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SYLLABUS
Unit–1: Commercial Mathematics
Goods and Services Tax (GST) – Intra-state tax – Inter-state tax – Input tax credit – Consumer invoices – Banking – Recurring Deposits (RD) – Interest calculation – Maturity value.
Unit–2: Algebra
Linear inequations – Solution of inequations – Graphical representation – Quadratic equations – Factorization method – Quadratic formula – Nature of roots – Ratio and proportion – Componendo – Dividendo – Alternendo – Continued proportion – Remainder theorem – Factor theorem – Polynomial factorization – Matrices – Types of matrices – Matrix operations – Arithmetic progression – Geometric progression – nth term – Sum of series.
Unit–3: Coordinate Geometry
Reflection of points – Distance formula – Section formula – Midpoint theorem – Equation of lines.
Unit–4: Geometry
Similarity of triangles – Locus – Circle theorems – Cyclic quadrilaterals – Tangents – Intersecting chords.
Unit–5: Mensuration
Surface area of solids – Volume of solids – Cylinders – Cones – Spheres – Combination of solids.
Unit–6: Trigonometry
Trigonometric identities – Heights and distances – Applications of trigonometry.
Unit–7: Statistics and Probability
Mean – Median – Mode – Ogives – Cumulative frequency curves – Probability concepts and applications.
• Practicing problem sets and solutions regularly to build muscle memory.
• Focusing on understanding the underlying core concepts and formulas clearly rather than just memorizing them.
• Solving additional challenge exercises to test their boundaries.
• Maintaining a positive, growth-oriented attitude toward learning math.
