Math, Physics, Quantitative Methods Course

Course Overview:

The course is structured in such a manner that even those without any background in mathematics or quantitative analysis will be able to appreciate basic principles of mathematical physics and quantitative methods. at the end of the course students will be able to comprehend and utilize the concepts of algebra, sketching and analyzing the graphs of various functions, differentiation and integration, optimization of functions in a given region or several regions.

The course further introduces basic concepts of quantum mechanics, thermodynamics, electromagnetism, and calculus applications in the physics fields. It is useful for teachers, students, and professionals as it combines both theoretical and practical knowledge essential for further studies and career development in mathematical physics.

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

• thermodynamics
• statistical mechanics
• electromagnetism and relativity
• lagrangian dynamics

Quantum theory

• symmetries of quantum mechanics
• classical electrodynamics
• Hamiltonian dynamics
• statistical physics
• research a physics-based topic
• collate and analyze existing information from a wide variety of sources
• present your findings in oral and written forms
• QUIZ | PREVIOUS YEAR EXAMS

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