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<h3 class="toggler-37"><a href="javascript:void(0)" style="color: black;">B. Tech. Courses</a></h3>
<h3 class="toggler-37"><a href="javascript:void(0)" style="color: black;">Engineering Physics </a></h3>
<ul class="panel-37">
<li><strong>Instructor in Charge: Dr. Upendra Kumar</strong></li>
<li><strong>Marks</strong></li>
<ul>
<ul>
<li>Formative Assessment Marks <a href="./results1.php"><strong>Marks</strong></a> </li>
</ul>
</ul>
</ul>
</ul>
<h3 class="toggler-37"><a href="javascript:void(0)" style="color: black;">Constitution of India </a></h3>
<ul class="panel-37">
<li><strong>Instructor in Charge: Dr. Upendra Kumar</strong></li>
<li><strong>Marks</strong></li>
<ul>
<ul>
<li>Quiz and Internal Assessment Marks <a href="./results2.php"><strong>Marks</strong></a> </li>
</ul>
</ul>
</ul>
</ul>
<h3 class="toggler-37"><a href="javascript:void(0)" style="color: grey;">Univariate and Multivariate Calculus </a></h3>
<ul class="panel-37">
<li><strong>Announcements</strong></li>
<ul>
<li> Welcome to the Univariate and Multivariate Calculus webpage. You have to visit this page reguarly for any announcement regarding this course. </li>
<li> </li>
</ul>
<li><a href="./UMC_Syllabus.pdf" target="_blank"><strong>Syllabus</strong></a>
</li>
<li><a href="./Lecture_Schedule.pdf" target="_blank"><strong>Lecture Schedule</strong></a>
</li>
<li><a href="./Tutorial_Schedule.pdf" target="_blank"><strong>Tutorial Schedule</strong></a>
</li>
</br>
<li><strong>Lecture Notes</strong></li>
<ul>
<li> Lecture 0: <a href="./Lecture_0_Quantifiers.pdf" target="_blank"> Quantifiers </a> </li>
<li> Lecture 1: <a href="./Lecture_1_The_Real_Number_System.pdf" target="_blank"> The Real Number System </a> </li>
<li> Lecture 2: <a href="./Lecture_2_Sequences_and_Their_Convergence.pdf" target="_blank"> Sequences and Their Convergence </a> </li>
<li> Lecture 3: <a href="./Lecture_3_Cauchy_Sequences_and_Subsequences.pdf" target="_blank"> Cauchy Sequences and Subsequences </a> </li>
<li> Lecture 4: <a href="./Lecture_4_Continuity.pdf" target="_blank"> Continuity </a> </li>
<li> Lecture 5: <a href="./Lecture_5_Limits.pdf" target="_blank"> Limits </a> </li>
<li> Lecture 6: <a href="./Lecture_6_Properties_of_Continuous_Functions.pdf" target="_blank"> Properties of Continuous Functions </a> </li>
<li> Lecture 7: <a href="./Lecture_7_Differentiability.pdf" target="_blank"> Differentiability </a> </li>
<li> Lecture 8: <a href="./Lecture_8_Mean_Value_Theorem.pdf" target="_blank"> Mean Value Theorem </a> </li>
<li> Lecture 9: <a href="./Lecture_9_L’Hospital’s_Rules.pdf" target="_blank"> L’Hospital’s Rules </a> </li>
<li> Lecture 10: <a href="./Lecture_10_Local_Extrema_and_Points_of_Inflection.pdf" target="_blank"> Local Extrema and Points of Inflection </a> </li>
<li> Lecture 11: <a href="./Lecture_11_The_Picard_and_Newton_Methods.pdf" target="_blank"> The Picard and Newton Methods </a> </li>
<li> Lecture 12: <a href="./Lecture_12_Taylor's_Theorem.pdf" target="_blank"> Taylor's Theorem </a> </li>
<li> Lecture 13: <a href="./Lecture_13_Series.pdf" target="_blank"> Series </a> </li>
