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#### What You'll Learn sciPy module Mathematical analysis Computational equations Scientific research

Computational mathematics involves mathematical research in mathematics as well as in areas of science where computing plays a central and essential role, and emphasizes algorithms, numerical methods, and symbolic computations.Computational applied mathematics consists roughly of using mathematics for allowing and improving computer computation in applied mathematics. Computational mathematics may also refer to the use of computers for mathematics itself. This includes the use of computers for mathematical computations (computer algebra), the study of what can (and cannot) be computerized in mathematics (effective methods), which computations may be done with present technology (complexity theory), and which proofs can be done on computers (proof assistants).

#### Requirements

• No previous experience Required
• Only Zeal to Learn
• python shell
• Anaconda distribtion

#### Course Outline

##### Module 1 :  Scientific Computation
• Introduction to scientific computing with Python
• Introduction to Python programming
• Object oriented Programming with Python
##### Module 2 : Numpy - data arrays
• Creating 2D and 3D array
• Array Manipulation
• Numpy - Linear Algebra
• Vectorization
• Reshaping, Iteration, Concatenation ,Casting and Indexing
##### Module 3 : Matplotlib - 2D and 3D plotting in Python
• The matplotlib object-oriented API
• Figure size, aspect ratio and DPI
• Legends, labels and titles
• Control over axis appearance
• Axis number and axis label spacing
• Axis grid,Axis spines,Twin axes
• 3D figures and plot, Text annotation
##### Module 4 : SciPy - Library of scientific algorithms for Python
• Special functions
• Assumptions
• Basic Operations
• Simplification
• Category Theory
• Code Generation
• Concrete
##### Module 5 : SciPy -Algebras
• Algebra and Lie Algebra
• Linear Algebra and Matrices
##### Module 6 : Calculus and Ordinary Differential equations
• Calculus Integral , differentiation and functions
• Ordinary Differential Equation
• Differential Geometry
##### Module 7 : Numerical Analysis -Sympy
• Numeric Computation
• Numerical Evaluation
• Interpolation and Optimization

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