Tutsmate Academy Master Syllabus Matrix

A 10-Semester unified cross-board execution map spanning Secondary School (CBSE/ICSE/WBBSE), Higher Secondary (CBSE/ISC/WBCHSE), and core ECE & CSE B.Tech Engineering domains.

Curriculum Alignment Key: CBSE (Code 165/417/083) ICSE / ISC (Computer Science) WBBSE / WBCHSE (Modern Computer Apps) B.Tech (ECE & CSE Core)
YEAR 1: FOUNDATION PHASE Target: Class 10 Board Teaching Readiness
Semester 1 July 2026 – December 2026
Physics & Chemistry CBSE 9ICSE 9WB 9
  • Physics: Kinematics (Motion, Distance vs Displacement, Uniform/Non-uniform motion, Equations of motion); Force & Newton's Laws; Gravitation (Universal Law, Mass vs Weight).
  • Chemistry: Matter in Our Surroundings; Is Matter Around Us Pure (Elements, Mixtures, Compounds, Colloids); Atomic Structure (Thomson, Rutherford, Bohr models).
Mathematics CBSE 9-10ICSE 9
Trigonometry Baseline: Basic definitions, right-angled triangle properties, trigonometric ratios of standard angles (30°, 45°, 60°).
  • Number Systems, Real Numbers, Polynomials, Linear Equations in Two Variables.
Computer Science & AI CBSE 9 (417/165)ICSE 9
  • CS: Basics of IT, Computer Architecture, HTML5/CSS basics (Structural tags, lists, links). Introduction to Object-Oriented Programming (OOP) concepts via BlueJ/Java syntax.
  • AI: Introduction to AI, AI Project Cycle (Problem Scoping, Data Acquisition, Data Exploration, Modeling, Evaluation).
Reference Books: NCERT Science Class 9, Selina Concise Physics/Chemistry Class IX, ML Aggarwal ICSE Math, CBSE AI Class IX Study Material.
Online Modules: Udemy: 100 Days of Code: The Complete Python Pro Bootcamp | Skillshare: Introduction to Java Programming for Beginners
Semester 2 January 2027 – June 2027
Physics & Chemistry CBSE 10ICSE 10WB 10
  • Physics: Light (Reflection/Refraction, Lens & Mirror formulas); Electricity (Ohm's Law, Resistance networks, Heating effects); Magnetic Effects of Current (Electromagnetic Induction, Fleming's rules).
  • Chemistry: Chemical Reactions & Equations; Acids, Bases & Salts; Metals & Non-Metals; Carbon and its Compounds (Homologous series, functional groups, saponification).
Mathematics CBSE 10ICSE 10WB 10
  • Quadratic Equations, Arithmetic Progressions, Coordinate Geometry, Mensuration (Surface areas, volumes). Heights and Distances (Trigonometric applications).
Computer Science & AI CBSE 10ICSE 10WB 10
  • ICSE Java: Decision making (if-else, switch), Loops (while, do-while, for), Nested loops, basic String handling functions.
  • CBSE/WB CS: Cyberethics, Advanced HTML tables/forms. Python scripting foundations.
  • CBSE AI: Data Sciences, Computer Vision (CV introduction), Natural Language Processing (NLP frameworks), AI Ethics.
Reference Books: NCERT Science Class 10, Selina Concise Class X Series, Together With Computer Applications (Oshwal), CBSE Class X AI Handbook.
Online Modules: Udemy: Java Programming Masterclass | Udemy: Artificial Intelligence for Beginners (Class 10 Alignment)
YEAR 2: HIGHER SECONDARY TRANSITION Target: Class 11 Syllabus Mastery
Semester 3 July 2027 – December 2027
Physics & Chemistry CBSE 11ISC 11WB 11
Vector Mathematics Block: Vector addition, scalar and vector products, resolution of vectors, unit vectors. Essential for classical mechanics.
  • Physics: Units & Measurements; Kinematics (Motion in a straight line & plane, projectile motion); Laws of Motion; Work, Energy & Power; System of Particles & Rotational Motion.
  • Chemistry: Some Basic Concepts of Chemistry (Mole concept, stoichiometry); Structure of Atom (Quantum numbers, electronic configurations); Periodicity in Properties.
Mathematics CBSE 11ISC 11
Algebra Focus Area: Permutations & Combinations (Fundamental principle of counting, linear permutations, combinations).
  • Sets, Relations & Functions, Trigonometric Functions (Compound angles, multiple angle identities, conditional identities).
Computer Science CBSE 11 (083)ISC 11WB 11
  • CBSE Python: Data types, mutable/immutable structures (Lists, Tuples, Dictionaries), String manipulation.
  • ISC Java / WB Apps: Number Systems (Binary, Octal, Hex conversion, 1's & 2's complement), Basic Boolean Algebra (Truth tables, logic gates representations).
Reference Books: Concept of Physics Vol 1 (HC Verma), Pradeep's New Course Chemistry Vol 1, Senior Secondary School Math (RD Sharma Vol 1), Computer Science with Python (Sumita Arora).
