Course module

Engineering MathsAPTITUDE for GATE Exam

Lessons
279
Duration
25 hr 19 min
PYQs
218
Practice
1042

55% of this course's PYQ weight is covered in this module.

Syllabus index

Lessons in this module

Linear Algebra

System of Linear Equations

  1. System of Linear EquationsDrm Video
  2. [Notes] System of Linear EquationsPdf
  3. Solution SetDrm Video
  4. [Notes] Solution SetPdf
  5. Under-determined & Over-determined SystemDrm Video
  6. [Notes] Under-determined & Over-determined SystemPdf
  7. Independence of System of Linear EquationsDrm Video
  8. [Notes] Independence of System of Linear EquationsPdf
  9. Consistent System of EquationsDrm Video
  10. [Notes] Consistent System of EquationsPdf
  11. Elimination of Variables (Solving System of Linear Equation)Drm Video
  12. [Notes] Elimination of Variables (Solving System of Linear Equation)Pdf
  13. Echelon Form - Gauss Elimination Method (Solving Equations)Drm Video
  14. [Notes] Echelon Form - Gauss Elimination Method (Solving Equations)Pdf
  15. Diagonal Matrix- Gauss Elimination Method- Solving EquationsDrm Video
  16. [Notes] Diagonal Matrix - Gauss Elimination Method-Solving EquationsPdf
  17. Shortcut Tricks for Solving System of Linear EquationDrm Video
  18. [Notes] Shortcut Tricks for Solving System of Linear EquationsPdf
  19. Cramer's Rule (Solving System of Linear Equation)Drm Video
  20. [Notes] Cramer's Rule (Solving System of Linear Equation)Pdf
  21. Matrix Solution (Solving System of Linear Equation)Drm Video
  22. [Notes] Matrix Solution (Solving System of Linear Equations)Pdf
  23. Homogeneous System of Linear EquationsDrm Video
  24. [Notes] Homogeneous System of Linear EquationsPdf

Calculus

Limits

  1. Introduction to LimitsDrm Video
  2. [Notes] Introduction to LimitsPdf
  3. Important Properties of LimitsDrm Video
  4. [Notes] Important Properties of LimitsPdf
  5. Indeterminate FormsDrm Video
  6. [Notes] Indeterminate FormsPdf
  7. Non-Indeterminate FormsDrm Video
  8. Non-Indeterminate FormsPdf
  9. Solving Limits : Substitution MethodDrm Video
  10. [Notes] Solving Limits-Substitution MethodPdf
  11. Solving Limits: Tabular & Approximation MethodDrm Video
  12. [Notes] Solving Limits-Tabular & Approximation MethodPdf
  13. Solving Limits: Factorization MethodDrm Video
  14. [Notes] Solving Limits-Factorization MethodPdf
  15. Solving Limits: Expansion MethodDrm Video
  16. [Notes] Solving Limits-Expansion MethodPdf
  17. Solving Limits: L Hopital's RuleDrm Video
  18. [Notes] Solving Limits-L Hopital's RulePdf
  19. Questions on L Hopital's Rule (Part 1)Drm Video
  20. [Notes] Questions on L Hopital's Rule (Part 1)Pdf
  21. Questions on L Hopital's Rule (Part 2)Drm Video
  22. [Notes] Questions on L Hopital's Rule (Part 2)Pdf
  23. Proof of L Hopital's RuleDrm Video
  24. [Notes] Proof of L Hopital's RulePdf
  25. Some Notable Special LimitsDrm Video
  26. [Notes] Some Notable Special LimitsPdf

Differentiability and Differentiation

  1. Differentiation Rules & FormulasDrm Video
  2. DIFFERENTIABILITY - Mathematical DefinitionDrm Video
  3. [Notes] DIFFERENTIABILITY - Mathematical DefinitionPdf
  4. Differentiability - Geometric DefinitionDrm Video
  5. [Notes] Differentiability - Geometric DefinitionPdf
  6. How to Geometrically identify Non-Differentiability?Drm Video
  7. [Notes] How to Geometrically identify Non-Differentiability.pptxPdf
  8. GATE CS 2016 - Set 2 - 1 Mark QuestionDrm Video
  9. [Notes] GATE CS 2016 - Set 2 - 1 Mark QuestionPdf
  10. GATE CS 2014 - Set 1 - 2 Marks QuestionDrm Video
  11. [Notes] GATE CS 2014 - Set 1 - 2 Marks QuestionPdf
  12. Rolle’s TheoremDrm Video
  13. [Notes] Rolle’s TheoremPdf
  14. GATE CS 2014 – Set 1 – 1 Mark QuestionDrm Video
  15. [Notes] GATE CS 2014 – Set 1 – 1 Mark QuestionPdf
  16. Lagrange's Mean Value TheoremDrm Video
  17. [Notes] Lagrange's Mean Value TheoremPdf
  18. Applications of Mean Value TheoremDrm Video
  19. [Notes] Applications of Mean Value TheoremPdf
  20. Cauchy’s Extended Mean Value TheoremDrm Video
  21. [Notes] Cauchy’s Extended Mean Value TheoremPdf

