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SMS101Management Sciences3 Unitsintermediate

Business Mathematics I

This course is designed to teach students how mathematics can be applied to solve problems in the business world. It covers mathematical skills required for proficiency in business management. The course introduces concepts and characteristics of business mathematics, emphasizing its importance in the contemporary business environment. Learners will develop skills in using mathematical techniques and models to solve business-related problems.

Transform this course into personalized study materials with AI

150h
Study Time
13
Weeks
12h
Per Week
intermediate
Math Level
Course Keywords
Business MathematicsSymbolic LogicMatricesDifferentiationLinear Programming

Course Overview

Everything you need to know about this course

Course Difficulty

Intermediate Level
Builds on foundational knowledge
65%
intermediate
📊
Math Level
Moderate Math
📖
Learning Type
Theoretical Focus

Course Topics

Key areas covered in this course

1

Symbolic Logic

2

Matrices and Determinants

3

Vectors and Complex Numbers

4

Straight Lines and Circles

5

Sequences and Series

6

Limits and Continuity

7

Differentiation and Integration

8

Maxima and Minima

9

Linear Programming

Total Topics9 topics

Ready to Start

No specific requirements needed

This course is designed to be accessible to all students. You can start immediately without any prior knowledge or specific preparation.

Assessment Methods

How your progress will be evaluated (3 methods)

assignments

Comprehensive evaluation of course material understanding

Written Assessment

tutor-marked assignments

Comprehensive evaluation of course material understanding

Written Assessment

final examination

Comprehensive evaluation of course material understanding

Computer Based Test

Career Opportunities

Explore the career paths this course opens up for you

Business Analyst

Apply your skills in this growing field

Financial Analyst

Apply your skills in this growing field

Operations Manager

Apply your skills in this growing field

Management Consultant

Apply your skills in this growing field

Project Manager

Apply your skills in this growing field

Industry Applications

Real-world sectors where you can apply your knowledge

FinanceOperations ManagementSupply Chain ManagementMarketingEconomics

Study Schedule Beta

A structured 13-week journey through the course content

Week
1

Module 1:

4h

Unit 1: Mathematics and Symbolic Logic

4 study 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.
Week
2

Module 1:

5h

Unit 2: Matrices and Determinants

5 study 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.
Week
3

Module 1:

5h

Unit 3: Vectors and Complex Numbers

5 study 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.
Week
4

Module 1:

4h

Unit 4: Introduction to Straight Lines

4 study 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.
Week
5

Module 1:

3h

Unit 5: Introduction to Circle

3 study 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.
Week
6

Module 2:

4h

Unit 1 Simple Sequence and Series

4 study 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.
Week
7

Module 2:

5h

Unit 2 Limits

5 study 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.
Week
8

Module 2:

5h

Unit 3 Differentiation and Integration

5 study 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.
Week
9

Module 2:

4h

Unit 3 Differentiation and Integration

4 study 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.
Week
10

Module 2:

4h

Unit 4 Maximum and Minimum Points and Value

4 study 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.
Week
11

Module 2:

5h

Unit 5 Linear Programming (Inequalities and Constraints)

5 study 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.
Week
12

Revision

6h

Review Module 1

6 study 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.
Week
13

Revision

6h

Review Module 2

6 study 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.

This study schedule is in beta and may not be accurate. Please use it as a guide and consult the course outline for the most accurate information.

Course PDF Material

Read the complete course material as provided by NOUN.

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Study Tips & Exam Preparation

Expert tips to help you succeed in this course

1

Create a study schedule allocating specific time for each unit, focusing on areas of weakness.

2

Practice solving problems from each unit, paying attention to the steps involved in each solution.

3

Create flashcards for key formulas and definitions to aid memorization.

4

Review all Tutor Marked Assignments (TMAs) and identify areas where marks were lost.

5

Focus on understanding the underlying concepts rather than just memorizing formulas.

6

Practice past exam papers to familiarize yourself with the exam format and types of questions.

7

Create concept maps linking Units 3-5 calculus concepts

8

Practice SQL queries from Units 7-9 weekly

9

Review all TMAs

10

Focus on key concepts

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