MATH-abundance

• Main Purpose = MATH TUTORIALS
  
• TUTORIALS : Topics; Solved and unsolved problems
  
• Math links to links to math links ...
  

Main Purpose : MATH TUTORIALS

'upper secondary' MATH TUTORIAL.

The order of the topics is not random.
Most of them appeal on the properties and formulas stated in a preceding topic.

You can find headword-links of the tutorials in the MATH-TUTORIALS INDEX .

See Copying Conditions

TOPICS

• Trigonometry
  • Trigonometry
    Basics ; functions ; identities ; equations ; inequalities
  • Solved problems about Trigonometry
  • Spherical Trigonometry - Basic formulas
  
  
• Transformations and graphs
  • Transformations of an equation of a function and its influence on the graph
    
  
  
• Vectors
  • Vectors
    Basics ; dot product ; length ; angle ; Orthonormal basis ;
  
  
• Lines - orthogonality ; distance (in a plane)
  • Lines - orthogonality ; distance (in a plane)
  
  
• Mathematical Induction
  • The Principle of Mathematical Induction ; Examples
  
  
• Complex numbers
  • Complex numbers
    Basics ; polar form ; square root ; n-th root ; polynomials
  • Solved problems about Complex numbers
  
  
• Cubic Equations
  • Cubic Equations
    solve the general cubic equation algebraically or with an iteration method
  
  
• Irrational Equations - Irrational Inequalities
  • General method; examples; exercises
    
  
  
• Sums in math
  • Sums in math -- properties
    
  
  
• Matrices part I
  • Matrices part I
    basics ; sum ; scalar multiplication ; multiplication ; properties
  
  
• Determinants
  • Determinants
  
  
• Matrices, determinants, systems of linear equations
  • Systems of linear equations, Matrices, determinants
    rank of a matrix ; inverse matrix ; Classification of systems of linear equations
  • Problems about Matrices, Determinants, Systems of linear equations
  
  
• Elimination of parameters
  • Elimination of parameters
    homogeneous and non homogeneous linear parameters ; quadratic parameter ; trigonometric parameters
  
  
• The Circle
  • basic properties of a circle expressed in an analytic way.
    
  
  
• Vector spaces
  • Vector spaces
  • Problems about Vector spaces
  
  
• Linear transformations
  • Linear transformations
  • Problems about Linear transformations
  
  
• Counting and Probability
  • Variations Permutations Combinations and probability
  • Problems about Counting
  
  
• Congruences; Integers modulo m
  • Congruences; Integers modulo m
  
  
• Systems of Linear Congruences
  • Solving systems with equations x = a mod m
  
  
• Sequences and limits
  • Sequences and limits
  • Problems about Sequences
  
  
• Limits of functions (part I) and continuity
  • Limits of functions (part I) and continuity
  
  
• Asymptotes
  • Asymptotes
  
  
• The homographic function
  • The homographic function - equation ; graph ; properties
  
  
• The derivative, differentiation, limits (part II), maximum, minimum, inflection points.
  • The derivative, differentiation, limits (part II), maximum, minimum, inflection points.
  • Problems about differentiation, limits (II)
  • Problems about functions, asymptotes, maximum and minimum,inflection points...
  • Investigation of irrational functions.
  
  
• Exponential and Logarithmic functions
  • Exponential and Logarithmic functions; Special limits
  • Logarithmic equations
    Guidelines, methods and examples
    
  • Problems about Exponential and Logarithmic functions
  
  
• Hyperbolic functions and inverses
  • Hyperbolic functions and inverses
  
  
• Loci
  • Loci -- two methods-- calculation examples
    
  
  
• Root-finding methods
  • Root-finding methods
  
  
• Inequalities in two variables
  • Inequalities in two variables : General method , Examples, Applications, Systems
  
  
• Solid geometry
  • Lines - Planes - Distances - Angles
  • Problems about Lines - Planes - Distances - Angles
  
  
• Partial fractions
  • Partial fraction decomposition
  
  
• Integration
  • Integration
  • Problems about Integration
  
  
• Polar coordinates
  • Polar coordinates
  
  
• Taylor and Maclaurin
  • Taylor and Maclaurin
  
  
• Analytic Geometry (in a plane)
  • Analytic Geometry - Conic Sections
  • Problems about Analytic Geometry and conic sections
  
  
• Curves in a plane
  • Envelope; Evolute; Osculating circle; Curvature; Catenary; Tractrix
  
  
• Miscellaneous Problems about all topics

Math links to links to math links ...

Calculus links

Calculus

Calculus 1

Calculus 2

Algebra Links

Linear Algebra

Linear Algebra

ALGEBRA 1

ALGEBRA 2

ALGEBRA 3

Abstract algebra on line

Abstract and Linear Algebra

Ring theory

Commutative Rings

Galois Theory

Galois Theory

Probability Links

Probability and Distributions

Probability

Unordered Links

Lessons, Tutorials and Lecture Notes

Teaching Materials

Chegg Homework Help

Mathematics Archives Topics

Mathematics Archives

S.O.S. MATHematics

Internet Resources for the Mathematics Student

Mathworld

Mathematics

Numbers, constants and computation

Calculators on-line center

Online books about Mathematics and Computer Science

Lecture notes of William Chen

Open Directory Project

Math Library

Math on the web

A Visual Dictionary of Special Plane Curves

Famous curves index

Famous Curves

Inverse Symbolic Calculator

A Gallery of Interactive On-Line Geometry

Java programs: view, rotate 3d faceted objects

Center for Experimental and Constructive Mathematics

jacal - Table of Contents

Martin Flashman's Web Surfing Page

Reciprical links

Puzzles and Problem Links

Interactive Mathematic Miscellany and Puzzles

Mothmatic Math Games
Free to use animated Math games for Kids