Calculus for Social Sciences

Mathematics for economics students. Contains functions, differentiation, (multivariate) optimisation, focus subjects like elasticity, and more applications.

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Course content

Functions

Introduction to functions

Lines and linear functions

Quadratic functions

Polynomials

Rational functions

Power functions

Conclusion of introduction to functions

Operations for functions

Inverse functions

Exponential and logarithmic functions

New functions from old

Conclusion of operations for functions

Introduction to differentiation

Definition of differentiation

Calculating derivatives

Derivatives of exponential functions and logarithms

Conclusion introduction to differentiation

Rules of differentiation

Rules of computation for the derivative

Applications of derivatives

Conclusion of rules of differentiation

Applications of differentiation

Analysis of functions

Higher derivatives

Conclusion of applications of differentiation

Multivariate functions

Basic notions

Partial derivatives

Conclusion of Multivariate functions

Optimization

Extreme points

Conclusion of optimization

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