<li> Lecture 14: <a href="./Lecture_14_Convergence_Tests_for_Series.pdf" target="_blank"> Convergence Tests for Series </a> </li>
<li> Lecture 15: <a href="./Lecture_15_Power_Series.pdf" target="_blank"> Power Series </a> </li>
<li> Lecture 16: <a href="./Lecture_16_Riemann_Integration.pdf" target="_blank"> Riemann Integration </a> </li>
<li> Lecture 17: <a href="./Lecture_17_The_Fundamental_Theorems_of_Calculus.pdf" target="_blank"> The Fundamental Theorems of Calculus </a> </li>
<li> Lecture 18: <a href="./Lecture_18_Improper_Riemann_Integrals.pdf" target="_blank"> Improper Riemann Integrals </a> </li>
<li> Lecture 19: <a href="./Lecture_19_The_Euclidean_Spaces.pdf" target="_blank"> The Euclidean Spaces </a> </li>
<li> Lecture 20: <a href="./Lecture_20_Limits_and_Continuity_of_Functions_of_Several_Variables.pdf" target="_blank"> Limits and Continuity of Functions of Several Variables</a> </li>
<li> Lecture 21: <a href="./Lecture_21_Differentiability_of_Functions_of_Several_Variables.pdf" target="_blank"> Differentiability of Functions of Several Variables </a> </li>
<li> Lecture 22: <a href="./Lecture_22_Differentiability_Directional_Derivatives_and_Gradient.pdf" target="_blank"> Differentiability, Directional Derivatives and Gradient</a> </li>
<li> Lecture 23: <a href="./Lecture_23_Higher_Order_Partial_Derivatives.pdf" target="_blank"> Higher Order Partial Derivatives </a> </li>
<li> Lecture 24: <a href="./Lecture_24_Local_Extrema_and_Saddle_Points.pdf" target="_blank"> Local Extrema and Saddle Points</a> </li>
<li> Lecture 25: <a href="./Lecture_25_Double_Integrals.pdf" target="_blank"> Double Integrals </a> </li>
<li> Lecture 26: <a href="./Lecture_26_Change_of_Variables_in_Double_Integrals.pdf" target="_blank"> Change of Variables in Double Integrals </a> </li>
<li> Lecture 27: <a href="./Lecture_27_Triple_Integrals.pdf" target="_blank"> Triple Integrals; Change of Variables in Triple Integrals</a> </li>
</ul>
</br>
<li><strong>Problems</strong></li>
<ul>
<li> The Real Number System: <a href="./Problem_Set_1.pdf" target="_blank">Problem Set 01 </a> </li>
<li> Sequences and Their Convergence: <a href="./Problem_Set_2.pdf" target="_blank">Problem Set 02 </a> </li>
<li> Cauchy Sequences and Subsequence: <a href="./Problem_Set_3.pdf" target="_blank">Problem Set 03 </a> </li>
<li> Continuity and Limits: <a href="./Problem_Set_4.pdf" target="_blank">Problem Set 04 </a> </li>
<li> Properties of Continuous Functions: <a href="./Problem_Set_5.pdf" target="_blank">Problem Set 05 </a> </li>
<li> Differentiability: <a href="./Problem_Set_6.pdf" target="_blank">Problem Set 06 </a> </li>
<li> Mean Value Theorem: <a href="./Problem_Set_7.pdf" target="_blank">Problem Set 07 </a> </li>
<li> Local Extrema and Points of Inflection: <a href="./Problem_Set_8.pdf" target="_blank">Problem Set 08 </a> </li>
<li> Taylor's Theorem <a href="./Problem_Set_9.pdf" target="_blank">Problem Set 09 </a> </li>
<li> Series <a href="./Problem_Set_10.pdf" target="_blank">Problem Set 10 </a> </li>
<li> Convergence Tests I: Comparison, Limit comparison and Cauchy condensation tests <a href="./Problem_Set_11.pdf" target="_blank">Problem Set 11 </a> </li>
