Certificate of math, physics, Quantitative methods

Course Info

Length: 2 Weeks

City: Singapore

Type: In Classroom

Available Dates

  • Jan-13-2025

    Singapore

  • Apr-14-2025

    Singapore

  • July-14-2025

    Singapore

  • Oct-13-2025

    Singapore

Dates in Other Venues

  • Jan-13-2025

    Dubai

  • Jan-13-2025

    Istanbul

  • Jan-13-2025

    Paris

  • Jan-13-2025

    Kuala Lumpur

  • Jan-13-2025

    Barcelona

  • Jan-13-2025

    Amsterdam

  • Feb-10-2025

    London

  • Mar-24-2025

    Dubai

  • Apr-14-2025

    Amsterdam

  • Apr-14-2025

    Kuala Lumpur

  • Apr-14-2025

    London

  • Apr-14-2025

    Paris

  • Apr-14-2025

    Istanbul

  • Apr-14-2025

    Barcelona

  • May-12-2025

    Dubai

  • June-23-2025

    London

  • July-14-2025

    Barcelona

  • July-14-2025

    Istanbul

  • July-14-2025

    Amsterdam

  • July-14-2025

    Paris

  • July-14-2025

    Dubai

  • July-14-2025

    Kuala Lumpur

  • Aug-11-2025

    London

  • Sep-22-2025

    Dubai

  • Oct-13-2025

    Kuala Lumpur

  • Oct-13-2025

    Barcelona

  • Oct-13-2025

    London

  • Oct-13-2025

    Amsterdam

  • Oct-13-2025

    Paris

  • Oct-13-2025

    Istanbul

  • Nov-10-2025

    Dubai

  • Dec-22-2025

    London

Course Details

Course Outline

10 days course

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, covexity

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 analyse existing information from a wide variety of sources
  • present your findings in oral and written forms
  • QUIZ | PREVIOUS YEAR EXAMS

Course Video