Become a Calculus 2 Master from Udemy

) and an additional 20 workbooks with extra practice problems, to help you test your understanding along the way. Become a Calculus 2 Master is organized into the following sections:

Integrals
Applications of Integrals
Polar & Parametric
Sequences & Series

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' I just finished Calculus 1 and wanted to start learning calculus 2. The instructor gives you quick feedback and is very clear on every example she posts. I highly recommend this course for anyone who wants to learn more about integrals.” - Nick Z.

“This is a superior course. I have taken MOOC Calculus courses now through Ohio State, and MIT (also superior). Krista King is an excellent instructor, with superior knowledge, and nails down precisely what one needs to know, and also provides superior supportive notes.” - Snowcrash

“Krista is saving my butt in my Calc2 class. I always review her videos and do practice problems before my quizzes and exams.” - Nye W.

“Krista's energy and thoroughness make sitting through an explanation simple and motivating. There are loads of examples, with quizzes to check your progress, and detailed explanations on ALL the quiz questions. Plus she answers questions quickly and is very professional. Worth every penny, bought her whole series. It will also help with physics and economics, as she includes relevant explanations and exercises for applications in those topics as well. Got an A in calc 1 online because of her calc 1 course, and now I have gotten an A in calc 2 online as a first time student of it and in a summer semester (shortened. ) Thank god I have her calc 3 course, I know I will need it next semester. ” - Jennifer L.

“I just can't get over how well she teaches her classes. I have now taken all 3 of her Calculus classes and I really do have a strong understanding of calculus concepts. If only more people could teach the way she does. These concepts that seem so hard she has made easy and clear. My favorite part are the quizzes. She has just enough gotcha's to really get you thinking and remembering concepts. I really just cannot say enough good things about this course and the teacher. ” - Morgan G.

“The instructor goes through every little step no matter how minor. It makes learning the material fun. Thank you so much for this wonderful and detailed course. ” - Immanuel W.

“This is the second of three courses I have purchased from Krista and she does an incredible job of breaking down the complicated concepts into easy to understand steps. Her courses are very thorough and include a variety of different methods of instruction. Well thought out course. Thank you Krista. ” - John C.

YOU'

I can't wait for you to get started on mastering calculus 2.

- Krista :)

What's inside

Learning objectives

Integrals, including approximating area, the dreaded fundamental theorem of calculus, and every kind of integration technique
Applications of integrals, including volume of revolution with disks, washers and shells, and all kinds of real world applications

Polar & parametric, including how to sketch polar curves and find the area bounded by polar curves
Sequences & series, including all the convergence tests, and taylor and maclaurin series

Integrals, including approximating area, the dreaded fundamental theorem of calculus, and every kind of integration technique
Applications of integrals, including volume of revolution with disks, washers and shells, and all kinds of real world applications
Polar & parametric, including how to sketch polar curves and find the area bounded by polar curves
Sequences & series, including all the convergence tests, and taylor and maclaurin series

Syllabus

If Calc 2 is hard, no worries. Finding the volume of a 3-D solid object might sound easy at first… but not when you have to use curves and intersecting lines to figure it out.

What we'll learn in this course

How to get the most out of this course

Download the formula sheet

The EVERYTHING download

Learn how to find the area under the curve on an open interval.

Introduction to antiderivatives and indefinite integrals

Antiderivatives and indefinite integrals

Indefinite integrals

Properties of integrals

Find f given f'' calculus video example.

Find f given f''

Find f given f''' calculus video example.

Find f given f'''

Initial value problems

Find f given f'' and initial conditions

BONUS! Extra practice problems. :)

Learn how to find the area under the curve on a closed interval.

Introduction to definite integrals

Definite integrals

Area under or enclosed by the graph

Definite integrals of even and odd functions

Discover the Riemann sum and how we can use it to approximate area under the curve.

Introduction to riemann sums

Finding the sum with summation notation calculus video example.

Summation notation, finding the sum

Expanding the sum with summation notation calculus video example.

Summation notation, expanding

Collapsing the sum with summation notation calculus video example.

Summation notation, collapsing

Riemann sums

Riemann sums, left endpoints

Riemann sums, right endpoints

Riemann sums, midpoints

Explore multiple ways to approximate the area under the curve before you learn how to calculate it exactly later.

Introduction to other approximation methods

Over and underestimation

Limit process to find area on [a,b]

Limit process to find area on [-a,a]

Trapezoidal rule

Course notes for simpson's rule.

