# Math, Physics, Quantitative Methods

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## Math, Physics, Quantitative Methods Course

__Introduction:__

The Certificate of Maths, physics and quantitative methods course will provide the skills to develop a precise quantitative understanding of the nature, structure and evolution of the physical world through the language of mathematics. For physicists, math is a tool used to answer questions. For example, Newton invented calculus to help describe motion. For mathematicians, physics can be a source of inspiration, with theoretical concepts such as general relativity and quantum theory providing an impetus for mathematicians to develop new tools.

The study of the mathematical models of physics by mathematical methods not only makes it possible to obtain the quantitative characteristics of physical phenomena and to compute with a given degree of accuracy the course of real processes, but also provides the possibility of gaining insight into the very nature of physical phenomena, revealing hidden laws and predicting new effects.

This course will provide participants with an understanding to advanced problem-solving skills and the ability to think logically and critically about complex situations and have a high level of mathematical ability, IT proficiency and communication skills thus providing graduates with opportunities in a diverse range of careers.

__Course Objectives:__

**By the end of the ****Math, Physics, Quantitative Methods training ****Course, participants will be able to:**

- Our aim is to equip students with the precise analytical thinking necessary to understand this vast subject in depth.
- A foundation that is as good as most other certificates (any level)
- A knowledge that gives you an edge on most people working in this field
- Support and advice from our team of professional mathematical physicists to kick start your career

__Who Should Attend?__

** The course of Certificate of math, physics and quantitative methods is ideal for:**

- Educators, Writers, Consultants, Researchers
- Students
- Anyone else with a passion or strong interest in Mathematical physics and quant methods

__Course Outlines:__

**Maths 1A**

- Algebra
- real line
- fractions
- powers
- rules of algebra
- intervals
- absolute values
- inequalities
- Equations
- solving simple equations
- equations with parameters
- quadratic equations
- linear equations in two unknowns
- nonlinear equations

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**Functions**

- Functions of one variable
- basic definitions
- graphs
- linear functions
- linear models
- quadratic functions
- polynomials
- power functions
- exponential functions
- logarithmic functions
- Properties of functions
- shifting graphs
- new functions from old
- inverse functions
- graphs of equations
- concavity, convexity

**Differentiation**

- slope
- derivative
- increasing and decreasing functions
- rates of change
- simple rules for differentiation
- sums, products and quotients
- table of derivatives
- chain rule
- higher-order derivatives
- economic examples

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** Single-variable optimization**

- local and global extreme points
- economic examples

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**Functions of many variables**

- functions of two variables
- partial derivatives with two variables
- economic applications

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**Integration**

- the antiderivative and “the are under the curve”
- economic interpretation
- integrating some basic functions (polynomials, natural logarithm, etc.)

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**Physics 1A**

- Introduction to Linear Algebra
- Calculus and its Applications
- Mathematics for Physics 2

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**Modern physics:**

- dynamics
- fields and waves
- physics of matter
- programming
- data analysis
- (optionally) experimental techniques