अर्थशास्त्र में गणितीय पद्धतियां (Mathematical Methods in Economics)

प्रस्तुत पुस्तक राष्ट्रीय शिक्षा निति, 2020 के अन्तर्गत बिहार के विभिन्न विश्वविद्यालयों के बी. ए. (अर्थशास्त्र) सेमेस्टर II हेतु निर्धारित नवीन पाठ्यक्रम (शैक्षणिक सत्र 2023-24 से प्रभावी) को पूर्णतया दृष्टि में रखते हुए की गई है |

अर्थशास्त्र में गणितीय पद्धतियां (Mathematical Methods in Economics) Syllabus For B.A. IInd Semester of Babasaheb Bhimrao Ambedkar Bihar University, Bhupendra Narayan Mandal University, Jai Prakash University, Lalit Narayan Mithila University, Magadh University, Munger University, Patliputra University, Patna University, Purnea University, Tilka Manjhi Bhagalpur University, Veer Kunwar Singh University

MAJOR COURSE :

• Unit – I : Preliminaries : Logic and Proof Techniques, Sets and Set Operations, Ordered Pairs and Cartesian Products; Cartesian Products; Functions and their Properties; Number System; Basic Idea of Permutation and Combination; Progression : Arithmetic, Geometric and Harmonic Progression.
• Unit – II : Functions of One Variable : (a) Graphs, Elementary Types of Functions : Quadratic, Polynomial, Power, Exponential and Logarithmic Functions; (b) Sequences and Series : Convergence and Divergence, Algebraic Properties and Applications; (c) Continuous Functions : Characteristics and Properties of Continuous Functions, Convergence and Divergence; (d) Limit of a Function : Method to Evaluate the Limit of Algebraic, Logarithmic and Exponential Functions.
• Unit – III : Rules of Differentiation : Differentiable Functions, Derivatives of Sum, Difference, Product and Quotient Functions, Second and Higher Order Derivatives, Applications of Differentiation in Economics.
• Unit – IV : Single-Variable Optimization : Conditions for Maxima and Minima, Simple Applications of Maxima and Minima in Economics—Maximization of Profit/Net Revenue, Cost Minimization.

MINOR COURSE :

• Unit – I : Preliminaries : Logic and Proof Techniques, Sets and Set Operations, Ordered Pairs and Cartesian Products; Functions and Their Properties; Number System; Basic Idea of Permutation and Combination; Progression : Arithmetic, Geometric and Harmonic Progression.
• Unit – II : Functions of One Variable : (a) Graphs, Elementary Types of Functions : Quadratic, Polynomial, Power, Exponential and Logarithmic Functions; (b) Sequences and Series : Convergence and Divergence, Algebraic Properties and Applications; (c) Limit of a Functions : Method to Evaluate the Limit of Algebraic, Logarithmic and Exponential Functions.
• Unit – III : Rules of Differentiation : Differentiable Functions, Derivatives of Sum, Difference, Product and Quotient Functions, Second and Higher Order Derivatives, Simple Applications of Differentiation in Economics, Concepts of Marginal Cost, Marginal Revenue and Elasticity of Demand.