# Resources (Senior Math)

​Resources

Pre-Calculus 11

Martensmath explains each section of Pre-Calculus 11 using videos.

Mathjohnson offers an alternative video-based explanation of each section of Pre-Calculus 11

Khan Academy has many videos that explain the basic concepts of Pre-Calculus 11. Both videos and text are used to explain each concept.

IXL splits the Pre-Calculus 11 curriculum into many small topics, and gives multiple choice questions for each.

Pre-Calculus 12

Mathjohnson explains each section of Pre-Calculus 12 using videos.

Khan Academy has many videos that explain the basic concepts of Pre-Calculus 12. Both videos and text are used to explain each concept.

This website provides practice questions from exams prior to 2016.

IXL splits the Pre-Calculus 11 curriculum into many small topics, and gives multiple choice questions for each.

AP Calculus AB

The College Board website includes many practice questions, which are derived from previous examinations. The website includes free response questions from real AP exams that date back to 2002.

The first year calculus notes from Caltech are both thorough and clear, providing a rigorous approach to calculus. The chapter "Logical Background" must be read beforehand in order to understand any of the other concepts described in these notes.

AP Calculus 1988 and 1998 Exam (Multiple Choice + Long Answer + Answer Key)
Although quite old, these exams have many challenging questions that can be useful for practice.

This website includes videos, links, and practice problems for AP Calculus AB.

Although rather basic, Khan Academy explains many of the concepts of calculus. This resource may only be helpful for those who are struggling in class.

This website sorts out over 30 years of free response questions from real AP exams by topic, making it particularly useful for test preparation.

This website sorts out multiple choice questions starting from the mid '90s. This should be used in conjunction with Source 6 for test preparation.

Wolfram Alpha is able to solve nearly any definite integral, as well as most indefinite integrals. This source should only be used if you are stuck on a particular question, or want to see if there are any real solutions to a given problem.

The calculus lecture notes from MIT are much simpler than its Caltech counterpart. This should be read prior to reading the Caltech notes. Moreover, the notes include "real world applications" of calculus-based concepts, which can be rather useful if word problems seem unclear.

The explanations in the Calculus I (Differential Calculus) and Calculus II (Integral Calculus) are relevant to the AP Calculus course.

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