UPESSC UP PGT Mathematics Syllabus 2026: Overview
| Particular | Details |
|---|---|
| Examination | UP PGT Selection Examination 2026 |
| Recruitment Authority | Uttar Pradesh Education Service Selection Commission (UPESSC), as named in Advertisement No. 06/2026 |
| Post | Post Graduate Teacher (PGT) |
| Subject | Mathematics (गणित) |
| Advertisement Number | 06/2026 |
| Written Examination | 120 objective-type questions |
| Total Written Marks | 360 marks |
| Examination Duration | 2 hours |
| General Knowledge | 30 questions |
| Subject-Specific Questions | 90 questions |
| Written Examination Marks | 360 |
| Interview | 40 marks, as specified in the notification |
| Official Website | upessc.up.gov.in |
Source: UPESSC Advertisement No. 06/2026. Check the official notification and any subsequent corrigendum for applicable conditions.
UP PGT Mathematics New Exam Pattern 2026
UPESSC Advertisement No. 06/2026 specifies a written examination carrying 360 marks, followed by an interview carrying 40 marks for the selection process described in the notification.
| Section | Number of Questions | Marks |
|---|---|---|
| General Knowledge (सामान्य ज्ञान) | 30 | 90 |
| Mathematics Subject (गणित) | 90 | 270 |
| Total Written Examination | 120 | 360 |
| Interview | As applicable | 40 |
| Total Selection Marks | — | 400 |
Marking Scheme
- Correct answer: +3 marks.
- Wrong answer: −1 mark.
- Multiple answers marked for a question: −1 mark, as specified in the notification.
- Examination duration: 120 minutes.
- Questions are objective-type multiple-choice questions.
Example of Score Calculation
मान लीजिए किसी candidate ने 70 questions सही और 20 questions गलत किए तथा 30 questions unanswered छोड़ दिए। इस उदाहरण में score होगा:
Score = (70 × 3) − (20 × 1) = 190 marks
यह केवल marking scheme समझाने के लिए एक उदाहरण है, actual result या expected cut-off नहीं।
UPESSC UP PGT Mathematics Syllabus 2026: Topic-Wise Preparation Outline
Mathematics की तैयारी में algebra, calculus, geometry, differential equations और advanced mathematical concepts जैसे क्षेत्रों पर व्यवस्थित रूप से काम करें। नीचे दिए गए topics एक preparation outline हैं। प्रत्येक topic की official syllabus में inclusion और prescribed depth को subject-specific official PDF से verify करें।
1. Algebra (बीजगणित)
- Relations and Functions
- Types of Relations: Reflexive, Symmetric, Transitive and Equivalence Relations
- Sets and Functions
- Matrices and Determinants
- Theory of Equations
- Arithmetic, Geometric and Harmonic Progressions
- Permutations and Combinations
- Binomial Theorem
- Exponential and Logarithmic Series
- Probability
Preparation tip: Algebra में definitions, identities, properties और problem-solving methods को साथ-साथ revise करें। केवल formulas याद करने के बजाय उनके applications पर भी practice करें।
2. Calculus (कलन)
- Limits and Continuity
- Differentiability
- Derivatives and Their Applications
- Rolle’s Theorem
- Lagrange’s and Cauchy’s Mean Value Theorems
- Taylor and Maclaurin Series
- L’Hospital’s Rule
- Maxima and Minima
- Increasing and Decreasing Functions
- Integration and Applications of Integration
- Riemann Integration
Preparation tip: Calculus में theorem की conditions, formulas और numerical problems का नियमित अभ्यास करें। हर solution में intermediate steps लिखने की आदत बनाएं।
3. Ordinary Differential Equations (अवकल समीकरण)
- Formation of Differential Equations
- First-Order Differential Equations
- First-Order and First-Degree Equations
- Linear Differential Equations
- Homogeneous Differential Equations
