Computer Science & Engineering
Applied Mathematics-I__________________________________
1. Unit-1
2. Unit-2
3. Unit-3
4. Unit-4
5. Unit-5
6. Unit-6
7. Unit-7
8. Unit-8
9. Unit-9
10. Unit-10
|
Applied Mathematics-I Syllabus1. Topic-01
Algebra- Determents Mean and R.M.S. VALUE quadratic Equation Partial Fraction Concept and principles of determents. Properties of determents Computation of Mean and R.M.S. Value General equation of second degree, Nature of roots, Formation of Equation Class- I, II,III, IV 2. Topic-02 Trigonometry Trigonometrically ratios of multiple and submultiples Half angles, Double Angles, Triple angles General solution of Trigonometrically equation 3. Topic-03 Coordinate Geometry Coordinate S/systems Distance Division Cartesian and Polar coordinates distance between two points, Division of a line segment Standard form of the equation of a straight line Change of Axes Locus standard forms. General equation of a straight line and its rotation to the structural forms, Straight line through one and two point Transformation of coordinates when the origin is shifted or the axes are rotated 4. Topic-04 Conic Section Circle Conic Section Definition, Standard forms, General equation, Center and radius. Parabola Ellipse 5. Topic–05 Differential Calculus Functions Limit Independent and dependent variables, different type of functions, Concept of limit and its valuation 6. Topic-06 Method of Differentiation Differentiation by first principle Differentiation by first principle of Algebra, Trigonometrical, Exponential and Logarithmic functions. Differentiation of sum, Product and quotient of two functions and functions of a function 7. Topic–07 Vector Algebra Introductions Vector Addition of Vector Component of Vector Concept of Vector and Scalar Quantities Understand the Principle of addition, subtraction of Vector C0omponet of Vector, Standard unit Vectors ijk 8. Topic-08 Multiplication of Vector Scalar product and its applications, Vector products and application 9. Topic-09 Statistics Frequency Distribution central Tendency Introduction , Graphical representation , Histogram, France polygon, Frequency , Curve, Central Tendency Mean, Median , Mode6 10Topic-10 Dispersions & Deviation Measure of dispersion Range Quartile deviation Standard, Deviation Rood Mean square deviation |