Business Mathematics Ii

1. Apply set theory and operations to solve business-related problems.
2. Analyze financial scenarios using annuities, cash flow, and sinking fund concepts.
3. Formulate and solve linear programming problems for optimization.
4. Compute areas using calculus and definite integrals.
5. Utilize indefinite integrals to solve differential equations.
6. Apply mathematical tools such as simultaneous equations and matrix algebra in business decision-making.
7. Understand and apply probability concepts in risk assessment and decision analysis.

13 weeks, about 45 hours in total. Yours will differ.

1. Week 1MODULE ONE

   • Unit 1: Sets & Subsets · 3 hours

     Read the introduction to sets and subsets.. Understand set notation and rewrite sets in different forms.. Identify and classify different kinds of sets with examples.. Practice exercises on set identification and notation..

2. Week 2MODULE ONE

   • Unit 2: Basic Set Operations · 3 hours

     Study basic set operations: union, intersection, difference, and complement.. Compare sets and assign new sets based on comparability.. Represent set relationships using Venn diagrams.. Solve problems involving set operations..

3. Week 3MODULE ONE

   • Unit 3: Set of Numbers · 3 hours

     Explore different sets of numbers: integers, rational numbers, natural numbers, and irrational numbers.. Represent sets of numbers on the real line.. Understand inequalities and absolute values.. Perform set operations on intervals..

4. Week 4MODULE ONE

   • Unit 4: Functions · 3 hours

     Define functions, mappings, operators, and transformations.. Identify one-to-one and onto functions.. Find the composition of two or more functions.. Determine the inverse of a function..

5. Week 5MODULE TWO

   • Unit 1: Annuity · 3 hours

     Define annuity and future values.. Distinguish between ordinary annuities and annuities due.. Calculate the future value of an ordinary annuity.. Calculate the present value of an ordinary annuity..

6. Week 6MODULE TWO

   • Unit 2: Cash Flow · 3 hours

     Define cash flows and their importance in financial analysis.. Classify cash flows into operating, investing, and financing activities.. Learn how to manage cash flow effectively.. Calculate total cash flows using different methods..

7. Week 7MODULE TWO

   • Unit 3: Sinking Fund · 3 hours

     Define sinking fund and its purpose.. Understand simple and compound interest.. Discuss the features and types of debt instruments.. Calculate sinking fund payments..

8. Week 8MODULE TWO

   • Unit 4: Mathematical Programming (Linear Programming) · 3 hours

     Understand the requirements and assumptions of linear programming problems.. Identify areas of application of linear programming.. Formulate linear programming problems from real-world scenarios.. Learn graphical methods for solving linear programming problems..

9. Week 9MODULE THREE

   • Unit 1: Computation of Areas by Calculus · 3 hours

     Understand the concept of area under a curve and its computation.. Learn about partition of a closed interval.. Compute area under a curve as limits.. Practice problems on area computation..

10. Week 10MODULE THREE

    • Unit 2: Definite Integral · 3 hours

      Define the definite integral and its properties.. State and apply the fundamental theorem of integral calculus.. Evaluate definite integrals of various functions.. Solve problems involving definite integrals..

11. Week 11MODULE THREE

    • Unit 3: Indefinite Integral · 3 hours

      Define indefinite integral and its properties.. Apply indefinite integration to solve differential equations.. Understand the concept of anti-differentiation.. Practice problems on indefinite integration..

12. Week 12MODULE THREE

    • Unit 4: Integration of Transcendental functions · 3 hours

      Learn to integrate rational and exponential functions.. Integrate trigonometric functions using standard formulas.. Apply integration by inverse trigonometric functions.. Solve problems involving transcendental functions..

    • Unit 5: Integration of Powers of Trigonometric functions · 3 hours

      Understand the basic formulas for trigonometric functions.. Learn to integrate powers of trigonometric functions.. Evaluate integrals involving even powers of sines and cosines.. Practice problems on trigonometric integration..

13. Week 13MODULE FOUR

    • Unit 1: Mathematical Tools I: Simultaneous Equations, Linear Functions, and Linear Inequalities · 3 hours

      Solve simultaneous equations using elimination methods.. Understand linear functions and their applications.. Solve linear inequalities and apply them to business conditions.. Practice problems on simultaneous equations and inequalities..

    • Unit 2: Mathematical Tools II: Introduction to Matrix Algebra · 3 hours

      Understand the basic principles of matrix algebra.. Perform matrix addition, scalar multiplication, and matrix multiplication.. Apply matrices in business decisions.. Solve problems involving matrix operations..