What you will learn

📚 Course Contents (Chapters)

Unit 1: Algebra

• Basic Operations & Polynomials

• Factorization & Quadratic Equations

• Linear Inequations

• Sets, Relations, and Functions

• Complex Numbers

• Permutations & Combinations

• Binomial Theorem

Unit 2: Matrices & Determinants

• Types of Matrices

• Operations on Matrices

• Determinants & Inverse of a Matrix

• Application in Solving Linear Equations

Unit 3: Trigonometry

• Trigonometric Ratios & Identities

• Inverse Trigonometric Functions

• Heights & Distances

• Multiple & Submultiple Angles

Unit 4: Analytical Geometry of Two & Three Dimensions

• Straight Lines, Circles, Parabola, Ellipse, Hyperbola

• Direction Cosines & Ratios

• Equation of a Plane & Line in 3D

Unit 5: Differential Calculus

• Concept of Limits, Continuity, and Differentiation

• Tangents & Normals

• Maxima & Minima

• Applications of Derivatives

Unit 6: Integral Calculus & Differential Equations

• Indefinite & Definite Integrals

• Area Under Curves

• Differential Equations – Order, Degree, General & Particular Solutions

Unit 7: Vector Algebra

• Magnitude & Direction of Vectors

• Dot & Cross Product

• Applications to Geometry

Unit 8: Statistics & Probability

• Mean, Median, Mode, Variance & Standard Deviation

• Probability Theorems

• Conditional Probability & Bayes Theorem

Unit 9: Linear Programming

• Formulation of Linear Problems

• Graphical Solution

• Optimization

Unit 10: Mensuration

• Area & Volume of Geometric Solids (Cube, Cylinder, Cone, Sphere, Prism)

📗 Paper II – General Ability Test (GAT) (600 Marks)

📘 Course Description

Divided into two sections:

• Part A: English (200 Marks)

• Part B: General Knowledge (400 Marks)

📙 PART A – English (200 Marks)

Unit 1: Grammar & Usage

• Parts of Speech

• Tenses, Modals, Voice, Narration

• Prepositions, Articles, Conjunctions

Unit 2: Vocabulary

• Synonyms, Antonyms

• One Word Substitutions

• Idioms & Phrases

Unit 3: Reading Comprehension

• Passages with Inference & Theme Questions

Unit 4: Sentence Correction

• Error Detection & Sentence Improvement

Unit 5: Sentence Rearrangement

• Jumbled Sentences & Paragraph Ordering

📙 PART B – General Knowledge (400 Marks)

Section 1: Physics

• Laws of Motion, Force & Energy

• Work, Power, and Energy

• Gravitation, Heat, Sound, Light

• Electricity & Magnetism

• Modern Physics – Atomic & Nuclear Concepts

Section 2: Chemistry

• Matter & Its Composition

• Atomic Structure, Elements, and Compounds

• Acids, Bases, Salts

• Oxidation & Reduction

• Carbon & Its Compounds

• Chemical Equations and Reactions

Section 3: General Science

• Human Body Systems (Respiratory, Digestive, Circulatory)

• Food & Nutrition

• Diseases and Immunity

• Reproduction, Genetics & Evolution

Section 4: History

• Ancient India – Indus Valley, Maurya, Gupta Empires

• Medieval India – Delhi Sultanate, Mughals

• Modern India – British Rule, Freedom Struggle, Independence

Section 5: Geography

• Physical Features of Earth

• Latitude, Longitude, Time Zones

• Indian Geography – Rivers, Mountains, Soils, Climate

• World Geography – Continents, Oceans, Natural Resources

Section 6: Current Events

• National & International Events

• Sports, Awards, and Summits

• Defence Exercises and Appointments

• Government Schemes and Initiatives