Extreme Learners – Mathematics

What you’ll learn
Elementary Algebra
Elementary Arithmetic
Elementary Geometry and mensuration
Elementary Data handling and graph
Requirements
Be ready to enjoy the subject
Description
This course covers Algebra, Arithmetic, Geometry, Mensuration, Data Handling and Graph as per the CBSE syllabus of Class 8 level. The course is helpful in making one comfortable with these topics and provides a good start for building a strong foundation with focus on concept clarity.
Algebra
In Algebra, there are 3 major topics in this course — Linear Equations in One Variable, Algebraic Expressions and Factorization of Algebraic Expressions. It starts with concept of linear, formulating linear equations, solving them and some applications of this concept. Formulation of linear equations is start of linear programming and modelling that has great applications in advanced topics like Artificial Intelligence and Machine Learning. Then, this course goes into algebraic expressions, terms, factors, coefficients etc. to make you comfortable with the language of algebra. It formulates few algebraic expressions for real life problems and discusses the steps to make you able to formulate expressions on your own. It also discusses about operations like addition, subtraction and multiplication of algebraic expressions.
There are few examples of simplification of expressions which can be helpful in making expressions simpler without affecting their properties. This is useful in future to make mathematical model simpler and less computation extensive.
There are few popular algebraic identities that make the application of algebraic expressions fast and convenient. We discuss and apply some of the identities in this course.
In Algebra, we also discuss various techniques to factorize algebraic expressions. It is recommended that you watch the videos and understand the concepts discussed there. If required, keep pausing the videos to give yourself sufficient time to make yourself comfortable with that. Apply these concepts on problems given in your textbook. In case of difficulty, watch the videos again.
Arithmetic
It starts with concepts of inverse and identity. Gets into the need of various types of numbers. It explores some of the properties of numbers and then makes you explore on your own. It discusses about variables in direct, inverse or no proportion and various applications of them.
Then this course gets into some of the most commonly used concepts in arithmetic like percent and interest. It goes deep into increasing and decreasing various numbers with percent which is different than doing same with numbers. It makes one understand interest rate, compounding of interest and impact of compounding on interest. All these concepts have been discussed with real life applications.
This course also discusses powers and exponents. These are useful in working with very large and small numbers. We discuss here positive and negative exponents. Concepts of squares, square roots, cubes and cube roots are discussed in detail. Some of the interesting patterns with numbers leading to these concepts are extremely helpful in developing smart approach in applying them in real life problems.
Data Handling and Graph
This can be the first course on data and related topics for everyone. No matter, what field one wants to specialize, being able to make valuable meaning from data provide distinct advantage in achieving the goal. Every business and service have to make extensive use of data to remain competitive.
This course starts at the most fundamental level by discussing various types of data. It helps you in organizing these data and presenting them in such forms that can be used intuitively in deriving meaningful information from them. We discuss about various types of graphs, interpret them and do some exercises.
We live with uncertainties all around. This course also introduces the concept of probability that is used in measuring and managing uncertainties.
The concepts discussed in this course grow at advanced level into the specialized fields like artificial intelligence, data science, algorithms, quantitative finance, etc. All the contents in this course have been created by professionals who are passionate about learning, applying and teaching Mathematical concepts. As you go through the course, you find that certain points are repeated more frequently than others. Discussions on certain topics go much deeper than some other topics. Sometimes, same topic is discussed with quite a few variations. These details have been decided based on analysis of learning difficulties faced by various students. The course helps in understanding the concepts deeply, encourages to apply the concepts learnt and prepares the students to face future challenges in enjoying way with ease.
Geometry and Mensuration
Students finding geometry and mensuration somewhat difficult can enjoy this course and learn with ease. Students who are comfortable with these topics will be able to dive deeper in these concepts and make these topics their strong topics.
This course focuses on understanding the basics deeply and hence is able to create excitement among students to learn and apply the concepts of geometry and mensuration.
It starts with simple and not simple curves. Gets into the concept of convex and concave. Then, it discusses various types of quadrilateral and their properties based on sides, angles and diagonals. Some of the concepts related to congruence of triangles and properties of parallel lines are revised here.
The course is also an introductory course on mensuration. It introduces the concept of perimeter and area for two dimensional surfaces. It goes into meaning and application of these concepts and also solves some interesting real life applications.
There are sections on surface area and volume of three dimensional bodies. Few numerical problems related to relationships between them and making use of them in some real life applications are also solved here.
Construction of quadrilaterals and understanding shapes have also been included in this course.
All the contents in this course have been created by professionals who are passionate about learning, applying and teaching Mathematical concepts. As you go through the course, you find that certain points are repeated more frequently than others. Discussions on certain topics go much deeper than some other topics. Sometimes, same topic is discussed with quite a few variations. These details have been decided based on analysis of learning difficulties faced by various students. The course helps in understanding the concepts deeply, encourages to apply the concepts learnt and prepares the students to face future challenges in enjoying way with ease.
Topics in this course go long way in higher classes/ grades in Schools. They form significant part of tests related to Numerical Ability, Quantitative Aptitude, Mathematical Reasoning etc. Students have to take these tests when they try for entrance examination in professional courses or take competitive examinations for various jobs. Majority of the students find it time consuming and difficult at that stage. This results into poor preparation for the examination and dis-satisfactory result. The only wise way to be strong in such situations is to learn these topics in right way right here.
Never hesitate in asking questions.
*As per the Udemy policy related to young students "those under 18 but above the age of consent may use the services only if a parent or guardian opens their account, handles any enrollments, and manages their account usage."
Who this course is for
Students learning mathematics at elementary school level
Students needing to work on some mathematics basics for competitive examinations

Homepage

https://www.udemy.com/course/school-mathematics/

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