Mathematics-I (3110014) Syllabus :
Syllabus
1 Indeterminate Forms and L'Haspital's Rule, Improper Integrals, Applications of definite integral
2 Convergence and divergence of sequences
Convergence and divergence of sequences, The Sandwich Theorem for Sequences, The Continuous Function Theorem for Sequences, Bounded Monotonic Sequences, Convergence and divergence of an infinite series, geometric series, telescoping series, nth term test for divergent series, Combining series, Harmonic Series, Integral test, The p - series, The Comparison test, The Limit Comparison test, Ratio test , Raabe's Test, Root test, Alternating series test, Absolute and Conditional convergence, Power series, Radius of convergence of a power series, Taylor and Maclaurin series,
3 Fourier Series
4 Functions of several variables
Functions of several variables, Limits and continuity, Test for non existence of a limit, Partial differentiation, Mixed derivative theorem, Differentiability, Chain rule , Implicit differentiation, Gradient, Directional derivative , tangent plane and normal line , total differentiation, Local extreme values, Method of Lagrange Multipliers,
5 Integral
Multiple integral , Double integral over Rectangles and general regions, double integrals as volumes, Change of order of integration, double integration in polar coordinates, Area by double integration, Triple integrals in rectangular, cylindrical and spherical coordinates, Jacobian, multiple integral by substitution,
6 Elementary row operations in Matrix
Elementary row operations in Matrix, Row echelon and Reduced row echelon forms, Rank by echelon forms, Inverse by Gauss-Jordan method, Solution of system of linear equations by Gauss elimination and GaussJordan methods, Eigen values and eigen vectors , Cayley-Hamilton theorem, Diagonalization of a matrix.
| Syllabus | Download |
|---|---|
| Mathematics-I | Click Here |
Mathematics-I - IMP Question :
| Material | Download |
|---|---|
| Double Integrals (IMP Question & Answers) | Click Here |
| Beta and Gamma Integrals (IMP Question & Answers) | Click Here |
| Linear Differential Equations with Constant Coefficients (IMP Question & Answers) | Click Here |
| Cauchy's Homogeneous Linear Differential Equations (IMP Question & Answers) | Click Here |
| Mathematics-I IMP By Alpha-CET | Click Here |
| Mathematics-I IMP (Formulas) | Click Here |
Chapter-Wise PPTs/Notes :
| Units | Download |
|---|---|
Mathematics-I (Darshan Notes) | Click Here |
| Mathematics-I (Darshan PPT) | Click Here |
| Mathematics-I (Handwritten Notes) | Click Here |
Mathematics-I Old Papers :
| Year(Winter/Summer) | Question Paper |
|---|---|
| Winter 2020 | Click Here |
| Winter 2019 | Click Here |
| Winter 2018 | Click Here |
| Summer 2019 | Click Here |
| Summer 2018 | Click Here |
Mathematics-I Books :
| Books | Download |
|---|---|
| Mathematics-I By Mc Graw Hill | Click Here |
| Mathematics-I By MRCET | Click Here |
| Mathematics-I By Darshan Institute | Click Here |
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