Mastering the Fundamentals of Math (Mathematics) : Part 1 from Udemy

2) 1 free chapter: I have given one complete chapter (the chapter of " This gives you an idea of my style of teaching and the depth to which I discuss a topic. To gain full perspective, watch it completely and not just in bits-and-pieces.

3) Hand-written notes: You will see everything being handwritten by me on the board, be it definitions or concepts or examples. This will make your task of notes-taking extremely easy.

4) Explanation from level zero: I have started every chapter from level zero. And then, step-by-step, I have moved on to more difficult concepts.

5) In-depth Explanation: Every concept has been explained in great details. For easy understanding, you will also see me solving many on-spot problems while discussing a particular topic.

6) Ready-made solved problems: You will find tons of problems of varying difficulty solved by me. You can easily score 95% marks in your school exams just by watching and hand-practicing these problems. No need to solve any other material after these. Sometimes I have demonstrated multiple methods to solve the same problem. This is done to broaden your line of thought.

7) Chapter revision problems: In some chapters, I have included the revision of the chapter through problems to help you with your quick revision during your exam time.

YOU'

2) Contents of Part 1: Basics of numbers (including Roman numeral system, Hindu-Arabic numeral system, International system of numeration, Indian system of numeration, Rounding off, Estimation), Factors & Multiples (including prime numbers, composite numbers

3) Contents of Part 2: Algebra, Linear equations in 1 variable, Plane geometry (covering Point, Line segment, Line, Ray, Angle, Pair of Angles, Pair of lines, Parallel lines & a transversal, Curve, Polygon, Triangle, Quadrilateral, Circle), 3-dimensional geometry (covering Cuboid, Cube, Cylinder, Cone, Sphere), Geometrical constructions, Mensuration, Statistics, Trigonometry, Coordinate geometry, and Logarithm.

HOW There is no need to begin the course from the first lecture itself. In fact, jump directly to the topic you need the most at this moment and begin from there. For example: If a student wants to learn 'Decimal number system', then he/she must directly jump to the first video of that section. No need to go through the lectures appearing before it as per the sequence.

2) Length of the course: The length of the course is a little bit longer than usual. This is because I have handwritten almost everything that I have discussed (and this consumes a lot of time) and I have also solved much more problems than usual (as done in coaching classes) to clear the concepts concretely. Students will gain immensely just by watching me solve the problems. You are advised to make adjustments in watching the lectures as per your needs and requirements.
3) For fast coverage: Watch the videos in double speed whenever required.

4) If your exam is near by: If your exam is near by and you already know the theory of a particular chapter, just watch the 'Problem sessions' of that chapter for fast coverage. Later on, you should go for thorough coverage.

5) Time required to finish the course: Ideally, a student devoting nearly 2 hours per day learning from this course, is expected to cover the entire course (both Part 1 and Part 2) in about 4 months. However, there is no need to rush, as the course is available to you forever after the purchase. Personally, I would recommend that you cover lectures at your own pace and convenience. Just make sure that you learn something from it on a daily basis, even if it is just a 15 minutes content that you covered in the entire day. Consistency is the key.

In every chapter you will find many new things to learn which I am sure you never got to learn before.

2) One of the best taught chapters in Part 2 is the chapter of 'Geometry'. I guarantee that very less students study this topic the way it should actually be studied. Once studied you will develop a rock-solid foundation in Geometry.

3) Similarly, the chapter of 'Number System' in Part 1 has been presented in quite a meticulous manner. You will feel this yourself.

4) Many other chapters like: 'Statistics', 'Coordinate geometry', and almost every chapter are also quite elaborate.

