AP Calculus Course Information

• AP Calculus Course Description (.pdf/2.3MB) 
• AP Calculus Teacher's Guide (.pdf/1.2MB)
• AP Calculus Development Committee
• AP Calculus BC Course Perspective

AP Course Audit Information

• Syllabus Development Guide, Sample Syllabi and more

Exam Information and Resources

• Multiple Choice Section Scoring Change 
• AP Calculus BC Exam Information
• Free AP Calculus Practice Exam
• AP Calculus BC Exam Tips

Classroom Instruction and Resources

Special Focus Materials

• Infinite Series (.pdf/1.2MB) 
• Approximation (.pdf/1.2MB)
• The Fundamental Theorem of Calculus (.pdf/2.2MB)
• Differential Equations (.pdf/663KB)

Curriculum Modules

• Extrema (.pdf/3.0MB)
• Vectors (.pdf/2.6MB) 
• Motion (.pdf/2.8MB)
• Reasoning from Tabular Data (.pdf/1.8MB)
• Fundamental Theorem of Calculus (.pdf/2.6MB)
• Functions Defined by Integrals (.pdf/792KB)

Lesson Plans and Teaching Strategies

• A Sampler of Visual Proofs in First-year Calculus (.pdf/201KB)
• Teaching Tips for AP Calculus
• Tips for Assessment: AP Calculus
• Try This! Calculus Teaching Tips
• Beginning the Year with Local Linearity
• Weakening the Hypotheses of the Mean Value Theorem
• Exploring the FTC from Numerical and Graphical Points of View with the TI-89 (.pdf/215KB)
• Seeing Is Believing
• AP Calculus Featured Question
• Why We Use Theorem in Calculus
• Frozen in Time

Differential Equations

• Calculus at the Battle of Trafalgar
• The Domain of Solutions to Differential Equations (.pdf/257kb)
• Don't Forget the Differential Equation: Finishing 2005 BC4 (.pdf/219kb)
• AP Calculus: Slope Fields

Using Calculators

• AP Exam Electronic Study Cards
• Lies My Calculator Told Me

Course Content - Related Articles

• The Immortal L'Hospital (.pdf/180KB)
• A Calculus Student Reads the Newspaper (.pdf/305KB)
• Residue of Calculus: Learning That Lasts
• The National Curve Bank Project: A MATH Archive
• Teach AP Statistics Next Year!
• Lesson Study: A PCMI Experience
• Do Cubes and Squares Have the Same Properties As Spheres and Circles?
• The Mathematical Puzzles of Benjamin Banneker
• Women and Mathematics: Stereotypes, Identity, and Achievement
• Appreciating Mathematics: Math Is Good for Something, in Fact Many Things
• Mathematics at the School-to-College Transition
• Milestones for Women in Science
• Teaching with Einstein
• AP Calculus for a New Century

History of Calculus

• Calculus Before Newton and Leibniz: Part I
• Calculus Before Newton and Leibniz: Part II
• Calculus Before Newton and Leibniz: Part III
• One Hundred and Fifty Years of Teaching Calculus
• Women's History: Women in Mathematics

Pre-AP Strategies

• Adapting AP Mathematics Questions As a Pre-AP Strategy
• A Year in the Life of an AP Vertical Team for Mathematics
• A Year in the Life of an AP Vertical Team for Mathematics, Part II

Web Guides

• AP Calculus Web Guide
• National Council of Teachers of Mathematics
• Mathematical Association of America

Reviews of Teaching Resources

There are currently more than 250 reviews of Calculus resources, including textbooks, Web sites, software, and more, in the Teachers' Resources area. Each review describes the resource and suggests ways it might be used in the classroom.

Teacher Profiles

• Yvette Beck: A Calculus Family
• Dewey Gottlieb: Award-Winning Achievement
• Julian Dias: Extraordinary Dedication

Electronic Discussion Group

Communicate via email with other members of the AP Central community by joining the electronic discussion group (EDG) for the course(s) you teach. The search option provides the means to access past messages from the electronic discussion group archives on a particular topic of interest to you.

• AP Calculus EDG
• Registration for Electronic Discussion Groups

College Board Store

• Products for AP Calculus   

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