<li> Convergence Tests II: Ratio, Root and Leibniz’s tests <a href="./Problem_Set_12.pdf" target="_blank">Problem Set 12 </a> </li>
<li> Power Series <a href="./Problem_Set_13.pdf" target="_blank">Problem Set 13 </a> </li>
<li> Riemann Integration <a href="./Problem_Set_14.pdf" target="_blank">Problem Set 14 </a> </li>
<li> FTC, Riemann sum and Improper Integral <a href="./Problem_Set_15.pdf" target="_blank">Problem Set 15 </a> </li>
<li> Functions of Several Variables <a href="./Problem_Set_16.pdf" target="_blank">Problem Set 16 </a> </li>
<li> Local Extrema and Saddle Points <a href="./Problem_Set_17.pdf" target="_blank">Problem Set 17 </a> </li>
<li> Double Integrals <a href="./Problem_Set_18.pdf" target="_blank">Problem Set 18 </a> </li>
<li> Triple Integrals <a href="./Problem_Set_19.pdf" target="_blank">Problem Set 19 </a> </li>
</ul>
<li><strong>Question Papers and Answer Keys </strong></li>
<ul>
<li> Section A: <a href="./Section_A.pdf" target="_blank">Tentaive marking scheme </a> </li>
<li> Section B: <a href="./Section_B.pdf" target="_blank">Tentaive marking scheme </a> </li>
<li> Section C: <a href="./Section_C.pdf" target="_blank">Tentaive marking scheme </a> </li>
<li> Section D: <a href="./Section_D.pdf" target="_blank">Tentaive marking scheme </a> </li>
<li> IFE: <a href="./IFE.pdf" target="_blank">Tentaive marking scheme </a> </li>
<li> C1 Review Test: <a href="./C1_MS.pdf" target="_blank">Tentaive marking scheme </a> </li>
<li> C2 Quiz: <a href="./C2_Quiz_MS_23.pdf" target="_blank">Tentaive marking scheme </a> </li>
<li> C3 End Semester Examination: <a href="./C3_MS_23.pdf" target="_blank">Tentaive marking scheme </a> </li>
<li> Make Up Examination: <a href="./Make_Up_MS.pdf" target="_blank">Tentaive marking scheme </a> </li>
</ul>
</br>
<li><strong>Marks</strong></li>
<ul>
<li>Make Up Examination <a href="./results2.php"><strong>Marks</strong></a> </li>
</ul>
</ul>
</ul>
</ul>
<h3 class="toggler-37"><a href="javascript:void(0)" style="color: grey;">Linear Algebra </a></h3>
<ul class="panel-37">
<li><strong>Announcements</strong></li>
<ul>
<li> </li>
</ul>
<li><strong>Lecture Notes</strong></li>
<ul>
<li> Lecture 1: <a href="./Lecture_1_Groups_Fields.pdf" target="_blank"> Groups & Fields </a> </li>
<li> Lecture 2: <a href="./Lecture_2_System_of_Linear_Equations.pdf" target="_blank"> System of Linear Equations </a> </li>
<li> Lecture 3: <a href="./Lecture_3_Elementary Matrices_Row_Reduced_Echelon_Form.pdf" target="_blank"> Elementary Matrices & Row Reduced Echelon Form </a> </li>
<li> Lecture 4: <a href="./Lecture_4_Invertible_Matrix_Gauss_Jordan_Method.pdf" target="_blank"> Invertible Matrix & Gauss-Jordan Method </a> </li>
<li> Lecture 5: <a href="./Lecture_5_Determinant_Function_Its_Properties.pdf" target="_blank"> Determinant Function & Its Properties </a> </li>
<li> Lecture 6: <a href="./Lecture_6_Vector_Space_and_Its_Properties.pdf" target="_blank"> Vector Space and Its Properties </a> </li>
<li> Lecture 7: <a href="./Lecture_7_Linear_Combination_Linear_Span_Linear_Dependence_Independence.pdf" target="_blank"> Linear Combination, Linear Span, Linear Dependence & Independence </a> </li>
