Allen Career Institute Fundamentals of Mathematics 2021st Edition by Kota Rajasthan

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Author: Kota Rajasthan

a foundation-level textbook designed primarily for students preparing for competitive exams such as IIT-JEE and NEET. It emphasizes building a strong conceptual base in mathematics by covering essential topics—algebra, geometry, trigonometry, calculus, and number theory—through clear explanations, illustrative examples, and graded exercises. The book is structured to help students transition from school-level math to advanced problem-solving, focusing on logical thinking, speed, and accuracy. With Allen’s systematic approach, the text combines theoretical clarity with practice-oriented questions, making it an indispensable resource for aspirants aiming to strengthen their fundamentals and perform well in entrance examinations.

Allen Career Institute Fundamentals of Mathematics 2021st Edition Table of contents:

1. Algebra Fundamentals

• Basics of Expressions and Identities

• Linear & Quadratic Equations

• Variations and Functions

• Sequence & Series (Arithmetic & Geometric)

• Binomial Theorem, Permutations & Combinations

2. Advanced Algebra

• Complex Numbers

• Matrices & Determinants

• Logarithms and Their Applications

3. Coordinate Geometry

• Straight Line Basics

• Circles and Conic Sections (Parabola, Ellipse, Hyperbola)

4. Trigonometry

• Trigonometric Ratios and Identities

• Equations and Solutions

• Inverse Trigonometry Functions

5. Vector & 3-D Geometry

• Vector Basics and Operations

• Direction Cosines and Ratios

• Planes and Lines in 3-Dimensional Space

6. Calculus Overview

• Limits and Continuity

• Differentiation Techniques and Applications

• Integration Methods and Applications

7. Probability & Statistics

• Basic Probability Principles

• Conditional Probability and Distributions

• Permutations vs. Combinations in Problem Contexts

8. Revision and Practice Sets

• Topic-wise Practice Problems

• Mixed Sample Questions for Exam Readiness

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Tags: Kota Rajasthan, Allen Career Institute, Mathematics