Math, Physics, Quantitative Methods
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Math, Physics, Quantitative Methods Course
Introduction:
The Certificate of Maths, Physics, and Quantitative Methods course offers comprehensive training to develop a precise quantitative understanding of the physical world, its structure, and its evolution using the language of mathematics. In the realm of physics, mathematics serves as a powerful tool to address fundamental questions. For instance, calculus was invented by Newton to describe motion. Conversely, physics can inspire mathematicians, with concepts like general relativity and quantum theory driving the development of new mathematical tools.
Studying the mathematical models of physics through mathematical methods not only enables the quantitative characterization of physical phenomena and precise computation of real processes but also provides insights into the very nature of these phenomena. It unveils hidden laws, predicts new effects, and offers a deeper understanding of the subject matter.
This course equips participants with advanced problem-solving skills, fostering logical and critical thinking in complex situations. It also cultivates a high level of mathematical proficiency, IT knowledge, and effective communication skills. As a result, graduates of this program will be well-prepared for diverse career opportunities.
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
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
Single-variable optimization
- local and global extreme points
- economic examples
Functions of many variables
- functions of two variables
- partial derivatives with two variables
- economic applications
Integration
- the antiderivative and “the are under the curve”
- economic interpretation
- integrating some basic functions (polynomials, natural logarithm, etc.)
Physics 1A
- Introduction to Linear Algebra
- Calculus and its Applications
- Mathematics for Physics 2
Modern physics:
- dynamics
- fields and waves
- physics of matter
- programming
- data analysis
- (optionally) experimental techniques
Quantum Mechanics