Magnet Analysis 1

This is the magnet version of calculus.  While not limited to the AP curriculum, students will be prepared to sit for the AP BC Calculus exam after successfully completing this course.

Boiled down to one sentence, calculus is simply the study of change. But what makes calculus so powerful is the elegant concept of limits that drives it at its core. By taking everything you've learned in math so far and mixing it up with the magic of limits, a new world of theoretical and applicable results opens up. Soon after covering the basics of derivatives and integrals, you'll be able to chug away with "The Limit Machine" on some of the fundamental concepts from physics to economics. Plus, in the Magnet we call this course Analysis because it covers a lot more information than a normal high-school calculus course.

The delta-epsilon definition of the limit of a function is examined and applied to develop the ideas of differentiation and integration. All the non-vector objectives of the MCPS AP calculus curriculum are studied with a greater degree of rigor and sophistication. Students study infinite series, differential equations, and the analysis of the polar plane. Students apply this knowledge to solve problems in the sciences and economics. Students take the AP Calculus BC Exam after completing this course.

Magnet Analysis Unit Outline

Semester 1

Unit 1: Limits and Continuity of Functions

Unit 2: The Derivative

Unit 3: Applications of the Derivative

Unit 4: The Integral

Unit 5: Applications of the Integral

Semester 2

Unit 5: Applications of the Integral (continued)

Unit 6: Techniques of Integration

Unit 7: Infinite Series

Unit 8: Differential Equations

Unit 9: Polar Coordinates