The Ramanujan Project

A century ago, the young Indian genius, Sri Ramanujan came across a compendium of 5000 mathematical facts.  Amazingly, he set about proving them himself and soon discovered new and stunning results of his own.  The story of his short life is retold in the film, 'The man who knew infinity'.

    I believe that anyone in the world should have free access to the content of a general mathematics degree.  On this page I will attach files that represent the content of such a properly structured 24-module degree (8 modules per year).

    In the spirit of Ramanaujan, the modules are designed for private study.  Each module has two files.  The first consists of 100 questions, along with hints and answers.  The second file has fully worked model solutions together with comments, linking to related ideas.

    I must explain that I cannot offer any formal qualifications, nor can I set examinations for each module.  This course is intended for the enjoyment and satisfaction of the student.  The course is at degree level so does suppose the student has the experience equivalent to a British A-level (senior high school) in mathematics.  The extent of preliminary study a student will need in order to tackle each module will depend on his or her background.  However, simple internet searches of key words will lead to a wealth of high quality material, both in the form of written text and videos of university lectures.  My intention is that the simple framework of a British degree will assist students in their endeavour to learn important advanced mathematics in a coherent fashion.

Kind regards,

Professor Peter M. Higgins

Ramanujan Project - First Year Modules

(Questions and Solutions)

MA 101 Alegbra & Complex Numbers [Questions]
MA 103 Calculus 1 [Questions]
MA 103 Calculus 1 [Questions]
MA 105 
Combinatorics & Probability [Questions]
MA 107 
Calculus and Differential Equations  [Questions]
MA 101 Alegbra & Complex Numbers [Solutions]
MA 103 Calculus 1 [Solutions]
MA 105 
Combinatorics & Probability [Solutions]
MA 107 
Calculus and Differential Equations
 [Solutions]
MA 102 Geometry & Trigonometry [Questions]
MA 104 Numbers & Discrete Mathematics
 [Questions]
MA 106 
Matrices & Linear Algebra  [Questions]
MA 108
Mechanics  [Questions]
MA 102 Geometry & Trigonometry [Solutions]
MA 104 Numbers & Discrete Mathematics
 [Solutions]
MA 106 
Matrices & Linear Algebra  [Solutions]
MA 108 
Mechanics
 [Solutions]

Ramanujan Project - Second Year Modules

(Questions and Solutions)

MA 201 Calculus of Several Variables [Questions]
MA 203 Vector
Calculus
[Questions]
MA 205 Abstract
Algebra
[Questions]
MA 207 Real
Analysis
[Questions]
MA 201 Calculus of Several Variables [Solutions]
MA 203 Vector
Calculus
[Solutions]
MA 205 Abstract
Algebra
[Solutions]
MA 207 Real
Analysis
[Solutions]
MA 202 Number Theory & Combinatorics
[Questions]
MA 204 Complex
Variables
[Questions]
MA 206 Probability and
Statistics II
[Questions]
MA 208 Classical
Mechanics
[Questions]
MA 202 Number Theory & Combinatorics
[Solutions]
MA 204 Complex
Variables
[Solutions]
MA 206 Probability and
Statistics II
[Solutions]
MA 208 Classical
Mechanics
[Solutions]

Ramanujan Project - Third Year Modules

(Questions and Solutions - more coming soon)

MA 301 Algebraic Semigroups [Questions]
MA 301 Algebraic Semigroups [Solutions]

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© 2014 by Professor Peter Higgins.