UP TGT MATHEMATICS SYLLABUS (OFFICIAL & VERIFIED)

 UP TGT MATHEMATICS SYLLABUS (OFFICIAL & VERIFIED)

(Trained Graduate Teacher – Mathematics)

🟣 Exam Conducting Authority
Uttar Pradesh Secondary Education Service Selection Board (UPSESSB)

🟢 Post Details
Post Name: Trained Graduate Teacher (TGT)
Subject: Mathematics
Class Level: 6 to 10
Exam Type: Objective (MCQ)

🔴 EXAM PATTERN (OVERVIEW)

• Multiple Choice Questions (MCQs)
• Graduation Level Mathematics
• No Negative Marking
• Single Written Examination

🟦 DETAILED SYLLABUS – TGT MATHEMATICS

🟠 1. ALGEBRA

• Sets, Relations and Functions
• Quadratic Equations
• Matrices and Determinants
• Complex Numbers
• Permutation and Combination
• Binomial Theorem
• Sequences and Series

🟠 2. TRIGONOMETRY
• Trigonometric Ratios and Identities
• Trigonometric Equations
• Heights and Distances
• Inverse Trigonometric Functions

🟠 3. CALCULUS

• Limits and Continuity
• Differentiability
• Differentiation and its Applications
• Indefinite and Definite Integration
• Applications of Integration
• Differential Equations (Basic)

🟠 4. COORDINATE GEOMETRY
• Straight Line
• Circle
• Parabola
• Ellipse
• Hyperbola

🟠 5. VECTOR ALGEBRA & 3D GEOMETRY

• Vectors and Vector Operations
• Scalar and Vector Products
• Direction Cosines and Direction Ratios
• Lines and Planes in Three Dimensions

🟠 6. MENSURATION

• Surface Area of 2D and 3D Figures
• Volume of Solid Figures

🟠 7. STATISTICS & PROBABILITY

• Measures of Central Tendency
– Mean, Median, Mode
• Measures of Dispersion
• Basic Probability Concepts

🟠 8. MATHEMATICAL REASONING

• Statements
• Logical Connectives
• Truth Tables
• Validity of Arguments

🟠 9. PEDAGOGY (BASIC – MATHEMATICS)

• Teaching Methods of Mathematics
• Evaluation and Assessment Techniques
• Learner Psychology
• Educational Objectives
• Classroom Teaching Skills

🟢 IMPORTANT NOTE

This syllabus is prepared strictly after verifying official UP TGT notifications
and follows standard Graduation-level Mathematics prescribed for
UPSESSB Trained Graduate Teacher (TGT) examination.

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