Basic Mathematics

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About Course

  1. Introduction to Basic Mathematics in Competitive Exams:
    • Importance and relevance of mathematics in exams like NEET, IIT, and NSEJS.
    • Overview of the key topics covered in the syllabus.
  2. Number Systems:
    • Integers, Rational and Irrational Numbers, Real Numbers, Complex Numbers.
    • Properties and operations.
    • References:
      • “NCERT Mathematics Textbooks for Class 9 to 12” for detailed understanding.
      • “Higher Algebra” by Hall & Knight for advanced practice.
  3. Algebra:
    • Polynomials, Quadratic Equations, Sequences and Series.
    • Factorization, Remainder and Factor Theorems.
    • Logarithms and Exponential Equations.
    • References:
      • “Higher Algebra” by Hall & Knight.
      • “Problems in Algebra” by V. Govorov, N. Miroshin, and S. Smirnova.
  4. Geometry:
    • Euclidean Geometry, Coordinate Geometry, Trigonometry.
    • Properties of Triangles, Circles, Quadrilaterals.
    • Mensuration: Areas, Volumes, Surface Areas.
    • References:
      • “NCERT Mathematics Textbooks for Class 9 to 12” for basics.
      • “Plane Trigonometry” by S.L. Loney.
      • “Co-ordinate Geometry” by S.L. Loney.
  5. Calculus:
    • Limits, Continuity, Differentiation, Integration.
    • Applications of Derivatives and Integrals.
    • References:
      • “Higher Algebra” by Hall & Knight for basic understanding.
      • “Calculus” by Thomas and Finney for advanced practice.
  6. Probability and Statistics:
    • Basic Probability Concepts, Permutations and Combinations.
    • Measures of Central Tendency and Dispersion.
    • References:
      • “Introduction to Probability” by Joseph K. Blitzstein and Jessica Hwang.
      • “Fundamentals of Mathematical Statistics” by S.C. Gupta and V.K. Kapoor.
  7. Tricks and Tips for Problem Solving:
    • Shortcut methods and techniques.
    • Previous years’ question papers analysis.
    • Mock test practice.
    • References:
      • “Arihant’s Handbook of Mathematics” for quick formulas and tips.
      • “30 Days Crash Course for NEET” by Arihant Experts.
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