Maths 1 Past Paper Topics PDF
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Uploaded by StylishFauvism
Parul University
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Summary
This document details topics that will be covered in a maths course. It covers a wide range of mathematical concepts, including sequences and series, improper integrals, Fourier series, and multivariate calculus.
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# Topics to be covered in classes ## For Late Started Classes ### Unit 2 - Convergent & divergent sequences - Monotonic & bounded sequences - Sandwich Theorem ### Series - Convergent & divergent sequences - Geometric series & finding sum - nth term test - p-series - Limit comparison test - Ratio t...
# Topics to be covered in classes ## For Late Started Classes ### Unit 2 - Convergent & divergent sequences - Monotonic & bounded sequences - Sandwich Theorem ### Series - Convergent & divergent sequences - Geometric series & finding sum - nth term test - p-series - Limit comparison test - Ratio test - Root test - Alternating series test ### Unit 5: Improper Integral - Improper Integral of Type-1, Type-2, Type 3 - Convergence of Integral - Beta & Gamma functions ### Unit 4 F.O.D.E - Definition of order & degree - Exact & Non-exact - Linear & Non-linear ### Unit 6: Fourier Series - Fourier series expansion - Fourier sine & cosine series - Half range sine & cosine series ### Unit 3: Multivariate calculus - Limit, Continuity, PD - Chain rule, Implicit differentiation - Euler's & Modified Euler's Theorem & examples - Tangent plane, Normal line - Maxima & minima - Jacobian ## Unit 1: Matrices (sys of linear equations) - System of Non-Homogeneous & Homogeneous equations - Rank - Finding eigenvalues & eigenvectors - Algebraic & geometric multiplicity - Diagonalization - Quadratic Form & Canonical Form - Nature of Quadratic Form