What's inside

Learning objectives

Chapter 0: some preliminaries (which you have already studied in your lower classes)
Chapter 1: the basics (number, numeral, numeration, roman numerals, hindu-arabic numerals, international numeration, indian numeration, face & place values,...
... continued (expanded form, comparison of numbers, formation of numbers, greatest and the smallest numbers, rounding off, and estimation)
Chapter 2: factors and multiples (factors, multiples, common factors, common multiples, hcf, lcm, prime & composite numbers, co-prime numbers, twin-primes, etc)
Chapter 3: rules of divisibility
Chapter 4: divisibility tests of numbers (with proofs)
Chapter 5: the number system (natural numbers, whole numbers, integers, fractions and rational numbers, comparison & ordering, operations, associated laws)
Chapter 6: decimal number system
Chapter 7: bases and exponents
Chapter 8: binary number system

Chapter 9: the set theory
Chapter 10: the unitary method
Chapter 11: ratio and proportion
Chapter 12: percentage
Chapter 13: profit and loss
Chapter 14: simple interest
Chapter 15: average speed
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Chapter 0: some preliminaries (which you have already studied in your lower classes)
Chapter 1: the basics (number, numeral, numeration, roman numerals, hindu-arabic numerals, international numeration, indian numeration, face & place values,...
... continued (expanded form, comparison of numbers, formation of numbers, greatest and the smallest numbers, rounding off, and estimation)
Chapter 2: factors and multiples (factors, multiples, common factors, common multiples, hcf, lcm, prime & composite numbers, co-prime numbers, twin-primes, etc)
Chapter 3: rules of divisibility
Chapter 4: divisibility tests of numbers (with proofs)
Chapter 5: the number system (natural numbers, whole numbers, integers, fractions and rational numbers, comparison & ordering, operations, associated laws)
Chapter 6: decimal number system
Chapter 7: bases and exponents
Chapter 8: binary number system
Chapter 9: the set theory
Chapter 10: the unitary method
Chapter 11: ratio and proportion
Chapter 12: percentage
Chapter 13: profit and loss
Chapter 14: simple interest
Chapter 15: average speed
Show more
Show less

Syllabus

CH 0: Some preliminaries

The prerequisites: Introduction

How to 'add' numbers

How to 'subtract' numbers

Traffic lights

Read about what's good

what should give you pause

and possible dealbreakers

Includes ready-made solved problems and handwritten notes, which can help students easily score well in school exams with focused practice

Starts every chapter from level zero and gradually progresses to more difficult concepts, making it suitable for learners with little to no prior knowledge

Features handwritten explanations and on-the-spot problem-solving demonstrations, which can help visual learners grasp concepts more effectively

Allows learners to jump directly to the topics they need the most, providing flexibility for students with specific learning goals or time constraints

Features a meticulously taught chapter on geometry in Part 2, which aims to provide learners with a rock-solid foundation in the subject

Suggests that students can adjust the video speed and focus on problem sessions if they already know the theory, allowing for personalized learning

Reviews summary

Foundational math with detailed explanation

According to learners, this course provides a very strong foundation in fundamental mathematics. Students particularly appreciate how the course starts from level zero and provides in-depth explanations for every concept. Many reviews highlight the abundance of solved problems and clear, step-by-step teaching style, making it ideal for beginners or those needing to refresh basics. While the length of the course is noted, the comprehensive approach and helpful handwritten notes are seen as significant benefits, enabling students to build solid understanding.

Pace is detailed, potentially slow for some.

"The course is very detailed, which is great, but sometimes the pace felt a bit slow."

"If you're already familiar with some topics, you might find the beginning moves slowly."

"I watched some parts at a faster speed because the explanations were very thorough."

"For a complete beginner, the pace is perfect, but others might need to speed it up."

Visual, handwritten lecture style is helpful.

"The handwritten notes on the screen made it easy to follow along and take my own notes."

"I preferred the handwritten explanations; it felt more like being in a classroom."

"The visual nature of the handwritten examples helped reinforce my learning."

"It was helpful to see everything written out step-by-step during the lectures."

Covers a wide range of fundamental topics.

"This course covers a wide array of fundamental math topics needed for a strong base."

"I was surprised by how many basic areas of math were covered in detail."

"It feels like a complete package for anyone wanting to master math fundamentals."

"The syllabus is extensive, covering everything from basic numbers to percentages."