Simpson's rule calculus video example.

Simpson's rule

Learn how to find maximum possible error for midpoint, trapezoidal, and simpson's rules.

Introduction to error bounds

Error bounds

Midpoint rule error bound

Trapezoidal rule error bound

Simpson's rule error bound

Discover the single formula in all of calculus that relates the derivative to the integral.

Introduction to fundamental theorem of calculus

Part 1

Part 2

Net change theorem

Start building your integral "tool kit" with the easiest method for simplifying integrals.

Introduction to u-substitution

U-substitution

U-substitution in definite integrals

Add integration by parts to your integral tool kit to use when u-substitution isn't working.

Introduction to integration by parts

Course notes for integration by parts.

Integration by parts calculus video example.

Integration by parts

Good to know

Know what's good

, what to watch for

, and possible dealbreakers

Builds a strong foundation for beginners, making it suitable for those new to Calculus 2

Develops a range of Calculus 2 skills and concepts, strengthening an existing foundation

Offers a series of courses, allowing learners to build upon their Calculus skills and knowledge

Taught by an experienced and well-regarded instructor, known for clear and engaging teaching

Emphasizes real-world applications, making the concepts more relatable and applicable

Provides a variety of practice problems, workbooks, and quizzes to reinforce learning

Reviews summary

Calculus 2 made somewhat clear

According to students, Calculus 2 Made Somewhat Clear excels at explaining complex concepts step-by-step. Students are generally satisfied with the quality of instruction, although some would like to see more videos of complex problem-solving.

Concepts explained clearly.

"the course still getting very well way to explain step by step"

More complex problem-solving examples in video format would improve the course.

"I would like to have videos solving hardest integrals showing the prosses"

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 2 Master with these activities:

Review the basics of integration

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A solid understanding of integration is essential for Calculus 2. This activity will help you refresh your skills and ensure that you are ready for the more advanced topics covered in this course.

Browse courses on Integration

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Review your notes or textbook on the basics of integration.
Work through some practice problems on integration.
Check your answers against the solutions provided.

Review the concepts of sequences and series

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Sequences and series are important topics in Calculus 2. This activity will help you refresh your knowledge of these concepts and ensure that you are ready for the more advanced topics covered in this course.

Browse courses on Sequences

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Review your notes or textbook on the concepts of sequences and series.
Work through some practice problems on sequences and series.
Check your answers against the solutions provided.

Review Stewart's Essential Calculus: Early Transcendentals (2nd Edition)

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Reviewing this popular calculus textbook can help you fill in any gaps in your understanding of the foundational concepts and techniques covered in Calculus 2.

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Read the relevant sections of the textbook.
Take notes on the key concepts and formulas.
Work through the practice problems.
Check your answers against the solutions provided.

Five other activities

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Show all eight activities

Follow Krista King's 'Become a Calculus 2 Master' video tutorials

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These video tutorials provide clear and concise explanations of the concepts covered in Calculus 2, and they can be a valuable resource for reinforcing your understanding and building your skills.

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Watch the video tutorials on the relevant topics.
Take notes on the key concepts and formulas.
Work through the practice problems.
Check your answers against the solutions provided.

Solve practice problems from the textbook and online resources

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Solving practice problems is essential for building your problem-solving skills and deepening your understanding of the concepts covered in Calculus 2.

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Find practice problems from your textbook, online resources, or other sources.
Work through the problems step-by-step.
Check your answers against the solutions provided.
Identify any areas where you need additional practice.

Participate in a study group or online forum

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Discussing the concepts and problems with other students can help you clarify your understanding and identify areas where you need additional support.

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Find a study group or online forum where you can connect with other students taking Calculus 2.
Participate in discussions and ask questions.
Help other students with their questions.

Create a study guide or cheat sheet

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Creating a study guide or cheat sheet can help you organize your notes and identify the key concepts and formulas that you need to know for Calculus 2.

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Review your notes and identify the most important concepts and formulas.
Organize this information into a logical and concise format.
Create a study guide or cheat sheet that you can use to review before exams.

Mentor a struggling student in Calculus 2

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Helping another student understand the concepts of Calculus 2 can reinforce your own understanding and identify areas where you need further review.

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Identify a student who is struggling in Calculus 2.
Offer your help and support.
Review the concepts and problems with the student.
Provide encouragement and motivation.

