engineering syllabus mumbai university revised SEMESTER 1
IMPORTANT
1.Subjects are arranged from Hard to Easy.
2.Finish study of hard subject FIRST, easy subjects can be completed in 1 week time
3.DO NOT under any circumstances, try and cover all the topics here ,leave out 25% in all subjects,and the rest 75% be a master of it. If you try and be a hero ,you will fail.
Applied Mathematics I
Complex numbers. 1.1.1 Review of complex numbers. Cartesian, Polar and Exponential form of a complex number. 1.1.2 De Moiver’s Theorem (without proof). Powers and roots of Exponential and Trigonometric functions. 1.1.3 Circular and Hyperbolic functions. Complex numbers and successive differentiation. 1.2.1 Inverse circular and Inverse Hyperbolic Functions Logarithmic functions 1.2.2 Separation of real and imaginary parts of all types of functions. 1.2.3 Successive differentiation –nth derivative of standard functionseax, (ax=b)1, (ax=b)m, (ax=b)m, log (ax + b) sin (ax + b) Cos (ax+b). eax sin (bx+c). eax cos (bx+c). 1.2.4 Leibnitz’s theorem (without proot) and problems. Partial differentiation 1.3.1 Partial derivatives of first and higher order, total differential coefficients, total differentials, differentiation of composite and implicit functions. 1.3.2 Euler’s theorem on Homogeneous function with two and three independent Variables (with proof), deductions from Euler’s theorem. Application of partial differentiation, Mean Value theorems 1.4.1 Errors and approximations. Maxima and Minima of a function of two independent variables. Lagrange’s method of undetermined multipliers with one constraint. 1.4.2 Rolle’s theorem, Lagrange’s mean value theorem, Cauchy’s mean value theorem (all theorems without proof). Geometrical interpretation and problems. Vector algebra & Vector calculus 1.5.1 Vector triple product and product of four vectors. 1.5.2 Differentiation of a vector function of a single scalar variable. Theorems on derivatives (without proof). curves in space concept of a tangent vector (without problems) 1.5.3 Scalar point function and vector point function. Vector differential operator del. Gradient, Divergence and curl definitions, Properties and problems. ApplicationsNormal, directional derivatives, Solenoidal and lrrotational fields. Infinite series, Expansion of functions and indeterminate forms. 1.6.1 Infinite seriesIdea of convergence and divergence. D’ Alembert’s root test, Cauchy’s root test. 1.6.2 Taylor’s theorem (Without proof) Taylor’s series and Maclaurin’s series (without proof) Expansion of standard series such as ex, sinx, cosx, tanx, sinhx, coshx, tanhx, log(1+x), sin1x – tan1x, binomial series, expansion of functions in power series. 1.6.3 Indeterminate forms . sin 1 , , 0 , , 0 , , 0 0 0 iesalso volvingser problem rule BHospitals x x x x x – ¥ ¥ – ¥ ¥ 
Engineering Mechanics
01 1.1 Systems of Coplanar Forces: Resultant of concurrent forces, parallel forces & Non concurrent Non parallel system of forces. Moment of Force about any point, Couples, Varignon’s Theorem. Distributed forces in plane. 1.2 Introduction to Centroid & Centre of Gravity, Introduction to Moment of Inertia & its theorem.
02 2.1 Equilibrium of system of coplanar forces : Condition of equilibrium for concurrent forces, Parallel forces & Non concurrent Non parallel general system of forces & couples. 2.2Types of supports, loads, beams. Determination of reactions at supports for various types of loads on beams. 2.3 Analysis of plane trusses by using Method of Section and Method of joints. 03 3.1 Friction : Introduction to laws of friction, Cone of friction, Equilibrium of bodies on inclined plane. Application of problems involving wedges, ladders, screw friction. 3.2 Belt friction: transmission of power by belts and ropes, centrifugal and initial tension in the belts and ropes. Condition of maximum power transmission. Flat belts and flat pulleys & ropes on grooved pulleys. 04 4.1 Kinematics of Particle: Velocity and acceleration in terms of rectangular coordinate system, Rectilinear motion. Motion along plane curved path. Tangential and Normal components of acceleration. Motion Curves (at, vt, st curves). Projectile motion. Relative motion. 05 5.1 Kinematics of Rigid Bodies Introduction to general plane motion, Instantaneous center of rotation for the velocity, velocity diagrams for bodies in plane motion,(up to two linkage mechanism) 06 6.1 Kinetics of particles Introduction of basic concepts., Newton’s second law, work energy principle, D’Alembert’s principles, equation of dynamic equilibrium. 6.2 Moment of Energy principles: Linear momentum, principle of conservation of momentum, Impact of solid bodies, direct and oblique impact, impact of solid bodies, semi elastic impact and plastic impact. 
