Mathematics Crash Course & Test Series 2026

Conquer Mathematics with T&T Model

₹ 12711.86 ₹8000.0 + GST

Admission Start

26 May 2026

Course Start Date

03 Jun 2026

Course Access End Date

31 Aug 2026

Enroll Now

Course Details

Couse Deliverables:

Revision of Most Imp Topics
⁠PYQ Solving
Training on Writing Excellent Answers
Value added enriched content
Direct Mentorship by Toppers & Rankers
Personal Attention with a Customised Preparation Strategy
Direct Faculty Access for Doubt Resolution

Date	Day	Class Day	Topics	Sub Topics
03 Jun 2026	Wednesday	Day 1	Orientation, Introduction to vector Analysis
04 Jun 2026	Thursday	Day 2	Vector Analysis	Vector differential calculus: Scalar and vector fields; Limits, Continuity and differentiation of vector field of a scalar variable; Tangent Vector to a curve Application to geometry: Curves in space; Curvature and torsion; Serret-Frenet's formulae. Del, Gradient, Divergence and Curl. Vector identities and vector equations.
05 Jun 2026	Friday	Day 3	Curvilinear coordinates and Level Surfaces Vector integral Calculus	Integrations along the volume Green’s theorem and its applications Gauss-divergence theorem and its applications Stokes' theorems and its applications
08 Jun 2026	Monday	Day 4	Analytic Geometry	Introduction to coordinate systems and locus in three dimensions and direction cosines and direction ratios etc. Plane Straight lines
09 Jun 2026	Tuesday	Day 5	Sphere Cylinder
10 Jun 2026	Wednesday	Day 6	Cone
11 Jun 2026	Thursday	Day 7	Conicoid
12 Jun 2026	Friday	Day 8	Ordinary Differential Equations (ODE)	Formulation of differential equations. Equations of first order and first degree: Solution of Linear differential equations with constant coefficient and Euler-Cauchy equation and Legendre equation
15 Jun 2026	Monday	Day 9		Solution of second order linear equations with variable coefficients Equations of first order but not of first degree Clairaut's equation and reduction of Clairaut’s equation and Singular solution Orthogonal trajectory
16 Jun 2026	Tuesday	Day 10		Laplace and Inverse Laplace transforms and their properties; Laplace transforms of elementary functions Solution of initial value problems for 2nd order linear equations with constant coefficients by using Laplace transforms
17 Jun 2026	Wednesday	Day 11	Partial Differential Equations (PDE)	Family of surfaces in three dimensions and formulation of partial differential equations Solution of quasilinear partial differential equations of the first order Integral Surfaces (Solution Surfaces through given curve) Orthogonal Surfaces Linear partial differential equations of the second order with constant coefficients
18 Jun 2026	Thursday	Day 12		Solution of non-linear partial differential equations of the first order - Charpits Method Jacobi Method Cauchy's method of characteristics
19 Jun 2026	Friday	Day 13	Application of PDE
22 Jun 2026	Monday	Day 14	Linear Algebra	Vector spaces over Q, R and C and Subspaces Linear dependence and independence Basis and Dimension
23 Jun 2026	Tuesday	Day 15	Linear transformations
24 Jun 2026	Wednesday	Day 16		Algebra of Matrices, Row and column reduction, Echelon form, Rank of a matrix, Inverse of a matrix, Symmetric, Skew-symmetric, Hermitian, Skew-Hermitian, Orthogonal and unitary matrices Solution of system of linear equations Eigenvalues and eigenvectors and Cayley-Hamilton theorem Similarity of Matrices
