Mathematics - B.SC.

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Bachelor of Science in Mathematics is an undergraduate degree programme that comes under the Science stream. The 3 years B.Sc. degree programme is one of the popular courses that is chosen by students who have an interest in Mathematics subjects.

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Total Modules :- 185

DOCE e-Content

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Backward Difference Operator:- Definition,Example
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Relation between the operator
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Forward ,Backward difference table,Newton Gregory formula & their examples
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Newton Gregory formula for forward interpolation
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Newton Gregory Formula For Backward Interpolation
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function representation in factorial notation
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Divided Difference 1
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Newton Gregory Formula For Backward Interpolation
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Newton Gregory formula for forward interpolation
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function representation in factorial notation
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Backward Difference Operator Definition
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ENVELOPE part - 5
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Envelope Part - 4
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Envelope Part-2
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Newton's formula for unequal interval1
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Relation between the operator
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Envelope part-1
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Maxima & Minima Part 1
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Jacobian | Definition | Function Determination
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Maxima & Minima :-Lagrange's method of undetermined multipliers
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Jacobian:- Part - 3
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Jacobian:- Part 2
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Jacobian:- Part 4
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Jacobian:- Part 7
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Jacobian:- Part 6
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Jacobian:- Part 5
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Double Integral:- Part 1
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Double Integral:- part 4
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Double Integral:- Part 3
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Double integral of xy dx dy
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Double Integral:- Part 5
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Triple integral:- Part 1
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Triple integral:- part 2
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Triple integral:- part 3
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Numerical Integral:- Part-1
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Lagrange's interpolation formula for unequal intervals:-Part -3
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Numerical Integration:- Part -2
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Numerical Integration :-Part -3
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Numerical Integration:- Part- 4
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Numerical Integration:- Part- 5
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Numerical Integration:- Part 7
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Numerical Integration:-Part-6
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Volume & Surface Of Solid Of Revolution:- Part 1
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Volume & Surface Of Solid Of Revolution:- Part 2
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Volume & Surface Of Solid Of Revolution:- Part 3
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Envelope:- 3
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Volume &Surface Of Solid Of Revolution:- Part 4
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Volume &Surface Of Solid Of Revolution:- Part 6
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Volume & Surface Of Solid Of Revolution:-Part 5
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Volume & surface of solid of revolution :-part 7
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Theory Of Equations :- Part-1
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Theory Of Equation:-part-2
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Theory Of Equation:- Part-3
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Theory of equations:-Part- 5
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Theory of equations:-Part -4
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Theory of equation:-Part-6
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Theory of equation:-Part-7
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Numerical sol. of algebraic & transcedential equation:-Part-1
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Theory of equation:-Part-8
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Simultaneous linear differential equation:-Part-2
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Simultaneous linear differential equation:-Part-1
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Simultaneous linear differential equation
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Definition of Total Differential Equation | Inspection method
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Homogenous total differential quation | Example solve
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Method of auxiliary equation for total differential quation | Example solve
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Properties and example of forward difference operator
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Dynamics- Radial & transverse velocity, Formulas
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Dynamic-Radial & transverse acceleration, Formulas
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Definition & formula of angular velocity & acceleration, Relation between angular & linear velocity
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Definition of Rectilinear motion, Example solve
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L1: Differential Calculus (Derivative of an arc in cartesian coordinates)
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L2: Differential Calculus (Derivative of an arc in polar and parametric form)
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L3: Differential Calculus (Derivative of an arc)
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L-4: Differential Calculus (Length of perpendicular from pole on tangent, subtangent subnormal)
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L5: Differential Calculus (Pedal Equation)
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L6: Differential Calculus (Pedal Equation)
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L7: Differential Calculus (Curvature)
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L8: Differential Calculus (Examples of curvature)
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L9: Differential Calculus (Examples of Curvature)
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L-10: Differential Calculus (Examples of curvature)
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L-11: Differential Calculus (Pedal and Polar formula for radius of curvature)
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L-12: Differential Calculus (Centre and chords of curvature)
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L-13: Differential Calculus (Examples on centre and chords of curvature)
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L-14: Differential Calculus (Radius of curvature at origin, Newton's method)
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L-15: Differential Calculus (Partial differentiation and Examples)
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L-16: Differential Calculus (Examples of partial differentiation)
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L-17: Differential Calculus (Homogeneous functions and Euler's theorem.)
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L-18: Differential Calculus (Examples on Euler's theorem)
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L-19: Differential Calculus (Total and Partial differential Coefficients, Implicit Functions)
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L-20: Differential Calculus (Introduction to Asymptotes)
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L-21: Differential Calculus (Examples on Asymptotes)
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L-1: Real Analysis (Introduction)
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L-2: Real Analysis (Introduction to Field)
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L-3: Real Analysis (Ordered field and Bounds)
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L-4: Real Analysis (Complete Ordered Field)
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L-5: Real Analysis (Neighborhood of a real number)
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L-6(Part 1):Real Analysis (Definition of limit points)
