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Presented by
Ravishankar
Iyer
ISC Class XII · Mathematics & Applied Mathematics
Academic Year 2026 – 27
ISC Mathematics
Applied Mathematics
Part I — Algebra & Functions
01
Relations
Types, properties & equivalence
● READY
›
02
Functions
Injective, surjective & bijective
● READY
›
03
Inverse Trigonometric Functions
Domain, range & identities
● READY
›
Part II — Algebra (Matrices & Determinants)
04 & 06
Matrices
Operations, transpose & inverses
● READY
05
Determinants
Properties, cofactors & applications
● READY
›
Part III — Calculus
08
Differentiation
First principles, chain rule, implicit & log diff.
● READY
07
Continuity & Differentiability
Chain rule, implicit & log diff.
◌ COMING SOON
09
Applications of Derivatives
Tangents, normals, rates of change & monotonicity
● READY
›
10
Maxima and Minima
Critical points, local & global extrema
◌ COMING SOON
11
Integrals
Indefinite & definite integration
◌ COMING SOON
12
Applications of Integrals
Areas under curves
◌ COMING SOON
13
Differential Equations
Order, degree & solutions
◌ COMING SOON
Part IV — Vectors & 3D Geometry
14
Vector Algebra
Addition, subtraction & scalar multiplication
◌ COMING SOON
15
Scalar (Dot) Product
Projection, work done & angle between vectors
◌ COMING SOON
16
Vector (Cross) Product
Area of triangle/parallelogram & moment
◌ COMING SOON
17
Three Dimensional Geometry
Lines, planes & angles in 3D
◌ COMING SOON
18
Basic Concepts of 3D Geometry
Direction cosines, direction ratios & angles
◌ COMING SOON
19
Straight Line in Space
Equation of line, skew lines & distance
◌ COMING SOON
20
The Plane
Equation of plane, angle between planes
◌ COMING SOON
Part V — Linear Programming & Probability
21
Linear Programming
Feasible region & optimisation
◌ COMING SOON
22
Probability
Classical & axiomatic probability
◌ COMING SOON
23
Bayes Theorem
Conditional probability & posterior probability
◌ COMING SOON
24
Probability Distribution
Binomial, Poisson & random variables
◌ COMING SOON
Part I — Algebra & Functions
01
Relations
Types, properties & equivalence
● READY
›
02
Functions
Injective, surjective & bijective
● READY
›
03
Inverse Trigonometric Functions
Domain, range & identities
● READY
›
04 & 06
Matrices
Operations, transpose & inverses
● READY
05
Determinants
Properties, cofactors & applications
● READY
›
Part II — Calculus
07
Differentiation
First principles, chain rule, implicit & log diff.
● READY
08
Application of Derivatives
Tangents, normals, rates of change & monotonicity
● READY
›
09
Maxima and Minima
Critical points, local & global extrema
◌ COMING SOON
10
Indefinite Integration
Standard forms & methods of integration
◌ COMING SOON
11
Special Integrals
Integration by parts & partial fractions
◌ COMING SOON
12
Definite Integrals
Properties & evaluation
◌ COMING SOON
13
Differential Equations
Order, degree & solutions
◌ COMING SOON
14
Application of Integrals
Area under curves
◌ COMING SOON
15
Application of Calculus in Commerce & Economics
Cost, revenue & marginal analysis
◌ COMING SOON
Part III — Probability & Statistics
16
Probability
Classical & axiomatic probability
◌ COMING SOON
17
Bayes Theorem
Conditional probability & posterior probability
◌ COMING SOON
18
Theoretical Probability Distribution
Binomial, Poisson & normal distributions
◌ COMING SOON
Part IV — Linear Programming
19
Linear Programming
Diet, transportation & manufacturing problems
◌ COMING SOON
Part V — Financial Mathematics & Statistics
20
Financial Mathematics
Annuities, EMI & sinking funds
◌ COMING SOON
21
Index Numbers
Price indices & construction
◌ COMING SOON
22
Moving Averages
Time series & trend analysis
◌ COMING SOON