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ECO256

Mathematics For Economist Ii

This course is a continuation of Mathematics for Economists I (ECO 255). It covers derivatives, integration, economic applications of derivatives and integration, introduction to optimisation, functions of several variables, optimisation with constraints, differentials, matrix, matrix operations, matrix inversion and economic applications of matrix. The course aims to provide an in-depth understanding of mathematical applications in economics and stimulate understanding in decision-making.

About this course

Difficulty
Intermediate
Study hours
195 hours
Maths
Advanced
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

ECO256 · UNIT 1: DERIVATIVES I

You should use these objectives to guide your study. When you have finished the unit you must go back and check whether you have achieved the objectives. If you make a habit of doing this, you will significantly improve your chances of passing the course and getting the best grade.

What you should be able to do

  1. Define and explain the concept of derivative
  2. State the rules of differentiation
  3. Apply derivatives in economics
  4. Define and understand integration
  5. Apply matrix to solve complex systems of equations

What it prepares you for

Careers
  • Economist
  • Financial Analyst
  • Market Research Analyst
  • Data Scientist
  • Quantitative Analyst
Where it is applied
  • Finance
  • Economics
  • Statistics
  • Data Analysis
  • Market Research

Where it gets hard

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

  • Module 2: Optimisation

    Unit 3: Optimisation with Constraints

    Understanding the application of Lagrange multipliers requires strong analytical skills and familiarity with constrained optimization techniques.

  • Module 3: Linear Algebra

    Unit 3: Matrix Inversion

    Matrix inversion involves multiple steps and requires a solid understanding of determinants, cofactors, and adjoints.

A suggested way through it

Suggested

13 weeks, about 141 hours in total. Yours will differ.

  1. Week 1Module 1: Calculus
    • Unit 1: Derivatives I · 6 hours

      Understand the concept of derivatives. Learn derivative notations. Study the rules of differentiation.

    • Unit 2: Derivatives II · 6 hours

      Understand the concept of derivatives. Learn derivative notations. Study the rules of differentiation.

  2. Week 2Module 1: Calculus
    • Unit 3: Integration · 6 hours

      Understand the concept of integration. Learn integration notations. Study the rules of integration.

    • Unit 4: Economic Applications of Derivatives and Integration · 6 hours

      Apply derivatives and integration to economic problems. Marginal cost and revenue analysis. Production function analysis.

  3. Week 3Module 2: Optimisation
    • Unit 1: Introduction to Optimisation · 9 hours

      Understand the concept of optimisation. Learn optimisation notations. Study the rules of optimisation.

  4. Week 4Module 2: Optimisation
    • Unit 2: Functions of Several Variables · 12 hours

      Understand the concept of functions of several variables. Learn functions of several variables notations. Study the rules of functions of several variables.

  5. Week 5Module 2: Optimisation
    • Unit 3: Optimisation with Constraints · 12 hours

      Understand the concept of optimisation with constraints. Learn optimisation with constraints notations. Study the rules of optimisation with constraints.

  6. Week 6Module 2: Optimisation
    • Unit 4: Differentials · 12 hours

      Understand the concept of differentials. Learn differentials notations. Study the rules of differentials.

  7. Week 7Module 3: Linear Algebra
    • Unit 1: Matrix · 9 hours

      Understand the concept of matrix. Learn matrix notations. Study the rules of matrix.

  8. Week 8Module 3: Linear Algebra
    • Unit 2: Matrix Operations · 9 hours

      Understand the concept of matrix operations. Learn matrix operations notations. Study the rules of matrix operations.

  9. Week 9Module 3: Linear Algebra
    • Unit 3: Matrix Inversion · 9 hours

      Understand the concept of matrix inversion. Learn matrix inversion notations. Study the rules of matrix inversion.

  10. Week 10Module 3: Linear Algebra
    • Unit 4: Economics Applications of Matrix · 9 hours

      Apply matrix to economic problems. Matrix inversion in economics. Cramer's rule in economics.

  11. Week 11Module 1: Calculus
    • Module 1: Calculus · 12 hours

      Review all modules. Practice all TMAs question in Units 1 – 4 (Modules 1). Revise all topics.

  12. Week 12Module 2: Optimisation
    • Module 2: Optimisation · 12 hours

      Review all modules. Practice all TMAs question in Units 5 – 8 (Module 2). Revise all topics.

  13. Week 13Module 3: Linear Algebra
    • Module 3: Linear Algebra · 12 hours

      Review all modules. Practice all TMAs question in Units 9 – 12 (Module 3). Revise all topics.

Preparing for the exam

What to do
  • Create concept maps linking derivatives, integrals, and economic applications
  • Practice differentiation and integration problems from Units 1-4 weekly
  • Focus on optimization techniques from Units 5-8, especially Lagrange multipliers
  • Review matrix operations and inversion methods from Units 9-12
  • Solve past exam papers to familiarize yourself with question formats and time constraints
  • Create a study schedule to allocate sufficient time for each module
  • Review all TMAs and tutor feedback to identify areas for improvement
  • Practice applying mathematical concepts to real-world economic scenarios
  • Form a study group to discuss challenging concepts and share insights
  • Prioritize understanding over memorization, focusing on the underlying principles and logic
  • Create flashcards for key formulas and definitions for quick recall
  • Practice solving problems under timed conditions to improve speed and accuracy
  • Review all examples in the textbook and study units
  • Focus on understanding the assumptions and limitations of each mathematical technique
  • Consult your tutor for clarification on any difficult concepts or topics
  • Take regular breaks during study sessions to maintain focus and prevent burnout

Questions students ask about this course

What is ECO256 about?

This course is a continuation of Mathematics for Economists I (ECO 255). It covers derivatives, integration, economic applications of derivatives and integration, introduction to optimisation, functions of several variables, optimisation with constraints, differentials, matrix, matrix operations, matrix inversion and economic applications of matrix. The course aims to provide an in-depth understanding of mathematical applications in economics and stimulate understanding in decision-making.

How many units does ECO256 have?

ECO256, Mathematics For Economist Ii, has 12 units across 3 modules, over 130 pages of course material. You can read it one unit at a time.

How many credit units is ECO256?

ECO256 carries 2 credit units, at 200 level in Social Sciences.

Is ECO256 hard?

ECO256 is rated intermediate level, with advanced mathematical content. It is mostly theoretical and problem solving work.

How long does ECO256 take to study?

About 195 hours of study, spread across its 12 units.

How is ECO256 assessed?

ECO256 is assessed by assignments, tutor marked assignments and final examination.

What can I do with ECO256?

Economist, Financial Analyst, Market Research Analyst, Data Scientist and Quantitative Analyst.

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