# What's mathematics

Lecturer em Directorate of Education Delhi
19 de Feb de 2020
1 de 25

### What's mathematics

• 3. If people do not believethat mathematics is simple, it is only because they do not realize how complicated life is
• 5. . SAPNA TINA NANDITA ANUPAM COMIC MAYANK ANISH KUNAL LALIT METHODOLOGY APOORV INTRODUCTION VIKAS REFERENCE VIDISHA SURVEY + TOOL USED ANIKET SUMMARY HEMANT ESSENTIONALQUESTION + CARTOON ALOK MATHEMATICAL MODELLING + AIMS AND OBJECTIVE AJAY POWERPOINT HARSHIT PRESENTATION
• 7. • Real numbers • Quadraticequation • Arithmeticprogression • Introductionto trigonometry • Applicationof trigonometry • Construction • Surface area and volume • Probablity
• 8. Simple fraction have been used by Egyptians around 1000BC,in the ‘VADIC’ Pulbah Sutra” (The rules of cords) in 900 BC, include what may be the first used of irrational numbers. The concept of irrational numbers was empathically accepted by early Indian mathematician since Manawa {750 – 690 BC},who were aware that sequence roots of certain number such as √2 and √61 could not be exactly determined. Around 500 BC, the Greek mathematicians led by Pythagoras realized to need for irrational number, in particular the irrationality of the √2
• 15. REL-LIFE PROBLEM Description the problem in mathematical way Solve the problem Interpret the solution in the real-life problem Does the solution capture the real life problem y e s Modeling
• 18. An arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15 … is an arithmetic progression with common difference of 2. If the initial term of an arithmetic progression is and the common difference of successive members is d, then the nth term of the sequence is given by: and in general A finite portion of an arithmetic progression is called a finite arithmetic progression and sometimes just called an arithmetic progression. The sum of a finite arithmetic progression is called an arithmetic series. The behavior of the arithmetic progression depends on the common difference d. If the common difference is: •Positive, the members (terms) will grow towards positive infinity. •Negative, the members (terms) will grow towards negative infinity What this??
• 19. median is the numerical value separating the higher half of a data sample, a population, or a probability distribution ,from the lower half. The median of a finite list of numbers can be found by arranging all the observations from lowest value to highest value and picking the middle one. In individual series (if number of observationis very low) first one must arrange all the observations in ascending order. Then count(n) is the totalnumber of observationin given data. If n is odd then Median (M) = valueof ((n + 1)/2)th item term. If n is even then Median (M) = value of [((n)/2)th item term + ((n)/2 + 1)th item term ]/2 Meaning of
• 20. The mode is the value that appearsmost often in a set of data. The mode of a sample is the element that occurs most often in the collection.For example, the mode of the sample [1, 3, 6, 6, 6, 6, 7, 7, 12, 12, 17] is 6 the arithmetic mean or simply the mean or average when the context is clear, is the sum of a collection of numbers divided by the number of numbers in the collection.
• 21. Shape Volume formula Variables Cube a = length of any side (or edge) Cylinder r = radius of circular face, h = height Prism B = area of the base, h = height Rectangular prism l = length, w = width, h = height Sphere r = radius of sphere which is the integral of the surface area of a sphere Ellipsoid a, b, c = semi-axes of ellipsoid Pyramid B = area of the base, h = height of pyramid Cone r = radius of circle at base, h = distance from base to tip or height Write down formulas of
• 22. Surface areas Shape Equation Variables Cube s = side length Rectangular prism ℓ = length, w = width, h = height All Prisms B = the area of one base, P = the perimeter of one base, h = height Sphere r = radius of sphere Closed cylinder r = radius of the circular base, h = height of the cylinder Lateral surface area of a cone s = slant height of the cone, r = radius of the circular base, h = height of the cone Full surface area of a cone s = slant height of the cone, r = radius of the circular base, h = height of the cone Pyramid B= area of base, P = perimeter of base, L = slant height