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MTH105Sciences2 Unitsintermediate

Mathematics For Management Sciences I

This course introduces fundamental mathematical concepts and techniques essential for management sciences. It covers symbolic logic, matrices, vectors, and complex numbers, providing a solid foundation for quantitative problem-solving. Students will learn about straight lines, circles, sequences, series, limits, differentiation, and integration. The course also explores maximum and minimum points, linear programming, inequalities, and constraints, equipping learners with skills applicable to various business scenarios.

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150h
Study Time
13
Weeks
12h
Per Week
intermediate
Math Level
Course Keywords
MathematicsManagement SciencesMatricesCalculusLinear 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

Limits and Continuity

6

Differentiation and Integration

7

Linear Programming

Total Topics7 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: Mathematics and Symbolic Logic

4h

Unit 1: Mathematics and Symbolic Logic

4 study hours
  • •Review definitions of mathematical symbols and logical connectives.
  • •Practice constructing truth tables for conjunction, disjunction, and negation.
  • •Solve problems involving converse, inverse, and contra-positive statements.
Week
2

Module 1: Mathematics and Symbolic Logic

5h

Unit 2: Matrices and Determinants

5 study hours
  • •Define matrices and determinants.
  • •Practice matrix addition, subtraction, and scalar multiplication.
  • •Calculate determinants of 2x2 and 3x3 matrices.
  • •Solve problems involving matrix inversion.
Week
3

Module 1: Mathematics and Symbolic Logic

4h

Unit 3: Vectors and Complex Numbers

4 study hours
  • •Define vectors and complex numbers.
  • •Perform vector addition, subtraction, and scalar multiplication.
  • •Solve problems involving complex number arithmetic.
  • •Convert complex numbers to polar form.
Week
4

Module 1: Mathematics and Symbolic Logic

4h

Unit 4: Introduction to Straight Lines

4 study hours
  • •Define straight lines and circles.
  • •Calculate the distance between two points.
  • •Determine the gradient or slope of a straight line.
  • •Solve problems involving equations of straight lines and circles.
Week
5

Module 1: Mathematics and Symbolic Logic

3h

Unit 5: Introduction to Circle

3 study hours
  • •Solve problems involving equations of circles.
Week
6

Module 2: Simple Sequence and Series

4h

Unit 1: Simple Sequence and Series

4 study hours
  • •Define simple sequences and series.
  • •Calculate the sum of arithmetic and geometric progressions.
  • •Apply sequences and series to simple and compound interest problems.
Week
7

Module 2: Simple Sequence and Series

5h

Unit 2: Limits

5 study hours
  • •Define limits and continuity.
  • •Apply properties of limits to evaluate functions.
  • •Solve problems involving limits at infinity.
  • •Determine discrete and continuous variables.
Week
8

Module 2: Simple Sequence and Series

5h

Unit 3: Differentiation and Integration

5 study hours
  • •Define differentiation and integration.
  • •Apply techniques of differentiation to algebraic functions.
  • •Solve problems involving differentiation of trigonometric, exponential, and logarithmic functions.
Week
9

Module 2: Simple Sequence and Series

4h

Unit 4: Maximum and Minimum Points and Value

4 study hours
  • •Define stationary points.
  • •Find stationary points of a function.
  • •Determine the nature of turning points (maximum or minimum).
  • •Solve problems involving maximum and minimum values.
Week
10

Module 2: Simple Sequence and Series

5h

Unit 5: Linear Programming (Inequalities and Constraints)

5 study hours
  • •Define linear programming.
  • •Apply the graphical method to solve linear programming problems.
  • •Identify slack variables.
  • •Solve problems involving inequalities and constraints.
Week
11

Module 1: Mathematics and Symbolic Logic

8h

Unit 1: Mathematics and Symbolic Logic

4 study hours
  • •Review all units in Module 1.
  • •Practice solving problems from tutor-marked assignments.

Unit 2: Matrices and Determinants

4 study hours
  • •Review all units in Module 1.
  • •Practice solving problems from tutor-marked assignments.
Week
12

Module 2: Simple Sequence and Series

8h

Unit 1: Simple Sequence and Series

4 study hours
  • •Review all units in Module 2.
  • •Practice solving problems from tutor-marked assignments.

Unit 2: Limits

4 study hours
  • •Review all units in Module 2.
  • •Practice solving problems from tutor-marked assignments.
Week
13

Module 2: Simple Sequence and Series

8h

Unit 5: Linear Programming (Inequalities and Constraints)

8 study hours
  • •Comprehensive review of all course materials.
  • •Focus on key concepts and problem-solving techniques.
  • •Prepare for final examination.

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

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Study Tips & Exam Preparation

Expert tips to help you succeed in this course

1

Create truth tables for all logical connectives and practice evaluating complex statements.

2

Master matrix operations and determinant calculations, focusing on solving linear equation systems.

3

Practice vector arithmetic and complex number manipulations, including polar form conversions.

4

Review differentiation and integration techniques, emphasizing applications to optimization problems.

5

Understand linear programming concepts, including constraint formulation and graphical solution methods.

6

Work through all tutor-marked assignments and review solutions to identify areas for improvement.

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