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Krista King

) and an additional 19 workbooks with extra practice problems, to help you test your understanding along the way. Become a Calculus 1 Master is organized into the following sections:

  • Limits & Continuity

  • Derivatives

  • Applications of Derivatives

AND HERE' We start from the beginning... I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it.

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) and an additional 19 workbooks with extra practice problems, to help you test your understanding along the way. Become a Calculus 1 Master is organized into the following sections:

  • Limits & Continuity

  • Derivatives

  • Applications of Derivatives

AND HERE' We start from the beginning... I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it.

Notes: The notes section of each lesson is where you find the most important things to remember. It’s like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don’t.

Quizzes: When you think you’ve got a good grasp on a topic within a course, you can test your knowledge by taking one of the quizzes. If you pass, great. If not, you can review the videos and notes again or ask for help in the Q&A section.

Workbooks: Want even more practice? When you've finished the section, you can review everything you've learned by working through the bonus workbook. The workbooks include tons of extra practice problems, so they're a great way to solidify what you just learned in that section.

HERE' She's very easy to understand.” - Dean V.

  • “I'm really enjoying how the course has been simplified and made easy to understand. The quizzes after every section helped solidify the concepts. Everything is explained in detail and with great simplicity. I really like the way Krista teaches, It's quite clear, straightforward and easy to understand. It's comprehensive interactive course and totally worth the time and money. I bought all calculus volumes.” - Ghaith A.

  • “Very well-made. Instructor explained everything clearly; found no difficulties understanding topics of study through instructor's teaching methods. Done very well, overall. Glad to have invested in this course. ” - Anish S.

  • “” - Bonnie H.

  • “There is very clear instructions. I'm learning this before actually taking calculus in college so I can have a deeper understanding of math (I'm a math major). She explains everything very thoroughly and works through every problem as if you're a beginner. I will say that I am terrible at receiving audible information but brilliant with someone showing me how to do something on a board and she makes it very clear at understanding everything. I am very pleased to have this much course coverage. I feel like I have my own personal tutor without the expense. Btw if you like math, trigonometric identities are fun. ” - Christian R.

  • “I am very satisfied with this course. It is very clear, delivers all the interesting topics I like that I am taken from knowing little to actually knowing the calculus including the applied mathematics too. This is only Calculus I but it gives me not only sense of accomplishment and understanding but also the foundation for the future courses.” - Robert B.

  • “I'm self studying mathematics for my electrical engineering degree and this course has been very VERY helpful. I find myself doing these videos before my homework. It makes me want to keep learning. Thank you Krista.” - Lester S.

  • YOU'

    I can't wait for you to get started on mastering calculus 1.

    - Krista :)

    Enroll now

    What's inside

    Learning objectives

    • Limits & continuity, including how to solve every kind of limit problem, and how to find discontinuities in a function
    • Derivatives, including all of the derivative rules, the infamous chain rule, and how to do implicit differentiation
    • Applications of derivatives, including two of the hardest topics from calc 1: optimization and related rates

    Syllabus

    Introduction and resources
    What we'll learn in this course
    How to get the most out of this course
    Download the formula sheet
    Read more

    Course notes for idea of the limit.

    Learn about limits and continuity, how to use different techniques to the find the limit, and how to categorize different types of continuity.

    Proving that the limits does not exist calculus video example.

    Course notes for precise definition of the limit.

    Precise definition of the limit calculus video example.

    Intermediate value theorem, open interval calculus video example.

    Solving with conjugate method calculus video example.

    Trigonometric limits calculus video example.

    How to find the value that makes the function continuous calculus video example.

    Traffic lights

    Read about what's good
    what should give you pause
    and possible dealbreakers
    Develops limits and continuity, which are a foundation for more advanced calculus
    Teaches derivatives and their different rules, which is essential for understanding calculus
    Explores applications of derivatives, which is a core skill for many scientific and engineering fields
    Provides a comprehensive study of Calculus 1, offering a strong foundation for further exploration of mathematics
    Utilizes comprehensive workbooks with practice problems to reinforce understanding
    Taught by instructors who are clear and easy to follow

    Save this course

    Create your own learning path. Save this course to your list so you can find it easily later.
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    Reviews summary

