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MATHEMATICS FOR E&BE | Summary (RUG) R118,49   Add to cart

Summary

MATHEMATICS FOR E&BE | Summary (RUG)

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Summary of chapters 2-8 & 11 from Essential Mathematics for Economic Analysis by Sydsaeter & Hammond. Covers all material needed for the final exam of the course Mathematics for E&BE in the programme Economics & Business Economics at the University of Groningen.

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  • No
  • Chapters 2-8 & 11
  • November 24, 2022
  • 8
  • 2022/2023
  • Summary

1  review

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By: oliviermhbrouwer • 3 weeks ago

Translated by Google

It's really no use to me, they're just math rules that I already knew without examples and explanations

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Mathematics for E&BE
(University of Groningen)
Summary 2022-2023
Stuvia: marcellaschrijver




2. Algebra................................................................................................................................................ 2
3. Solving Equations ............................................................................................................................... 2
4. Functions of One Variable .................................................................................................................. 2
5. Properties of Functions ...................................................................................................................... 5
6. Differentiation .................................................................................................................................... 5
7. Derivatives in Use ............................................................................................................................... 6
8. Single-Variable Optimization ............................................................................................................. 6
11. Functions of Many Variables ........................................................................................................... 8

, 2. Algebra
Absolute values
|𝑥 − 2| = {𝑥 − 2 if 𝑥 ≥ 2
2 − 𝑥 if 𝑥 < 2

|3𝑥 − 2| ≤ 5 ⟺ −5 ≤ 3𝑥 − 2 ≤ 5




3. Solving Equations
Quadratic formula
−𝑏±√𝑏2 −4𝑎𝑐
𝑎𝑥 2 + 𝑏𝑥 + 𝑐 = 0 ⟺ 𝑥 = 2𝑎


Quadratic factorization
𝑥1 and 𝑥2 are solutions of 𝑎𝑥 2 + 𝑏𝑥 + 𝑐 = 0 ⟹ 𝑎𝑥 2 + 𝑏𝑥 + 𝑐 = 𝑎(𝑥 − 𝑥1 )(𝑥 − 𝑥2 )




4. Functions of One Variable
The coordinate system




Some important graphs

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