Syllabusap Calculus

Posted By admin On 28/12/21

The Fundamental Theorem of Calculus, I and II. Integration by Substitution – Pattern Recognition, Change of Variables for Definite Integrals, Integration of Odd and Even Functions. Trapezoid Approach for finding Area. Total Distance Traveled (TEST 3) 8. Inverse Functions – Derivative of an Inverse Function. Calculus BC is a full-year course in the calculus of functions of a single variable. It includes all topics covered in Calculus AB plus additional topics. Both courses represent college-level mathematics for which most colleges grant advanced placement and credit. HW1. HW2. HW3. HW3a. HW4. HW5. HW6. HW7. HW7a. HW8. HW9: Week One Content: If you haven't registered and would like a small taste of what this online-only course is like, you can access the Week One videos and interactive applets below.

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.

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

Syllabusap

Syllabus For Ap Calculus Bc

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.
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Syllabus Of Ap Calculus