Free online course materials for mathematics makes the student to download mathematics content from online and also to interact with the online tutors and let them to clear their doubts in mathematics course materials. Free online course materials are one of the instant types of learning where student can solve the problem easily with the guidance of online educators. Free online course materials are accessed easily from the internet at free of cost.
Free Online Course Materials
Free online course materials for mathematics consist of many topics. It is mainly used for those who are searching for mathematics contents and also to get prepared with the mathematics for the students of kindergarten to college grade.
The major topics in the free online course materials for mathematics are Algebra, Calculus and analysis, Trigonometry, Geometry and topology, Combinatory, Logics, Number Theory, Differentiation, Integration, etc. Some of the major topics are explained below.
Trigonometry Functions:
* Solving trigonometric functions take main part in trigonometry. Solving trigonometric functions involves with the properties of right triangle.
* First we have to study about the trigonometric functions which are sine, cosine, tangent and their reciprocals are cosecant, secant, and cotangent. Also these are called identities which are used to learn and solve trigonometric functions.
* Also Pythagoras Theorem of a2 + b2 = c2 is used to solve the right angled triangle.
The trigonometric functions have the following properties.
Sine = '(opposite)/(hypotenuse)'
Cosine = '(adjacent) / (hypotenuse)'
Tangent = '(opposite) / (adjacent)'
Cotangent = '(adjacent) / (opposite)'
Secant = '(hypotenuse) / (adjacent)'
Cosecant = '(hypotenuse) / (opposite)'
Algebra:
By using Algebra, the unknown values are solved with the help of known value. Also factoring of the equation is used to find the value of the variable. Algebra course materials involves in the areas of mathematics and science. Algebra online course materials help in solving wide range of problems from mathematical word problem to complicated problems in science.
Problems for Free Online Course Materials
Problem 1: Solve the equation, -5x + 20 = 25
Solution:
-5x + 20 = 25
-5x + 20 - 20 = 25 - 20 Subtract 20 on both sides.
-5x = 5 Divide negative five on both sides
-5x / -5 = 5/-5
x = -1
Problem 2: Solve the equation, -0.30x + 2.3 = -0.5x - 0.2
Solution:
-0.30x + 2.3 = -0.5x - 0.2
-0.30x + 2.3 - 2.3 = -0.5x - 0.2 - 2.3 Subtract 2.3 on both sides
-0.30x + 0.5x = -0.5x - 2.5 + 0.5x Add 0.5x on both sides
0.2x = - 2.5 Divide 0.2 on both sides
x = -1.25
Problem 3: The sides of right-angled triangle are 20cm and 30 cm. Find the another side.
Solution:
By Pythagorean Theorem,
C^2 = a^2 + b^2
C^2 = 20^2 + 30^2
c^2 = 400 + 900
c^2 = 1300
c = 36.05 cm
Therefore the hypotenuse is 36.05 cm.
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