- Methods of Solving Differential Equations
इस unit की तैयारी करते समय differential equation की order और degree पहचानने, suitable method चुनने और solution verify करने का अभ्यास करें।
4. Coordinate Geometry (निर्देशांक ज्यामिति)
- Coordinate Geometry Fundamentals
- Lines and Their Equations
- Circles
- Conic Sections
- Parabola, Ellipse and Hyperbola
- Coordinate-Based Geometrical Problems
Coordinate geometry में diagrams, standard equations और geometrical properties को समझना महत्वपूर्ण है। Official syllabus में दिए गए subtopics के अनुसार revision करें।
5. Vectors and Three-Dimensional Geometry (सदिश एवं त्रिविमीय ज्यामिति)
- Vectors and Vector Operations
- Scalar Product and Vector Product
- Lines in Three-Dimensional Space
- Planes and Their Equations
- Distance and Angle Problems
- Geometrical Applications of Vectors
6. Abstract Algebra (अमूर्त बीजगणित)
- Groups and Subgroups
- Properties of Groups
- Cyclic Groups
- Normal Subgroups
- Group Homomorphisms
- Group Isomorphisms
- Rings and Fields
Abstract Algebra में definitions, theorems और counterexamples को समझें। प्रत्येक algebraic structure की defining properties को स्पष्ट रूप से पहचानें।
7. Linear Algebra (रैखिक बीजगणित)
- Vector Spaces
- Subspaces
- Linear Independence and Dependence
- Basis and Dimension
- Linear Transformations
- Eigenvalues and Eigenvectors
- Matrices and Their Properties
8. Vector Calculus (सदिश कलन)
- Scalar and Vector Fields
- Gradient
- Divergence
- Curl
- Line Integrals
- Surface Integrals
- Green’s Theorem
- Stokes’ Theorem
- Gauss Divergence Theorem
9. Mechanics (यांत्रिकी)
- Fundamental Concepts of Mechanics
- Motion and Force
- Equilibrium and Related Problems
- Mathematical Applications in Mechanics
10. Trigonometry (त्रिकोणमिति)
- Trigonometric Ratios and Identities
- Trigonometric Equations
- Inverse Trigonometric Functions
- Properties and Applications of Trigonometric Functions
Important: ऊपर दिया गया topic outline preparation planning के लिए है, न कि official syllabus का प्रमाणित पूर्ण transcription। कुछ topics की scope या inclusion में अंतर हो सकता है। तैयारी से पहले official Mathematics syllabus PDF देखें।
UP PGT General Knowledge Syllabus: Preparation Areas
Written examination में 30 General Knowledge questions निर्धारित हैं। General Knowledge की तैयारी के लिए नीचे दिए गए broad areas पर ध्यान दिया जा सकता है। इन्हें official section के विस्तृत syllabus के साथ verify करें।
- Current Affairs: State, National and International Events
- Indian History and National Movement
- Indian Constitution and Polity
- Indian Economy
- Indian Geography and Population
- General Science and Environment
- Human Health and Hygiene
- Information and Communication Technology
- Computer and Internet Terminology
- Educational Technology
Current affairs के लिए नियमित revision करें और static GK के लिए topic-wise short notes तैयार करें।
UP PGT Mathematics Syllabus PDF: How to Check and Download
Official syllabus PDF डाउनलोड करने के लिए commission की website पर उपलब्ध संबंधित subject document का उपयोग करें।
- UPESSC की official website खोलें।
- Examination, syllabus, notification या संबंधित recruitment section देखें।
- PGT Selection Examination 2026 या Advertisement No. 06/2026 से संबंधित document खोजें।
- Mathematics (गणित) subject का syllabus document उपलब्ध होने पर खोलें।
- PDF में syllabus, examination scheme और किसी corrigendum को ध्यान से पढ़ें।
- Document को अपने device में save करके preparation checklist बनाएं।
Notification PDF: Advertisement No. 06/2026 notification copy.
