AP/Advanced Calculus Part 3

Course Description:

AP/Advanced Calculus Part 3 prepares students for the BC part of the AP Calculus exam and meets the Advanced Placement criteria required by the College Board. AP/Advanced Calculus Part 3 builds on the concepts learned in AP/Advanced Calculus Parts 1 and 2. Students will study limits in indeterminate forms, L’Hôpital’s Rule, growth rates of functions, and indefinite integrals. Also, students will study a variety of sequences and series, polynomials of infinite degree, and their derivatives and integrals. Taylor series and MacClaurin series, as well as tests for convergence and divergence, will be covered. The course closes with parametric functions, vectors, and polar coordinates. It is recommended that students successfully complete AP/Advanced Calculus Parts 1 and 2 or equivalent course work before enrolling in this course.

Course Details:

Course Title (District): AP/Advanced Calculus Part 3
Course Title (NCES SCED) : AP Calculus BC
Course Provider : Genesee ISD
Content Provided By : Lincoln Learning Solutions
Online Instructor Provided By : Lincoln Learning Solutions
Standards Addressed : Michigan Merit Curriculum, CollegeBoard
Academic Terms : Open Entry / Open Exit, Semester
NCES SCED Code :
Subject Area : Mathematics
Course Identifier : AP Calculus BC
Course Level : High School (Secondary)
Available Credit : 0.5
Sequence : 3 of 3

How To Enroll:

Enrollment Website : https://www.gennet.us
Email : [email protected]
Phone : 810.591.4401

Students and Parents: It is important to work closely with your local school counselor or registrar to follow the school's enrollment procedures. By clicking the "Start Registration Request" button below, you will be able to notify the school of your interest in registering for the online course. However, it is the responsibility of the district or school to review the registration request and approve or deny the request. Please make a note to follow up with your school after submitting a registration request.

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Additional Course Information:

Additional Cost: $0.0

Additional Cost Description: The majority of our courses come with an online textbook, however, physical textbooks are available at an additional cost.

Unit 1: Essential Content and Skills Evaluate integrals by parts and by tabular integration. Apply concepts of local linearity by using Euler’s Method. Integrate with partial fractions. Determine whether a sequence diverges or converges. Examine L’Hôpital’s Rule to evaluate limits. Evaluate integrals with infinite discontinuities. Determine if an improper integral converges or diverges. Unit 2: Essential Content and Skills Evaluate integrals with infinite discontinuities. Recognize and/or represent a geometric series, a power series, a harmonic series, a telescoping series, and a p-series. Determine convergence by applying the nth-term test. Apply the sum, difference, and product properties to determine convergence. Determine the convergence or divergence of a series by using the Direct Comparison Test, Limit Comparison Test, Alternating Series Test, Root Test, and Ratio Test. Estimate the sum of an alternating series given a maximum error value. Define a convergent series as absolute or conditional. Unit 3: Essential Content and Skills Construct a Taylor polynomial and a Maclaurin polynomial. Calculate the truncation error for a geometric series. Determine the convergence of a Taylor series. Calculate the Lagrange form of the remainder for a Taylor series. Compute the first and second derivatives of a parametric equation. Establish the length of a smooth curve and curves containing vertical tangents, corners, and cusps. Determine the arc length of parameterized curves and cycloids. Unit 4: Essential Content and Skills Discover the magnitude of a vector, the direction angle, and the component form of a vector. Find the velocity, acceleration, motion, and speed of vectors when given a position vector. Calculate the displacement and distance traveled by a particle. Convert between polar and rectangular coordinates. Identify types of polar graphs from an equation, and create polar graphs. Find the slope of a polar curve at a given point. Calculate the area inside a polar curve and between polar curves.

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The goals and objectives clearly state what the participants will know or be able to do at the end of the course. The goals and objectives are measurable in multiple ways. Fully Met
The course content and assignments are aligned with the state’s content standards, Common Core curriculum, or other accepted content standards set for Advanced Placement® courses, technology, computer science, or other courses whose content is not included in the state standards. Fully Met
The course content and assignments are of sufficient rigor, depth and breadth to teach the standards being addressed. Fully Met
Information literacy and communication skills are incorporated and taught as an integral part of the curriculum. Fully Met
Multiple learning resources and materials to increase student success are available to students before the course begins. Fully Met
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Clear, complete course overview and syllabus are included in the course. Fully Met
Course requirements are consistent with course goals, are representative of the scope of the course and are clearly stated. Fully Met
Information is provided to students, parents and mentors on how to communicate with the online instructor and course provider. Fully Met
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The course reflects multi-cultural education, and the content is accurate, current and free of bias or advertising. Fully Met
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Online instructor resources and notes are included. Fully Met
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Readability levels, written language assignments and mathematical requirements are appropriate for the course content and grade-level expectations. Fully Met
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The course design provides opportunities for appropriate instructor-student interaction, including opportunities for timely and frequent feedback about student progress. Fully Met
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Students are offered an orientation for taking an online course before starting the coursework. Fully Met

Review Conducted By:

Unit 1: Essential Content and Skills

Evaluate integrals by parts and by tabular integration.
Apply concepts of local linearity by using Euler’s Method.
Integrate with partial fractions.
Determine whether a sequence diverges or converges.
Examine L’Hôpital’s Rule to evaluate limits.
Evaluate integrals with infinite discontinuities.
Determine if an improper integral converges or diverges.
Unit 2: Essential Content and Skills

Evaluate integrals with infinite discontinuities.
Recognize and/or represent a geometric series, a power series, a harmonic series, a telescoping series, and a p-series.
Determine convergence by applying the nth-term test.
Apply the sum, difference, and product properties to determine convergence.
Determine the convergence or divergence of a series by using the Direct Comparison Test, Limit Comparison Test, Alternating Series Test, Root Test, and Ratio Test.
Estimate the sum of an alternating series given a maximum error value.
Define a convergent series as absolute or conditional.
Unit 3: Essential Content and Skills

Construct a Taylor polynomial and a Maclaurin polynomial.
Calculate the truncation error for a geometric series.
Determine the convergence of a Taylor series.
Calculate the Lagrange form of the remainder for a Taylor series.
Compute the first and second derivatives of a parametric equation.
Establish the length of a smooth curve and curves containing vertical tangents, corners, and cusps.
Determine the arc length of parameterized curves and cycloids.
Unit 4: Essential Content and Skills

Discover the magnitude of a vector, the direction angle, and the component form of a vector.
Find the velocity, acceleration, motion, and speed of vectors when given a position vector.
Calculate the displacement and distance traveled by a particle.
Convert between polar and rectangular coordinates.
Identify types of polar graphs from an equation, and create polar graphs.
Find the slope of a polar curve at a given point.
Calculate the area inside a polar curve and between polar curves.
Term Type Enrollment Opens Enrollment Ends Random Draw Date Enrollment Drop Date Course Starts Course Ends # of Seats Course Fee Potential Additional Costs
Open Entry / Open Exit 07/01/2023 06/30/2024 100 $150 $0
Drop Policy Completion Policy Term Type Enrollment Opens Enrollment Ends
Full refund minus $25 activation fee within 30 days following course enrollment. Open Entry / Open Exit 07/01/2023 06/30/2024
Highly qualified teachers provide students with quality feedback to expand and support content understanding. Students can also utilize email, Teacher Office Hours, Announcements, and Discussion Boards to contact and interact with their teachers.
School Year Enrollment Count Pass Count Completion Rate Notes
19-20 0 0 0.0%
14-15 0 0 0.0% None
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