Syllabusap Calculus

Please note that is just a sample syllabus, actual syllabi for the various sections of the course will likely be different each semester. Different instructors may choose somewhat different material. The number of class sessions varies between fall and spring semesters, Monday-Wednesday and Tuesday-Thursday classes.

Syllabusap Calculus

AP Calculus AB Syllabus Course Description AP® Calculus AB is a yearlong, college‐level course designed to prepare students for the Advanced Placement (AP) Calculus AB exam. Major topics of study in this full‐year course include a review of pre‐. AP Calculus AB 2019-2020 Syllabus (DOCX 103 KB) NEED HELP DOWNLOADING: docx file: You need the Microsoft Word program, the Microsoft Word app, or a program that can import Word files in order to view this file.

All section numbers refer to James Stewart, Calculus: Early Transcendentals, 8th Edition.

ClassMaterialSections
1Functions. New functions from old.§1.1, 1.2, 1.3
2Trigonometric functions.
3Exponential function, inverse functions, logarithms.§1.4, 1.5
4Derivative: motivation. Informal definition of limit.§2.1, 2.2
5Limit laws. Squeeze theorem.§2.3
6Continuity, asymptotes.§2.5, 2.6
7Definition of derivative. Derivative as a function.§2.7, 2.8
8Review.
9Midterm 1.
10Derivative of polynomials. Product and quotient rules.§3.1, 3.2
11Derivatives of trig functions.§3.3
12Chain rule, implicit differentiation.§3.4, 3.5
13Derivative of the logarithm. Applications.§3.6, 3.7, 3.8
14Related rates, linear approximation.§3.9, 3.10
15Maximization. Mean value theorem.§4.1, 4.2
16Second derivative, convexity, second derivative test. L’Hospital’s rule.§4.3, 4.4
17L’Hospital’s rule, more graph sketching.§4.4, 4.5
18Optimization problems.§4.7
19Newton’s method.§4.8
20Antiderivatives.§4.9
21Review.
22Midterm 2.
23Definite integral: definition.§5.1
24The “area so far” function.§5.2
25The fundamental theorem of calculus. Evaluating definite integrals via the “net change theorem”§5.3, 5.4
26Substitution rule.§5.5
27Areas between curves, average values.§6.1, 6.5
28Review.

Syllabus For Ap Calculus Bc

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Syllabus For Ap Calculus Ab