About Course
 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.
 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.
 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.
 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.
 “Coordinate Geometry” by S.L. Loney.
 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.
 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.
 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.
Course Content
Basic Mathematics

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