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Natalie Griswold and John Monz

Want to take an AP Calculus class, but aren’t sure you are ready? Want to review some of your precalculus topics before your AP class begins? Want a preview of the big ideas of AP Calculus and math? If you answered “yes” to any of these questions, this math course is for you.

We’ll preview the concepts behind both derivatives and integrals as well as review many of the precalculus topics most relevant to AP Calculus such as: Trigonometric functions, Exponents & Logarithms, Sequences & Series, Limits.

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Want to take an AP Calculus class, but aren’t sure you are ready? Want to review some of your precalculus topics before your AP class begins? Want a preview of the big ideas of AP Calculus and math? If you answered “yes” to any of these questions, this math course is for you.

We’ll preview the concepts behind both derivatives and integrals as well as review many of the precalculus topics most relevant to AP Calculus such as: Trigonometric functions, Exponents & Logarithms, Sequences & Series, Limits.

*Advanced Placement® and AP® are trademarks registered and/or owned by the College Board, which was not involved in the production of, and does not endorse, these offerings.

What you'll learn

  • How to find rates of change
  • How to use areas to turn rates of change into totals
  • Review precalculus topics such as: Trigonometric Functions, Exponents & Logarithms, Sequences & Series, Limits

What's inside

Learning objectives

  • How to find rates of change
  • How to use areas to turn rates of change into totals
  • Review precalculus topics such as: trigonometric functions, exponents & logarithms, sequences & series, limits

Syllabus

Lesson #1: Introduction
Lesson #2: Rates of Change
Lesson #3: Adding up the Changes
Lesson #4: Working with Exponents
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Lesson #5: Review of Trigonometry
Lesson #6a: Limits at Finite Values – Graphical
Lesson #6b: Limits at Finite Values – Numerical
Lesson #6c: Limits at Infinity
Lesson #7a: Sequences and Series
Lesson #7b: The Idea of Convergence
Wrap up
Final Exam
Why Calculus?
Exponents & Logarithms
Using Trigonometry
The Concept of a Limit
Series Basics
Get Ready for AP Calculus

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Provides a gentle introduction to AP Calculus for bright high schoolers
Covers important precalculus topics such as trigonometry, exponents, logarithms, sequences, and series
Taught by experienced educators in the field, Natalie Griswold and John Monz
Offers opportunities to practice finding rates of change and using areas to solve problems
Optional step-by-step guidance and interactive elements can aid in understanding
May need to supplement with additional resources for a more comprehensive preparation for AP Calculus