Career center

Learners who complete Become a Calculus 2 Master will develop knowledge and skills that may be useful to these careers:

Mathematician

Mathematicians often leverage calculus to develop new mathematical theories and solve complex problems. Become a Calculus 2 Master may be useful for a budding Mathematician, as it can help build a foundation in integral calculus, which is essential for understanding and applying mathematical concepts to new discoveries.

See salaries and explore the career path for Mathematician

Quantitative Analyst

Quantitative Analysts often leverage calculus during their work in risk assessment and portfolio management. Become a Calculus 2 Master may be useful for a budding Quantitative Analyst, as it can help build a foundation in integral calculus, which is essential for understanding and applying quantitative models.

See salaries and explore the career path for Quantitative Analyst

Data Scientist

Data Scientists often leverage calculus to analyze data and draw meaningful conclusions. Become a Calculus 2 Master may be useful for a budding Data Scientist, as it can help build a foundation in integral calculus, which is essential for understanding the data and making sound decisions.

See salaries and explore the career path for Data Scientist

Operations Research Analyst

Operations Research Analysts often leverage calculus to optimize processes and improve efficiency. Become a Calculus 2 Master may be useful for a budding Operations Research Analyst, as it can help build a foundation in integral calculus, which is essential for understanding and applying quantitative models to solve business problems.

See salaries and explore the career path for Operations Research Analyst

Actuary

As an Actuary, one must use calculus to calculate probabilities and financial risks. Become a Calculus 2 Master may be useful for a budding Actuary, as it can help build a foundation in integral calculus, which is essential for understanding the financial risks and making sound decisions.

See salaries and explore the career path for Actuary

Financial Analyst

Financial Analysts often leverage calculus during the valuation of stocks and bonds. Become a Calculus 2 Master may be useful for a budding Financial Analyst, as it can help build a foundation in integral calculus, which is essential for understanding financial markets and making sound investment decisions.

See salaries and explore the career path for Financial Analyst

Biostatistician

Biostatisticians often leverage calculus to analyze biological data and draw meaningful conclusions. Become a Calculus 2 Master may be useful for a budding Biostatistician, as it can help build a foundation in integral calculus, which is essential for understanding the data and making sound decisions in the field of biology.

See salaries and explore the career path for Biostatistician

Quantitative Researcher

Quantitative Researchers often leverage calculus to develop and test financial models. Become a Calculus 2 Master may be useful for a budding Quantitative Researcher, as it can help build a foundation in integral calculus, which is essential for understanding and applying quantitative models to financial data.

See salaries and explore the career path for Quantitative Researcher

Data Analyst

Data analysts often leverage calculus to analyze data and draw meaningful conclusions. Become a Calculus 2 Master may be useful for a budding Data Analyst, as it can help build a foundation in integral calculus, which is essential for data analysis and interpreting trends and patterns.

See salaries and explore the career path for Data Analyst

Statistician

Statisticians often leverage calculus to analyze data and draw meaningful conclusions. Become a Calculus 2 Master may be useful for a budding Statistician, as it can help build a foundation in integral calculus, which is essential for understanding the data and making sound decisions.

See salaries and explore the career path for Statistician

Epidemiologist

Epidemiologists often leverage calculus to analyze data and make predictions about the spread of diseases. Become a Calculus 2 Master may be useful for a budding Epidemiologist, as it can help build a foundation in integral calculus, which is essential for understanding the data and making informed decisions about public health.

See salaries and explore the career path for Epidemiologist

Economist

Economists often leverage calculus to analyze economic data and make predictions. Become a Calculus 2 Master may be useful for a budding Economist, as it can help build a foundation in integral calculus, which is essential for understanding economic models and making informed decisions.

See salaries and explore the career path for Economist

Engineer

Engineers often leverage calculus to design and analyze structures and systems. Become a Calculus 2 Master may be useful for a budding Engineer, as it can help build a foundation in integral calculus, which is essential for understanding and applying mathematical concepts to engineering problems.

See salaries and explore the career path for Engineer

Physicist

Physicists often leverage calculus to analyze physical phenomena and make predictions. Become a Calculus 2 Master may be useful for a budding Physicist, as it can help build a foundation in integral calculus, which is essential for understanding and applying physical laws.

See salaries and explore the career path for Physicist

Software Engineer

Software Engineers often leverage calculus to optimize algorithms and improve software performance. Become a Calculus 2 Master may be useful for a budding Software Engineer, as it can help build a foundation in integral calculus, which is essential for understanding and applying mathematical concepts to software development.

See salaries and explore the career path for Software Engineer