BEE
Prerequisite A. Concepts of c.m.f, potential difference & current, battery. B. Capacitors, with uniform & composite medium, energy stored in a capacitor, RC time constant. C. Magnetic field, magnetic circuit, Faraday’s laws of electromagnetic induction, Hysteresis & Eddy current losses, energy stored in an inductor time constant in RL Circuit. 1. DC circuits: (only independent sources). Ohm’s law resistance, receptivity, series & parallel connections, star delta transformation, power dissipation in resistance, effect of temperature on resistance. Kirchhoffs laws Mesh laws Mesh & Nodal analysis. Source transformation, Superposition, Thevenin’s. Norton’s and Maximum power transfer theorems. 2. AC circuits: Generation of alternating voltage & currents, R.M.S. & Average value form factor crest factor A.C. Through resistance inductance & capacitance. RL,RC & RLC series & parallel circuits, phasor diagrams. Power & power factor, series & parallel resonance. Problems by analytical as well as phical methods. 3. Three phase circuits: Three phase voltage & current generation, star & delta connections (balanced load), relationship b between phase & line currents and voltages, phasor diagrams, measurement of power by two wattmeter method. Problems by analytical as will graphical methods. 4. Single phase transformer: Construction, working principle, c.m.f. equation, ideal & practical transformer, phasor diagrams, equivalent circuit, O.C.& S.C. tests, efficiency & regulation. All day efficiency. 5. Electrical Machines: (No numerical is expected). • DC Generators & Motors: Construction, working principle, e.m.f. equation, classification & applications. • Three phase Induction Motor: construction, working principle, squirrel cage rotor & phase wound rotor, production of rotating magnetic field, slip. • Single phase Induction Motor: Construction working principle, double field revolving theory, split phase, capacitor start, & shaded pole motor. 6. A. Semiconductor Devices: (No numerical is expected) PN Junction diode, Zener diode, their construction, working and characteristics. BJT its construction, characteristics & applications. (only CE configuration) B. Rectifiers: (No numerical is expected) Analysis of half wave & full wave rectifier with resistive load and its parameters ripple factor rectification efficiency, regulation. Rectifier circuit with capacitive filter only. 12. Study of electrical machines. 
CP 1
01 Structured Programming using C++ 1.1.C++ as a superset of C programming language 1.2.C++ Fundamentals: Character set, identifiers and Keywords, data Types, constants, and Variables Declarations, Operators & Expression, Library functions, statements, Symbolic Constants, Preprocessor directives 02 2.1. Data Input and Output: getchar(), putchar() scanf(), gets() puts(), cin, cout, setw(), endi etc. 2.2. Control Statements: If else, while, dowhile, go to, for statements, nested control structures, switch, break, continue statements, comma operator. 03 3.1 Functions: Functions prototypes. passing arguments to a function by value and by reference, recursion, over loading functions, storage classes 3.2. Arrays: Definingprocessing array, passing arrays to function introduction to Multidimensional arrays, arrays and strings. 04 4.1 Pointers Declaration Referencing and dereferencing, passing pointers to functions pointer to functions, pointer to arrays Creation and manipulation of linked list 4.2. Structures and Unions: Defining and processing a structure, 05 5.1 Introduction to object Oriented Programming in C++ 5.2. Classes, Objects, data encapsulation, access specifies: Private, public and protected, inheritance in details, operator overloading of Unary and Binary arithmetic operators, virtual functions, pure virtual functions. 06 6.1 late binding, friend functions, Object as function parameter overriding functions and over loaded constructors copy constructor, static class members. 
