The Pra The Pra 3 CC MATH- 3 (301) BSMAT301CC CC Calculus and linear algebra (CLA) 70 30 3 100 3 CC MATH- 4(302) BSMAT301CC CC Numerical analysis (NAC) 70 30 3 100 3 BSMAT301PR PR Practical (PR-1) 50 1.5 50 3 BSMAT302PR PR Practical (PR-2) 50 1.5 50 Sem CC Old Paper Code New Paper Code Type Paper Name Marking scheme Credit Total Remarks External Internal The Pra The Pra 4 CC MATH (401) BSMAT401CC CC Advanced calculus (ACC) 70 30 3 100 4 CC MATH (401) BSMAT402CC CC Advanced linear algebra (ALA) 70 30 3 100 4 PC- MATH 401 BSMAT401PR PR Practical (PR-1) 50 1.5 50 4 PC- MATH 402 BSMAT402PR PR Practical (PR-2) 50 1.5 50 Old Paper Code New Paper Code Paper Name Marking scheme Credit Remarks External Internal
The Pra The Pra 5 CC MATH 501 BSMAT501CC CC Group Theory (CCG) 70 30 3 100 5 CC MATH 502 BSMAT502CC CC Mathematical Analysis – I(MAS) 70 30 3 100 5 CC MATH 503 BSMAT503CC CC Differential Equations (DES) 70 30 3 100 5 CC MATH 504 A BSMAT504CC CC Boolean Algebra(BAR) 70 30 3 100 Any One Paper Form 5 CC MATH 504 B BSMAT505CC CC Mechanics 70 30 3 100 Any One Paper Form 5 CC MATH 504 C BSMAT506CC CC Operations 70 30 3 100 Any One Paper Form 5 PC- MATH 501 BSMAT501PR PR PC 501(PR1) 50 1.5 50 5 PC- MATH 502 BSMAT502PR PR PC 502(PR2) 50 1.5 50 5 PC- MATH 503 BSMAT503PR PR PC 503(PR3) 50 1.5 50 5 PC- MATH 504 BSMAT504PR PR PC 504(PR4) 50 1.5 50 Sem CC Old Paper Code New Code Paper Type Paper Name Marking scheme Credit Total Remarks External Internal The Pra The Pra 6 CC MATH 601 BSMAT601CC CC Abstract Algebra(AAC) 70 30 3 100 6 CC MATH 602 BSMAT602CC CC Mathematical Analysis – ii(MAS) 70 30 3 100 BSMAT506CC
6 CC MATH 603 A BSMAT603CC CC General Topology(GYC) 70 30 3 100 Any One Paper Form 6 CC MATH 603 B BSMAT604CC CC Number Theory(NTR) 70 30 3 100 Any One Paper Form 6 CC MATH 604 A BSMAT605CC CC Gaph Theory(GTR) 70 30 3 100 Any One Paper Form 6 CC MATH 604 B BSMAT606CC CC MECHANICS II(Mii) 70 30 3 100 Any One Paper Form 6 CC MATH 604 C BSMAT607CC CC Operations 70 30 3 100 Any One Paper Form 6 PC- MATH 601 BSMAT601PR PR PC 601(PR1) 50 1.5 50 6 PC- MATH 602 BSMAT602PR PR PC 602(PR2) 50 1.5 50 6 PC- MATH 603 BSMAT603PR PR PC 603(PR3) 50 1.5 50 6 PC- MATH 604 BSMAT604PR PR PC 604(PR4) 50 1.5 50 B.Sc. Programme-CBCS-Semester-Grading pattern Semester end Examination Format for Question Paper Elective Courses in mathematics All Semesters Time: 2Hrs Marks: 50 Part A BSMAT604CC
HEMCHANDRACHARYA GUJARAT UNIVERSITY, PATAN Programme code : BSMAT Programme Name : Mathematics Course Code BSMAT202ES Semester : 2 Industrial Mathematics- II (IM-II) Course type : Elective Subject Credit : 02 Teaching time (hours) Examination Marking scheme Theory (hrs) Practical (hrs) Internal (Marks) External (Marks) Total (Marks) 4 X 15 = 60 15 35( of 3 hrs) 50 HEMCHANDRACHARYA NORTH GUJARAT UNIVERSITY, PATAN Programme code : BSMAT Programme Name : Mathematics Course Code BSMAT203ES Semester : 2 Business Mathematics-II (BM-II) Course type : Elective Subject Credit : 02 Teaching time (hours) Examination Marking scheme Theory (hrs) Practical (hrs) Internal (Marks) External (Marks) (Marks) 4 X 15 = 60 15 35( Paper of 3 hrs) 50 HEMCHANDRACHARYA NORTH GUJARAT UNIVERSITY, PATAN Programme code : BSMAT Programme Name : Mathematics Course Code BSMAT301CC Semester : 3 Calculus and linear algebra (CLA) Course type : Core Course Total Credit : 03 Teaching time (hours) Examination Marking scheme Theory (hrs) Practical (hrs) Internal (Marks) External (Marks) 4 X 15 = 60 30 70 ( Paper of 3 hrs) 100 Unit No. Topic No. Content Hrs. Marks W + % Credit 1. LIMIT , CONTINUITY AND PARTIAL DERIVATIVES Function of severable variables, limits and continuity, partial derivatives,Differentiability and differential, Conditions for commutativity of d independent variables in higher ordered derivatives, Derivatives of implicit functions 3 2 APPLICATION OF PARTIAL DERIVATIVES Euler’s theorem on homogeneous function, Extrema of function of severable variables, Application of Lagranges method of undetermined multiplies, Tailor and Maclorin’s expansion for function of two variables, Tangent line and
