BAI Preparatory Course in Mathematics 2nd Edition by Guido Osimo ISBN 8864075020 9788864075020

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ISBN 10: 8864075020
ISBN 13: 9788864075020
Author: Guido Osimo

BAI Preparatory Course in Mathematics (2nd Edition) is designed to provide students with a solid foundation in the essential mathematical concepts needed for success in Business, Accounting, and Information Technology programs. The course focuses on developing critical thinking and problem-solving skills while reinforcing the mathematical principles that underpin various real-world applications.

The 2nd Edition of this preparatory course includes updated content, practical examples, and enhanced exercises to better prepare students for higher education in fields that require strong quantitative reasoning. Key topics covered include basic arithmetic, algebra, functions, financial mathematics, probability, statistics, and an introduction to calculus, all tailored to the needs of students pursuing business and related disciplines.

BAI Preparatory Course in Mathematics 2nd Table of contents:

Preface

• Introduction to the 2nd Edition
• Purpose of the Course and Structure of the Book
• How to Use This Book Effectively

Chapter 1: Basic Arithmetic and Number Theory

• Review of Arithmetic Operations: Addition, Subtraction, Multiplication, Division
• Fractions, Decimals, and Percentages
• Ratios, Proportions, and Proportional Reasoning
• Introduction to Prime Numbers and Divisibility Rules
• Factors, Multiples, and Greatest Common Divisors

Chapter 2: Algebra Fundamentals

• Variables, Expressions, and Equations
• Simplifying Algebraic Expressions
• Solving Linear Equations and Inequalities
• Polynomials: Addition, Subtraction, and Multiplication
• Factoring Techniques: GCF, Difference of Squares, Trinomials
• Solving Quadratic Equations

Chapter 3: Functions and Graphs

• Understanding Functions and Function Notation
• Domain and Range of Functions
• Linear Functions and Their Graphs
• Graphing Quadratic Functions
• Introduction to Exponential and Logarithmic Functions
• Interpreting Graphs and Their Applications in Real-Life Contexts

Chapter 4: Matrices and Systems of Equations

• Introduction to Matrices: Definitions and Operations
• Matrix Addition, Subtraction, and Scalar Multiplication
• Solving Systems of Linear Equations Using Matrices
• Determinants and Inverses of Matrices
• Application of Matrices in Business and Economics

Chapter 5: Financial Mathematics

• Basic Concepts in Financial Mathematics
• Simple and Compound Interest
• Present Value and Future Value of Money
• Annuities and Loan Amortization
• Solving Real-World Problems Using Financial Formulas

Chapter 6: Probability and Statistics

• Basics of Probability: Definitions and Theorems
• The Addition and Multiplication Rules in Probability
• Descriptive Statistics: Mean, Median, Mode, and Standard Deviation
• Probability Distributions: Normal Distribution, Binomial Distribution
• Introduction to Hypothesis Testing and Confidence Intervals

Chapter 7: Geometry and Measurement

• Basic Geometrical Shapes and Properties
• Perimeter, Area, and Volume of Common Geometric Figures
• The Pythagorean Theorem and Its Applications
• Trigonometry: Sine, Cosine, and Tangent Functions
• Geometrical Applications in Business and Accounting

Chapter 8: Calculus Fundamentals (Optional)

• Introduction to Limits and Continuity
• The Derivative: Definition and Applications
• Basic Rules for Differentiation
• Applications of Derivatives in Optimization Problems
• Integration Basics and Applications

Chapter 9: Problem-Solving Techniques

• Approaching Word Problems: Strategies and Tips
• Breaking Down Complex Problems into Simpler Parts
• Application of Mathematical Models to Real-Life Business Problems
• Practice Problems and Solutions

Chapter 10: Review and Practice Exercises

• Comprehensive Review of All Topics
• Practice Questions and Solutions
• Diagnostic Tests for Self-Assessment
• Key Formulas and Theorems for Quick Reference

Appendices

• Appendix A: Mathematical Tables
• Appendix B: Glossary of Key Terms
• Appendix C: Useful Online Resources and Tools for Further Study

Index

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