Applied Chemistry –I
01 Polymers: Introduction, classification, Hydrocarbon Molecules, Thermoplastic, Thermosetting Polymers. Basic Concepts Molecular Weight, Molecular Shape, Polymer Crystallinity. Crystallization, Meting & Glass Transtition Phenomena. Viscoelasticity, Deformation Fracture, Defects in Polymers. Polymerization addition, Polymerization Copolymerization and Condensation Polymerization. Advanced polymer Material, Conductiong Polymers Electrical Properties of Polymers. Liquid Crystal Properties Molecular Electronics & Polymers & Supramolecular Chemistry. Fabrication of Polymers i)Compression Moulding ii) Injection Moulding iii) Transfer Moulding iv) Extrusion Moulding Synthesis Properties & uses of PE PMMA Formaldehyde resign Polymer composite Materials. 2 Water: Hardness of water, effect of hard water in the manufacture sector types of hardness, determination of hardness by EDTA method and Problems. Softening of water by i) Lime soda method with equations in general Hotcld lime soda method and problems ii)zeolite process & problems iii) Lon exchange method iv) reverse osmoses, ultrafiltration & its industrial application. Methods to determine extent of water pollution i) BOD ii) COD. Methods to control water pollution. Industrialization materials cycle & pollution. Recycling issues. 3 Lubricants Definition, classification, characteristic properties, problems on acid value and saponification value. Theories of lubrication. Additives for lubricants, selection of lubricant. 4 Energy: Classification Solar energy, hydropower, wind power Biomass energy using bio technology Hydrogen as a fuel Solar energy, Production of electricity using solar energy Rechargeable alkaline storage batteries, Nickel Hydrogen Batteries. Rechargeable Lithium ionbatteries
5 Phase Rule and steels: Gibbs Phase Rule, One Component System Water, Two Component System Ironcarcon Equilibrium Diagram with Microstructures. Limitations & Application of Phase Rule. Plain Carbon Steel.Limitations. Introduction to Alloy Steels, special steels. Principles of shape memory effect & its applications.
6 Nanomaterials: Introduction to nanomaterials. Graphite, fullerenes carbon nanatubes, nanowires, nanocones, Haeckelites. Their electronic and mechanical properties Production methods for CNTS. Applications of nono materials in i) Medicine ii) Catalysis iii) Environmental Technologies iv) Environmental & related fields. v) Mechanics.

Applied Physics I
01 Crystallography & Xrays: Lattice basis, crystal axes, unit cells, lattice parameters & crystal systems, SC, BCC, FCC, diamond, Nacl, Zinc blend and HCP crystal structures, Miller indices. Planes & directions, Liquid crystals & phases, LCD display & its specifications. Xrays origin of xrays and xray spectra, xray diffraction & Bragg’s is law and determination of crystal structure. Real crystals crystal imperfections, point defects and dislocations. 02 Physics of Semiconductors: Classification of solids, FermiDirac statistics, concept of Fermi level & its variation with temperature, impurity and applied voltage. Intrinsic & extrinsic carrier concentrations, carrier drift, mobility resistivity and Hall effect, carrier diffusion, Einstein’s relations, current density & continuity equations. Energy band diagrams of pn junction, formation of depletion region, derivation for depletion layer width. 03 Super conductivity: Critical temperature, critical magnetic field, Type I Type II suppr conductors, high Tc super conductors. Meissner effect, josephson effect. SQUIDS, plasma confinement, Maglev. 04 Acoustics: acoustics of Building, Absorption, Importance of Reverberation Time, Units of Loudness, Decible, Phon. Conditions for Good Acoustics methods of Designs for Good Acoustics, determination of Absorption coefficient, Noise Opllution. 05 Ultrasonics: Principles of production, piezoelectric & mangetostriction effect. Piezoelectric & mangetostriction oscillator: ultrasonic materials quartz & ferroelectric materials, cavitations effect. Applications based on cavitation effect and echo sounding, ultrasonic imaging & medical diagnosis. 05 06 Electron optics: Electostatic & Magnetostatic focusing system Construction & working of CRT, CRO & its applications. 
How to solve mech kt
do all 100% theory+derivations, numericals can be hard so avoid