<li> Lecture 8: <a href="./Lecture_8_Basis_Dimension.pdf" target="_blank"> Basis & Dimension </a> </li>
<li> Lecture 9: <a href="./Lecture_9_Basis_Dimension_of_Direct_Sum_of_Subspaces.pdf" target="_blank"> Basis & Dimension of Direct Sum of Subspaces </a> </li>
<li> Lecture 10: <a href="./Lecture_10_Linear_Transformation.pdf" target="_blank"> Linear Transformation </a> </li>
<li> Lecture 11: <a href="./Lecture_11_Rank_Nullity_theorem_Vector_Space_Isomorphism.pdf" target="_blank"> Rank-Nullity theorem & Vector Space Isomorphism </a> </li>
<li> Lecture 12: <a href="./'Lecture_12_Matrix_Representation_of_Linear_Transformation.pdf" target="_blank"> Matrix Representation of a Linear Transformation & Similar Matrices </a> </li>
<li> Lecture 13: <a href="./Lecture_13_Rank_of_a_matrix.pdf" target="_blank"> Rank of a matrix & System of linear equations </a> </li>
<li> Lecture 14: <a href="./Lecture_14_Eigenvalue_Eigenvector.pdf" target="_blank"> Eigenvalue & Eigenvector </a> </li>
<li> Lecture 15: <a href="./Lecture_15_Diagonalizability.pdf" target="_blank"> Diagonalizability </a> </li>
<li> Lecture 16: <a href="./Lecture_16_Cayley_Hamilton_Theorem_minimal_polynomial.pdf" target="_blank"> Cayley Hamilton Theorem, minimal polynomial & Diagonalizability </a> </li>
<li> Lecture 17: <a href="./Lecture_17_Inner_Product_Space.pdf" target="_blank"> Inner Product Space </a> </li>
<li> Lecture 18: <a href="./Lecture_18_Orthogonal_Projection_Shortest_Distance.pdf" target="_blank"> Orthogonal Projection & Shortest Distance </a> </li>
<li> Lecture 19: <a href="./Lecture_19_Fundamental_Theorem_of_Linear_Algebra_Least_Square_Approximation.pdf" target="_blank"> Fundamental Theorem of Linear Algebra & Least-Square Approximation </a> </li>
<li> Lecture 20: <a href="./Lecture_20_Spectral_Theorem.pdf" target="_blank"> Spectral Theorem </a> </li>
<li> Lecture 21: <a href="./Lecture_21_Decompositon_of_a_Matrix_in_Terms_of_Projections.pdf" target="_blank"> Decomposition of a Matrix in Terms of Projections </a> </li>
<li> Lecture 22: <a href="./Lecture_22_Singular_Value_Decomposition.pdf" target="_blank"> Singular Value Decomposition</a> </li>
<li> Lecture 23: <a href="./Lecture_23_Classification_of_Conics_Surfaces.pdf" target="_blank"> Classification of Conics & Surfaces </a> </li>
<li> Lecture 24: <a href="./Lecture_24_Jordan_Canonical_Form.pdf" target="_blank"> Jordan Canonical Form </a> </li>
</ul>
</br>
<li><strong>Problems</strong></li>
<ul>
<li> <a href="./P1.pdf" target="_blank">Problem Set 01 </a> </li>
<li> <a href="./P2.pdf" target="_blank">Problem Set 02 </a> </li>
<li> <a href="./P3.pdf" target="_blank">Problem Set 03 </a> </li>
<li> <a href="./P4.pdf" target="_blank">Problem Set 04 </a> </li>
<li> <a href="./P5.pdf" target="_blank">Problem Set 05 </a> </li>
<li> <a href="./P6.pdf" target="_blank">Problem Set 06 </a> </li>
</ul>
<li><strong>Question Papers and Answer Keys </strong></li>
<ul>
<li> End Sem Exam <a href="./2023_End_Sem_MS.pdf" target="_blank">Tentaive marking scheme </a> </li>
</ul>
</br>
</ul>
</ul>
</ul>
</ul>
<h3 class="toggler-37"><a href="javascript:void(0)" style="color: grey;">Probability & Statistics </a></h3>