25 Jun 2026	Thursday	Day 17	Modern Algebra	Groups Order of an element Permutation groups
26 Jun 2026	Friday	Day 18		Subgroups Cosets, Lagrange's Theorem Cyclic groups
29 Jun 2026	Monday	Day 19		Normal subgroups Quotient Group Homomorphism of groups
30 Jun 2026	Tuesday	Day 20		Rings, Integral domains and Fields Subrings and Characteristic of a ring Ideals, Principal ideal domains & Quotient Ring etc.
01 Jul 2026	Wednesday	Day 21	Homomorphisms of ring
02 Jul 2026	Thursday	Day 22	Euclidean domains, unique factorization domains
03 Jul 2026	Friday	Day 23	Statics	Basic Concepts and Principle of virtual work
04 Jul 2026	Saturday	Day 24	Test Paper 1	Part A
06 Jul 2026	Monday	Day 25	Common catenary
07 Jul 2026	Tuesday	Day 26		Stability of equilibrium Equilibrium of rigid bodies and Friction Equilibrium of a system of particles
08 Jul 2026	Wednesday	Day 27	Dynamics	Rectilinear motion Simple harmonic motion
09 Jul 2026	Thursday	Day 28		Motion in a plane,Projectiles Constrained motion
10 Jul 2026	Friday	Day 29	Fluid Dynamics	Equation of continuity, Stream-lines, path of a particle, Potential flow-I
11 Jul 2026	Saturday	Day 30	Test Paper 1	Part B
13 Jul 2026	Monday	Day 31	Sources and sinks-I
14 Jul 2026	Tuesday	Day 32	Vortex motion and Navier-Stokes equation for a viscous fluid
15 Jul 2026	Wednesday	Day 33	Euler's equation of motion for inviscid flow-I
16 Jul 2026	Thursday	Day 34		Moment of inertia Motion of rigid bodies in two dimensions Generalized coordinates and D' Alembert's principle
17 Jul 2026	Friday	Day 35		Lagrange's equations Hamilton equations
18 Jul 2026	Saturday	Day 36	Test Paper 2	Part B
20 Jul 2026	Monday	Day 37	Real Analysis & Calculus	Sequences of real numbers
21 Jul 2026	Tuesday	Day 38		Series of real numbers
22 Jul 2026	Wednesday	Day 39		Functions of single variables: Limits; Continuity and uniform continuity; Differentiability; Increasing and decreasing; Indeterminate forms; maxima and minima
23 Jul 2026	Thursday	Day 40		Mean value theorems
24 Jul 2026	Friday	Day 41		Point wise convergence Uniform convergence Continuity Differentiability and integrability
25 Jul 2026	Saturday	Day 42	Test Paper 2	Part A
27 Jul 2026	Monday	Day 43		Riemann integral and Fundamental theorems of integral calculus etc; Improper integrals
28 Jul 2026	Tuesday	Day 44	Calculus
29 Jul 2026	Wednesday	Day 45	Complex Analysis	Introduction to Complex variable functions: Limit, Continuity, Differentiability, Singular points Cauchy-Riemann equations, Construction of Analytic functions
30 Jul 2026	Thursday	Day 46		Complex integration Cauchy's theorem and its applications Taylor's series; Laurent's series and Singularities Cauchy's residue theorem
31 Jul 2026	Friday	Day 47	Contour integration; Miscellaneous
01 Aug 2026	Saturday	Day 48	Test Paper 1
03 Aug 2026	Monday	Day 49	LPP
04 Aug 2026	Tuesday	Day 50	LPP
05 Aug 2026	Wednesday	Day 51	Numerical Analysis
06 Aug 2026	Thursday	Day 52	Numerical Analysis
07 Aug 2026	Friday	Day 53	Computer programing
08 Aug 2026	Saturday	Day 54	Test Paper 2
12 Aug 2026	Wednesday	Day 55	Simulation Paper 1 +Paper 2

TEST:

8 Tests in total : 4 HLTs + 4 FLTs

Authors

Tanish Sir

Mathematics Optional Faculty - IIT BHU Alumni, Scored 300 marks in Maths Optional, Highest Scorer in Paper 1- 165 marks (2023 mains)