Maxima and Minima

  1. Stationary Point & Critical PointDrm Video
  2. [Notes] Stationary Point & Critical PointPdf
  3. Maxima & MinimaDrm Video
  4. [Notes] Maxima & MinimaPdf
  5. Monotonic FunctionsDrm Video
  6. [Notes] Monotonic FunctionsPdf
  7. How to Mathematically find Maxima & Minima?Drm Video
  8. [Notes] How to Mathematically find Maxima & MinimaPdf
  9. Finding Maxima & Minima (Practice Questions Set 1)Drm Video
  10. [Notes] Finding Maxima & Minima (Practice Questions Set 1)Pdf
  11. Finding Maxima & Minima (Practice Questions Set 2)Drm Video
  12. [Notes] Finding Maxima & Minima (Practice Questions Set 2)Pdf
  13. Finding Maxima & Minima (Practice Questions Set 3)Drm Video
  14. [Notes] Finding Maxima & Minima (Practice Questions Set 3)Pdf
  15. Finding Maxima & Minima (Practice Questions Set 4)Drm Video
  16. [Notes] Finding Maxima & Minima (Practice Questions Set 4)Pdf
  17. Finding Maxima & Minima (Practice Questions Set 5)Drm Video
  18. [Notes] Finding Maxima & Minima (Practice Questions Set 5)Pdf
  19. Finding Maxima & Minima (Practice Questions Set 6)Drm Video
  20. [Notes] Finding Maxima & Minima (Practice Questions Set 6)Pdf

Integration

  1. Integration & Indefinite IntegralsDrm Video
  2. [Notes] Integration & Indefinite IntegralsPdf
  3. Definite IntegralsDrm Video
  4. [Notes] Definite IntegralsPdf
  5. Properties of Definite IntegralsDrm Video
  6. [Notes] Properties of Definite IntegralsPdf
  7. All Formulas of IntegrationDrm Video
  8. [Notes] All Formulas of IntegrationPdf
  9. Solving Integration: Substitution MethodDrm Video
  10. [Notes] Solving Integration- Substitution MethodPdf
  11. Solving Integration: Partial Fractions MethodDrm Video
  12. [Notes] Solving Integration- Partial Fractions MethodPdf
  13. Complications in Partial Fractions MethodDrm Video
  14. [Notes] Complications in Partial Fractions MethodPdf
  15. Solving Integration: Integration by Parts MethodDrm Video
  16. [Notes] Solving Integration-Integration by Parts MethodPdf
  17. GATE Question on Integration by Parts MethodDrm Video
  18. [Notes] GATE Question on Integration by Parts MethodPdf
  19. GATE CS 2000 QuestionDrm Video
  20. [Notes] GATE CS 2000 QuestionPdf
  21. GATE CS 2009 QuestionDrm Video
  22. [Notes] GATE CS 2009 QuestionPdf
  23. GATE CS 2011 – 2 Marks QuestionDrm Video
  24. [Notes] GATE CS 2011 – 2 Marks QuestionPdf
  25. GATE CS 2014 – Set 3 QuestionDrm Video
  26. [Notes] GATE CS 2014 – Set 3 QuestionPdf

Permutation and Combination

Permutations (with & without Repetition)

  1. Demo: Permutations with No RepetitionStandard Video
  2. [Notes] Permutations with No RepetitionPdf
  3. Demo: Permutations with Unlimited RepetitionsStandard Video
  4. [Notes] Permutations with Unlimited RepetitionsPdf
  5. Permutations with Limited RepetitionsDrm Video
  6. [Notes] Permutations with Limited RepetitionsPdf
  7. Tricks to Solve The Famous MISSISSIPPI Problem in P&CDrm Video
  8. [Notes] Tricks to Solve The Famous MISSISSIPPI Problem in P&CPdf
  9. Vowels & Consonants Type Questions in P&CDrm Video
  10. [Notes] Vowels & Consonants Type Questions in P&CPdf
  11. Tricks to Solve Questions on Arrangement of LettersDrm Video
  12. [Notes] Tricks to Solve Questions on Arrangement of LettersPdf
  13. Tricks to Solve Questions on Arrangement of Digits (1)Drm Video
  14. [Notes] Tricks to Solve Questions on Arrangement of Digits (1)Pdf
  15. Tricks to Solve Questions on Arrangement of Digits (2)Drm Video
  16. [Notes] Tricks to Solve Questions on Arrangement of Digits (2)Pdf

Special Applied Problems

  1. Tricks to Solve Questions on Binary StringsDrm Video
  2. [Notes] Tricks to Solve Questions on Binary StringsPdf
  3. Trick for Sum of all numbers formed from given digitsDrm Video
  4. [Notes] Trick for Sum of all numbers formed from given digitsPdf
  5. Finding Rank of a Word (Concept + Short Trick)Drm Video
  6. [Notes] Finding Rank of a Word (Concept + Short Trick)Pdf
  7. Question on Finding Rank of a Word Without RepetitionDrm Video
  8. [Notes] Question on Finding Rank of a Word Without RepetitionPdf
  9. Short Trick to Find Rank of a Word With RepetitionsDrm Video
  10. [Notes] Short Trick to Find Rank of a Word With RepetitionsPdf
  11. Short Trick to Find Number of HandshakesDrm Video
  12. [Notes] Short Trick to Find Number of HandshakesPdf
  13. Chocolate Picking ProblemDrm Video
  14. [Notes] Chocolate Picking ProblemPdf
  15. Counting Sticks ApproachDrm Video
  16. [Notes] Counting Sticks ApproachPdf
  17. Short Tricks to Solve Dice Sum Problem (1)Drm Video
  18. [Notes] Short Tricks to Solve Dice Sum Problem (1)Pdf
  19. Short Tricks to Solve Dice Sum Problem (2)Drm Video
  20. [Notes] Short Tricks to Solve Dice Sum Problem (2)Pdf
  21. Conventional Method of Solving Dice Sum ProblemDrm Video
  22. [Notes] Conventional Method of Solving Dice Sum ProblemPdf
  23. Short Tricks for Alphabet Selection Problem in P&CDrm Video
  24. [Notes] Short Tricks for Alphabet Selection Problem in P&CPdf

Probability

Statistics

Mean, Median, and Mode for grouped data

  1. Advance ConceptsDrm Video
  2. [Notes] Advance ConceptsPdf

Previous-year questions

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