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Curriculum & Syllabus Hub

Master Your Exact Course Syllabus From First Principles

AP • College Engineering • GATE • State Technical Universities

Searchable engineering, AP, and GATE curriculum guides. Upload your lecture slides to get document-grounded AI tutoring, step-by-step mathematical proofs, and revision roadmaps.

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International STEM & College Mathematics

AP College BoardAdvanced Placement (Grade 11/12)

Rotational Dynamics & Torque

Complete first-principles breakdown of moment of inertia derivations, rotational kinematics, angular momentum conservation, and rolling without slipping.

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AP College BoardAdvanced Placement

Taylor & Maclaurin Series

Master power series representation of functions, Taylor remainder Lagrange bounds, convergence intervals, and radius of convergence tests.

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College STEM / MIT & ABET CurriculaUndergraduate Semester 1/2

Linear Algebra: Eigenvalues & SVD

First-principles understanding of vector spaces, linear transformations, characteristic polynomials, diagonalization, and Singular Value Decomposition (SVD).

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College Engineering & National GATE Curricula

National GATE ExaminationComputer Science & Engineering

Theory of Computation & Automata

Comprehensive GATE CSE preparation for Finite Automata, Regular Expressions, Context-Free Grammars, Pushdown Automata, Turing Machines, and Decidability.

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National GATE ExaminationElectronics & Communication Engineering

Signals & Systems: Fourier & Laplace

Continuous and discrete-time signal analysis, LTI systems convolution, Fourier Series (CTFS/DTFS), Fourier Transforms (CTFT/DTFT), and Laplace/Z-Transform ROCs.

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Jawaharlal Nehru Technological University Hyderabad (JNTUH)Computer Science & Engineering

Operating Systems (R22 Syllabus)

Complete JNTUH R22 curriculum coverage for Process Management, CPU Scheduling Algorithms, Synchronization Semaphores, Deadlock Avoidance, and Virtual Memory Paging.

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Visvesvaraya Technological University (VTU)Electronics & Communication Engineering

Digital Signal Processing (21EC52)

VTU 21EC Scheme syllabus for Discrete Fourier Transform (DFT), Radix-2 FFT algorithms, IIR Filter Design (Butterworth, Chebyshev), and FIR Filter Design using Windows.

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Senior Secondary STEM (Class 11 & 12 Foundation)

CBSE & National Board (India)Senior Secondary (Grade 12)

Electrostatics & Gauss's Law

Complete board and JEE foundation coverage of electric field intensity, electric potential, Gauss's Theorem applications, and capacitance with dielectrics.

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