Features numerous examples and problem sessions.

"The problem sessions after each topic are very helpful."

"I loved that there were tons of problems solved; it really helped me practice."

"Watching the instructor solve problems on-screen was a great way to learn application."

"The course includes many examples that clarify the concepts discussed."

Concepts are explained thoroughly and in depth.

"The explanation given in this course is very clear, crisp, and helpful."

"Every concept was explained in such detail, I finally understood things I missed in school."

"I found the in-depth explanations incredibly useful for solidifying my understanding."

"The thoroughness of the lectures ensures no stone is left unturned on a topic."

Explains concepts from the very beginning.

"I really like how the instructor starts everything from the absolute basics, assuming you know nothing."

"The course truly starts from level zero, which was perfect for me needing a complete refresh."

"Even complex topics are broken down simply, beginning with the fundamental ideas."

"I appreciated the detailed explanations that build up step-by-step from the ground up."

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Mastering the Fundamentals of Math (Mathematics) : Part 1 with these activities:

Review Basic Arithmetic

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Reinforce your understanding of basic arithmetic operations to build a solid foundation for more advanced mathematical concepts covered in the course.

Browse courses on Addition

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Practice addition, subtraction, multiplication, and division problems.
Review order of operations (PEMDAS/BODMAS).
Solve word problems involving basic arithmetic.

Review 'Math Doesn't Suck' by Danica McKellar

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Improve your confidence and understanding of fundamental math concepts through this engaging and accessible book.

View I Love You 100: A Counting Book Full of Love... on Amazon

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Read the chapters on fractions, decimals, and percentages.
Work through the example problems and practice exercises.
Focus on understanding the underlying concepts rather than memorizing formulas.

Review 'Basic Mathematics' by Serge Lang

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Strengthen your understanding of core mathematical principles by working through the examples and exercises in this book.

View Neural Networks are Homeomorphisms: An... on Amazon

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Read the chapters relevant to the course syllabus.
Work through the example problems in each chapter.
Attempt the exercises at the end of each chapter.

Four other activities

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Show all seven activities

Practice Divisibility Rules

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Improve your speed and accuracy in applying divisibility rules, a key skill for simplifying fractions and solving number theory problems.

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Create a set of numbers and test their divisibility by 2, 3, 4, 5, 6, 9, and 10.
Time yourself while testing divisibility to improve speed.
Check your answers against a calculator or online resource.

Tutor a Peer in Number Systems

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Deepen your understanding of number systems by explaining the concepts to a peer who is struggling with the material.

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Identify a classmate who needs help with number systems.
Schedule a tutoring session to review the concepts together.
Explain the different number systems and how to convert between them.
Answer your peer's questions and provide additional examples.

Create a Number System Conversion Chart

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Solidify your understanding of different number systems (decimal, binary, Roman numerals) by creating a visual aid that demonstrates conversions between them.

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Research the rules for converting between decimal, binary, and Roman numeral systems.
Design a chart that clearly shows the conversion process for each system.
Include examples of conversions for different numbers.
Share your chart with classmates for feedback.

Create a Cheat Sheet for Math Fundamentals

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Consolidate your knowledge of key formulas, rules, and concepts by creating a concise cheat sheet for quick reference.

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Review your notes, textbook, and online resources.
Identify the most important formulas, rules, and concepts.
Organize the information in a clear and concise format.
Include examples to illustrate each concept.

Career center

Learners who complete Mastering the Fundamentals of Math (Mathematics) : Part 1 will develop knowledge and skills that may be useful to these careers:

Mathematics Teacher

Mathematics teachers educate students in mathematical principles and concepts. These teachers prepare lesson plans, instruct students, grade assignments, and assess progress. A deep understanding of mathematics, including fundamental concepts, is essential. This course helps reinforce the basic mathematical principles one will teach to students. A future mathematics teacher will find that the course's thorough coverage of number systems, factors, multiples, and divisibility rules provides a solid base for instruction. The step-by-step explanations and numerous solved problems in the course are helpful for preparing engaging and effective lessons.

