Mathematics For Management Sciences I
- Sciences
- 100 level
- 2 credit units
- 182 pages
- 10 units
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.
About this course
- Difficulty
- Intermediate
- Study hours
- 150 hours
- Maths
- Intermediate
- Content
- Theoretical, problem solving
- Practical work
- No
- Assignments
- Tutor marked assignments
- Final examination
What you'll read
The real module and unit structure of MTH105, taken from the course material NOUN publishes.
One paragraph, so you can see how it reads
MTH105 · UNIT 1 MATHEMATICS AND SYMBOLIC LOGIC
One important instrument for communication, but not easily mentioned is the use of figures. Figures are major instrument used for expression, especially where large data are involved. It makes expression very concise in explanation and interpretation. This makes it important for us to know how mathematical symbols and logic could be used.
What you should be able to do
- Apply mathematical skills in business contexts
- Use mathematical techniques to solve problems
- Integrate mathematical models in business decision-making
- Analyze business arguments using logical reasoning
- Formulate composite statements from simple ones
- Ascertain the truth value of a statement
What it prepares you for
- Business Analyst
- Financial Analyst
- Operations Manager
- Management Consultant
- Project Manager
- Finance
- Operations Management
- Supply Chain Management
- Marketing
- Economics
Where it gets hard
The units students slow down on, and what makes each one heavy.
- Module 1: Mathematics and Symbolic Logic
Unit 1: Mathematics and Symbolic Logic
Requires understanding of logical connectives and their truth values, which can be challenging for students without prior exposure to formal logic.
- Module 2: Simple Sequence and Series
Unit 2: Limits
Involves complex algebraic manipulations and application of limits to indeterminate forms, demanding a strong foundation in algebra and pre-calculus.
- Module 2: Simple Sequence and Series
Unit 5: Linear Programming (Inequalities and Constraints)
Requires understanding of optimization techniques and constraint handling, which can be challenging due to the need for both algebraic and graphical reasoning.
A suggested way through it
13 weeks, about 67 hours in total. Yours will differ.
- Week 1Module 1: Mathematics and Symbolic Logic
Unit 1: Mathematics and Symbolic Logic · 4 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 2Module 1: Mathematics and Symbolic Logic
Unit 2: Matrices and Determinants · 5 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 3Module 1: Mathematics and Symbolic Logic
Unit 3: Vectors and Complex Numbers · 4 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 4Module 1: Mathematics and Symbolic Logic
Unit 4: Introduction to Straight Lines · 4 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 5Module 1: Mathematics and Symbolic Logic
Unit 5: Introduction to Circle · 3 hours
Solve problems involving equations of circles..
- Week 6Module 2: Simple Sequence and Series
Unit 1: Simple Sequence and Series · 4 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 7Module 2: Simple Sequence and Series
Unit 2: Limits · 5 hours
Define limits and continuity.. Apply properties of limits to evaluate functions.. Solve problems involving limits at infinity.. Determine discrete and continuous variables..
- Week 8Module 2: Simple Sequence and Series
Unit 3: Differentiation and Integration · 5 hours
Define differentiation and integration.. Apply techniques of differentiation to algebraic functions.. Solve problems involving differentiation of trigonometric, exponential, and logarithmic functions..
- Week 9Module 2: Simple Sequence and Series
Unit 4: Maximum and Minimum Points and Value · 4 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 10Module 2: Simple Sequence and Series
Unit 5: Linear Programming (Inequalities and Constraints) · 5 hours
Define linear programming.. Apply the graphical method to solve linear programming problems.. Identify slack variables.. Solve problems involving inequalities and constraints..
- Week 11Module 1: Mathematics and Symbolic Logic
Unit 1: Mathematics and Symbolic Logic · 4 hours
Review all units in Module 1.. Practice solving problems from tutor-marked assignments..
Unit 2: Matrices and Determinants · 4 hours
Review all units in Module 1.. Practice solving problems from tutor-marked assignments..
- Week 12Module 2: Simple Sequence and Series
Unit 1: Simple Sequence and Series · 4 hours
Review all units in Module 2.. Practice solving problems from tutor-marked assignments..
Unit 2: Limits · 4 hours
Review all units in Module 2.. Practice solving problems from tutor-marked assignments..
- Week 13Module 2: Simple Sequence and Series
Unit 5: Linear Programming (Inequalities and Constraints) · 8 hours
Comprehensive review of all course materials.. Focus on key concepts and problem-solving techniques.. Prepare for final examination..
Preparing for the exam
- Create truth tables for all logical connectives and practice evaluating complex statements.
- Master matrix operations and determinant calculations, focusing on solving linear equation systems.
- Practice vector arithmetic and complex number manipulations, including polar form conversions.
- Review differentiation and integration techniques, emphasizing applications to optimization problems.
- Understand linear programming concepts, including constraint formulation and graphical solution methods.
- Work through all tutor-marked assignments and review solutions to identify areas for improvement.
Questions students ask about this course
What is MTH105 about?
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.
How many units does MTH105 have?
MTH105, Mathematics For Management Sciences I, has 10 units across 2 modules, over 182 pages of course material. You can read it one unit at a time.
How many credit units is MTH105?
MTH105 carries 2 credit units, at 100 level in Sciences.
Is MTH105 hard?
MTH105 is rated intermediate level, with intermediate mathematical content. It is mostly theoretical and problem solving work.
How long does MTH105 take to study?
About 150 hours of study, spread across its 10 units.
How is MTH105 assessed?
MTH105 is assessed by assignments, tutor marked assignments and final examination.
What can I do with MTH105?
Business Analyst, Financial Analyst, Operations Manager, Management Consultant and Project Manager.