Online Modules: Udemy: Become a Probability & Statistics Master (Section on Combinatorics) | Udemy: Python Data Structures A-Z
Semester 4 January 2028 – June 2028
Physics & Chemistry CBSE 11ISC 11WB 11
Waves & Harmonics Block: Simple Harmonic Motion (SHM) differential equation, kinetic & potential energy in SHM, wave superposition, Doppler effect.
  • Physics: Gravitation (Kepler's Laws, escape velocity); Mechanical Properties of Solids & Fluids; Thermodynamics; Kinetic Theory of Gases.
  • Chemistry: Chemical Bonding & Molecular Structure (VSEPR, Hybridization); Chemical & Ionic Equilibrium; Redox Reactions; Organic Chemistry Principles (Nomenclature, Isomerism, Inductive/Resonance effects).
Mathematics CBSE 11ISC 11
Introductory Calculus: Limits and Derivatives (Graphical interpretation, first principle of differentiation, standard derivative rules).
  • Complex Numbers, Sequence & Series (AP, GP), Binomial Theorem, Intro to 3D Geometry.
Computer Science CBSE 11ISC 11WB 11
  • CS Programming Core: Concept of Execution analysis. User Defined Functions in Python/Java. Exception handling parameters.
  • WB Board Modern Apps: Introduction to Spreadsheet modeling (MS Excel formulations) and basic sequential design elements.
Reference Books: HC Verma Vol 1, RD Sharma Vol 2, ISC Computer Science Class XI (DKB Publications).
Online Modules: Udemy: Calculus 1 Masterclass | Skillshare: Mechanical Waves and Acoustics Mastery
YEAR 3: PRE-ENGINEERING & HIGHER SECONDARY CAPSTONE Target: Class 12 Board Teaching Readiness
Semester 5 July 2028 – December 2028
Physics & Chemistry CBSE 12ISC 12WB 12
  • Physics: Electrostatics (Coulomb's Law, Gauss's Theorem, Capacitors); Current Electricity (Kirchhoff's rules, Potentiometer, Wheatstone bridge); Magnetic Effects of Current & Magnetism (Biot-Savart Law, Ampere's Law).
  • Chemistry: Solutions (Colligative properties, Raoult's law); Electrochemistry (Nernst equation, Kohlrausch law, fuel cells); Chemical Kinetics (Order/Molecularity, Arrhenius equation).
Mathematics CBSE 12ISC 12
Core Calculus Intensive: Continuity & Differentiability, Applications of Derivatives, Indefinite & Definite Integrals, Integration methods (Substitution, Parts, Partial Fractions).
  • Matrices and Determinants, Inverse Trigonometric Functions.
Computer Science & AI Electives CBSE 12 CoreISC 12
  • CBSE Python Advanced: Functions (Scope, argument types), File Handling (Text, Binary, CSV files). Linear Data Structures: Stacks (Push, Pop implementation).
  • ISC Java Advanced: Class design, Inheritance, Polymorphism, Recursion mechanisms, Arrays of objects, String Tokenizer.
Reference Books: Concept of Physics Vol 2 (HC Verma), Senior Secondary Math Vol 1 (RD Sharma), Modern's ABC of Chemistry Class 12, Computer Science with Python Class XII (Sumita Arora).
Online Modules: Udemy: Calculus 2 (Integral Calculus & Applications) | Udemy: Data Structures & Algorithms in Python
Semester 6 January 2029 – June 2029
Physics & Chemistry CBSE 12ISC 12WB 12
  • Physics: Electromagnetic Induction (EMI); Alternating Current (LCR circuits, resonance, transformers); Optics (Ray Optics, Wave Optics - Huygens principle, Interference, Diffraction); Modern Physics (Dual nature of radiation, Atoms, Nuclei, Semiconductor Electronics).
  • Chemistry: d and f Block Elements; Coordination Compounds; Comprehensive Organic Block (Haloalkanes/Arenes, Alcohols, Phenols, Ethers, Aldehydes, Ketones, Carboxylic Acids, Amines, Biomolecules).
Mathematics CBSE 12ISC 12
Probability & Vectors Core: Vector Algebra, 3D Geometry (Lines and Planes equations). Differential Equations. Probability (Conditional probability, Multiplication theorem, Bayes' Theorem, Binomial distribution).
  • Linear Programming Problems (LPP optimization).
Computer Science & AI Electives CBSE/ISC/WB 12
  • Databases & SQL: Relational Database management concepts, SQL commands (DDL/DML), Joins, Aggregate functions.
  • Networking & Boolean Logic: OSI/TCP-IP models, network topologies, protocols (HTTP, FTP, DNS). Boolean function minimization (Karnaugh Maps - 3 and 4 variables).
  • WB Board Modern Apps: Relational Database Modeling using MS Access, HTML advanced formatting arrays.
Reference Books: HC Verma Vol 2, RD Sharma Vol 2, ISC Computer Science (S. Chand - Kalyani Publishers).
Online Modules: Udemy: The Complete SQL Bootcamp | Udemy: Probability & Statistics Masterclass
YEAR 4: ADVANCED B.TECH ENGINEERING PIPELINE Target: Core ECE & CSE Curriculum Command
Semester 7 July 2029 – December 2029
Engineering Mathematics ECE / CSE
Vector Calculus Mastery: Gradient, Divergence, Curl, Line integrals, Surface integrals, Green's, Gauss Divergence, and Stokes' Theorems.
