Mathematics-III(BCA-IV)

BCA-IV

Mathematics-III Here is the list of all the Solution: UNITS -I(Hand-written Notes) Complex Number System VIEW  Algebra of Complex Numbers      VIEW Polar Form, Powers, and Roots       VIEW Functions of Complex Variables                                             VIEW  Elementary Functions VIEW Inverse Trigonometric Function          VIEW      UNITS -II(Hand-written Notes) Sequence, Finite and Infinite Sequences VIEW Monotonic Sequence, Bounded Sequence       VIEW Limit of a Sequence, Convergence of a Sequence       VIEW Series, Partial Sums, Convergent Series         VIEW  Theorems on Convergence of Series (statement,  alternating series, conditional convergent) VIEW Leibnitz Test, Limit Comparison Test                                     VIEW Ratio Test, Cauchy’s Root Test       VIEW Convergence of Binomial and Logarithmic Series        VIEW Raabe’s Test, Logarithmic Test       VIEW Cauchy’s Integral Test (without proof)        VIEW      UNITS -III(Hand-written Notes) VECTOR CALCULUS: Differentiation of Vectors VIEW Scalar and Vector Fields                                                                  VIEW Gradient, Directional Derivatives       VIEW Divergence and Curl and their Physical Meaning         VIEW      UNITS -IV(Hand-written Notes) FOURIER SERIES: Periodic Functions                                   VIEW Fourier Series of Even and Odd Functions       VIEW Half Range Series       VIEW      UNITS -V(Hand-written Notes) ORDINARY DIFFERENTIAL EQUATIONS  OF FIRST ORDER VIEW Variable- Separable Method       VIEW Homogeneous Differential Equations       VIEW Exact Differential Equations         VIEW  Linear Differential Equations VIEW Bernoulli’s Differential Equations          VIEW Differential Equations of First Order                                  VIEW First Degree by Integrating Factor        VIEW      UNITS -VI(Hand-written Notes) ORDINARY DIFFERENTIAL EQUATIONS  OF SECOND ORDER VIEW Homogenous Differential Equations  with Constant Coefficients       VIEW Cases of Complex Roots and Repeated Roots       VIEW Differential Operator         VIEW Solutions by Methods of Direct Formulae  for Particular Integrals VIEW Solution by Undetermined Coefficients          VIEW Cauchy Differential Equations, (Real and  Distinct Roots)       VIEW Operator Method for Finding Particular Integrals,  (Direct Formulae).        VIEW