# Final Exam: Introduction to Math

Math    |    Beginner
• 1 video | 32s
• Includes Assessment
Final Exam: Introduction to Math will test your knowledge and application of the topics presented throughout the Introduction to Math track of the Skillsoft Aspire Essential Math for Data Science Journey.

## WHAT YOU WILL LEARN

• Perform union and intersection operations on sets recognize the differences between discrete and continuous data and outline topics in discrete mathematics create and work with sets in python, perform checks for subsets and supersets create and work with sets in python model entities and relationships in the real-world using graphs recognize the different types of graphs, their characteristics, and use cases associate attributes with the graph, individual nodes, and individual edges compute the shortest path and a minimum spanning tree for a graph compute the minimum spanning tree and the shortest path for a graph perform topological sorting in a directed acyclic graph create directed graphs using networkx recall the assumptions and benefits of integer optimization models model problems using objectives, decision variables, and constraints solve the linear programming problem graphically determine the optimal solution from feasible solutions list the steps in the simplex method to solve linear programming problems solve minimization problems using the scipy library solve linear programming problems using the pulp library recognize the assumptions and benefits of integer optimization models use lp relaxation to find a starting point for the integer programming solution formulate the integer programming model for becca luxury goods solve the manufacturing and distribution problem using pulp formulate the integer programming model for a capital budgeting problem gain a basic understanding of calculus and describe differentiation and derivatives describe differentiation and derivatives use built-in functions to compute derivatives outline how to compute the slope at a point by exploring the geometric definition of derivatives use derivatives in real-world scenarios outline how partial derivatives work compute derivatives of linearly changing functions using built-in functions
• outline derivatives and slope create partial derivatives with multiple independent variables compute the velocity of a moving particle define the integral as the limit of a sum and as the area under a curve differentiate between definite and indefinite integrals compute integrals of quadratic and polynomial functions compute integrals from first principles frame integration as inverse operations create a matrix and perform matrix operations compute determinants and transpose matrices  perform matrix multiplication recognize properties of matrices identify and work with diagonal and zero matrices compute the inverse of an invertible matrix create matrices using scipy mathematically define matrix decomposition recognize several types of matrix operations perform lu decomposition mathematically define qr and cholesky decomposition perform qr decomposition install libraries in python mathematically define eigenvectors and eigen values explore properties of eigenvalues and eigenvectors compute eigenvalues and eigenvectors of a matrix derive the characteristic equation differentiate between eigen decomposition and singular value decomposition (svd) import an image to perform svd perform singular value decomposition (svd) on a matrix simplify an image with svd

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