  • Linear Algebra (Matrix Rank, Eigenvalues/Eigenvectors, Cayley-Hamilton). Complex Variables (Analytic functions, Laurent series). Laplace and Fourier Transforms.
Core Electronics Engineering (ECE) ECE Core
  • Network Theory: Superposition, Thevenin, Norton, Maximum Power Transfer theorems. Transient analysis of RC, RL, RLC circuits.
  • Analog Circuits: Small-signal equivalent circuits of diodes, BJTs, MOSFETs. Op-Amp applications (Differentiator, Integrator, Active filters).
Computer Systems Foundations CSE Core
  • Operating Systems: Process states, CPU scheduling, Semaphores, Deadlocks, Memory management (Paging, Segmentation, Virtual memory).
Reference Books: Higher Engineering Mathematics (B.S. Grewal), Electronic Devices and Circuit Theory (Boylestad), Operating System Concepts (Galvin).
Online Modules: Udemy: Crash Course Electronics and PCB Design | Udemy: Introduction to Operating Systems
Semester 8 January 2030 – June 2030
Digital & Signal Processing ECE Core
  • Digital Electronics: Combinational logic, Multiplexers, Decoders. Sequential logic: Flip-Flops, Registers, Counters, Finite State Machines (FSM).
  • Signals & Systems: Linear Time-Invariant (LTI) systems, Impulse response, Convolution, Z-transform, DFT, FFT structures. (Builds on the Semester 4 Waves & Harmonics mastery).
Advanced Computer Science Engineering CSE Core
  • Advanced DSA: Complexity analysis (Big-O notation). Graphs (BFS, DFS, Dijkstra's algorithm), Trees (AVL, Binary Search Trees), Dynamic Programming algorithms.
  • Computer Networks: Data Link Layer protocols, Routing algorithms (OSPF, BGP), Transport Layer congestion control, Network security configurations.
Reference Books: Digital Design (Morris Mano), Signals and Systems (Oppenheim & Wilsky), Introduction to Algorithms (Cormen), Computer Networks (Tanenbaum).
Online Modules: Udemy: Mastering Data Structures & Algorithms using C and C++ | Udemy: Signals & Systems Masterclass
YEAR 5: ADVANCED SPECIALIZATION & ARTIFICIAL INTELLIGENCE Target: Full-Stack Engineering Faculty Status
Semester 9 July 2030 – December 2030
Hardware Architecture & Control ECE Core
  • Microprocessors & Microcontrollers: 8085/8086 architecture, assembly language, memory interfacing. ARM Cortex architectures, Embedded C programming, GPIO systems.
  • Control Systems: Transfer functions, block diagram reduction, signal flow graphs. Stability criteria: Routh-Hurwitz, Root locus, Bode plots, Nyquist criterion.
Data Science & Core Machine Learning CSE / AI Specialization
  • The Data Stack: Multi-dimensional array processing with NumPy, structured manipulation using Pandas, mathematical plotting via Matplotlib/Seaborne.
  • Machine Learning Algorithms: Supervised Learning (Linear/Logistic Regression, Support Vector Machines, Decision Trees, Random Forests). Unsupervised Learning (K-Means, Hierarchical clustering, PCA dimension reduction). Evaluation metrics (ROC-AUC, Precision, Recall, F1-Score).
Reference Books: Microprocessor Architecture (Gaonkar), Control Systems Engineering (Nagrath & Gopal), Hands-On Machine Learning (Aurélien Géron).
Online Modules: Udemy: Machine Learning A-Z: AI, Python & R | Udemy: Embedded Systems Bare-Metal Programming
Semester 10 January 2031 – June 2031
Communication Systems & Electromagnetics ECE Core
  • Communication Engineering: Amplitude, Frequency, Phase modulation. Digital systems: PCM, DPCM, ASK, FSK, QAM, noise analysis.
  • Electromagnetic Field Theory: Maxwell's Equations, Waveguides, Transmission Line principles, Poynting vector computations. (Builds on the Semester 7 Vector Calculus foundations).
Deep Learning & Advanced Artificial Intelligence CSE / AI Specialization
  • Deep Learning: Multilayer Perceptrons, Backpropagation calculus. Convolutional Neural Networks (CNN) for Computer Vision. Recurrent Neural Networks (RNN/LSTM) and Attention mechanisms for sequential language processing.
  • AI Deployment Architecture: Framework processing using TensorFlow and PyTorch. Heuristic Search optimization, Game playing trees (Minimax, Alpha-Beta pruning). Transformer base models.
Reference Books: Communication Systems (Simon Haykin), Principles of Electromagnetics (Sadiku), Deep Learning (Goodfellow, Bengio, Courville), Artificial Intelligence: A Modern Approach (Russell & Norvig).
Online Modules: Udemy: Deep Learning A-Z: Hands-On Artificial Neural Networks | Udemy: PyTorch for Deep Learning Bootcamp