<ul class="panel-37">
<li><strong>Announcements</strong></li>
<ul>
<li> We would like to express our deepest appreciation to Professor Neeraj Mishra, IIT Kanpur for many insightful discussions while teaching this course in the past couple of years. The modules for the same course available on his personal web page were very helpful in preparing our lecture notes. </li>
</ul>
<li><a href="./PAS_Syllabus.pdf" target="_blank"><strong>Syllabus</strong></a>
</li>
<li><a href="./z_table.pdf" target="_blank"><strong>z-table</strong></a>
</li>
<li><strong>Lecture Notes</strong></li>
<ul>
<li> Lecture 01: <a href="./Basic_Probability.pdf" target="_blank">Basic Probability </a> </li>
<li> Lecture 02: <a href="./Conditional_Probability.pdf" target="_blank">Conditional Probability </a> </li>
<li> Lecture 03: <a href="./Random_Variable.pdf" target="_blank">Random Variable </a> </li>
<li> Lecture 04: <a href="./Types_of_Random_Variables.pdf" target="_blank">Types of Random Variables</a> </li>
<li> Lecture 05: <a href="./Function_of_Random_Variables.pdf" target="_blank">Function of Random Variables</a> </li>
<li> Lecture 06: <a href="./Expectation.pdf" target="_blank">Expectation, Variance and Standard Deviation</a> </li>
<li> Lecture 07: <a href="./Moment_generating_function.pdf" target="_blank">Moment generating function</a> </li>
<li> Lecture 08: <a href="./Bernoulli_Binomial_Uniform.pdf" target="_blank">Special Discrete Distribution I: Bernoulli, Binomial and Uniform</a> </li>
<li> Lecture 09: <a href="./Negative_Binomial_and_Geometric.pdf" target="_blank">Special Discrete Distribution II: Negative Binomial and Geometric</a> </li>
<li> Lecture 10: <a href="./Hypergeometric_and_Poisson.pdf" target="_blank">Special Discrete Distribution III: Hypergeometric and Poisson</a> </li>
<li> Lecture 11: <a href="./Uniform_and_Normal.pdf" target="_blank">Special Continuous Distribution I: Uniform and Normal</a> </li>
<li> Lecture 12: <a href="./Gamma_and_Exponential.pdf" target="_blank">Special Continuous Distribution II: Gamma and Exponential</a> </li>
<li> Lecture 13: <a href="./Random_Vector.pdf" target="_blank">Random Vector</a> </li>
<li> Lecture 14: <a href="./Types_Random_Vector.pdf" target="_blank">Types of Random Vector</a> </li>
<li> Lecture 15: <a href="./Conditional_Distributions_and_Independent_Random_Variables.pdf" target="_blank">Conditional Distributions and Independent Random Variables</a> </li>
<li> Lecture 16: <a href="./Momets_Covariance_Correlation.pdf" target="_blank">Momets, Covariance & Correlation Coefficient</a> </li>
<li> Lecture 17: <a href="./Conditional_Expectation_Variance.pdf" target="_blank">Conditional Expectation and Variance</a> </li>
<li> Lecture 18: <a href="./Joint_Moment_generating_function.pdf" target="_blank">Joint Moment generating function</a> </li>
<li> Lecture 19: <a href="./Functions_of_several_Random_Variables.pdf" target="_blank">Functions of several Random Variables</a> </li>
<li> Lecture 20: <a href="./Law_of_Large_Numbers_CLT_Normal_Approximation.pdf" target="_blank">Law of Large Numbers, CLT and Normal Approximation</a> </li>
</ul>
</br>
<li><strong>Problems</strong></li>