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Career center

Learners who complete On-Ramp to AP* Calculus will develop knowledge and skills that may be useful to these careers:
Oceanographer
Oceanographers study the oceans. Calculus is a critical tool for oceanographers, as it allows them to analyze and predict the behavior of the ocean currents. This course may be useful for aspiring Oceanographers, as it provides a strong foundation in calculus, as well as a review of precalculus topics such as trigonometry and exponents. By taking this course, you will gain the skills needed to succeed in this challenging and rewarding field.
Materials Scientist
Materials scientists develop new materials with improved properties, such as strength, durability, and conductivity. Calculus is a critical tool for materials scientists, as it allows them to analyze and predict the behavior of materials under load. This course may be useful for aspiring Materials Scientists, as it provides a strong foundation in calculus, as well as a review of precalculus topics such as trigonometry and exponents. By taking this course, you will gain the skills needed to succeed in this challenging and rewarding field.
Chemical Engineer
Chemical engineers design, develop, and operate chemical plants, which produce a wide variety of products, including fuels, plastics, and pharmaceuticals. Calculus is a critical tool for chemical engineers, as it allows them to analyze and predict the behavior of chemical processes. This course may be useful for aspiring Chemical Engineers, as it provides a strong foundation in calculus, as well as a review of precalculus topics such as trigonometry and exponents. By taking this course, you will gain the skills needed to succeed in this challenging and rewarding field.
Biomedical Engineer
Biomedical engineers design, develop, and maintain medical devices and systems. Calculus is a critical tool for biomedical engineers, as it allows them to analyze and predict the behavior of biological systems under load. This course may be useful for aspiring Biomedical Engineers, as it provides a strong foundation in calculus, as well as a review of precalculus topics such as trigonometry and exponents. By taking this course, you will gain the skills needed to succeed in this challenging and rewarding field.
Civil Engineer
Civil engineers design, build, and maintain infrastructure, such as roads, bridges, and buildings. Calculus is a critical tool for civil engineers, as it allows them to analyze and predict the behavior of structures under load. This course may be useful for aspiring Civil Engineers, as it provides a strong foundation in calculus, as well as a review of precalculus topics such as trigonometry and exponents. By taking this course, you will gain the skills needed to succeed in this challenging and rewarding field.
Nuclear Engineer
Nuclear engineers design, develop, and maintain nuclear power plants. Calculus is a critical tool for nuclear engineers, as it allows them to analyze and predict the behavior of nuclear reactors. This course may be useful for aspiring Nuclear Engineers, as it provides a strong foundation in calculus, as well as a review of precalculus topics such as trigonometry and exponents. By taking this course, you will gain the skills needed to succeed in this challenging and rewarding field.
Aerospace Engineer
Aerospace engineers design, develop, test, and maintain aircraft, spacecraft, and other related systems. Calculus is a critical tool for aerospace engineers, as it allows them to analyze and predict the behavior of aircraft and spacecraft in flight. This course may be useful for aspiring Aerospace Engineers, as it provides a strong foundation in calculus, as well as a review of precalculus topics such as trigonometry and exponents. By taking this course, you will gain the skills needed to succeed in this challenging and rewarding field.
Electrical Engineer
Electrical engineers design, develop, and maintain electrical systems, such as power plants, electrical grids, and telecommunications networks. Calculus is a critical tool for electrical engineers, as it allows them to analyze and predict the behavior of electrical systems under load. This course may be useful for aspiring Electrical Engineers, as it provides a strong foundation in calculus, as well as a review of precalculus topics such as trigonometry and exponents. By taking this course, you will gain the skills needed to succeed in this challenging and rewarding field.
Astronomer
Astronomers study the universe beyond our planet. Calculus is a critical tool for astronomers, as it allows them to analyze and predict the behavior of stars, planets, and galaxies. This course may be useful for aspiring Astronomers, as it provides a strong foundation in calculus, as well as a review of precalculus topics such as trigonometry and exponents. By taking this course, you will gain the skills needed to succeed in this challenging and rewarding field.
Environmental Scientist
Environmental scientists study the environment. Calculus is a critical tool for environmental scientists, as it allows them to analyze and predict the behavior of the environment. This course may be useful for aspiring Environmental Scientists, as it provides a strong foundation in calculus, as well as a review of precalculus topics such as trigonometry and exponents. By taking this course, you will gain the skills needed to succeed in this challenging and rewarding field.
Mechanical Engineer
Mechanical engineers design, develop, and maintain mechanical systems, such as engines, turbines, and robots. Calculus is a critical tool for mechanical engineers, as it allows them to analyze and predict the behavior of mechanical systems. This course may be useful for aspiring Mechanical Engineers, as it provides a strong foundation in calculus, as well as a review of precalculus topics such as trigonometry and exponents. By taking this course, you will gain the skills needed to succeed in this challenging and rewarding field.
Physicist
Physicists study the fundamental laws of nature. Calculus is a critical tool for physicists, as it allows them to analyze and predict the behavior of matter and energy. This course may be useful for aspiring Physicists, as it provides a strong foundation in calculus, as well as a review of precalculus topics such as trigonometry and exponents. By taking this course, you will gain the skills needed to succeed in this challenging and rewarding field.
Meteorologist
Meteorologists study the atmosphere. Calculus is a critical tool for meteorologists, as it allows them to analyze and predict the behavior of the weather. This course may be useful for aspiring Meteorologists, as it provides a strong foundation in calculus, as well as a review of precalculus topics such as trigonometry and exponents. By taking this course, you will gain the skills needed to succeed in this challenging and rewarding field.
Geologist
Geologists study the Earth's history and structure. Calculus is a critical tool for geologists, as it allows them to analyze and predict the behavior of the Earth's crust. This course may be useful for aspiring Geologists, as it provides a strong foundation in calculus, as well as a review of precalculus topics such as trigonometry and exponents. By taking this course, you will gain the skills needed to succeed in this challenging and rewarding field.
Software Architect
Software architects are the masterminds behind many of the software systems we use today, from mobile applications to enterprise software. This course may be useful for aspiring Software Architects, as it provides a strong foundation in calculus, which is essential for understanding the mathematical underpinnings of software systems. By taking this course, you will gain the skills needed to design, develop, and maintain complex software systems.

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