    Clear and beginner-friendly calculus 1

    According to learners, "Become a Calculus 1 Master" is a largely positive course, frequently praised for its clear and easy-to-understand explanations. Students appreciate that the instructor starts from the beginning and works through problems thoroughly, making it suitable even for those who have struggled with calculus previously. Many find it provides a strong foundation, useful for college preparation, engineering self-study, or just gaining a deep understanding. The course is described as comprehensive, covering basics well, and offering helpful features like quizzes to solidify concepts. It is considered worth the time and money by several reviewers. One reviewer wished for more challenging problems and proofs, but the overall feedback highlights its effectiveness for building foundational mastery.
    Starts with basics and works through problems step-by-step.
    "taken from knowing little to actually knowing the calculus including the applied mathematics too. This is only Calculus I but it gives me not only sense of accomplishment and understanding but also the foundation for the future courses."
    "She explains everything very thoroughly and works through every problem as if you're a beginner. I will say that I am terrible at receiving audible information but brilliant with someone showing me how to do something on a board..."
    "I'm really enjoying how the course has been simplified and made easy to understand."
    "Everything is explained in detail and with great simplicity."
    Builds strong understanding and is a worthwhile investment.
    "It is very clear, delivers all the interesting topics I like that I am taken from knowing little to actually knowing the calculus including the applied mathematics too. This is only Calculus I but it gives me not only sense of accomplishment and understanding but also the foundation for the future courses."
    "I feel like I have my own personal tutor without the expense."
    "It's comprehensive interactive course and totally worth the time and money. I bought all calculus volumes."
    "Glad to have invested in this course."
    "I'm self studying mathematics for my electrical engineering degree and this course has been very VERY helpful. I find myself doing these videos before my homework."
    "Good course overall. Covers all the basics well."
    Explanations are very clear and easy to grasp.
    "It is very clear, delivers all the interesting topics I like that I am taken from knowing little to actually knowing the calculus including the applied mathematics too."
    "She explains everything very thoroughly and works through every problem as if you're a beginner... makes it very clear at understanding everything."
    "Everything is explained in detail and with great simplicity. I really like the way Krista teaches, It's quite clear, straightforward and easy to understand."
    "Instructor explained everything clearly; found no difficulties understanding topics of study through instructor's teaching methods. Done very well, overall."
    "She's very easy to understand."
    "Krista explains everything very well. I have been struggling with Calculus for a long time and now I can understand it. Thank you."
    Could benefit from more difficult problems and proofs.
    "Good course overall. Covers all the basics well. I would prefer more challenging problems and maybe some proofs."

    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 Become a Calculus 1 Master with these activities:
    Review the concepts of limits and continuity
    Refreshing your knowledge of limits and continuity will provide a strong foundation for understanding derivatives and their applications.
    Browse courses on Limits
    Show steps
    • Review your notes from previous courses or textbooks on limits and continuity.
    • Take practice quizzes or solve problems to test your understanding.
    • Focus on understanding the definitions, properties, and applications of limits and continuity.
    Write a summary of the main concepts and techniques in a specific chapter
    Summarizing the main concepts and techniques in a specific chapter will help you reinforce your understanding and identify areas where you may need further review.
    Show steps
    • Choose a specific chapter from the course materials.
    • Read the chapter carefully and take notes on the key concepts and techniques.
    • Write a concise summary of the main points, including examples and any challenges you encountered.
    Watch video tutorials on related rates problems
    Watching video tutorials will provide visual and auditory explanations to help you understand related rates problems.
    Show steps
    • Search for video tutorials on related rates problems on platforms like YouTube or Coursera.
    • Watch the videos and take notes on the key concepts.
    • Pause the videos when needed to reflect and understand the explanations.
    Five other activities
    Expand to see all activities and additional details
    Show all eight activities
    Participate in online discussions with classmates
    Engaging with classmates in online discussions will allow you to ask questions, share insights, and learn from others' perspectives.
    Show steps
    • Log into the online discussion forum for the course.
    • Read the discussion topics and any existing posts.
    • Post questions or comments to start or contribute to discussions.
    Solve optimization problems using derivatives
    Solving optimization problems will help you apply derivatives in practical situations to find maximum or minimum values.
    Show steps
    • Identify the function to be optimized.
    • Find the derivative of the function.
    • Set the derivative equal to zero and solve for the critical points.
    • Evaluate the function at the critical points and any endpoints to find the maximum or minimum value.
    Practice solving complex limit problems
    Practice solving complex limit problems to solidify your understanding of limits and their applications.
    Browse courses on Limits
    Show steps
    • Identify the type of limit problem you are dealing with (e.g., indeterminate form, one-sided limit, limit at infinity).
    • Apply the appropriate techniques (e.g., substitution, factoring, L'Hôpital's rule) to solve the problem.
    • Check your answer by using a graphing calculator or other methods.
    Develop a visual representation of a function and its derivative
    Creating a visual representation of a function and its derivative will help you visualize and understand the relationship between them.
    Browse courses on Derivatives
    Show steps
    • Choose a function to represent.
    • Graph the function using a graphing calculator or software.
    • Find the derivative of the function.
    • Graph the derivative on the same graph as the function.
    • Analyze the graphs to identify how the derivative relates to the function's behavior (e.g., increasing/decreasing, maximum/minimum).
    Participate in online coding challenges related to calculus concepts
    Participating in online coding challenges will test your problem-solving skills and deepen your understanding of calculus concepts in a practical way.
    Browse courses on Calculus
    Show steps
    • Find online coding challenges platforms that offer problems related to calculus.
    • Choose challenges that align with the topics you are covering in the course.
    • Attempt to solve the problems using your knowledge of calculus.

