Faculty ID 51686 Faculty Name SOMNATH BERAFaculty Designation Assistant Professor Grade 2School School of Advanced SciencesCabin Faculty Department Department of MathematicsFaculty Email [email protected] intercom Faculty Mobile Number 8116320688

Faculty ID 51686 Faculty Name SOMNATH BERAFaculty Designation Assistant Professor Grade 2School School of Advanced SciencesCabin Faculty Department Department of MathematicsFaculty Email [email protected] intercom Faculty Mobile Number 8116320688

RAJASTHAN TECHNICAL UNIVERSITY, KOTAScheme & Syllabus of First Year B. Tech. effective from Session 2019-20 onwards Page 1SYLLABUSI SemesterCommon to all branches of UG Engineering & Technology1FY2-01: Engineering Mathematics-ICredit: 4 Max. Marks: 200 (IA:40, ETE:160)3L+1T+0P End Term Exam: 3 HoursSN CONTENTS Hours1Calculus:Improper integrals (Beta and Gamma functions) and their properties;Applications of definite integrals to evaluate surface areas andvolumes of revolutions.82Sequences and Series:Convergence of sequence and series, tests for convergence; Powerseries, Taylor's series, series for exponential, trigonometric andlogarithm functions.63Fourier Series:Periodic functions, Fourier series, Euler‟s formula, Change ofintervals, Half range sine and cosine series, Parseval‟s theorem.64Multivariable Calculus (Differentiation):Limit, continuity and partial derivatives, directional derivatives, totalderivative; Tangent plane and normal line; Maxima, minima andsaddle points; Method of Lagrange multipliers; Gradient, curl anddivergence.105Multivariable Calculus (Integration):Multiple Integration: Double integrals (Cartesian), change of order ofintegration in double integrals, Change of variables (Cartesian topolar), Applications: areas and volumes, Centre of mass and Gravity(constant and variable densities); Triple integrals (Cartesian), Simpleapplications involving cubes, sphere and rectangular parallelepipeds;Scalar line integrals, vector line integrals, scalar surface integrals,vector surface integrals, Theorems of Green, Gauss and Stokes.10TOTAL 40RAJASTHAN

Student_IDFirst_NameLast_NameDOBEmailMajorAllowance1JohnDoe2001-01-15john.doe@example.comComputer [email protected] Administration40003AliceJohnson2001-11-25alice.johnson@example.comElectrical [email protected] Engineering35405CarolBrown1988-07-12carol.brown@example.comBusiness Administration60006AyeyiDjan1999-04-02ayeyi.djan@ashesi.edu.ghComputer Science8000 Student_IDScore180272310425590660 Flag question: Question 3Question 3Tips5 ptsThe Mastercard Foundation wants to find the majors are being paid an allowance greater than 7000. Write a MySQL statement to show this.

Student_IDFirst_NameLast_NameDOBEmailMajorAllowance1JohnDoe2001-01-15john.doe@example.comComputer [email protected] Administration40003AliceJohnson2001-11-25alice.johnson@example.comElectrical [email protected] Engineering35405CarolBrown1988-07-12carol.brown@example.comBusiness Administration60006AyeyiDjan1999-04-02ayeyi.djan@ashesi.edu.ghComputer Science8000 Student_IDScore180272310425590660 Flag question: Question 3Question 3Tips5 ptsDr Stephane Nwolley wants to identify the students with a score greater than the average. Write a MySQL statement to identify these students. Display the student names (Join first name and last name and call it full_name), the score of the student, and their major.View keyboard shortcutsEditViewInsertFormatToolsTable12ptPreformattedprecodeView keyboard shortcutsAccessibility checker24 words</>Switch to the html editorFullscreen Flag question: Question 4Question 4Tips5 ptsAshesi wants to collaborate with MTN to be able to send students SMS when they receive their allowance. Write a MySQL statement to make a view called allowance_view that displays the student's full name in one column, their major, and their allowance.

Student_IDFirst_NameLast_NameDOBEmailMajorAllowance1JohnDoe2001-01-15john.doe@example.comComputer [email protected] Administration40003AliceJohnson2001-11-25alice.johnson@example.comElectrical [email protected] Engineering35405CarolBrown1988-07-12carol.brown@example.comBusiness Administration60006AyeyiDjan1999-04-02ayeyi.djan@ashesi.edu.ghComputer Science8000 Student_IDScore180272310425590660 Flag question: Question 3Question 3Tips5 ptsDr Stephane Nwolley wants to identify the students with a score greater than the average. Write a MySQL statement to identify these students. Display the student names (Join first name and last name and call it full_name), the score of the student, and their major.