SYLLABUS AP Calculus AB, 2020 - 2021


Course:
AP Calculus AB
Instructor:
Michael W. Bermel
email: mbermel@mhrd.org
web: mrbermel.com

Materials:
Text: Course Text: Calculus; Graphical, Numerical, Algebraic Third Edition
Finney, Demana, Waits, and Kennedy (2007) Pearson Prentice Hall
Calculator: TI 89 Titanium
Assessment:
Quarter 1 - 3: Quarter grades are based on the exam average + additional percentage points added to the overall quarter average from alternate assessments.

Quarter 4: Quarter grade is based on the overall total points from one exam +7 review assessments + two post AP quests.

Course Content:
Derivatives: Theory, Techniques, and Applications

Definite Integrals: Theory, Techniques, and Applications

Antiderivatives: Theory, Techniques and Applications

Year Outline:

Quarter1 (4 Exams and 2 Alt. Assignments)
Unit Q101:
Functions: Graphing
Unit Q102: Limits and Continuity: Review and Additional Techniques
Unit Q103: Derivative: Theory, Definition, Value and Function
Unit Q104:Derivative: Techniques

Quarter2 (4 Exams and 1 Alt. Assignment)
Unit Q201 : Deriviative: Implicit and Related Rates Applications
Unit Q202: Derivative: Inverse Trigonometric and Transcendentals
Unit Q203: Derivative: Tests for Extrema
Unit Q204: Derivative: Applications Combined (Optimization)

Quarter3
(4 Exams and 1 Alt. Assignment)

Unit Q301: Antiderivative: Elementary Techniques
Unit Q302: Antiderivative: Differential Equations and Modeling
Unit Q303:Definite Integral: FTC2 - Evaluation and Applications
Unit Q304: Definite Integral: Approx Methods and FTC1 Applications

Quarter4 (1 Exam, 7 Review Assessments, and 2 Post AP Quests)
Unit Q401: Removed (Content now in Q304)
Unit Q402: Definite Integral: Applications - Area, Volume, Length
Unit Q403: Review Assessments
Unit Q501 POST AP: Additional Integration Techniques (QUEST)
Unit Q502 POST AP: Additional Topics (QUEST)