<ul>
<li> <a href="./PS_I.pdf" target="_blank">Problem Set 01 </a> </li>
<li> <a href="./PS_II.pdf" target="_blank">Problem Set 02 </a> </li>
<li> <a href="./PS_III.pdf" target="_blank">Problem Set 03 </a> </li>
<li> <a href="./PS_IV.pdf" target="_blank">Problem Set 04 </a> </li>
<li> <a href="./PS_V.pdf" target="_blank">Problem Set 05 </a> </li>
</ul>
</br>
<li><strong>Question Papers and Answer Keys</strong></li>
<ul>
<li> C3 Review Test: <a href="./C3_Review_Test_MS.pdf" target="_blank"> Tentative Marking Scheme</a></li>
</ul>
</br>
<li><strong>C3 Marks</strong></li>
<ul>
<li>C3 Review Test: <a href="./C3_Marks.php"><strong>Marks</strong></a> </li>
</ul>
</ul>
<h3 class="toggler-37"><a href="javascript:void(0)" style="color: grey;">SMAT430C: Convex Optimization </a></h3>
<ul class="panel-37">
<li><strong>Announcements</strong></li>
<ul>
</ul>
</br>
<li><strong>Course Outline</strong></li>
<ul>
<li>Convex Analysis: convex sets, convex functions, calculus of convex functions. </li>
<li>Optimality of Convex Programs: 1st order necessary and sufficient conditions, KKT conditions. </li>
<li>Duality: Lagrange and conic duality. </li>
<li>Linear and Quadratic Programs.</li>
<li>Conic Programs: QCQPs, SOCPs, SDPs.</li>
<li>Smooth Problems: gradient descent, Nesterov's accelerated method, Newton's methods.</li>
<li>Non-smooth Problems: sub-gradient descent.</li>
<li>Special topics: active set and cutting planes methods, proximal point method.</li>
</ul>
</br>
<li><strong>Text Books</strong></li>
<ul>
<li>S. Boyd and L.Vandenberghe, Convex Optimization. Cambridge University Press, 2004.</li>
</ul>
</br>
<li><strong>Reference Books</strong></li>
<ul>
<li>R. T. Rockafellar. Convex Analysis. Princeton University Press, 1996.</li>
<li>G. C. Calafiore and L. El Ghaoui, Optimization Models, Cambridge University Press, 2014.</li>
</ul>
</br>
<li><strong>Question Papers and Answer Keys</strong></li>
<ul>
<li> Quiz I: <a href="./2017_Q1.pdf" target="_blank"> Question Paper</a>
<a href="./2017_Q1_MS.pdf" target="_blank"> Marking Scheme</a></li>
<li> Mid-Sem: <a href="./2017_MS.pdf" target="_blank"> Question Paper</a>
<a href="./2017_MS_MS.pdf" target="_blank"> Marking Scheme</a></li>
<li> Quiz II: <a href="./2017_Q2.pdf" target="_blank"> Question Paper</a>
<a href="./2017_Q2_MS.pdf" target="_blank"> Marking Scheme</a></li>
<li> End-Sem: <a href="./2017_ES.pdf" target="_blank"> Question Paper</a>
<a href="./2017_ES_MS.pdf" target="_blank"> Marking Scheme</a></li>
</ul>
<li><a href="./results.php"><strong>Marks</strong></a>
(Formula for Total Marks = Q1 + MS + 0.8*Q2 + ES) </li>
</ul>
<h3 class="toggler-37"><a href="javascript:void(0)" style="color: grey;">SMAT330: Complex Analysis and Integral Transformations </a></h3>
<ul class="panel-37">
<li><strong>Course Outline</strong></li>
<ul>
<li>Laplace Transforms: Definition and properties, Sufficient condition of Existence,
Transforms of derivatives and integrals, Derivatives and integrals of transforms, Inverse
Laplace Transforms, Exponential shifts, Convolutions, Applications: Differential and Integral
Equations.</li>
<li>Fourier Series: Periodic functions, fundamental period, Trigonometric series, Fourier
