Course Contents
Use of Ratios, Proportion and Percentages in real world scenarios: Introduction to ratios, types, solution, use and scope in business environment. Proportion: Types, solution, use and scope in business environment, Percentages: solution, use and scope. Equations: Basic Concept, Operations on an Equation, Statement Problems,
• Simultaneous Equations: Form, Solutions of Simultaneous Equations, Equations with three unknowns, Two Equations in three unknowns, Statement Problems in two unknowns.
• Linear Equations: Characteristics of Linear Equation, Graphical characteristics, writing of the linear equation: Slope-intercept form, slope and point formula, two point formula, determining the equation of a Straight Line Linear Equations involving more than two variables.
• Non-Linear equations and their applications
• Non-Linear Functions- Introduction: Quadratic Functions, Characteristics and Their
• Applications, Polynomial Functions.
• Graphs of Algebraic Functions: Rectangular co-ordinates, Graph of an Equation, General Equation of a straight line, Graphical solution of a straight line, Graphical solution of Simultaneous Equations, Graphs of second and higher degree equations, Graphical solution of a Quadratic Equation.
• Derivatives-Functional notation, derivatives of functions, determination of Maxima, Minima and point of inflection and their application.
• Mathematics of Finance I – Percentage, Simple Interest and Simple Discount:
• Percentage Mark-up, Simple Interest and Present value, Simple Discount, Discounting Negotiable Instruments, Application: Numerical Questions and Statement Problems.
• Mathematics of Finance II – Compound Interest
• Section A – Compound Amount: Definitions, Compound amount formula, Use of Compound Interest Tables, Number of Periods and Interest Rate, Effective Rate of Interest, Equivalent Rates, Depreciation by Reducing Balance Method, Application: Numerical Questions and Statement Problems.
• Section B – Present Value at Compound Interest: Present Value Formula, Application on discounting interest bearing notes, Numerical Questions and Statement Problems.
Course Synopsis
This course is built upon the mathematical concepts, principles and techniques that are useful in management . The main objectives of the course are to enhance students’ competency in application of mathematical concepts in solving managerial problems and to improve their level of quantitative approach.
Course Learning Outcomes
Upon the successful completion of this course, you should be able to grasp the topics of:
• Mathematical Function
• Building and solving linear and quadratic equations
• Derivatives application in Profit maximization and cost minimization.
• Financial concepts like simple and compound interests, depreciation and Present values.
Percentage examples
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Introduction to Ratios
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Solving Percentage Problems ISandOF
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Introduction to Ratio and Proportion
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Explanation of Ratio and Proportion
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How to use Percentage,Rate,Base
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Solving equations with variables on both sides
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How to quickly solve the equations
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Solving one and two step equations
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Solving equations by elimination and substitution
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Solving 3 equations with 3 varaibles
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Solving equation with 2 and 3 variables and fraction by elimination
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Word Problems into Equations_Introduction
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Age Word Problems_Present,Past,Future
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Upstream,Downstream Word Problem_Distance,Rate,Time
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Word Problems Extended examples
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Time and Work Problems
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3x3 equations_Word Problems
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Linear Versus Non Linear Equations
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Solving non linear equations with two variables
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Solving Quadratic equations by Factoring
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Solving Quadratic Equation Using Quadratic Formula
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Graph_Slop intercept and Standard Form
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Graphing 2nd degree equations
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Concept of taking Derivatives
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Derivatives:Power, Product, Quotient, Chain Rule
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Derivatives for Relative Extrema
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Finding Point of Infelection
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Application of Derivatives in Marginal Revenue, Average Cost, Profit, Price & Demand Function
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Simple Interest Formula Calculation
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Simple interest and Discount
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Markup on Sales and Cost
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Discounting Negotiable Instruments
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Compound Interest Formula_Explanation with word problems
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Calculating Compound Interest_Examples
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Comparing Simple and Compound Interest
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3 Linear equations with 3 variables
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Book Title : Applied Mathematics For Business, Economics And The Social Sciences
Author : Frank S. Budnick
Edition : Latest
Publisher : McGraw-Hill, INC.
Book Title : Business Mathematics for students of finance and Management
Author : Mirza Mohammad Hasan & Mohammad Ali Mirza
Edition : Latest
Publisher : Farooq Kitab Ghar
Title : Introduction to Compound Interest
Type : Presentation
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Title : Solving Equations with 3 Variables
Type : Presentation
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Title : Word Problems into Equations
Type : Presentation
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Title : Solving Quadratic Equation using Different Methods
Type : Presentation
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Title : Solving Quadratic Equation By Completing Square
Type : Presentation
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Title : Word Problems_Age
Type : Presentation
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Title : Word Problems_two Equations
Type : Presentation
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Title : Drawing Graph with two Linear Equations
Type : Presentation
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Title : How to Graph Equations
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Title : Graphing and Substitution
Type : Presentation
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Title : Graphing Quadratic Equation
Type : Presentation
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Title : Introduction to Ratio and Proportion
Type : Presentation
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Title : Ratios Word Problems
Type : Presentation
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Title : Simplifying Ratios
Type : Presentation
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Title : Calculation of Markup on sales and Cost
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Title : Calculation of Simple Interest
Type : Presentation
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