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    • Calculus in Maths- Definition, Types, Formulas, and Examples

    • Course Information:

      Course Name: Differential and Integral Calculus
      Course Code: 0541-214
      Credit: 3

      Instructor's Profile:

      Name: Asmani Akter
      Designation: Lecturer
      Mobile: 01754-016701
      Email: asmaniakteryea@gmail.com


    • Course Introduction:

      An introduction to differential and integral calculus, with an emphasis on applications, designed primarily for business, economics, and social sciences. Topics include limits, the first and the second derivative, the first and second derivative tests for relative extrema; exponential and logarithmic functions; the definite and indefinite integral, and the Fundamental Theorem of Calculus. Calculus will be used to solve real world applications.

      Course Objectives:

      By the end of the course, student will be able to:

      • Remembering and Understand the rules of differentiation in different functions, rules of integration in a different function, Optimization method using differentiation, uninhibited growth model, model of limited growth function, depreciation using differentiation, a method to find the area of space, consumers’/producers’ surplus using integration.
      • Apply the knowledge of rules of differentiation, rules of integration, Optimization method, uninhibited growth model, model of limited growth function, depreciation, a method to find the area of space, and consumers’/ producers’ surplus using integration to solve problems.
      • Analyze the knowledge of optimization method, uninhibited growth model, model of limited growth function, depreciation, a method to find the area of space, and consumers’/ producers’ surplus using integration to make an effective business decision.

      Course Outcomes:

      Students will:

      ü  Differentiate algebraic, exponential and logarithmic functions, including use of product, quotient, generalized power and chain rules.

      ü  Solve application problems from business and economics involving graphing, minimization and maximization and economic lot size using differentiation.

      ü  Integrate functions using the basic rules of integration and substitution.

      ü  Solve application problems from business and economics involving area, consumer’s surplus and producer’s surplus.

      ü  Find first and second order partial derivatives for algebraic, exponential and logarithmic functions.

      ü  Solve maximization and minimization problems using partial derivatives.




    • Course Contents:



      Course Assessment Strategy:

      Class attendance:                                              07%

      Quiz:                                                                       15%

      Assignment:                                                         05%

      Presentation:                                                       08%

      Mid-term:                                                             25%

      Final:                                                                     40%

      Total                                                                     100%  


      Text Book: 

      Calculus For Business, Economics, and the Social and Life Sciences

      Laurence D. Hoffmann Smith Barney

      Gerald L. Bradley

      Reference Books:

      1.      Calculus in Business and Economics by G. S. Monk

      2.      Calculus in Business and Economics by Dr. Sayedul Anam


    • Class Routine & Counseling Hour:

  • Lecture Module # 01-03:Functions, Graphs, and Limits

    • Students must
      Mark as done

      Objectives of this Lecture Lecture Outcomes  Lecture Contents

      • Using correct notation, describe the limit of a function.
      • Use a table of values to estimate the limit of a function or to identify when the limit does not exist.
      • Use a graph to estimate the limit of a function or to identify when the limit does not exist.
      • Define one-sided limits and provide examples.

        Learning Outcomes

        1. Use tables to estimate the limit of a function or to identify when the limit does not exist
        2. Use graphs to estimate the limit of a function or to identify when the limit does not exist
        Function, The graphs of a function, Lines and Linear Functions, Functional Model, Limits, One-Sided Limits, and Continuity

    • Students must
      Mark as done

    • resource icon
      Lecture pdf File
      Students must
      Mark as done
    • resource icon
      Limit of a function File
      Students must
      Mark as done
    • page icon
      Video on graph of function Page
      Students must
      Mark as done
    • resource icon
      Handnote on function File
      Students must
      Mark as done
    • forum icon
      Discussion forum
      Students must
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