Pie chart and polygons
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This document provides information about photographic equipment production in 1971, including: - Pie charts showing the percentage production of different goods, with sensitized goods being the largest at 47% and still picture equipment the second largest at 12%. - The total value of production was 3980 million. - It also provides worked examples to calculate the ratio of sensitized goods to still picture equipment production (4:1) and the value of office copies produced in 1970 (765 million), given data about 1971 production. The document concludes by answering four math questions - about the number of triangles that can be inscribed in an octagon, the height of a rectangular cuboid given its volume and base dimensions, and the
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Do you need help in remembering formulas of Trigonometry? This could help you! Starting with how to convert degrees to radians and vice versa, you have formulas on how to calculate the arc length, aree of a sector of a circle, domain and range of trigonometric functions, evaluating trigonometric functions in the 4 quadrant angles, compound angles and their sum/ difference. The entire course is available at a reasonable price. Contact me for further details.
Formulas for system of equations matrix form
This is a collection of all formulas in my course " Matrix methods of solving equations".
There are formulae for finding the echelon form of a matrix and converting a matrix to its normal form.
Gauss Elimination method and Gauss Jordan method
Gauss Seidel iterative method
Finding inverse of a matrix using adjoint.
Useful for College Mathematics.
Reducing matrices to normal form: College math
This is the first session on my course Matrix methods . Here , you will learn various methods to convert a matrix to its echelon form and normal form. Given a matrix A, you will learn how to find non singular matrices P and Q such that PAQ is normal. A useful topic in college maths. The full course includes Guass Elimination method, Gauss Jordan method, Gauss Seidel method and finding the inverse of a matrix using adjoint. You can contact me for further details.
Relations and functions class 12 formulas
You get a complete list of all formulas needed for Class 12 maths Relations and Functions here. The entire course on Sets, Relations and Functions is available for sale.
Formulas of Probability :Class 12 maths
I present to you all the formulae of probability needed for classes 11 and 12, ISC, CBSE curriculum. These are covered in my course "Probability for class 12: questions with solutions.".
The entire course is available for Rs 1099 only.
Permutations formula for Class 11 maths
Here are a complete set of all the formulae that you need to know for Class 11 maths CBSE or ISC. A complete course on Class 11 Permutations and Combinations is available for
Rs 599 only. Discount of 10 % is there for a limited period.
Basic Concepts of Probability
This presentation covers a basic explanation of Probability and its concepts. It is useful for students of class 11 Mathematics and students preparing for the GRE QUANT and SAT exams.
For a comprehensive detailed course on Probability which involves independent events, mutually exclusive events. Multiplication theorem and much more, you can refer to my course on Udemy, namely
https://www.udemy.com/course/permutations-and-combinations-class-11-mathematics/?referralCode=8E0DCAB1DC56F4BC9B47
Permutations of distinct objects
Welcome to my course on Permutations and Combinations.I have a teaching experience of over 2 decades both at the high school level and undergraduate level.
The topic " Permutations and Combinations " have intrigued many students. This is because each problem is different. There is no one magic formula which applies to all problems. Permutations and Combinations is an important topic used extensively in Probability, also useful for the GRE QUANT and GMAT QUANT section. This course is divided into
I. introduction to Permutations
2. Permutations when all objects are not different
3.Circular Permutations
4. Combinations
5. Mixed problems on Combinations.
As a foreword, students taking this course are requested to practice the problems along with me. As an additional practice, you can practice the project. Feel free to contact me for any further help.
For the complete course on skillshare, use the link
https://skl.sh/2MwM93C
Newton's law of cooling and LR circuits/Engineering Maths
Here, we discuss problems on Newton’s Law of Cooling and LR circuits. We derive Newton’s law and the linear differential equation for Kirchoff’s law. This video is tailored specifically for students preparing for Engineering Mathematics, 1st semester, VTU syllabus. Questions from the previous year’s papers are explained in detail with solutions.
For more videos, subscribe to my channel
http://lnnk.in/@mathmadeeasy22
You can also visit my page
https://www.mathmadeeasy.co/lessons-1
for more videos.
Introducing videos on demand! Custom made videos on any math topic of your choice from classes 11 to the graduate level. Just drop a mail for your individual requirements.
Trigonometric functions of sums and differences/ class 11 maths
This document discusses trigonometric functions of sums and differences. It explains how to apply problems involving trigonometric functions of sums and differences, covering the basic sine, cosine, and tangent functions. The document also demonstrates how to convert between trigonometric sums or differences and products. A series of practice questions are provided to illustrate these concepts.
Engineering maths/Exact Differential equations
This video is helpful for Engineering maths students. Here, we discuss what are exact differential equations and learn various means and methods to solve them. 3 types of methods are well illustrated here.
Consider subscribing to this channel for more videos.
http://lnnk.in/@mathmadeeasy22
You can also visit my page
https://www.mathmadeeasy.co/lessons-1
You can subscribe to my playlist
http://lnnk.in/@engineering-maths-1
Feel free to contact me for any further help
GRE QUANT: PROBLEMS ON MIXTURES ,HELPFUL TRICKS
This is designed for students preparing for the GRE QUANT section. It explains problems on mixtures and solutions . A helpful technique is illustrated wherein we divide the problems into 2 types. In one type, 2 solutions are mixed and the other type deals with only one solution. Problems are illustrated in a step by step method.