See salaries and explore the career path for Mathematics Teacher

Financial Advisor

Financial advisors provide advice and guidance to clients on investment strategies, retirement planning, and other financial matters. Mastering basic math concepts like ratios, percentages, and simple interest, can enhance ability to offer sound financial recommendations. This course covers the precise mathematical components required for the role, and is especially helpful for those looking to transition into the field. Financial advisors will find that this course will help provide the information they need.

See salaries and explore the career path for Financial Advisor

Data Analyst

A data analyst interprets data and turns it into information which can offer ways to improve a business, thus affecting business decisions. Mastering foundational mathematics, like the skills taught in this course, helps one understand the numerical underpinnings of datasets. This course covers essential mathematical concepts such as number systems, including decimal and binary, alongside statistical understanding. A data analyst will find the lessons on number systems especially useful for understanding how data is represented and manipulated, helping with data interpretation and analysis.

See salaries and explore the career path for Data Analyst

Financial Analyst

The role of a financial analyst involves evaluating financial data to make investment or financial recommendations. This course may be useful to anyone who wishes to become a financial analyst. The course's deep dive into number systems, ratios, percentages, and interest calculations builds a solid quantitative foundation. A strong grasp of percentages, as covered in this course, is essential for analyzing financial statements and calculating returns on investment. Understanding simple interest, also taught in this course, is crucial for debt management and investment analysis. Such knowledge helps a financial analyst make informed decisions.

See salaries and explore the career path for Financial Analyst

Accountant

Accountants prepare and examine financial records. Accuracy is paramount, and a strong understanding of fundamental math is essential. This course may be useful to anyone who wishes to become an accountant. It delves into number systems and operations, ensuring a solid base for precise calculations. Concepts such as factors, multiples, and divisibility rules, covered in this course, aid in auditing and identifying discrepancies. The detailed explanation of the number system, including integers and rational numbers, as taught in the course, is directly applicable to creating accurate financial statements. As such, this course may be helpful to a future accountant.

See salaries and explore the career path for Accountant

Budget Analyst

Budget analysts are responsible for helping organizations manage their finances by developing and monitoring budgets. A course like this one may be useful to anyone who wishes to become a budget analyst. The course reinforces skills in number systems, ratios, and percentages, which are fundamental to budgeting. Understanding how to calculate percentages, as taught in the course, is crucial for budget allocation and variance analysis. The coverage of ratio and proportion helps budget analysts accurately distribute funds across different departments or projects. Any concept covered in this course may be useful a budget analyst.

See salaries and explore the career path for Budget Analyst

Market Research Analyst

A market research analyst studies market conditions to examine potential sales of a product or service. This course may be useful to anyone who wishes to become a market research analyst. Foundational math skills are key to interpreting statistical data and identifying trends. This course covers essential mathematical concepts, including number systems and percentages. Understanding how to calculate percentages is critical for analyzing survey data and market share. Skills in ratio and proportion, also taught in this course, assist in comparing market segments and identifying growth opportunities. This course may be particularly helpful to anyone who wishes to become a market research analyst.

See salaries and explore the career path for Market Research Analyst

Data Scientist

Data scientists analyze complex data sets to extract insights, develop predictive models, and solve business problems. Data scientists typically require an advanced degree. While the role requires advanced math, understanding foundational concepts is essential. This course helps anyone who wishes to become a data scientist by covering foundational topics such as number systems and basic operations. The set theory covered in this course may come in handy. This course helps build a base for more advanced work.

See salaries and explore the career path for Data Scientist

Statistician

Statisticians collect, analyze, and interpret numerical data to identify significant trends and relationships. Statisticians typically require an advanced degree. This course helps build a solid foundation in the fundamental math skills needed for statistical analysis. The course covers essential concepts, including number systems and basic operations. Understanding number systems and their properties, as covered in this course, is essential for data organization and interpretation. While a statistician requires more advanced mathematical knowledge, this course helps build a foundation for future learning.