यह notification link एक secondary-hosted copy है। Official confirmation और नवीनतम संशोधन के लिए commission की website को प्राथमिकता दें। ऊपर दिए गए notification PDF और subject-specific syllabus PDF को एक ही document न समझें।
How to Prepare for UP PGT Mathematics 2026
Step 1: Verify the Official Syllabus
सबसे पहले official Mathematics syllabus डाउनलोड करें। अपने notes में केवल उन्हीं topics को official syllabus का हिस्सा बताएं जिनकी पुष्टि document से होती है।
Step 2: Make a Topic-Wise Study Plan
Mathematics syllabus को छोटे study units में बांटें। हर unit के लिए concept learning, solved examples, independent practice और revision का समय निर्धारित करें।
Step 3: Practise Mathematical Problems
प्रत्येक topic के बाद MCQs और numerical problems हल करें। गलत answers की एक अलग notebook बनाएं और उन concepts को दोबारा पढ़ें।
Step 4: Prepare General Knowledge Alongside Mathematics
Written examination में General Knowledge के 30 questions हैं। इसलिए subject preparation के साथ GK की नियमित तैयारी भी करें।
Step 5: Take Timed Mock Tests
120-minute practice sessions में speed, accuracy और question selection की आदत विकसित करें। Mock tests को practice material के रूप में उपयोग करें; उन्हें official question papers न बताएं।
Step 6: Revise and Analyse Mistakes
Formula sheets, important theorems और difficult problems का नियमित revision करें। हर mock test के बाद accuracy, time management और कमजोर topics का analysis करें।
UP PGT Mathematics Study Material
अपनी तैयारी के लिए निम्न प्रकार के resources व्यवस्थित करें:
- Official subject-wise syllabus
- University-level Mathematics textbooks relevant to the prescribed topics
- Topic-wise notes and formula sheets
- Original MCQ practice sets
- Previous-year papers whose authenticity and source have been checked
- Timed mock tests with answer explanations
- Revision checklists and error notebooks
किसी भी paid book, coaching PDF या question bank की सामग्री को अनुमति के बिना copy करके republish न करें। Officially available paper को भी पूरा reproduce करने से पहले applicable reuse rights जांचें।
Frequently Asked Questions (FAQs)
1. What is the UPESSC UP PGT Mathematics exam pattern for 2026?
Advertisement No. 06/2026 specifies a written examination of 120 objective questions for 360 marks, lasting two hours. It includes 30 General Knowledge questions and 90 subject-specific questions. The notification also specifies an interview worth 40 marks.
2. How many Mathematics questions are there in the written examination?
The notification specifies 90 subject-specific questions. Candidates should consult the applicable official syllabus for the detailed Mathematics topics.
3. Is there negative marking in UP PGT 2026?
Yes. The supplied Advertisement No. 06/2026 notification specifies a deduction of one mark for a wrong or multiple answer, while a correct answer carries three marks.
4. Where can I download the UP PGT Mathematics syllabus PDF?
Visit the official UPESSC website at upessc.up.gov.in and look for the applicable PGT Mathematics syllabus document. Do not assume that a recruitment notification contains the complete subject-wise syllabus.
5. Which topics should I study for UP PGT Mathematics?
Use the official subject-wise syllabus as your checklist. Areas such as algebra, calculus, differential equations, geometry, linear algebra and vector calculus can help structure your preliminary study plan, but verify each topic against the applicable official syllabus.
6. Can I prepare using online mock tests?
Yes. Original mock tests can help you practise time management and identify weak areas. Confirm that the mock test follows the applicable examination pattern, and distinguish it from an authentic previous-year paper.
7. Is the topic-wise outline on this page the complete official syllabus?
No. It is a preparation outline. Candidates should consult the official subject-wise syllabus PDF for the definitive topic list and any subsequent revisions.
Conclusion
UPESSC UP PGT Mathematics preparation should begin with the official syllabus and examination scheme. After confirming the topic list, divide Mathematics into manageable units, practise questions regularly, prepare General Knowledge alongside the subject and revise mistakes through timed mock tests.
For recruitment-related facts, always check the latest official notice and corrigenda. Use independently prepared study material and verified resources to build an effective preparation strategy.
Official website: https://upessc.up.gov.in/
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