Course module
Section 3 | अनुक्रम, कलन, वास्तविक विश्लेषण एवं टोपोलॉजी / Sequences, Calculus, Real Analysis & Topology — BPSC TRE 4.0 PGT Mathematics (कक्षा 11–12)
विषय भाग (80 प्रश्न): वरिष्ठ माध्यमिक शिक्षक स्तर पर इकाई-वार MCQ अभ्यास। / Unit-wise MCQ practice at PGT depth for the subject section (80 questions). Sequence and Series (Series) / Calculus / Real Analysis and Topology.
Explore the module outline and lessons below. Enroll free to begin studying here.
Return to /learn/BPSC-TRE-4-SENIOR-SECONDARY-TEACHER-CLASS-11-12-MATHEMATICS/subject-analysis after enrolling
- Lessons
- 63
- Duration
- —
- PYQs
- 38
- Practice
- 260
19% of this course's PYQ weight is covered in this module.
Syllabus index
Lessons in this module
Sequence and Series (Series)
Basic Concepts & Terminologies
Arithmetic Progression (AP)
Arithmetic Mean & Geometric Mean (AM-GM)
Calculus
Limits
- [Notes] Introduction to LimitsPdf
- [Notes] Important Properties of LimitsPdf
- [Notes] Indeterminate FormsPdf
- Non-Indeterminate FormsPdf
- [Notes] Solving Limits-Substitution MethodPdf
- [Notes] Solving Limits-Tabular & Approximation MethodPdf
- [Notes] Solving Limits-Factorization MethodPdf
- [Notes] Solving Limits-Expansion MethodPdf
- [Notes] Solving Limits-L Hopital's RulePdf
- [Notes] Questions on L Hopital's Rule (Part 1)Pdf
- [Notes] Questions on L Hopital's Rule (Part 2)Pdf
- [Notes] Proof of L Hopital's RulePdf
- [Notes] Some Notable Special LimitsPdf
Continuity
- [Notes] ContinuityPdf
- [Notes] Continuity in intervalsPdf
- [Notes] Properties of Continuous FunctionsPdf
- [Notes] Let's Solve Questions on ContinuityPdf
- [Notes] Types of DiscontinuityPdf
- [Notes] Gate CS 2013 - 1 Mark QuestionPdf
- [Notes] Gate CS 2015 - Set2 - 1 Mark QuestionPdf
- [Notes] Gate CS 2014 - Set1 - 2 Marks QuestionPdf
Differentiability and Differentiation
- [Notes] DIFFERENTIABILITY - Mathematical DefinitionPdf
- [Notes] Differentiability - Geometric DefinitionPdf
- [Notes] How to Geometrically identify Non-Differentiability.pptxPdf
- [Notes] GATE CS 2016 - Set 2 - 1 Mark QuestionPdf
- [Notes] GATE CS 2014 - Set 1 - 2 Marks QuestionPdf
- [Notes] Rolle’s TheoremPdf
- [Notes] GATE CS 2014 – Set 1 – 1 Mark QuestionPdf
- [Notes] Lagrange's Mean Value TheoremPdf
- [Notes] Applications of Mean Value TheoremPdf
- [Notes] Cauchy’s Extended Mean Value TheoremPdf
Maxima and Minima
- [Notes] Stationary Point & Critical PointPdf
- [Notes] Maxima & MinimaPdf
- [Notes] Monotonic FunctionsPdf
- [Notes] How to Mathematically find Maxima & MinimaPdf
- [Notes] Finding Maxima & Minima (Practice Questions Set 1)Pdf
- [Notes] Finding Maxima & Minima (Practice Questions Set 2)Pdf
- [Notes] Finding Maxima & Minima (Practice Questions Set 3)Pdf
- [Notes] Finding Maxima & Minima (Practice Questions Set 4)Pdf
- [Notes] Finding Maxima & Minima (Practice Questions Set 5)Pdf
- [Notes] Finding Maxima & Minima (Practice Questions Set 6)Pdf
Integration
- [Notes] Integration & Indefinite IntegralsPdf
- [Notes] Definite IntegralsPdf
- [Notes] Properties of Definite IntegralsPdf
- [Notes] All Formulas of IntegrationPdf
- [Notes] Solving Integration- Substitution MethodPdf
- [Notes] Solving Integration- Partial Fractions MethodPdf
- [Notes] Complications in Partial Fractions MethodPdf
- [Notes] Solving Integration-Integration by Parts MethodPdf
- [Notes] GATE Question on Integration by Parts MethodPdf
- [Notes] GATE CS 2000 QuestionPdf
- [Notes] GATE CS 2009 QuestionPdf
- [Notes] GATE CS 2011 – 2 Marks QuestionPdf
- [Notes] GATE CS 2014 – Set 3 QuestionPdf
Numerical Methods
Previous-year questions
PYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions3 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions5 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions16 questionsPYQ collectionPYQ Questions3 questionsPYQ collectionPYQ Questions10 questionsPYQ collectionPYQ Questions32 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions38 questions
Explore the course
Previous moduleSection 2 | सामान्य ज्ञान एवं समसामयिकी / GK & Current AffairsNext moduleSection 3 | त्रिकोणमिति, सदिश एवं ज्यामिति / Trigonometry, Vectors & Geometry
- Section 1 | हिंदी भाषा — 22 प्रश्न (निश्चित)
- Section 1 | उर्दू भाषा — 22 प्रश्न (निश्चित)
- Section 1 | বাংলা / बांग्ला भाषा — 22 प्रश्न (निश्चित)
- Section 1 | English Language — 8 प्रश्न (निश्चित, अनिवार्य)
- Section 2 | गणित एवं तार्किक क्षमता / Mathematics & Reasoning (GS)
- Section 2 | बिहार विशेष / Bihar GK
- Section 2 | सामान्य विज्ञान / General Science (GS)
- Section 2 | सामान्य ज्ञान एवं समसामयिकी / GK & Current Affairs
- Section 3 | त्रिकोणमिति, सदिश एवं ज्यामिति / Trigonometry, Vectors & Geometry
- Section 3 | क्रमचय-संचय, प्रायिकता एवं सांख्यिकी / Combinatorics, Probability & Statistics
- Section 3 | समुच्चय, संबंध, फलन, तर्क एवं ग्राफ / Sets, Relations, Functions, Logic & Graphs
- Section 3 | रैखिक बीजगणित / Linear Algebra
- Section 3 | समीकरण सिद्धांत, अमूर्त बीजगणित एवं संख्या सिद्धांत / Theory of Equations, Abstract Algebra & Number Theory
- Section 3 | सम्मिश्र संख्याएँ एवं विश्लेषण / Complex Numbers & Analysis
- Section 3 | अवकल समीकरण एवं यांत्रिकी / Differential Equations & Mechanics
- Section 3 | अनुकूलन एवं संख्यात्मक विश्लेषण / Optimization & Numerical Analysis