See salaries and explore the career path for Statistician

Research Scientist

A research scientist designs and conducts experiments, analyzes data, and prepares reports on their findings. Research scientists typically require an advanced degree. Foundational math skills are essential to any kind of research. This course may be helpful to anyone who wishes to become a research scientist. The course may be particularly helpful by covering foundational topics such as number systems and basic operations, which are necessary for understanding mathematical data. The set theory covered in this course may come in handy.

See salaries and explore the career path for Research Scientist

Economist

Economists study the production and distribution of resources, goods, and services by collecting and analyzing data, researching trends, and evaluating economic issues. Economists typically require an advanced degree. This course may be useful to anyone who wishes to become an economist. While this role requires advanced mathematical and statistical modeling, grasping fundamental math concepts is crucial. This course may be helpful by covering foundational topics such as number systems and basic operations, which are necessary for understanding economic data and models. The skills learned helps build a base for more advanced econometric analysis.

See salaries and explore the career path for Economist

Software Engineer

Software engineers design, develop, and test software applications. A software engineer will find that this course may be useful. While coding often involves more complex math, understanding foundational concepts is beneficial. This course covers number systems, including binary, which is fundamental to computer science. Learning about different number systems and their properties, as taught in the course, helps with understanding how computers represent and manipulate data. Software engineers will find that this course builds a good basis for further study.

See salaries and explore the career path for Software Engineer

Actuary

Actuaries assess and manage financial risks, using mathematical and statistical models to forecast future events. This role typically requires advanced education and certification. The actuary role benefits from a strong foundation in mathematics. While advanced mathematical knowledge is essential for actuaries, this course builds a solid base in the core mathematical principles used in actuarial science. This course may be useful to anyone who wishes to become an actuary. The detailed instruction in number systems and operations helps understand complex models of financial risk.

See salaries and explore the career path for Actuary

Quality Control Inspector

Quality control inspectors ensure that products meet certain standards. These inspectors analyze and test products, as well as record and analyze data. A foundation in mathematical principles is essential. This course may be useful to anyone who wishes to become a quality control inspector. The skills learned helps with understanding measurement, ratios, and proportions, which are all integral to quality control. This course covers basic mathematics such as number properties, factors, and multiples. Thus, quality control inspectors will find that this course may be useful to them.

See salaries and explore the career path for Quality Control Inspector

Construction Estimator

Construction estimators collect and analyze data in order to estimate the quantity and cost of materials, equipment, and labor required for construction projects. Foundational math principles are essential to complete the job successfully. This course may be useful to anyone who wishes to become a construction estimator. This course covers core mathematical concepts, including number systems, ratios, and proportions. Knowledge of number systems and basic operations, as taught in the course, is vital for accurate calculations. Construction estimators will find that this course may be useful to them, and will help them gain a greater appreciation for the work.

See salaries and explore the career path for Construction Estimator

Reading list

We've selected two books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Mastering the Fundamentals of Math (Mathematics) : Part 1.

Neural Networks are Homeomorphisms

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Provides a comprehensive review of fundamental mathematical concepts. It covers arithmetic, algebra, and geometry, making it a valuable resource for students needing to solidify their understanding of basic math. While not directly aligned with every topic, it offers a strong foundation. It is often used as a supplementary text in introductory math courses.

Neural Networks are Homeomorphisms: An Introduction...

Paperback

I Love You 100: A Counting Book Full of Love

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Offers a friendly and accessible approach to pre-algebra concepts. It uses relatable examples and a conversational tone to make math more engaging for students who may struggle with the subject. While it covers a broader range of topics, the sections on fractions, decimals, and percentages can be particularly helpful for this course. It is best used as supplementary reading to build confidence.

I Love You 100: A Counting Book Full of Love...

Kindle Edition

Mastering the Fundamentals of Math (Mathematics)

Part 1

What's inside

Learning objectives

Syllabus

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Reviews summary

Foundational math with detailed explanation

Activities

Career center

Reading list

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