SYLLABUS AP Calculus BC, 2012 - 2013


Course:
AP Calculus BC
Instructor:
Michael W. Bermel
email: mbermel@mhrd.k12.nj.us
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
Assessment:

Quarter grades are based on the overall total from the following.

Tests (3/4 @ 100 points each) : 3/400 points
Projects and Alternate Assessments 100 points
Course Content:

Derivatives: Theory, Techniques, and Applications

Definite Integrals: Theory, Techniques, and Applications

Antiderivatives: Theory, Techniques and Applications

Improper Integrals: Theory, Techniques, and Applications

Sequences and Series: Theory, Techniques, and Applications

Year Outline:

Quarter1 (4 Exams and 1 Alt. Assignment)
Unit Q101:
Derivative: Theory, Definition, Value and Function
Unit Q102: Derivative: Techniques
Unit Q103: Deriviative: Implicit and Related Rates Applications
Unit Q104: Derivative: Inverse Trigonometric and Transcendentals

Quarter2 (4 Exams and 1 Alt. Assignment)
Unit Q201 : Derivative: Applications
Unit Q202: Antiderivative: Elementary Techniques
Unit Q203: Definite Intergal: Evaluation, Application
Unit Q204: Definite Integral: Application - Area, Volume, Length

Quarter3
(3 Exams and 1 Alt. Assignment)

Unit Q301: Antiderivative: Additional Techniques
Unit Q302: Antiderivative: Applications and Differential Equations
Unit Q303: Improper Integral: Evaluation and L'Hospital's Rule

Quarter4 (3 Exams and 1 Alt. Assignment)
Unit Q401: Sequences and Series: Concept and Convergence Tests
Unit Q402: Sequences and Series: Maclauren and Taylor Series
Unit Q403: Paramentric, Vector, and Polar Calculus