Josephat M.

I Josephat working under a certain degree of concernment and consistent in my, work I present myself to be among the top most clients in the platform following the work done over time. I have been in the field for some time and hereby emerge with added experiences and skills and working with the highest level of accuracy and submit the product within the specified period of time. I have an advancement in the following fields of Mathematical sector: 1. Basic Mathematics; Series: (Arithmetic and Geometric Progressions), Set Theory, Counting Principles, Complex Numbers, Proofs, Root of Unity, Elementary Logics (Deductive, Inductive, Application and Remainder Theorem), Trigonometry (Pythagorean Identities, Reciprocals, Double & Half angles), Permutation and Combinations. 2. Calculus I, II, & III; Limits & Functions, Differentiation (Product, Quotient, General Power and Chain Rules), Derivative of Exponential Functions, Logarithmic Differentiation. Integration of integrals using Basic Formula (Algebraic, Exponentials, Trigonometric), Taylor’s Series and Fourier series. 3. Vector Analysis; Vector Algebra (scalars and vector fields, vector Product, Dot Product, Cross Product and Applications of vector algebra), Vector Calculus (Differential and Riemann Line), Vector Line & Divergence of a Vector Orthogonal. 4. Operation Research; Formulating Linear programming Programs, Optimality Test, Minimization Case (Simplest, Two Phase, Big M, Transportation (North West Corner, Lowest Cost & Vogel Approximation methods), Stepping Stone, Modified and Assignment Methods, network Analysis and Queuing Theory. 5. Ordinary Differential Equations (ODE); Bernoulli First Order Equations, Methods of Solving Differential Equations: Undetermined Coefficients, Variation of Parameters, The D-Operator Methods, Equidimensional Equation, Classical Equations (Analytical functions, Ordinary, Singular, Regular & Irregular Points) and Series. 6. Probability and Statistics; Continuous Probability Density(pdf), Mathematical Expectation, Moments (Raw, Central moments & Moment Generating Functions (MGF), Bernoulli Distributions and Trials. Data Presentations, Measures of Central Tendency (median, modes, variance, deviation etc.), Correlation and Regression (Pearson product moment and Spearman’s (Rank) correlation coefficient). 7. Linear Algebra; Unit and Vector Spaces, Planes in 3-Dimensions, Linear Dependence and Independence, Linear Transformation and Mapping.