series, Bessel's inequality, Orthonormal and orthogonal set, Euler formulas, Functions with
arbitrary periods, Even and odd functions , Half range expansions, Fourier coefficients
without integration, Approximation by trigonometric polynomials, Application to differential
equation.</li>
<li>Fourier Transforms: Fourier integral theorem, Sine and Cosine Integrals, Inverse
Transforms, Transforms of Elementary Functions, Properties, Convolution, Parsevals relation,
Transform of Dirac Delta Function, Multiple Fourier transform, Finite Fourier transform.</li>
<li>Z Transforms: Z-transforms, properties, Inverse Z- transforms, relationship with Fourier
transforms.</li>
<li>Complex Analysis: Complex numbers, Modulus, Argument, Curves and regions in complex
plane, Functions, Limits, Derivatives, Analytic functions, Cauchy-Riemann equations, Complex
exponential logarithms and trigonometric function, General powers, Line integrals, Cauchy's
theorem, Cauchys integral theorem, Cauchys integral formula, Taylor and Laurent series ,
Zeros and singularities, Residues, Residues theorem, Evaluation of real improper
integrals.</li>
</ul>
<br>
<li><strong>Text Book</strong></li>
<ul>
<li>E. Kreyszig, <i>Advanced Engineering Mathematics</i>, Wiley.</li>
</ul>
<br>
<li><strong>Reference Books</strong></li>
<ul>
<li>M. Braun, <i>Differential Equations and Their Applications</i>, Springer-Verlag, New
York.</li>
<li><a style="color: black;" href="./TRENCH_DIFF_EQNS_I.PDF" target="_blank">W. Trench, <i>Elementary Differential Equations</i></a>.
</li><li>J. Schiff, <i>The Laplace Transform: Theory and Applications</i>, Springer.</li>
<li>J. Brown and R. Churchill, <i>Complex Variables and Application</i>, McGraw-Hill.</li>
<li>G. F. Simmons, <i>Differential Equations</i>, Tata Mcgraw Hill.</li>
<li>R. Jain and S. Iyenger, <i>Advanced Engineering Mathematics</i>, Narosa.</li>
</ul>
<li><strong>Questions and Keys</strong></li>
<ul>
<li> Back Paper Examination: <a href="smat_back_paper.pdf" target="_blank"> Question Paper</a> <a href="smat_marking.pdf"
target="_blank"> Marking Scheme </a>
</ul>
</ul>
<h3 class="toggler-37"><a href="javascript:void(0)" style="color: black;">Minor in Mathematical Analysis</a></h3>
<ul class="panel-37">
I introduced a Minor in Mathematical Analysis for B.Tech. (IT, ECE & BI) students which will be opted by them from 3rd till the 7th semester. The list of the courses in this minor is: 1) Real Analysis 2) Introduction to Topology 3) Differential Geometry of Curves and Surfaces 4) Measure Theory 5) Functional Analysis.
</ul>
<h3 class="toggler-37"><a href="javascript:void(0)" style="color: black;"> PhD Courses</a></h3>
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I taught the following courses to PhD students: 1) Mathematical Analysis (Calculus of Seevral Variables, Measure Theory & Fourier Series) 2) Functional Analysis 3) Fundamentals of Discrete Mathematics.
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© 2016 Dr. Abdullah Bin Abu Baker
<a href="mailto:abdullah@iiita.ac.in">abdullah@iiita.ac.in</a>
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