Course module
Engineering MathematicsEngineering Mathematics for GATE Exam
- Lessons
- 137
- Duration
- 23 hr 44 min
- PYQs
- 311
- Practice
- 1052
100% of this course's PYQ weight is covered in this module.
Syllabus index
Lessons in this module
Linear Algebra
Matrix and Vectors - Definition and Types
- Introduction to Matrix & VectorsDrm Video
- Dot Product of VectorsDrm Video
- Types of MatricesDrm Video
- Special Matrices : Orthogonal MatrixDrm Video
- Special Matrices : Idempotent MatrixDrm Video
- Special Matrices : Involutary MatrixDrm Video
- Special Matrices : Nilpotent MatrixDrm Video
- Equality of MatricesDrm Video
Matrix Addition and Multiplication
Transpose of a Matrix
Elementary Row and Column Operations
Determinant of a Matrix
Adjoint and Inverse of a Matrix
Rank of a Matrix
System of Linear Equations
- System of Linear EquationsDrm Video
- Solution SetDrm Video
- Under-determined & Over-determined SystemDrm Video
- Independence of System of Linear EquationsDrm Video
- Consistent System of EquationsDrm Video
- Elimination of Variables (Solving System of Linear Equation)Drm Video
- Echelon Form - Gauss Elimination Method (Solving Equations)Drm Video
- Diagonal Matrix- Gauss Elimination Method- Solving EquationsDrm Video
- Shortcut Tricks for Solving System of Linear EquationDrm Video
- Cramer's Rule (Solving System of Linear Equation)Drm Video
- Matrix Solution (Solving System of Linear Equation)Drm Video
- Homogeneous System of Linear EquationsDrm Video
Trace of a Matrix
Eigen Values and Eigen Vectors
Calculus
Limits
- Introduction to LimitsDrm Video
- Important Properties of LimitsDrm Video
- Indeterminate FormsDrm Video
- Non-Indeterminate FormsDrm Video
- Solving Limits : Substitution MethodDrm Video
- Solving Limits: Tabular & Approximation MethodDrm Video
- Solving Limits: Factorization MethodDrm Video
- Solving Limits: Expansion MethodDrm Video
- Solving Limits: L Hopital's RuleDrm Video
- Questions on L Hopital's Rule (Part 1)Drm Video
- Questions on L Hopital's Rule (Part 2)Drm Video
- Proof of L Hopital's RuleDrm Video
- Some Notable Special LimitsDrm Video
Continuity
- continuityDrm Video
- Continuity in intervalsDrm Video
- Properties of Continuous FunctionsDrm Video
- Let's Solve Questions on ContinuityDrm Video
- Types of DiscontinuityDrm Video
- Gate CS 2013 - 1 Mark QuestionDrm Video
- Gate CS 2015 - Set 2 - 1 Mark QuestionDrm Video
- Gate CS 2014 - Set 1 - 2 Marks QuestionDrm Video
Differentiability and Differentiation
- Differentiation Rules & FormulasDrm Video
- DIFFERENTIABILITY - Mathematical DefinitionDrm Video
- Differentiability - Geometric DefinitionDrm Video
- How to Geometrically identify Non-Differentiability?Drm Video
- GATE CS 2016 - Set 2 - 1 Mark QuestionDrm Video
- GATE CS 2014 - Set 1 - 2 Marks QuestionDrm Video
- Rolle’s TheoremDrm Video
- GATE CS 2014 – Set 1 – 1 Mark QuestionDrm Video
- Lagrange's Mean Value TheoremDrm Video
- Applications of Mean Value TheoremDrm Video
- Cauchy’s Extended Mean Value TheoremDrm Video
Maxima and Minima
- Stationary Point & Critical PointDrm Video
- Maxima & MinimaDrm Video
- Monotonic FunctionsDrm Video
- How to Mathematically find Maxima & Minima?Drm Video
- Finding Maxima & Minima (Practice Questions Set 1)Drm Video
- Finding Maxima & Minima (Practice Questions Set 2)Drm Video
- Finding Maxima & Minima (Practice Questions Set 3)Drm Video
- Finding Maxima & Minima (Practice Questions Set 4)Drm Video
- Finding Maxima & Minima (Practice Questions Set 5)Drm Video
- Finding Maxima & Minima (Practice Questions Set 6)Drm Video
Integration
- Integration & Indefinite IntegralsDrm Video
- Definite IntegralsDrm Video
- Properties of Definite IntegralsDrm Video
- All Formulas of IntegrationDrm Video
- Solving Integration: Substitution MethodDrm Video
- Solving Integration: Partial Fractions MethodDrm Video
- Complications in Partial Fractions MethodDrm Video
- Solving Integration: Integration by Parts MethodDrm Video
- GATE Question on Integration by Parts MethodDrm Video
- GATE CS 2000 QuestionDrm Video
- GATE CS 2009 QuestionDrm Video
- GATE CS 2011 – 2 Marks QuestionDrm Video
- GATE CS 2014 – Set 3 QuestionDrm Video
Permutation and Combination
Permutations (with & without Repetition)
- Permutations with Limited RepetitionsDrm Video
- Tricks to Solve The Famous MISSISSIPPI Problem in P&CDrm Video
- Vowels & Consonants Type Questions in P&CDrm Video
- Tricks to Solve Questions on Arrangement of LettersDrm Video
- Tricks to Solve Questions on Arrangement of Digits (1)Drm Video
- Tricks to Solve Questions on Arrangement of Digits (2)Drm Video
Circular & Grouping Permutations
Combinations (with & without Repetition)
Special Applied Problems
- Tricks to Solve Questions on Binary StringsDrm Video
- Trick for Sum of all numbers formed from given digitsDrm Video
- Finding Rank of a Word (Concept + Short Trick)Drm Video
- Question on Finding Rank of a Word Without RepetitionDrm Video
- Short Trick to Find Rank of a Word With RepetitionsDrm Video
- Short Trick to Find Number of HandshakesDrm Video
- Chocolate Picking ProblemDrm Video
- Counting Sticks ApproachDrm Video
- Short Tricks to Solve Dice Sum Problem (1)Drm Video
- Short Tricks to Solve Dice Sum Problem (2)Drm Video
- Conventional Method of Solving Dice Sum ProblemDrm Video
- Short Tricks for Alphabet Selection Problem in P&CDrm Video
Probability
Basic Concepts and Terminology
- What is Experiment, Event, Favorable & Total OutcomeDrm Video
- What is Sure Event, Impossible Event, Complementary EventDrm Video
- Short Trick to find total outcomes in an experimentDrm Video
- Mutually Exclusive Events & Exhaustive EventsDrm Video
- Odds in Favour of an event & Odds Against An EventDrm Video
Classical Problems (Cards, Dice, Coins, Digits, Number, Objects)
Probability Using Venn Diagrams & Set Theory
Statistics
Introduction & Types of Data
Mean, Median, and Mode for grouped data
Previous-year questions
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