Course module
अवकल और समाकल गणित / Differential and Integral Calculus — UPESSC PGT (प्रवक्ता) Mathematics 2026
Limits, differentiation, maxima-minima और integration की विषयगत तैयारी; vector calculus का नया duplicate home नहीं। / Differential and integral calculus with existing topic extensions only.
Explore the module outline and lessons below. Enroll free to begin studying here.
Return to /learn/UPESSC-PGT-2026-MATHEMATICS/math-calculus after enrolling
- Lessons
- 55
- Duration
- —
- PYQs
- 0
- Practice
- 139
Syllabus index
Lessons in this module
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
Explore the course
Previous moduleअनुक्रम, श्रेणी और वास्तविक विश्लेषण / Sequences, Series and Real AnalysisNext moduleअवकल समीकरण / Differential Equations
- समुच्चय, रैखिक और अमूर्त बीजगणित / Sets, Linear and Abstract Algebra
- अनुक्रम, श्रेणी और वास्तविक विश्लेषण / Sequences, Series and Real Analysis
- अवकल समीकरण / Differential Equations
- सम्मिश्र संख्याएँ और त्रिकोणमिति / Complex Numbers and Trigonometry
- निर्देशांक, सदिश और त्रिविमीय ज्यामिति / Coordinate, Vector and 3D Geometry
- क्रमचय, प्रायिकता और सांख्यिकी / Combinatorics, Probability and Statistics
- स्थैतिकी, गतिकी और द्रव यांत्रिकी / Statics, Dynamics and Fluid Mechanics
- सामान्य ज्ञान / General Knowledge — 30 प्रश्न (निश्चित)