and Isomorphism of Boolean Algebras,Atoms,Unique representation Theorem,Properties Of Set of Atoms,Stone’s representation Theorem. 3 Boolean Variables,Boolean Expression,Min term,Maxterm,Representation of Boolean Expression as a sum of Product Cannonical Form and as aProduct of Sum Cannonical Fofm,Boolean Function Associated With Boolean Expression,Symmetric Boolean Expression,Represantation of Boolean Functions And Minimization of Boolean Expression:Using Truth Table,Cube array Method,Karnaugh’s Method,Circuit Diagrams. Reference Books: NO Book Name 1 An Introduction To Discrete Mathematics -Udayan M.Prajapati, Dr.Ajay S. Gor, Prakashan 2 Discrete Mathematical Structures With Applications to Computer Science by Trembley I.P.AndMahonar R. 3 Discrete Mathematical Structures With applications to Computer Science by R.Hamming and E.A.Feigenbaum 4 Discrete Mathematical Structures for Computer Science by B.Kolman and R.C.Busy 5 The Essence of Discrete Mathematics by Neville Dean HEMCHANDRACHARYA NORTH GUJARAT UNIVERSITY, PATAN Programme code : Programme Name : Mathematics Course Code BSMAT505CC Semester : 5 Mechanics –i(CCM) Course type : Core Course Total Credit : 03 Teaching time (hours) Examination Marking scheme Theory (hrs) Practical (hrs) Internal (Marks) External Total (Marks) 4 X 15 = 60 30 70 ( of 3 hrs) 100 Unit No. Topic No. Content Hrs. Marks W + % Credit 1. Method of Statics: Fundamental for Newtonian Mechanics, Scalar field, Gradient Vector, Equilibrium of a particle and system of particles. 3 2 Necessary and Sufficient conditions for Equilibrium, Equipollent system of forces. Reduction of general force system. Principles of virtual work and potential energy. 3 Mass centre of system of particles, Potential energy, Friction, Flexible Cables.
6 Discrete Mathematical Structures With applications to Computer Science by R.Hamming and E.A.Feigenbaum 7 Discrete Mathematical Structures for Computer Science by B.Kolman and R.C.Busy 8 The Essence of Discrete Mathematics by Neville Dean HEMCHANDRACHARYA NORTH GUJARAT UNIVERSITY, PATAN Programme code : BSMAT Programme Name : Mathematics Course Code BSMAT606CC Semester : 6 MECHANICS II(Mii) Course type : Core Course Credit : 03 Teaching time (hours) Examination Marking scheme Theory (hrs) Practical (hrs) Internal (Marks) External Total (Marks) 4 X 15 = 60 30 70 ( Paper of 3 hrs) 100 Unit No. No. Content Hrs. Marks W + % Credit 1. Plane Kinematics, Tangential and Normal components of velocity and acceleration, Radial and tranverse components. Motion of a rigid body parallel to a plane. Linear momentum and conservation of energy for a particle and for a system of particles. Projectile without resistence. 3 2. Harmonic Oscillators. General motion under central force and Central Orbits, Planetary Orbits. Kepler’s laws of motion. 3. Moment of inertia. Kinetic energy and angular momentum. Rotation of a body about a fixed axis. General motion of a cylinder parallel to a fixed plane. Compound pendulum. Plane impulsive motion. Impulsive force. Principle of linear and angular momentum. Collision of sphere and coefficient of restitution. Examples. Reference Books: NO Book Name 1 Synge and Griffith: Principal of Mechanics 2 S.L.Loney : Statics,Macmillan and company, London. 3 R.S.Verma : A Text book on Statics,Pothishala Pvt. Ltd., Allahabad.
4 S.L.Loney : An elementary treatise on the Dynamics of a particle and rigid bodies.,Cambridge University press 1956. 5 Mechanics : Dr. L.K.Patel. HEMCHANDRACHARYA NORTH GUJARAT UNIVERSITY, PATAN Programme code : BSMAT Programme Name : Mathematics Course Code BSMAT607CC Semester : 6 Operations Research-Ii(Oii) Course type : Core Course Total Credit : 03 Teaching time (hours) Examination Marking scheme Theory (hrs) Practical (hrs) Internal (Marks) External Total (Marks) 4 X 15 = 60 30 70 ( Paper of 3 hrs) 100 Unit No. Topic No. Content Hrs. Marks W + % Credit 1. Network Models- Concept of Networks. Transportation Problem- Introduction, general method of a T.P., unbounded T.P. NWCM, Least cost method, VAM methods to find the initial solution, Dual of a T.P. and MODI method, degeneracy in a T.P., variatons in T.P.- Maximization T.P. and prohibited routes. Assignment Problem- General model of A.P.(A.P. as a special case of a T.P.) Hungarian Method of solving a A.P., variations in a A.P.- maximization, prohibited assignments. 3 2. Sequencing Problem : Methods of sequencing, Johnson’s Algorithm for a two machine problem, three machine problem and M-machine problem, Processing Two jobs through M- machines