JSS MAHAVIDYAPEETHA 
               JSS SCIENCE AND TECHNOLOGY UNIVERSITY 
        SRI JAYACHAMARAJENDRA COLLEGE OF ENGINEERING, MYSURU-570006 
         
                                
                                      
                                
                                
                 DEPARTMENT OF MATHEMATICS  
                                
                                
         Scheme of Teaching and Examination for B.E. (I to V Semester)  
                             and  
                   Syllabus for B.E. I to V Semesters  
                                
                                
                                
                                
                   2016-2017 | 2017-2018 | 2018-2019
                                                      
         
                                                                          Semester Wise to Credits and Contact Hours 
                                         Sl. No.       Semester                         Credits                                  Contact Hours 
                                          1.                I                             4.00                                          5 
                                          2.                II                            4.00                                          5 
                                          3.               III                            4.00                                          4 
                                          4.               IV                             4.00                                          4 
                                          5.               V                              4.00                                          4 
                                                                                                     
                                                                                           Grading system 
                                                                             Marks                                 Grade 
                                                                           90 – 100                                   S 
                                                                            75 – 89                                   A 
                                                                            66 – 74                                   B 
                                                                            55 – 65                                   C 
                                                                            50 – 54                                   D 
                                                                            45 – 49                                   E 
                                                                              < 45                                    F 
                                                                                                    
                                                                                      Notations in the Scheme  
                                                                    CIE                      Continuous Internal Evaluation 
                                                                    SEE                       Semester End Examination 
                                                                     L                                   Lecture 
                                                                     T                                   Tutorial 
                                                                     P                                  Practical 
                                                                                                    
                                                                                                    
                                                                                                                                                                                                  
       
                                                                                                                     JSS MAHAVIDYAPEETHA 
                                                                                                 JSS SCIENCE AND TECHNOLOGY UNIVERSITY 
                                                                                                               DEPARTMENT OF MATHEMATICS 
                                                                                          Scheme of Teaching and Examination for B.E. (Mathematics) 
         
         
          Sl                                                                                                                                                       Credits                                                       Marks                       Exam 
           .      Semeste Subject code                                      Course title                              Branches                                                                        Contac                                  Tota        duration 
          N             r                                                                                                                           L            T           P          Total         t hours          CIE         SEE            l         in hrs 
           o 
           1             I                MA110                Engineering Mathematics – I                          All branches                    3             1          0            04              05            50          50         100             03 
                                                                     (Advanced Calculus) 
           2            II                MA210                 Engineering Mathematics-II                          All branches                    3             1          0            04              05            50          50         100             03 
                                                                   (Multivariable Calculus) 
           3            III               MA310                     Fourier series, Integral                     EC, CS, EE, EI, 
                                                                         Transforms and                                     IS                      4             0          0            04              04            50          50         100             03 
                                                                            Applications. 
           4            III               MA311                                                                  CIV, CTM, ENV, 
                                                               Computational Mathematics                            PST, BT, IP,                    4             0          0            04              04            50          50         100             03 
                                                                                                                         MECH 
           5            III           MATDIP310                                                                             All 
                                                                  Advanced mathematics-I                        branches(Lateral                    3             0          0            00              03            00         100         100             03 
                                                                                                                  entry students) 
           6           IV                 MA411                       Probability, Random                        EC, CS, EE, EI, 
                                                                  variables and Stochastic                                  IS                      4             0          0            04              04            50          50         100             03 
                                                                              processes 
           7           IV                MA410A                    Fourier Series, Integral                      CIV, CTM, ENV                      4             0          0            04              04            50          50         100             03 
                                                               Transforms and Applications 
           8           IV                MA410B                    Fourier Series, Integral                      MECH, IP, PST                      4             0          0            04              04            50          50         100             03 
                                                               Transforms and Applications 
           9           IV             MATDIP410                                                                     All branches 
                                                                  Advanced Mathematics-II                          (Lateral entry                   3             0          0             0              03            00         100         100             03 
                                                                                                                       students) 
          10            V                 MA510                Computational Mathematics                                  EEE                       4             0          0            04              04            50          50         100             03 
          11            V                MA510A                Linear Algebra                                             CSE                       4             0          0            04              04            50          50         100             03 
                                                                                                                                                                                                                                                                            
         
                                         Syllabus for the Year 2016-17 
                                                            
                                          Department of Mathematics 
         
        Subject Name & Code                             Engineering  Mathematics-I  (Advanced 
                                                        Calculus) (MA110) 
        No. of Teaching Hours – 5h/week                 Credits 3:1:0  L - T - P 
        CIE Marks : 50                                  SEE  Marks :- 100 
      
           Total Teaching hours: 39(L) +26(T) =65                                                              No. of 
                                                                                                 Credits: 04     
        Course Objectives:  
        To  equip  the  student  with  the  mathematical  tools,  from  calculus  and  differential 
        equations, necessary to understand topics covered in the engineering disciplines. 
        Course Outcome: Students should be able to: 
        1.  Discuss the nature of polar curve and use these concepts to find different parameters 
            and understand mean value theorems and its applications. 
        2.  Apply the concepts of functions of several variables to calculate rate of change of 
            multivariate functions. 
        3.  Understand the concepts of limits, sequences, series, convergence, divergence and 
            region of convergence and apply these in engineering problems. 
        4.  Recognize  and  solve  first-order  ordinary  differential  equations,  Newton’s  law  of 
            cooling. 
        5.  Will able to interpret and analyse the data. 
         
        1. Curve tracing and tracing of standard curves; Polar curves, angle between the radius 
        vector  and  tangent  at  a  point,  pedal  equation;  mean  value  theorems,  Polynomial 
        approximation and Taylor's theorem; Indeterminate forms.                                      
                                       – 10hrs  
        2. Partial differentiation: homogeneous functions, implicit functions, Jacobians, Taylor's 
        theorem in two variables, error estimation; Applications of Partial differentiation, maxima 
        and minima of functions of several variables, Lagrange multipliers.                                     
                                - 10hrs 
        3. Infinite sequences and series, convergence and divergence, standard examples. 
                 - 3hrs 
        4. Integral calculus: Reduction formulae; beta and gamma functions                                   - 
        6 hrs 
        5. Differential equations: Solutions of first order ODEs; orthogonal trajectories (cartesian / 
        polar curves).                                                                                           
        -6hrs  
        6. Statistics:  Treatment of data: measures of central tendency – mean, median, mode 
        and quartiles; measures of dispersion – std. Deviation, moments, skewness, kurtosis. 
                   - 4hrs 
         
        Text Books: 
        1. Advanced Engineering Mathematics, Erwin Kreizyg 
        2. Introductory Statistics, Sheldon Ross, 2nd Edition (2006) 
         
        References: 
        1. Advanced Calculus, David V Widder, Prentice-Hall, Second Edition. 
        2. Calculus I and II, T. M. Apostol