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MTH106

Mathematics For Management Sciences Ii

  • Sciences
  • 100 level
  • 2 credit units
  • 274 pages
  • 16 units

This course, Mathematics for Management Sciences II, is designed to equip students with the mathematical skills necessary for solving problems in the business world. It covers topics such as sets, functions, calculus, linear programming, and financial mathematics. The course aims to provide a solid foundation in mathematical techniques and models relevant to business management and decision-making.

About this course

Difficulty
Intermediate
Study hours
150 hours
Maths
Intermediate
Content
Theoretical, problem solving
Practical work
No
How it is assessed
  • Assignments
  • Tutor marked assignments
  • Final examination

One paragraph, so you can see how it reads

MTH106 · UNIT 1: SETS & SUBSETS

Every unit contains a list of references and further reading. Try to get as many as possible of those textbooks and materials listed. The textbooks and materials are meant to deepen your knowledge of the course.

What you should be able to do

  1. Apply set theory to business problems
  2. Solve simultaneous equations
  3. Apply calculus to optimization problems
  4. Use linear programming for resource allocation
  5. Calculate present and future values of annuities
  6. Apply matrix algebra to business decision-making
  7. Understand basic probability concepts

What it prepares you for

Careers
  • Financial Analyst
  • Management Consultant
  • Operations Manager
  • Investment Banker
  • Project Manager
Where it is applied
  • Banking
  • Finance
  • Manufacturing
  • Logistics
  • Consulting

Where it gets hard

The units students slow down on, and what makes each one heavy.

  • MODULE THREE

    Unit 5: Integration of Powers of Trigonometric functions

    Advanced calculus integration techniques require strong mathematical foundation

  • Module Two

    Unit 4: Mathematical Programming (Linear Programming)

    Linear programming requires understanding of constraints and optimization techniques.

A suggested way through it

Suggested

13 weeks, about 104 hours in total. Yours will differ.

  1. Week 1Module One
    • Unit 1: Sets & Subsets · 8 hours

      Define sets and subsets. Rewrite sets using different notations. Identify different kinds of sets.

  2. Week 2Module One
    • Unit 2: Basic Set Operations · 8 hours

      Compare sets. Assign new sets based on comparability. Represent relationships using Venn diagrams.

  3. Week 3Module One
    • Unit 3: Set of Numbers · 8 hours

      Represent numbers on the real line. Perform set operations on intervals. Understand properties of real numbers.

  4. Week 4Module One
    • Unit 4: Functions · 8 hours

      Identify functions from statements and diagrams. Determine if a function is one-to-one or onto. Find composition of functions.

  5. Week 5Module Two
    • Unit 1: Annuity · 8 hours

      Define annuity and future values. Calculate future value of an ordinary annuity. Calculate present value of an ordinary annuity.

  6. Week 6Module Two
    • Unit 2: Cash Flow · 8 hours

      Define cash flows. Discuss classification of cash flow. Discuss how to manage cash flow.

  7. Week 7Module Two
    • Unit 3: Sinking Fund · 8 hours

      Define sinking fund. Discuss simple and compound interest. Discuss features and types of debt instruments.

  8. Week 8Module Two
    • Unit 4: Mathematical Programming (Linear Programming) · 8 hours

      Explain requirements for linear programming. Highlight assumptions of linear programming. Identify areas of application.

  9. Week 9MODULE THREE
    • Unit 1: Computation of Areas by Calculus · 8 hours

      Compute areas by calculus. Define partition of a closed interval. Compute area as limits.

  10. Week 10MODULE THREE
    • Unit 2: Definite Integral · 8 hours

      Define definite integral. State the fundamental theorem of integral calculus. Evaluate definite integrals.

  11. Week 11MODULE THREE
    • Unit 3: Indefinite Integral · 8 hours

      Evaluate indefinite integral as anti-differentiation. Recall properties of indefinite integration. Integrate differential equations.

  12. Week 12MODULE THREE
    • Unit 4: Integration of Transcendental functions · 8 hours

      Derive formula for integrating rational functions. Evaluate integrals of trigonometric functions. Evaluate integrals using inverse trigonometric functions.

  13. Week 13MODULE THREE
    • Unit 5: Integration of Powers of Trigonometric functions · 8 hours

      Evaluate integrals involving powers of trigonometric functions. Evaluate integrals involving products of even powers of sines and cosines. Develop techniques for evaluating integrals of trigonometric functions.

Preparing for the exam

What to do
  • Review all definitions and theorems related to sets and functions
  • Practice solving simultaneous equations and linear inequalities
  • Focus on applying calculus to optimization problems
  • Work through examples of linear programming problems
  • Understand the formulas for annuities and sinking funds
  • Practice matrix operations and their applications
  • Review basic probability concepts and formulas

Questions students ask about this course

What is MTH106 about?

This course, Mathematics for Management Sciences II, is designed to equip students with the mathematical skills necessary for solving problems in the business world. It covers topics such as sets, functions, calculus, linear programming, and financial mathematics. The course aims to provide a solid foundation in mathematical techniques and models relevant to business management and decision-making.

How many units does MTH106 have?

MTH106, Mathematics For Management Sciences Ii, has 16 units across 4 modules, over 274 pages of course material. You can read it one unit at a time.

How many credit units is MTH106?

MTH106 carries 2 credit units, at 100 level in Sciences.

Is MTH106 hard?

MTH106 is rated intermediate level, with intermediate mathematical content. It is mostly theoretical and problem solving work.

How long does MTH106 take to study?

About 150 hours of study, spread across its 16 units.

How is MTH106 assessed?

MTH106 is assessed by assignments, tutor marked assignments and final examination.

What can I do with MTH106?

Financial Analyst, Management Consultant, Operations Manager, Investment Banker and Project Manager.

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