course content

Course Content

Mathematics for Data Analysis and Modeling

1. Basic Mathematical Concepts and Definitions

What Is Function?What Are Number Series?Sum Of Elements Of The SeriesChallenge: Calculating Sum Of Geometric ProgressionVectors And Matrices

2. Linear Algebra

Numerical Operations On Vectors and MatricesChallenge: Calculate The Matrix Multiplication ResultMatrix DeterminantScaling Factor Of The Linear TransformationChallenge: Figures' Linear TransformationsInversed And Transposed MatricesSystem of Linear EquationsChallenge: Solving The Task Using SLEEigenvalues and Eigenvectors

3. Mathematical Analysis

Derivative of the FunctionPartial Derivative of the FunctionChallenge: Solving Task Using DerivativeOptimization ProblemChallenge: Solving the Optimisation ProblemGradient Descent MethodChallenge: Optimising Function Of Multiple Variables

Mathematics for Data Analysis and Modeling

Challenge: Solving Task Using DerivativeChallenge: Solving Task Using Derivative

Task

You have the position function that describes the dependency between the coordinate of the moving point and the time during which this point moves. Your task is to determine the velocity and acceleration functions and calculate the values in the point t=5.

  1. Use the derivative of the first order to determine velocity function.
  2. Use the derivative of the second order to determine acceleration function.
  3. Calculate velocity value at the moment t=5.

Everything was clear?

Section 3. Chapter 3
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