    Career center

    Learners who complete Become a Calculus 1 Master will develop knowledge and skills that may be useful to these careers:
    Mathematician
    Mathematicians develop and apply mathematical theories and techniques to solve problems in various fields. Calculus 1 is a fundamental part of a Mathematician's training, providing a foundation for advanced mathematical concepts and analysis. Become a Calculus 1 Master can be a valuable resource for those pursuing a career in Mathematics, as it offers a comprehensive introduction to Calculus 1.
    Quantitative Analyst
    Quantitative Analysts use mathematical and statistical models to analyze and interpret financial data. Calculus 1 concepts form a foundation for Quantitative Analysts, as they need a strong understanding of derivatives, limits, and optimization to develop and analyze these models. Become a Calculus 1 Master is a valuable course for those seeking to enter this field.
    Statistician
    Statisticians collect, analyze, and interpret data to help businesses and organizations make informed decisions. They use Calculus 1 concepts like derivatives and optimization to develop statistical models and analyze data. Become a Calculus 1 Master provides a solid foundation in these concepts, making it a useful course for aspiring Statisticians.
    Actuary
    Actuaries develop and use mathematical models to assess and manage risks and uncertainties. They apply mathematical and statistical techniques to a wide range of problems in insurance, finance, and other areas. Calculus 1 forms a core part of an Actuary's toolkit, as they need to be able to calculate probabilities, predict future cash flows, and model complex financial scenarios. Become a Calculus 1 Master is a useful course to help you build a strong foundation in Calculus 1.
    Financial Engineer
    Financial Engineers develop and implement mathematical models to solve problems in the financial industry. Calculus 1 forms a fundamental part of their toolkit, as it provides the mathematical foundation for modeling and analyzing financial data. Become a Calculus 1 Master may be a useful resource for those seeking to enter this field, as it provides a comprehensive introduction to essential Calculus 1 concepts.
    Operations Research Analyst
    Operations Research Analysts use advanced analytical techniques, including Calculus 1 concepts like derivatives and optimization, to solve complex problems and improve efficiency. This course provides a solid introduction to these concepts. It can be a valuable resource for aspiring Operations Research Analysts.
    Biostatistician
    Biostatisticians apply statistical methods to analyze and interpret biological data. Calculus 1 forms a foundational part of their toolkit, as it provides the mathematical tools for understanding probability distributions and modeling biological processes. Become a Calculus 1 Master may be a useful resource to build a solid foundation in Calculus 1 for aspiring Biostatisticians, helping them develop the necessary problem-solving skills.
    Physics Teacher
    Physics Teachers develop and deliver lesson plans for Physics courses and instruct students in the principles of Physics. Calculus 1 forms a fundamental part of Physics and is often a prerequisite for higher-level Physics courses. Become a Calculus 1 Master may be a useful course for Physics Teachers to enhance their knowledge of Calculus and its applications in Physics.
    Data Scientist
    Data Scientists use their expertise in mathematics, statistics, and computer science to analyze large datasets and extract meaningful insights. Calculus forms an essential part of a Data Scientist's toolkit, as it provides the foundation for understanding and applying statistical techniques. Become a Calculus 1 Master may be a useful course to help build this foundation and equip oneself for problem-solving in this field.
    Business Analyst
    Business Analysts use data and analytical techniques to identify and solve business problems. Calculus 1 forms a part of an Analyst's toolkit, as it helps develop problem-solving skills and an understanding of how to model and analyze data. Become a Calculus 1 Master can be a useful resource for those seeking to enter the field and acquire a foundation in relevant concepts.
    Economist
    Economists study and analyze economic data to help governments and businesses understand and predict economic trends. Calculus 1 is a foundational subject for Economists, as it provides the mathematical tools for modeling economic behavior and analyzing data. Become a Calculus 1 Master may be a useful starting point to build a solid foundation in Calculus 1 for those seeking to enter this field.
    Data Analyst
    As a Data Analyst, you will collect, clean, and analyze data. You will turn raw data into information, which is vital for businesses to make informed decisions. Many businesses leverage Calculus 1 concepts like limits and derivatives to model data and make predictions. The powerful problem-solving and analytical skills developed in Calculus 1 are transferable to fields across industries. Become a Calculus 1 Master may be a useful course to help build a foundation in these concepts relevant to Data Analysts.
    Software Engineer
    Software Engineers design, develop, and maintain software systems. Calculus 1 forms a part of their mathematical toolkit, as it helps develop problem-solving skills and build a foundation for understanding and optimizing algorithms and data structures. Become a Calculus 1 Master may be a useful course to help develop these skills, which are transferable to software engineering.
    Financial Analyst
    Financial Analysts help make investment decisions and assess financial risks. They study data related to companies and their competitors. Calculus 1 is foundational in building essential financial modeling skills. This course may be useful for those seeking to enter the Financial Analyst field, as it introduces foundational Calculus 1 concepts like limits and derivatives and provides practice with problem-solving.
    Data Visualization Specialist
    Data Visualization Specialists create visual representations of data to communicate insights and make data more accessible. Calculus 1 can be a useful tool for understanding how to represent data effectively. Although it is not strictly required for this field, aspiring Data Visualization Specialists may find value in the problem-solving techniques and mathematical concepts covered in Become a Calculus 1 Master.

