Course module
Calculus and Optimization — GATE 2027 Data Science and Artificial Intelligence (DA) Complete Course
Explore the module outline and lessons below. Enroll free to begin studying here.
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- Lessons
- 56
- Duration
- —
- PYQs
- 19
- Practice
- 230
4% of this course's PYQ weight is covered in this module.
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
Functions
Bijective Function – Definition, Count, and Properties
Previous-year questions
PYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions3 questionsPYQ collectionPYQ Questions8 questionsPYQ collectionPYQ Questions3 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions18 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions19 questions
Explore the course
- Probability and Statistics
- Programming, Data Structures and Algorithms
- General Aptitude
- Linear Algebra
- Database Management and Warehousing
- Artificial Intelligence
- Machine Learning