Mastering the Gujarat Board (GSHSEB) Class 12 Maths Syllabus is vital for high scores in board and competitive entrance exams. Mathematics demands daily problem practice and solid conceptual understanding.
The official curriculum provides a structured roadmap for your academic year. It covers key topics like Calculus, Vectors, Relations, and Probability. Knowing the latest syllabus helps you organize study hours efficiently across simple and difficult topics. Clear syllabus knowledge keeps your study routine focused and goal-driven.
GSHSEB Class 12 Online Batches
The curriculum is divided into two academic terms covering thirteen comprehensive chapters. Students must learn both theoretical definitions and practical numerical problem-solving methods.
|
Subject |
Topics/Chapters |
|
Maths |
Relations and Functions |
|
Inverse Trigonometric Functions |
|
|
Matrices |
|
|
Determinants |
|
|
Continuity and Differentiability |
|
|
Application of Derivatives |
|
|
Integrals |
|
|
Application of Integrals |
|
|
Differential Equations |
|
|
Vector Algebra |
|
|
Three-Dimensional Geometry |
|
|
Linear Programming |
|
|
Probability |
This section outlines the detailed unit-wise topics included in the Class 12 curriculum. Review each branch systematically to build strong calculation accuracy.
This unit develops fundamental logical reasoning and algebraic skills. Students must focus on operations and function properties.
Relations and Functions: Reflexive, symmetric, transitive relations, and bijective functions.
Inverse Trigonometric Functions: Range, domain, and principal value branches.
Matrices: Operations, symmetric and skew-symmetric matrices, elementary row operations.
Determinants: Properties, adjoint, inverse of a square matrix, consistency of equations.
Calculus carries the highest weightage in the board examination. Practice standard formulas and application problems daily.
Continuity and Differentiability: Chain rule, implicit functions, logarithmic differentiation.
Applications of Derivatives: Rate of change, increasing and decreasing functions, maxima and minima.
Integrals: Definite and indefinite integration techniques, standard integration formulas.
Applications of Integrals: Area under simple curves, area between lines and parabolas.
Differential Equations: Order, degree, general solutions, homogeneous linear equations.
These topics test spatial visualization along with data modeling techniques. Learn basic vector formulas and distribution laws.
Vector Algebra: Dot and cross products, scalar components, direction ratios.
Three Dimensional Geometry: Vector equations of lines, angle between lines, shortest distance.
Linear Programming: Formulation, objective function, graphical solution of bounded regions.
Probability: Multiplication theorem, independent events, Bayes theorem, random variable distributions.
Structured revision and regular problem-solving ensure top scores in Class 12 Mathematics. Follow these simple steps during your preparation:
Study Official Textbooks: Solve all textbook examples and exercise problems first.
Maintain Formula Sheets: Write down identities, derivatives, and standard integrals in one notebook.
Solve Previous Papers: Practice past five years board papers to understand the question structure.
Focus on Weak Topics: Spend extra time on tough sections like Differential Equations.
Attempt Timed Mock Tests: Boost your calculation speed and exam time management.