Preparing for the AP Calculus AB Exam – Part 2: Integrals from edX

Preparing for the AP Calculus AB exam requires a deep understanding of many different topics in calculus as well as an understanding of the AP exam and the types of questions it asks. This course is Part 1 of our XSeries: AP Calculus AB and it is designed to prepare you for the AP exam.

In Part 2, you will use and apply the meaning and interpretations of derivatives from Part 1 to the integral, antiderivatives and differential equations. You will learn some applications of integrals including finding volumes of solids and solids of revolution, volumes with known cross sections and applications to Velocity-Time graphs. We will close with an introduction to differential equations and see how they are used.

As you work through this course, you will find lecture videos taught by expert AP calculus teachers, practice multiple choice questions and free response questions that are similar to what you will encounter on the AP exam and tutorial videos that show you step-by-step how to solve problems. By the end of the course, you should be ready to take on the AP exam!

What you'll learn

Integrals
Applications of Integrals
Differential Equations and Slope Fields
Preparation for the AP Calculus AB Exam

What's inside

Learning objectives

Integrals
Applications of integrals

Differential equations and slope fields
Preparation for the ap calculus ab exam

Integrals
Applications of integrals
Differential equations and slope fields
Preparation for the ap calculus ab exam

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This course prepares learners for the AP Calculus AB exam, making it highly relevant in an academic setting

Taught by Tracy Jensen, who is an expert AP calculus teacher

Develops knowledge and skills core for success on the AP Calculus AB exam

Builds on learners' knowledge of derivatives from Part 1 and applies them to integrals

Introduces learners to differential equations and their applications

Requires learners to come in with extensive understanding of calculus concepts, which may be a barrier for some

Career center

Learners who complete Preparing for the AP Calculus AB Exam – Part 2: Integrals will develop knowledge and skills that may be useful to these careers:

Actuary

Actuaries use mathematical and statistical techniques to assess risk and uncertainty. They work in a variety of industries, including insurance, finance, and healthcare. Because actuaries use models to predict future events, having a strong foundation in advanced mathematics, including calculus, is essential. This course in Calculus AB provides such a foundation, especially with its focus on integrals, differential equations, and applications of integrals. Furthermore, the practice questions and step-by-step tutorial videos can help build critical problem-solving skills that are crucial for actuaries.

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Data Scientist

Data Scientists use data to solve business problems. They work in a variety of industries, including technology, finance, and healthcare. Data Scientists must master a variety of mathematical and statistical techniques, including calculus. This course provides a solid foundation in the fundamental concepts of calculus, including integrals, derivatives, and differential equations. These concepts are essential for understanding the data and developing the models that Data Scientists use to solve business problems.

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Financial Analyst

Financial Analysts use financial data to make investment recommendations. They work in a variety of industries, including banking, investment management, and insurance. A strong understanding of mathematics, including calculus, is essential for Financial Analysts. This course in Calculus AB provides a solid foundation in the fundamental concepts of calculus, including integrals, derivatives, and differential equations. These concepts are essential for understanding the financial data and developing the models that Financial Analysts use to make investment recommendations.

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Operations Research Analyst

Operations Research Analysts use mathematical and analytical techniques to solve complex problems in a variety of industries, including manufacturing, transportation, and healthcare. Calculus plays a significant role in the work of Operations Research Analysts, and a strong foundation in calculus is essential for developing and applying the models and techniques used in this field. This course in Calculus AB can provide that foundation, as it covers fundamental concepts such as integrals, differential equations, and applications of integrals.

See salaries and explore the career path for Operations Research Analyst

Quantitative Analyst

Quantitative Analysts, or "quants," are essential to the financial industry. They play a key role in developing and implementing mathematical models that are used to make investment decisions. This course in Calculus AB can be useful for those looking into a career as a Quant because it provides a solid understanding of the fundamental concepts of calculus, including integrals, derivatives, and differential equations. These concepts are essential for developing and implementing the mathematical models used in the financial industry.

