Basics Of Mathematics

🧠How to Be a Math Expert : Step By Step

🎯 Goal:

To develop complete mathematical proficiency from basics to advanced problem-solving, including theoretical understanding, speed calculation, logical reasoning, and application in real-world and competitive scenarios.

📘 Step 1: Foundation of Mathematics (Beginner Level)

Objective: Build strong basics in arithmetic, number sense, and pattern recognition.

Topics:

  • Number Systems (Natural, Whole, Integers, Rational, Irrational, Real) ________Click For 7 Days Practice Set
  • Place Value & Face Value ________Click For 7 Days Practice Set
  • Factors and Multiples (HCF & LCM) ________Click For 7 Days Practice Set
  • BODMAS and PEMDAS ________Click For 7 Days Practice Set
  • Fractions, Decimals, and Percentages ________Click For 7 Days Practice Set
  • Ratio & Proportion ________Click For 7 Days Practice Set
  • Averages and Simple Problems ________Click For 7 Days Practice Set
  • Basic Geometry Concepts (Lines, Angles, Shapes) ________Click For 7 Days Practice Set

📗 Step 2: Core Arithmetic & Algebra (Intermediate Level)

Objective: Master operations, equations, and algebraic manipulation.

Topics:

  • Algebraic Identities and Factorization ________Click For Solved Examples Click For MCQ Practice
  • Linear Equations in One and Two Variables ________Click For 7 Days Practice Set
  • Word Problems & Translating Math Language ________Click For 7 Days Practice Set
  • Exponents and Powers ________Click For 7 Days Practice Set
  • Speed, Time & Distance ________Click For 7 Days Practice Set
  • Time & Work ________Click For 7 Days Practice Set
  • Profit, Loss & Discount ________Click For 7 Days Practice Set
  • Introduction to Quadratic Equations ________Click For 7 Days Practice Set

📙 Step 3: Geometry, Mensuration, and Data (Intermediate Level)

Objective: Understand space, shapes, and measurable quantities.

Topics:

  • Triangles: Types, Properties, Congruence, and Pythagoras ________Click For 7 Days Practice Set
  • Circles: Chords, Tangents, Arcs ________Click For 7 Days Practice Set
  • Quadrilaterals and Polygons ________Click For 7 Days Practice Set
  • Perimeter, Area, Volume (2D & 3D figures) ________Click For 7 Days Practice Set
  • Coordinate Geometry Basics ________Click For 7 Days Practice Set
  • Introduction to Statistics: Mean, Median, Mode ________Click For 7 Days Practice Set
  • Basic Probability ________Click For 7 Days Practice Set

📕 Step 4: Advanced Algebra & Functions (Advanced Level)

Objective: Develop abstract reasoning through higher algebra.

Topics:

  • Polynomials and Their Roots ________Click For 7 Days Practice Set
  • Quadratic and Cubic Equations ________Click For 7 Days Practice Set
  • Inequalities ________Click For 7 Days Practice Set
  • Functions and Graphs ________Click For 7 Days Practice Set
  • Sequences and Series (AP, GP, HP) ________Click For 7 Days Practice Set
  • Logarithms ________Click For 7 Days Practice Set
  • Complex Numbers ________Click For 7 Days Practice Set
  • Sets, Relations, and Functions ________Click For 7 Days Practice Set

📓 Step 5: Calculus & Its Applications

Objective: Learn foundational calculus and its real-world use.

Topics:

  • Limits and Continuity ________Click For 7 Days Practice Set
  • Differentiation: Rules & Applications ________Click For 7 Days Practice Set
  • Integration: Techniques & Applications ________Click For 7 Days Practice Set
  • Maxima and Minima ________Click For 7 Days Practice Set
  • Area Under Curves ________Click For 7 Days Practice Set
  • Differential Equations (Basics) ________Click For 7 Days Practice Set

📒 Step 6: Logical & Analytical Reasoning (For Olympiads & Aptitude)

Objective: Enhance problem-solving and logical deduction.

Topics:

  • Number Puzzles ________Click For 7 Days Practice Set
  • Venn Diagrams ________Click For 7 Days Practice Set
  • Syllogisms ________Click For 7 Days Practice Set
  • Coding-Decoding ________Click For 7 Days Practice Set
  • Series & Pattern Recognition ________Click For 7 Days Practice Set
  • Assertion-Reason & Data Sufficiency ________Click For 7 Days Practice Set
  • Mathematical Reasoning (Statements & Proofs) ________Click For 7 Days Practice Set

📂 Step 7: Real-Life Applications & Competitions

Objective: Apply math to science, tech, finance, and competitive exams.

Topics:

  • Math in Physics & Engineering (Vectors, Units, Conversions) ________Click For 7 Days Practice Set
  • Financial Math (EMI, Tax, SI-CI) Math in Physics & Engineering (Vectors, Units, Conversions) ________Click For 7 Days Practice Set
  • Math for Coding & Algorithms Math in Physics & Engineering (Vectors, Units, Conversions) ________Click For 7 Days Practice Set
  • Math in Data Science and AI (Intro to Matrix Algebra, Probability) Math in Physics & Engineering (Vectors, Units, Conversions) ________Click For 7 Days Practice Set
  • Competitive Exam Prep (CAT, GRE, SSC, NTSE, IMO, etc.) Math in Physics & Engineering (Vectors, Units, Conversions) ________Click For 7 Days Practice Set