Weekly outline
- General
- FULL LENGTH MOCK TEST BASED ON IIT JAM PATTERN
FULL LENGTH MOCK TEST BASED ON IIT JAM PATTERN
- INTEGRAL CALCULUS
INTEGRAL CALCULUS
video lectures
DOUBLE INTEGRAL
- Introduction to Double Integrals URL
- Change of Order URL
- Transformation of Variables URL
BETA AND GAMMA FUNCTION
- Beta and Gamma Function URL
- Dirichlet Theorem URL
volume
- Introduction and Problems on Volume Calculation URL
- Calculating Volumes Using Polar Coordinates URL
- centre of mass URL
- Moment of Inertia URL
- Volume of the Region Bounded by Surface of Revolution URL
SURFACE AREA
- Surface Area URL
QUIZ
- VECTOR CALCULUS
VECTOR CALCULUS
video lectures
GRADIENT, DIVERGENCE AND CURL
- Gradient URL
- Tangent Plane and Normal URL
- Problems on Gradient URL
- Divergence and Curl
LINE INTEGRAL
- Line Integral URL
GREENS , GAUSS DIVERGENCE AND STOKES THEOREM
- Greens Theorem URL
- Surface Integral URL
- Gauss Divergence Theorem URL
- Stokes Theorem URL
- Conservative Vector Field URL
QUIZ
- DIFFERENTIAL CALCULUS
DIFFERENTIAL CALCULUS
video lectures
- Introduction to Limits URL
- Methods of Finding Limits URL
- Continuity URL
- Differentiability URL
- Monotonicity URL
- Critical Points URL
- Maxima and Minima URL
- Rolle Theorem URL
- Lagrange Mean Value Theorem URL
- Taylors Theorem URL
- Function of Two Variables URL
- Maxima and Minima of Function of Several Variables URL
QUIZ
- DIFFERENTIAL EQUATIONS
DIFFERENTIAL EQUATIONS
video lectures
- Introduction to Differential Equations URL
- Differential Equation of First order and First Degree URL
- Orthogonal Trajectory URL
- Differential Equation with Constant Coefficient URL
- Homogeneous Linear Differential Equation URL
- Differential Equation of Second Order URL
QUIZ
- LINEAR ALGEBRA
LINEAR ALGEBRA
- Introduction to Matrices URL
- Rank of Matrix URL
- Linear Equations URL
- Revision of Matrices URL
- Determinant URL
- Vector Spaces URL
- Linear Equations – Vector Space Approach URL
- Basis and Dimensions URL
- Change of Basis URL
- Orthogonality URL
- Introduction to Eigenvalues and Eigenvectors URL
- Diagonalisation of Matrices and its Applications URL
- Properties of Eigenvalues URL
- Symmetric Matrices URL
- Cayley Hamilton Equation URL
- Similar Matrices URL
- Introduction to Linear Transformation URL
- Matrix of Linear Transformation URL
QUIZ
- GROUP THEORY
GROUP THEORY
video lectures
- Defining Groups URL
- Modulo Arithmetic URL
- Cayley Table URL
- Unit Group URL
- Group of Matrices URL
- Dihedral Groups URL
- Subgroup URL
- Problems on Groups URL
- Cyclic Groups URL
- Permutation Group URL
- Isomorphism of Groups URL
- External Direct Product URL
- Homomorphism of Groups URL
QUIZ
- REAL ANALYSIS
REAL ANALYSIS
video lectures
- Set Theory URL
- Relation and Functions URL
- Countability of Sets URL
- Real Numbers URL
- Metric Space URL
- Open Sets URL
- Closed Sets URL
- Limit Points URL
- Compactness and Connectedness URL
- Introduction to Real Sequences URL
- Monotonic Sequence URL
- Cauchy Theorems on Limits URL
- Limit Points URL
- Subsequence URL
- Cauchy Sequence URL
- Introduction to Infinite Series URL
- Test of Convergence of Infinite Series URL
- Alternating Series URL
- Power Series URL
QUIZ
