Business Mathematics I

1. Apply mathematical skills to solve business problems.
2. Use symbolic logic to analyze business arguments.
3. Solve problems involving matrices and determinants.
4. Apply calculus techniques to optimize business functions.
5. Use linear programming to make optimal decisions under constraints.

13 weeks, about 60 hours in total. Yours will differ.

1. Week 1Module 1:

   • Unit 1: Mathematics and Symbolic Logic · 4 hours

     Understand the definitions of mathematics and symbolic logic.. Learn about the objectives of symbolic logic reasoning.. Identify and define basic logical terms such as statements and propositions.. Study the different types of statements: simple and composite.. Familiarize yourself with logical connectives like conjunction, disjunction, and negation..

2. Week 2Module 1:

   • Unit 2: Matrices and Determinants · 5 hours

     Define a matrix and understand its dimensions.. Learn about different types of matrices: zero/null, identity, diagonal, transpose, symmetric, and idempotent.. Understand the conditions for equality of matrices.. Perform scalar multiplication of matrices.. Learn the rules for matrix multiplication and determine if matrices are conformable..

3. Week 3Module 1:

   • Unit 3: Vectors and Complex Numbers · 5 hours

     Define scalars and vectors, and differentiate between them.. Learn about different types of vectors: free, time-related, point-located, and position vectors.. Understand vector representation and modulus.. Perform vector addition and subtraction using the triangular rule.. Understand scalar multiplication of vectors and related theorems..

4. Week 4Module 1:

   • Unit 4: Introduction to Straight Lines · 4 hours

     Define a straight line and understand how to determine a point in the (x, y) plane.. Calculate the distance between two points using the distance formula.. Determine the gradient or slope of a straight line.. Learn the equations of a straight line with a given slope.. Understand how to find the equation of a line given one point and the slope, or given two points..

5. Week 5Module 1:

   • Unit 5: Introduction to Circle · 3 hours

     Define a circle and understand its properties.. Learn how to form the equation of a circle given its center and radius.. Understand the properties of the equation of a circle.. Solve problems involving the equation of a circle.. Identify the center and radius from a given equation of a circle..

6. Week 6Module 2:

   • Unit 1 Simple Sequence and Series · 4 hours

     Define a sequence and understand its types: finite and infinite.. Learn how to find the general term of a sequence.. Understand arithmetic sequences (A.P) and geometric sequences (G.P).. Find the common difference in an A.P and the common ratio in a G.P.. Calculate the nth term of an A.P and a G.P..

7. Week 7Module 2:

   • Unit 2 Limits · 5 hours

     Define limits and understand how to find the limit of a function.. Learn about the properties of limits.. Understand limits at infinity and how to evaluate them.. Differentiate between discrete and continuous variables.. Understand the property of continuity and how to determine if a function is continuous..

8. Week 8Module 2:

   • Unit 3 Differentiation and Integration · 5 hours

     Define differentiation and understand its basic principles.. Learn techniques of differentiation: power rule, sum rule, product rule, quotient rule, and chain rule.. Differentiate trigonometric functions: sin x, cos x, tan x.. Differentiate inverse trigonometric functions.. Differentiate exponential and logarithmic functions..

9. Week 9Module 2:

   • Unit 3 Differentiation and Integration · 4 hours

     Define integration as the inverse process of differentiation.. Learn the properties of integration.. Understand integration of functions of a function.. View integration as summation.. Apply integration to solve business problems..

10. Week 10Module 2:

    • Unit 4 Maximum and Minimum Points and Value · 4 hours

      Define stationary points and understand how to find them.. Learn how to determine the nature of turning points: maximum or minimum.. Calculate maximum and minimum values of a function.. Identify points of inflexion.. Apply maxima and minima concepts to solve business-related problems..

11. Week 11Module 2:

    • Unit 5 Linear Programming (Inequalities and Constraints) · 5 hours

      Understand the methods of linear programming.. Learn the steps involved in linear programming: defining constraints, graphing constraints, defining the objective function, and finding the optimum feasible solution.. Understand the concept of slack and its importance.. Apply linear programming to solve problems involving inequalities and constraints.. Formulate linear programming problems and represent them graphically..

12. Week 12Revision

    • Review Module 1 · 6 hours

      Review all units from Module 1, focusing on key definitions, formulas, and problem-solving techniques.. Practice solving problems related to symbolic logic, matrices, vectors, straight lines, and circles.. Complete sample assignments and TMAs to reinforce understanding..

13. Week 13Revision

    • Review Module 2 · 6 hours

      Review all units from Module 2, focusing on key definitions, formulas, and problem-solving techniques.. Practice solving problems related to sequences, series, limits, differentiation, integration, and linear programming.. Complete sample assignments and TMAs to reinforce understanding..