foundation
Sem 1 Math Major
NBU Syllabus, Calculus, Geometry, Classical Algebra and Matrix Theory
S
Instructor
Samir Ch Mandal
26 Lessons
1 Year Access
Certificate
Structured Learning Path
Course Curriculum & Modules
16 Modules 26 Lessons 0 mins 1 Free Previews
2D Geometry
6 itemsPair of Straight Lines
2 itemsPair of Straight Lines
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Solved Questions and Answers
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Solved Questions from Circles [Optional]
1 itemSolved Questions
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Parabola [Optional]
2 itemsTheory of Parabola
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Solved Questions from Parabola
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Ellipse and Hyperbola [Optional]
2 itemsTheory of Ellipse and Hyperbola [Optional]
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Solved Questions from Ellipse and Hyperbola
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Transformation of Coordinate axes and Canonical Form
3 itemsTransformation of Axes
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Canonical form table
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Solved Questions from Canonical Form
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Equations in Polar Coordinates
3 itemsEquation of Straight lines and Circles in polar coordinates
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Equation of Conic sections, tangents, normal and chord of contact in polar coordinates
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Solved Questions from Polar Coordinates
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3D Geometry
1 itemtest
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Calculus
1 itemReduction Formula
4 items1. Foundations of Reduction Formulae
Concept, strategy, notation, and derivation of standard reduction formulae using integration by parts.
2. Trigonometric Reduction Formulae
Complete derivations and applications for powers of sine, cosine, secant, and tangent, including definite integrals.
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3. Logarithmic and Mixed Trigonometric Reduction Formulae
Derivations for powers of logarithms and products of powers of sine and cosine, with parity-based strategies and worked examples.
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4. Reduction Formulae: Practice Quiz & Checkpoint Test
Exam-oriented checkpoint covering derivations, recurrence application, base cases, definite integrals, and mixed trigonometric powers.
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Classical Algebra
1 itemBooks
1 itemS K Mapa, Classical Algebra
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Matrix Theory
3 itemsBooks
1 itemS K Mapa, Linear Algebra
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Matrices, row operations, normal forms
3 itemsTheory Part
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Solved Problems
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Exercise
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Eigenvalues and Eigenvectors
3 itemsTheory of Eigenvalues and Eigenvectors
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Solved Problems
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Exercise
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