Become a Calculus 1 Master from Udemy

) 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 :)

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

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

The EVERYTHING download

Get introduced to the concept of a limit.

Introduction to definition of the limit

RESOURCE: Quiz solutions for this section

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.

Idea of the limit

One-sided limits

Proving that the limit does not exist

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.

Precise definition of the limit

BONUS! Extra practice problems. :)

Explore how to find the value of combination and composite functions, and understand the restrictions on the domains of these functions.

Introduction to combinations and composites

Limits of combinations

Limits of composites

See how continuity is a natural partner of limits, then study different types of discontinuity.

Introduction to continuity

Point discontinuities

Jump discontinuities

Infinite discontinuities

Endpoint discontinuities

Understand the intermediate value theorem, and how to use it to prove that a function has a root in a particular interval.

Introduction to Intermediate Value Theorem

Intermediate Value Theorem with an interval

Intermediate Value Theorem without an interval

Intermediate value theorem, open interval calculus video example.

Learn multiple techniques for solving basic limit problems.

Introduction to solving limits

Solving with substitution

Solving with factoring

Solving with conjugate method

Solving with conjugate method calculus video example.

Infinite limits and vertical asymptotes

Limits at infinity and horizontal asymptotes

Crazy graphs

Trigonometric limits

Trigonometric limits calculus video example.

Making the function continuous

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

See how squeeze theorem, also called "sandwich theorem", can be used to solve for the value of a limit, when the value would otherwise be unknown.

Introduction to Squeeze Theorem

Squeeze Theorem

Learn how to use the definition to find derivatives before you learn the shortcuts later.

Introduction to definition of the derivative

Definition of the derivative

Discover how these rules make finding derivatives much faster and easier.

Good to know

Know what's good

, what to watch for

, 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

Reviews summary

Mastering calculus 1

This course is a thorough and well-received Calculus 1 course that is suitable for students with pre-calculus knowledge. It covers all of the essential topics of Calculus 1, including limits, derivatives, and applications of derivatives. The course is taught by Krista King, who is an experienced and engaging instructor. She provides clear explanations and helpful examples, and she is quick to respond to student questions. The course materials include video lectures, written notes, practice problems, and quizzes. The video lectures are well-produced and easy to follow, and the written notes are a valuable resource for students who want to review the material or go back and study specific topics. The practice problems and quizzes are a great way for students to test their understanding of the material. The practice problems are challenging but fair, and the quizzes provide immediate feedback so that students can identify areas where they need to improve. Overall, this is a high-quality Calculus 1 course that is well worth the investment. Students who are willing to put in the effort will learn a lot from this course and be well-prepared for Calculus 2.

Covers 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.

"Covers 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."

Once again, just like with Krista King's other courses, I got to enjoy clear explanations, and multiple examples, and discovered an unsuspected passion for math within myself. Highly recommended!

"Once again, just like with Krista King's other courses, I got to enjoy clear explanations, and multiple examples, and discovered an unsuspected passion for math within myself."

"Highly recommended!"

This course was a great review of the concepts and methods taught in basic calculus (through differentiation). The explanations are very clear and easy to understand, reinforced by many worked examples. And the videos do a great job walking step by step through the concepts taught. I thought the course was well worth the time and money.

"This course was a great review of the concepts and methods taught in basic calculus (through differentiation)."

"The explanations are very clear and easy to understand, reinforced by many worked examples."

"And the videos do a great job walking step by step through the concepts taught."

"I thought the course was well worth the time and money."

I have self studied calculus before and I have had tutors that tried to help me but I struggled mightily. I have learn more with understanding with this course than I have with every I have ever tried previously.

"I have self studied calculus before and I have had tutors that tried to help me but I struggled mightily."

"I have learn more with understanding with this course than I have with every I have ever tried previously."

Krista is the best math teacher I've ever had! She makes it super easy to understand material that is quite complicated and intimidating. She breaks it down and provides you with multiple ways of cementing your understanding (quizzes, written notes, practice problems, lecture videos). She has made my Calculus 1 journey enjoyable since I know that when I finish her course, I will become a Calculus 1 master!!!

"Krista is the best math teacher I've ever had!"

"She makes it super easy to understand material that is quite complicated and intimidating."

"She breaks it down and provides you with multiple ways of cementing your understanding (quizzes, written notes, practice problems, lecture videos)."

"She has made my Calculus 1 journey enjoyable since I know that when I finish her course, I will become a Calculus 1 master!!!"

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

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Refreshing your knowledge of limits and continuity will provide a strong foundation for understanding derivatives and their applications.

Browse courses on Limits

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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

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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.

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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

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Watching video tutorials will provide visual and auditory explanations to help you understand related rates problems.

Browse courses on Applications of Derivatives

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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

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Engaging with classmates in online discussions will allow you to ask questions, share insights, and learn from others' perspectives.

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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

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Solving optimization problems will help you apply derivatives in practical situations to find maximum or minimum values.

Browse courses on Applications of Derivatives

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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

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Practice solving complex limit problems to solidify your understanding of limits and their applications.

Browse courses on Limits

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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

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Creating a visual representation of a function and its derivative will help you visualize and understand the relationship between them.

Browse courses on Derivatives

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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

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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

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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.

See salaries and explore the career path for Mathematician

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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

See salaries and explore the career path for Software Engineer

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.

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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.

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