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Welcome Calculus students and parents. This course provides students with an introduction to the fundamental concepts of differential and integral calculus. Topics include limits, derivatives, applications of derivatives, integrals, and the Fundamental Theorem of Calculus. Students will develop problem-solving and analytical skills while applying calculus concepts to real-world situations all while preparing themselves for the AP exam.
Technology
Technology
The codes/information for the technology that will be utilized on a daily basis are:
Google Classroom - tiit6cyk
Google Meet - Code is in Google Classroom/Calendar (if needed)
DeltaMath - 2YY2-3EU7
Flipped Math - https://calculus.flippedmath.com/version-1.html https://calculus.flippedmath.com/version-2.html
Additional Online Resources- https://www.khanacademy.org/math/ap-calculus-ab
https://www.khanacademy.org/math/calculus-all-old/ap-calc-topic
https://www.kaptest.com/study/ap-calculus/ap-calculus-practice-questions/
http://webspace.ship.edu/msrenault/GeoGebraCalculus/GeoGebraCalculusApplets.html
Some of the topics covered for the course throughout the year are:
Projected Material Covered in Calculus
Projected Material Covered in Calculus
Unit 1: Function limits and continuity
Unit 2: Derivative fundamentals
Unit 3: Derivatives formulas
Unit 4: Chain Rule
Unit 5: Implicit differentiation
Unit 6: Rolle’s Theorem and the Mean Value Theorem; First and second derivative
Tests; Critical values
Unit 7: Optimization (maximizing & minimizing)
Unit 8: Derivatives of inverse, exponential, and logarithmic functions
Unit 9: Antiderivatives (Indefinite integrals)
Unit 10: Area under a curve: Using geometry to compute definite integrals
Unit 11: Riemann sums
Unit 12: Fundamental Theorem of Calculus (FTC)
Unit 13: Differentials and Newton’s method
Unit 14: Integration by algebraic substitution (u-substitution
Unit 15: Integration involving logarithms and exponentials
Unit 16: Applications of integration (plane areas, volumes of solids)
Unit 17: Differential equations
Unit 18: Integrals that produce inverse sine and tangent
Unit 19: Arc length, surface area, physics applications of integration
Unit 20: Additional integration methods
Below you can find what we are doing each week:
Lesson Plans
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