Maths
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- Curriculum
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Maths
-
1
Calculus(a) Differentiation
- Derivatives of functions (polynomial, trigonometric, exponential, logarithmic)
- Chain rule, product rule, quotient rule
- Implicit differentiation
- Application of derivatives: increasing & decreasing functions, maxima & minima, tangent & normal
(b) Integration
- Indefinite integrals (basic formulas, substitution, partial fractions, by parts)
- Definite integrals & properties
- Area under curves
- Differential equations (formation, general & particular solutions)
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2
Algebra
(a) Matrices and Determinants
- Matrix operations (addition, multiplication, inverse)
- Properties of determinants
- Solving systems of equations using Cramer’s Rule & Matrix Inversion Method
(b) Vectors and 3D Geometry
- Vector addition, scalar & vector product
- Equation of a line, plane, and their intersection
- Direction cosines & direction ratios
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Course details
Lectures
2
Level
Intermediate
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