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Market Researcher

Market Researchers collect and analyze data to understand consumer behavior. They work in a variety of industries, including marketing, advertising, and product development. Market Researchers must master a variety of mathematical and statistical techniques, including calculus. This course in Calculus AB provides a solid foundation in the fundamental concepts of calculus, including integrals, derivatives, and differential equations. These concepts are essential for understanding the data and developing the models that Market Researchers use to understand consumer behavior.

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Economist

Economists study the production, distribution, and consumption of goods and services. They work in a variety of industries, including government, academia, and business. Many Economists use calculus to develop and apply models that help them understand the economy. This course in Calculus AB can provide a solid foundation in the fundamental concepts of calculus, including integrals, derivatives, and differential equations. These concepts are essential for understanding the models that Economists use to study the economy.

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Statistician

Statisticians collect, analyze, and interpret data. They work in a variety of industries, including government, academia, and healthcare. Because statisticians must master a variety of mathematical and statistical techniques, including calculus, this course in Calculus AB may be beneficial. The course covers fundamental concepts such as integrals, differential equations, and applications of integrals, which are relevant to the mathematical foundations of statistics.

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Operations Manager

Operations Managers plan and oversee the production of goods and services. They work in a variety of industries, including manufacturing, transportation, and healthcare. Operations Managers often use mathematical and analytical techniques to improve efficiency and productivity. This course in Calculus AB can provide a solid foundation in the fundamental concepts of calculus, including integrals, derivatives, and differential equations. These concepts are essential for understanding the mathematical and analytical techniques used by Operations Managers.

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Software Engineer

Software Engineers design, develop, and maintain software. They work in a variety of industries, including technology, finance, and healthcare. Because Software Engineers must have a strong understanding of the mathematical foundations of computer science, they may find this course in Calculus AB to be beneficial. The course covers fundamental concepts such as integrals, differential equations, and applications of integrals, which are relevant to the mathematical foundations of computer science.

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Financial Advisor

Financial Advisors help clients make informed financial decisions. They work in a variety of industries, including banking, investment management, and insurance. Financial Advisors often use mathematical and analytical techniques to help clients achieve their financial goals. This course in Calculus AB can provide a solid foundation in the fundamental concepts of calculus, including integrals, derivatives, and differential equations. These concepts are essential for understanding the financial data and models that Financial Advisors use to make recommendations.

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Business Analyst

Business Analysts use data to solve business problems. They work in a variety of industries, including technology, finance, and healthcare. Because Business Analysts use models to analyze data and solve problems, they may find this course in Calculus AB to be beneficial. The course covers fundamental concepts such as integrals, differential equations, and applications of integrals, which are relevant to the models used in business analysis.

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Consultant

Consultants help organizations improve their performance. They work in a variety of industries, including management consulting, IT consulting, and financial consulting. Consultants often use mathematical and analytical techniques to help organizations solve problems and achieve their goals. This course in Calculus AB can provide a solid foundation in the fundamental concepts of calculus, including integrals, derivatives, and differential equations. These concepts are essential for understanding the mathematical and analytical techniques used by Consultants.

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Professor

Professors teach and conduct research at colleges and universities. They must be experts in their field and be able to effectively communicate their knowledge to students. This course in Calculus AB can provide a solid foundation in the fundamental concepts of calculus, including integrals, derivatives, and differential equations. These concepts are essential for understanding the advanced mathematics that is taught and researched at the college and university level.

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Teacher

Teachers educate students at all levels, from preschool to college. They work in a variety of settings, including public schools, private schools, and universities. Teachers must master a variety of subjects, including mathematics. This course in Calculus AB can provide a solid foundation in the fundamental concepts of calculus, including integrals, derivatives, and differential equations. These concepts are essential for teaching mathematics at the high school and college level.

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Preparing for the AP Calculus AB Exam – Part 2

Integrals

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