For more videos, consider subscribing to my channel .
Visit my page https://www.mathmadeeasy.co/about-1
Visit my playlist on GRE QUANT http://lnnk.in/@gre-quant
APPROXIMATIONS IN DERIVATIVES
This is a useful topic for class 12 maths students and NATA maths students.
What are approximations?
Here, we use the concept of differential to find the approximate value of a function. We can find the values easily with a calculator as well! If y = f(x), we learn the differential of y, and learn the formulae used to calculate the approximate values of y. This video is application oriented. It focuses on solving problems based on the formula. We also learn about absolute error, approximate error and %error. As a teacher, I have found students getting confused about approximate error and actual value of the function.i have explained the difference in the video. So, watch this video to understand approximations.
This video is useful for Class 12 Maths students , ISC MATHS, CBSE MATHS and other boards.It is also useful for the NATA (maths) aptitude test for architecture
Consider subscribing to my channel for more videos.
Visit my page https://www.mathmadeeasy.co/about
Subscribe to my playlist
https://www.youtube.com/playlist?list=PL26R7TjUyi8zDE3-OcadJuTKlXApnFJG6
For further help, you can enrol for my masterclass on Applications of Derivatives which involves derivative as a rate measure, approximations, tangent and normal, increasing and decreasing functions, maxima and minima problems. Students tend to find this topic difficult.
TYPES OF PARABOLA
This presentation explains the 4 basic types of parabolas. It also shows how the focus, vertex, equation of the axis and directrix can be determined in each case. It also explains how the values change when the origin is shifted.
This is useful for grade eleven maths students.
This channel has videos for grades 11, 12, engineering mathematics and the NATA eligibility test for architecture. Consider subscribing to my channel for more videos.
You can visit my page
https://www.mathmadeeasy.co/lessons
for more videos.
You can enroll for my classes for grade 11 mathematics, for further help, if needed.
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Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
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Pie chart and polygons
- 1. GRE QUANT: PIE CHARTS, POLYGONS
- 2. PHOTOGRAPHIC EQUIPMENT PRODUCTION SENSITIZED GOODS MOTION PICTURE EQUIPMENT PREPARED PHOTOCHEMICALS MICROFILM OFFICE COPIES STILL PICTURE EQUIPMENT 47% 12% 5% 7% 4% 25% IOF 3980 MILLION In 1971
- 3. a) Approximately what was the ratio of the value of sensitized goods to the value of still picture equipment produced Ratio = 47% 12% 𝑎𝑝𝑝𝑟𝑜𝑥𝑖𝑚𝑎𝑡𝑒𝑙𝑦 4 ∶ 1 b) If the value of office copies produced in 1971 was 30 % greater than the corresponding value in 1970, what was the value of the office copies produced in 1970
- 4. Let the value of the office copies produced in 1970 = x Value in 1971 = 30 100 × 𝑥 + 𝑥 = 𝑥 + 3𝑥 10 = 1.3𝑥 𝑉𝐴𝐿𝑈𝐸 𝑖𝑛 1971 = 25 100 × 3980 = 995 𝑚𝑖𝑙𝑙𝑖𝑜𝑛 1.3 x = 995 𝑥 = 765 𝑚𝑖𝑙𝑙𝑖𝑜𝑛 = 𝑣𝑎𝑙𝑢𝑒 𝑖𝑛 1970
- 5. Question 2 How many unique triangles can be inscribed in the vertices of an octagon, if points A and B, 2 vertices in the octagon cannot make up the same triangle Number of triangles formed from the vertices of an octagon =8 𝐶3 = 56 To find the number of triangles that contain A and B Fix A and B , One point remaining can be chosen from the remaining 6 points in 6 ways
- 6. Number of triangles that contain A and B = 6 Number of triangles that do not contain A and B = 56- 6 =50 Question 3 A rectangular cuboid of volume 3200𝑚𝑚3 ℎ𝑎𝑠 𝑎 𝑟𝑒𝑐𝑡𝑎𝑛𝑔𝑢𝑙𝑎𝑟 𝑏𝑎𝑠𝑒 𝑜𝑓 𝑙𝑒𝑛𝑔𝑡ℎ 10 𝑚𝑚 and width 8mm. Find the height of the cuboid Volume = 𝑙 × 𝑤 × ℎ 3200= 10× 8 × ℎ h = 40 mm
- 7. Question 4 How many diagonals are there in a regular polygon of 6 sides A regular polygon of 6 sides has 6 vertices Number of lines that can be formed using these 6 vertices = 6 𝐶2 = 15 Of these 6 lines, 6 are the edges Number of diagonals = 15 - 6 = 9 *******************************
- 8. UCjmCXXIjd03JQad8-rUzs0Q Youtube channel id For more videos on GRE QUANT visit my youtube channel