    Reading list

    We've selected 15 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 Become a Calculus 1 Master.
    Provides a rigorous and comprehensive introduction to measure theory, which prerequisite for advanced studies in calculus and other areas of mathematics.
    Provides a rigorous treatment of calculus, making it suitable for students who want to delve deeper into the mathematical foundations of the subject.
    This classic textbook provides a comprehensive and rigorous treatment of calculus, making it suitable for students who want to pursue advanced studies in mathematics or related fields.
    Provides a rigorous and comprehensive introduction to real analysis, which prerequisite for advanced studies in calculus and other areas of mathematics.
    Provides a rigorous and comprehensive introduction to calculus, making it suitable for students who want to pursue advanced studies in mathematics or related fields.
    Provides a rigorous and comprehensive introduction to calculus of several variables, making it suitable for students who want to pursue advanced studies in mathematics or related fields.
    Provides a rigorous and comprehensive introduction to calculus using differential forms, making it suitable for students who want to pursue advanced studies in mathematics or related fields.
    This textbook is widely used in college calculus courses and provides a comprehensive overview of the topics covered in the course, including limits, continuity, derivatives, and applications of derivatives.
    This textbook provides a comprehensive overview of calculus, with a focus on applications to real-world problems, making it a valuable resource for students who want to develop a practical understanding of the subject.
    Provides a comprehensive overview of calculus, covering a wide range of topics, making it a valuable resource for students who want to develop a strong understanding of the subject.
    Another popular calculus textbook, Thomas' Calculus offers a clear and concise explanation of the fundamental concepts of calculus, making it a valuable resource for students.
    Comprehensive study guide that provides practice problems and solutions for a wide range of calculus topics, making it an excellent resource for students who want to reinforce their understanding.
    Provides an intuitive and conceptual approach to calculus, making it suitable for students who want to develop a deeper understanding of the subject.
    For students who prefer a more accessible approach, Calculus for Dummies provides a simplified explanation of calculus concepts, making it a useful supplement to the course.

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