contact - pole and polar-conjugate points and conjugate lines - equation of chord with given middle point. EAPCET weekly one Class Test on EAPCET |
| Chord of contact - pole and polar-conjugate points and conjugate lines - equation of chord with given middle point.(remaining part) Relative position of two circles- circles touching each other externally, internally common tangents –centers of similitude-equation of pair of tangents from an externalpoint 02. System of circles: Angle between two intersecting circles. Radical axis of two circles- properties- Common chord and common tangent of two circles – radical Centre. Intersection of a line and a Circle. UNIT TEST-I EAPCET weekly one Class Test on EAPCET |
| 06. Integration : Integration as the inverse process of Differentiation- Standard forms –properties of integrals. Method of substitution- integration of Algebraic, Exponential, Logarithmic, Trigonometric and Inverse trigonometric functions. Integration by parts. Integration- Partial fractions method. UNIT TEST -II EAPCET weekly one Class Test on EAPCET |
| 6.4 Reduction formulae 07. Definite Integrals: Definite Integral as the limit of sum Interpretation of Definite Integral as an area. Fundamental theorem of Integral Calculus. Properties UNIT TEST –III EAPCET weekly one Class Test on EAPCET |
| 7.4 Properties(remaining part) |
| Reduction formulae. Application of Definite integral to areas. |
| 08. Differential equations: |
| 8.1 Formation of differential equation-Degree and order of an ordinary differential equation. |
| 8.2 Solving differential equation by |
| a) Variables separable method. |
| EAPCET weekly one Class |
| Test on EAPCET |
| FIRST TERM HOLIDAYS FROM 06-10-2024 TO 13-10-2024 |
| Homogeneous differential equation. Non - Homogeneous differential equation. Linear differential equations. 03. Parabola: 3.1 Conic sections –Parabola- equation of parabola in standard form-different forms of parabola-Parametric equations. EAPCET weekly one Class Grand Test on EAPCET |
| HALF YEARLY EXAMINATIONS FROM 18-11-2024 TO 23-11-2024 |
| 3.2 Equations of tangent and normal at a point on the parabola ( Cartesian and Parametric)- conditions for straight line to be a tangent. |
| 04. Ellipse: Equation of ellipse in standard form- Parametric equations. Equation of tangent and normal at a point on the ellipse (Cartesian and parametric)-Condition for a straight line to be a tangent. 05. Hyperbola: 5.1 Equation of hyperbola in standard form- Parametric equations. UNIT TEST-IV EAPCET weekly one Class Test on EAPCET |
| 5.2 Equations of tangent and normal at a point on the hyperbola (Cartesian and parametric)- conditions for a straight line to be a tangent- Asymptotes EAPCET weekly one Class Grand Test on EAPCET REVISION |
Click on the link below to download the syllabus PDF.
TS 2nd Year Model Papers 2024-25
The sample papers for 2nd year are also released by the TS board. It is mandatory for the students solve these model papers and get ready for the final examination.Solving them will give you an upper edge to score better in exams.
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