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I come with a deep academic foundation in Mathematics, strengthened through my studies at ARSD College, University of Delhi, where I earned a Certificate of Merit for academic excellence. My journey through pure and applied mathematics—spanning calculus, algebra, infinite series, probability, and geometric reasoning—has shaped both my understanding and my teaching philosophy. Alongside academics, I have pursued independent mathematical research, including work on a novel infinite-series–based formulation, reflecting my commitment to mathematical inquiry and creative problem-solving. I have taught CUET Mathematics at Career Power, Mukherjee Nagar, guiding students through algebra, calculus, trigonometry, and logical reasoning with clarity and discipline. My methodology is structured and stepwise—rooted firmly in fundamentals yet enriched by analytical depth. I emphasize clarity before speed, confidence before complexity, and disciplined practice as the steady path to mastery. My sessions blend the timeless strength of traditional mathematical teaching with forward-thinking techniques, ensuring that students build strong conceptual foundations for Class 12 Boards, CUET, and JEE.
I am Shivam Dagur, a mathematics enthusiast driven by a deep love for numbers, patterns, and disciplined learning. My interest spans from pure and applied mathematics to competitive exam reasoning, and I take pride in guiding students through clear explanations, structured practice, and calm, confident mentorship. Teaching is not only my skill—it is a poetic responsibility I carry with respect and dedication.
Duration: 12–14 Weeks (flexible, student-oriented pacing)
Topics Covered
Class 12 CBSE/ICSE Syllabus:
Calculus, Algebra, Vectors, 3D Geometry, Probability, Relations & Functions, Determinants & Matrices
CUET Mathematics:
Arithmetic, Algebra, Geometry, Mensuration, Statistics, Mathematical Reasoning, PYQs & Practice Sets
JEE (Main) Foundation:
Algebra, Coordinate Geometry, Calculus basics, Trigonometry, and Objective Problem-Solving Techniques
Module 1: Foundations & Core Concepts
Number System Revision
Algebraic Expressions & Basic Identities
Functions and Their Types
Basic Trigonometric Principle
Module 2: Class 12 Mathematics (Complete Board Syllabus)
Unit 1: Relations & Functions
Types of Relations
Types of Functions
Composite & Inverse Functions
Unit 2: Algebra
Matrices (Operations, Transpose, Inverse)
Determinants
System of Linear Equations
Unit 3: Calculus
Continuity & Differentiability
Derivatives and Applications
Indefinite & Definite Integrals
Applications of Integrals
Differential Equations
Unit 4: Vectors & 3D Geometry
Vector Algebra
Direction Cosines & Ratios
Lines & Planes in 3D
Shortest Distance Problems
Unit 5: Probability
Conditional Probability
Bayes’ Theorem
Random Variables & Distributions
Module 3: CUET Mathematics Preparation
CUET Part A (General Maths)
Arithmetic (Percentages, Profit-Loss, Ratio, Averages)
Algebra Essentials
Geometry & Mensuration
Statistics & Data Interpretation
Mathematical Reasoning
CUET PYQs Practice
CUET Part B (Domain Maths)
CUET-focused Board Chapters Revision
Speed Techniques + Accuracy Building
Topic-wise CUET Mock Tests
Module 4: JEE Mathematics Foundation
Algebra (Quadratic, Sequences, Binomial, Logarithms)
Coordinate Geometry (Straight Line, Circle, Parabola Basics)
Trigonometry (Advanced Concepts)
Calculus Foundation
Vector & 3D Basics
Objective Problem Practice (MCQs)
JEE Level Chapter Tests
Module 5: Weekly Assessments & Feedback
Weekly Chapter Tests
Monthly Mock Exams (Boards + CUET + JEE Pattern)
Personalized Performance Review
Doubt-Clearing and Concept Strengthening Sessions
Module 6: Final Preparation
Full-Length Mock Tests
High-Weightage Topics Revision
Formula Sheets & Mind Maps
Time Management Strategies for Exams
Education verified
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