Diploma in Mathematics for Business Studies

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Level

Intermediate

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Last updated on June 22, 2025 9:29 pm

Learn about polynomial functions, derivatives, and the steps for distributing the definite integral to a sum or calculating difference of functions.

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Do you want to learn how to solve and graph polynomial equations? This course on mathematics for business studies teaches you the dominant rules of differentiation, trigonometric functions, and finding derivatives. Sign up today and develop your business math skills by mastering how the definite integral is distributed to a sum or how to calculate the difference of functions.

What You Will Learn In This Free Course

  • Discuss the principles used to find …
  • Outline the steps needed to draw a r…
  • Discuss the methods used to find the…
  • Analyze the definition of a derivati…
  • Discuss the principles used to find zeros of a polynomial function
  • Outline the steps needed to draw a reasonable polynomial equation graph
  • Discuss the methods used to find the slope of a curve at a point
  • Analyze the definition of a derivative and notation
  • Analyze the derivations of the sine and cosine functions
  • Outline the derivatives of other trigonometric functions
  • Analyze the applications of the derivative of in real-world problems
  • Explain the process of estimating with Riemann sums and trapezoidal approximation methods
  • Identify how to use the trapezoid approximation method instead of rectangles
  • Describe the application of distance travelled and area under a curve concept
  • Identify the variety of integration methods and techniques
  • Explain the power rule for integration and integration by u-substitution
  • Graphs of Polynomial Functions

    This module discusses the polynomial functions and the procedures used in finding zeros of a polynomial function. This module also outlines the methods used in graphing and finding the equation of a polynomial function.

    The Derivative

    This module explains the rate of change together and the techniques used in finding the slope of a curve at a point. This module also explains derivations, differentiability, and continuity, and the applications of the intermediate value theorem.

    Rules of Differentiation

    This module discusses the power rule along with the sum and difference rule. This module also analyses the derivations of trigonometric functions and implicit differentiation. Composite functions and the chain rule will also be discussed in this module.

    Derivatives of Inverse Trigonometric Functions

    This module analyses the inverse trigonometric functions and the derivatives of logarithmic functions. This module discusses the logarithmic differentiation and the applications of the derivatives. Linear approximations and Newton’s method will also be covered in this module.

    Diploma in Mathematics for Business Studies – First Assessment

    You must score 80% or more to pass this assessment.; Module

    The Definite Integral

    In this module, you will learn about formulas that can be used to conveniently compress large sums together and the method required in estimating with Riemann sums and rectangular. Study Trapezoidal approximation methods and application of distance travelled and the area under a curve analysis.

    Methods of Integration

    Study the method of integration by partial fractions that can be used and how to decompose a fractional integrand into the sum of simpler fractions. Learn about the power rule for integration and integration by u-substitution. Study the integrating natural logarithmic functions together with integrating natural exponential functions.

    Sequences and Series

    Learn about the triangular sequences, geometric sequence, binary sequence along with the power and arithmetic sequence. You will also learn about the finite sequence, the sigma laws, factorial notation together with the formulas for sums of sequences.

    Tests for Convergence

    This module will teach you the divergent test for geometric series and how to find the coefficient. Discuss the methods of determining whether or not an infinite series converges a comparison test. Study about the interval and radius of convergence of a power series.

    Diploma in Mathematics for Business Studies – Second Assessment

    You must score 80% or more to pass this assessment.; Module

    Course assessment

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      Diploma in Mathematics for Business Studies
      Diploma in Mathematics for Business Studies
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