Calculus AB

Classroom Teacher:  Sean Welsh

McGovern Master Teacher: Algebra 1
Classroom Teacher: AP® Calculus AB

Sean Welsh

MA, James Madison University; BA, Virginia Tech

Sean Welsh earned his Bachelor of Arts from Virginia Tech and his Master’s in Education from James Madison University. He has fifteen years of experience teaching a variety of high school mathematics courses, including Algebra 1, Geometry, Algebra 2, Precalculus, Math Analysis, and Calculus BC. He has taught Calculus in various forms and venues for the last eight years.

Sean has coached golf and basketball at the high school level and also served for several years as a Fellowship of Christian Athletes huddle leader. He currently resides in Loudoun County, Virginia, with his wife and three children.

In addition to teaching AP® Calculus AB for the Academy, Sean is the Course Developer and Master Teacher for the Algebra 1 course. This is his second year teaching for the Academy.

Classroom Teacher:  Newton Quan

Newton QuanClassroom Teacher

Newton Quan

BS, University of California, Irvine

Newton Quan earned his BS in Applied Physics from UC Irvine. In order to pursue a career in teaching, he received his California Teaching Credential from CSU San Marcos and renewed it at UC San Diego.

Newton has been teaching and tutoring for the past 10 years, beginning at the Army and Navy Academy in Carlsbad and then moving to Cathedral Catholic High School in San Diego. His teaching/tutoring career has included Physics, AP Physics, Algebra II, Geometry, Pre-Calculus, and AP Calculus. He is passionate about teaching math in a way that is fun (a play on the friction equation, F = uN) and helping students discover its relevance in the real world.

In addition to teaching AP courses, he has been a ETS Reader for the AP Physics exam for the past three years. When not in the classroom, he enjoys coaching football, soccer, and lacrosse and leading campus Bible studies.

Duration: Yearlong course offered in fall/spring (32 weeks).
Suggested High School Credit Value: 1 credit.

Description: In AP® Calculus AB, students explore the wonder of creation through mathematics. The course stresses both conceptual understanding and fluency in mathematical procedures. Students are challenged not only to get the right results but also to be able to justify their conclusions.

AP® Calculus AB — Live Online Class Session Schedule, 2016–17

Class Section

Weekly Meeting Time


Section 1
Mondays, 4:30–5:30 p.m. Eastern Mr. Sean Welsh
Section 2
Tuesdays, 7:00–8:30 p.m. Eastern Mr. Newton Quan
Note: Additional class times may be added to the schedule later in the registration period. If you have questions, please call 540-338-8290 or email

Frequently Asked Questions 
about AP® Calculus AB

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  • What topics will I learn about in Calculus AB?

    This course stresses the dual goals of conceptual understanding of calculus and fluency in the procedures that accompany the understanding of calculus concepts. The following major ideas will be introduced during the year: limits, derivatives, and integrals of polynomial, rational, exponential, and trigonometric functions and their inverses. Students will develop the skills necessary to apply calculus in solving a variety of practical problems. They will discover the importance of calculus to modern science and technology, and will learn to apply elementary calculus to the definition and solution of physical problems. Instruction is integrated with a biblical worldview to help students explore and discover God’s purpose in creating the beauty and precision of the mathematical sciences. The purpose of this course is to prepare students to take the Advanced Placement® Calculus AB examination given each spring, for which placement and/or credit may be awarded at the college level if a qualifying score is obtained. Content of this course corresponds to the College Board’s guidelines for Calculus AB. Course goals include:

    • working with functions represented in a variety of ways—graphically, numerically, analytically, or verbally—and understanding the connections among these representations.
    • understanding the meaning of the derivative in terms of a rate of change and local linear approximation, and using derivatives to solve a variety of problems.
    • understanding the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change, and using integrals to solve a variety of problems.
    • understanding the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus.
    • communicating mathematics both orally and in well-written sentences and to explain solutions to problems.
    • modeling a written description of a physical situation with a function, a differential equation, or an integral.
    • using technology to help solve problems, experiment, interpret results, and verify conclusions.
    • determining the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement.
    • developing an appreciation for calculus as a coherent body of knowledge and as a beautifully elegant, yet eminently practical aspect of God’s creation.

    Instruction will be given primarily through pre-recorded lectures. Reinforcement will take place through assigned practice, as well as a variety of opportunities for assistance and feedback, including weekly online class discussions.

  • Am I ready to take Calculus AB?

    This is a rigorous, college-level course. HSLDA Online Academy recommends that students have a strong background in mathematics before enrolling in AP® Calculus AB, preferably having completed courses in Algebra II and Precalculus. In particular, students will need to understand the notion of functions and be familiar with trigonometric functions. To ensure that you have the math skills you will need, please download and take the following Calculus Pre-Test before registering. Then, download the Answer Key and use your score on the test to assess your readiness for the course.

    Please visit the College Board page about AP® Calculus AB for a detailed list of topics students should be familiar with prior to taking the course and for more information about the material and skills students will study in the course and will need to master for the AP® exam in this subject.

    Still have questions about whether you are ready for an AP® course? Please visit our Academic Readiness page for more information.

  • What if I have a schedule conflict with listed Calculus AB class times?

    All live class sessions are recorded for later viewing. While it is recommended that students attend each live class session, students can make arrangements with their instructors to watch the recordings and receive full participation credit.

    Students should contact their instructor at the start of their course to inform the instructor of any foreseen schedule conflicts.  

  • What is a Live Online Class Session in Calculus AB?

    In every HSLDA Academy course, students meet weekly with their instructor and classmates in an online classroom for additional teaching, discussion, Q&A, or group activities. The class sessions are interactive and are conducted using a web meeting software with video, audio, chat, and application sharing capabilities.

    Scheduled, real-time sessions in the online classroom are not the only form of instruction available in a HSLDA Online Academy course, but are offered in addition to lectures or other instructional materials that students are able to access online at their convenience.

    When they register, students will need to select a particular class section and live class meeting time. Additional class sections may be added to the schedule at a later point in the course registration period. Registered students will be notified of any changes to the live session schedule.

  • What is the tuition for Calculus AB?

    Please visit our tuition and discounts page for a full summary about course costs.

    HSLDA members save $100 on yearlong AP® courses!