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L-6(Part 2) Real Analysis (Examples of limit points)
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L-7: Real Analysis (Bolzano Weierstrass theorem)
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L-8: Real Analysis (Definitions and examples of derived set, interior point, exterior point etc.)
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L-9: Real Analysis (Open set and its examples)
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L-10: Real Analysis (Theorems on open sets)
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L-11: Real Analysis (Closed set and its examples)
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L-12: Real Analysis (Theorems on closed sets)
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L-13: Real Analysis (Closure of a set)
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L-14: Real Analysis (Theorem on derived set and definitions of dense sets)
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L-15: Real Analysis (Definition of Compact set)
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L-16: Real Analysis (Examples of compact set)
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L-17: Real Analysis (Theorem on Compact set)
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L-18: Real Analysis (Cantor's intersection theorem)
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L-19: Real Analysis (Heine Borel theorem)
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L-20: Real Analysis (Connected sets)
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L-21: Real Analysis (R is a connected set)
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L-22: Real Analysis (Introduction to real sequences)
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L-23: Real Analysis (Limit point, Bolzano Weierstrass theorem for sequences, Limit)
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L-24: Real Analysis (Convergence of a real sequence)
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L-25: Real Analysis (Theorems on convergent sequence)
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L-27: Real Analysis (Examples of Convergence)
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L-28: Real Analysis (Examples of Convergence)
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L-29: Real Analysis (Algebra of real sequences)
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L-30: Real Analysis (Subsequences)
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L-31: Real Analysis (Cauchy Sequence)
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L-32: Real Analysis (Examples based on cauchy's general principle of convergence)
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L-33: Real Analysis (Cauchy's first and second theorem on limits)
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L-34: Real Analysis (Definition of limit and continuity)
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L-35: Real Analysis (Borel's Covering theorem)
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L-36: Real Analysis (Boundness theorem)
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L-37: Real Analysis (Mostest theorem)
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L-38: Real Analysis (Theorem of continuous function on closed interval)
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L-39: Real Analysis (Bolzano theorem for continuous functions on closed interval)
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L-40: Real Analysis (Intermediate value theorem)
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L-41: Real Analysis (Introduction to Riemann Integration)
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L-42: Real Analysis (Theorems of Darboux sums)
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L-43: Real Analysis (Theorems of Darboux sums)
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L-44: Real Analysis (Definition of upper and lower Riemann integral and Darboux theorem)
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L-45: Real Analysis (Riemann Integration and Examples )
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L-46: Real Analysis (Riemann Integration of Sinx )
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L-47: Real Analysis (Examples of Riemann Integration)
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L-1: Complex Analysis (Introduction)
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L-2: Complex Analysis (Regions in complex plane )
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L-3: Complex Analysis (Stereographic Projection)
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L-4: Complex Analysis (Limit & Continuity)
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L-5: Complex Analysis (Differentiability and Analytic Function)
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L-6: Complex Analysis (Necessary conditions for an Analytic function)
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L-7: Complex Analysis (Analytic Function examples)
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L-8: Complex Analysis (Sufficient conditions for a function to be analytic)
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L-9: Complex Analysis (Examples of Analytic Functions)
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L-10: Complex Analysis (Polar form of Cauchy Riemann equations)
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L-11: Complex Analysis (Application of polar form of Cauchy Riemann equations)
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L-12: Complex Analysis (Harmonic function)
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L-13: Complex Analysis (Milne thomsan method)
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L-14: Complex Analysis ( Examples of Milne thomsan method)
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L-15: Complex Analysis (Examples related to analytic functions)
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L-16: Complex Analysis (Examples of Analytic Functions)
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L-17: Complex Analysis (Complex Integration)
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L-18: Complex Analysis (Examples of complex line integration)
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L-19: Complex Analysis (Absolute value of Complex integral and cauchy Integral theorem)
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L-20: Complex Analysis (Lemma used to prove cauchy goursat theorem)
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L-21: Complex Analysis (Cauchy Goursat theorem )
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L-22: Complex Analysis (Extension of Cauchy theorem & Indefinite integral)
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L-23: Complex Analysis (Theorems on indefinite integrals)
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L-24: Complex Analysis (Examples of Complex integration)
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L-25: Complex Analysis (Examples of complex integration)
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L-26: Complex Analysis (Cauchy Integral formula)
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L-28: Complex Analysis (Derivative of an analytic function)
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L-29: Complex Analysis (Examples based on derivative of an analytic function)
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L-30: Complex Analysis (Morera's Theorem & Cauchy Inequality )
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L-31: Complex Analysis (Poission Integral formula)
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L-32: Complex Analysis (Taylor's Theorem)
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L-33: Complex Analysis (Laurent's Theorem)
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L-34: Complex Analysis (Examples based on Taylor and Laurent series expansion)
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L-35: Complex Analysis (Examples on Taylor and Laurent series)
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L-36: Complex Analysis (Liouville's theorem)
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L-37: Complex Analysis (Maximum and Minimum modulus Theorem)
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L-38: Complex Analysis (Schwarz lemma)
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L-39: Complex Analysis (Introduction to Singularities)
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L-40: Complex Analysis (Riemann theorem, N & S condition for an isolated singularity to be a pole)
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L-41: Complex Analysis (Casorati Weierstrass theorem)
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L-42: Complex Analysis (Theorem on zeros and poles, limit point of zeros and poles)
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L-43: Complex Analysis (Examples on singularities)
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L-27: Complex Analysis (Examples of Cauchy Integral formula)
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L-44: Complex Analysis (Singularity at infinity, Entire, Meromorphic and Rational functions)
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L-45: Complex Analysis (Residue at Singularities)
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L-46: Complex Analysis (Examples on Residue)
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L-47: Complex Analysis (Residue at infinity, Cauchy Residue theorem)
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