The primary objective of this course is to introduce students some of the mathematics through which they can develop some mathematical maturity, that is enhance their ability to understand and create mathematical arguments. The secondary objective of this course is to prepare students for mathematical oriented courses in computer science such as discrete mathematics, database theory, analysis of algorithms, etc.
Determinants of order 2 and 3, properties of determinants; evaluation of determinants. Area of triangles using determinants, cramer’s rule.
Unit 2 : Matrices-1Definition, equality, addition and multiplication of matrices. Adjoint and inverse of a matrix.Solution of a system of linear equations – homogeneous and non-homogeneous.
Unit 3 : Matrices-2Elementary row operations; rank of a matrix, reduction to normal form, Inverse of a matrix using elementary row operations.
Unit 4 : Mathematical InductionPrinciple of mathematical induction -1 and 2
Definition of sequence and series; A.P, G.P, H.P and A.G.P. ?n, ?n2 and ?n3,Idea of limit of a sequence
Unit 2 : Complex NumberComplex number in the form of a+ib. Addition, multiplication, division of complex numbers.Conjugate and modulus of complex numbers. De Moivre’s Theorem.
Unit 3 : EquationsQuadratic, cubic and biquadratic equations. Relationship between roots and co-efficient.Symmetric functions of roots.
Unit 4 : InequalitiesSolution of linear and quadratic inequalities.
Concept of limit and continuity; differentiation of the sum, difference, product and quotient of two functions, chain rule. Differentiation of parametric functions. 2nd order derivatives.
Unit 2 : Simple Application of Differential CalculusRate of change; monotoncity-increasing and decreasing; maxima and minima.
Unit 3 : IntegrationIntegration as an anti-derivative. Integration by substitution and by parts.
Unit 4 : Application of IntegrationFinding area under a curve. Rectification.
Vectors and scalars, magnitude and direction of a vector. Direction cosines/ratio of vectors. Addition of two vectors. Multiplication of a vector by a scalar. Position vector of a point and section formula.
Unit 2 : Vector-2Scalar (Dot) product of vectors, Vector (Cross) product of vectors. Scalar triple product and vector triple product.
Unit 3 : Three-Dimensional Geometry-1Introduction, Distance formula. Direction cosines/ratio of a line passing through two points. Equations of a line in different forms; angle between two lines; Coplanar and skew lines. Distance between skew lines.
Unit 4 : Linear ProgrammingIntroduction, definition and related terminology such as constrains, objective function, optimization. Mathematical Formulation of LPP. Graphical method of solving LPP in two variables. Feasible and inferring solution (up to three non-trivial constraints).
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I've been learning and working in graphic design for many years. I actually picked up so many tips to make my designs look better! I love that trainer is always saying the shortcuts and where to find certain things in the programs. I have n
Had a great experience with the course, the classes touch upon both the functional and theoretical aspects of programming, and the care in responding to questions as well as obvious dedication to continue updating and improving the course a
Very professional. Honestly, this is about 2 courses worth of python in 1 course (in my opinion). Good pace, clear content, builds on each topic.
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Yes, This is the good session for me. I learned multiple things in this session like sentence formation, how can i used a,an,the articles and wh questions like where, who, what, how.....
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i joined the english speaking course because i wanted to learn english properly and improve my level of english .when i joined udemy ,i experienced a lot of thing and i gained a lot of knowledge about english. i got confidence too and now i
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This MS Excel course is very student friendly and easy to cope up with our daily work schedule.attitude academy has done an excellent job in presenting the content in simple way covering almost all the topics from beginner level to VBA.
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