Course Catalog

Areteem Institute offers a full curriculum of middle and high school courses, including online AP courses. What follows is a partial listing of Areteem’s courses. Almost all of our courses are also available as self-paced courses for students who may prefer to complete certain courses on their own time.

	Math and Sciences		Humanities
Level	Math	Science	English	Social Studies	Foreign Language	Art
Level 1	Pre-Algebra Math Challenge I-AB	Earth Science Life Science	ESL I through IV English 6 - 7	Geography US History	Spanish I	Music
Level 2	Algebra I Geometry Math Challenge II-AB	Physical Sciences Physics	English 8 - 9	US History	Mandarin I Spanish II	Fine Arts
Level 3	Algebra II Pre-Calculus AP Calculus A	Chemistry Biology AP Physics B Physics Olympiad I	English 10 – 11 Essay Writing Creative Writing	World History	Mandarin II	Visual Design
Level 4	SAT Math AP Calculus B Math Challenge III	AP Chemistry AP Physics C Computer Science Physics Olympiad II	English 11 – 12 SAT English College Application Essay Writing	AP U.S. History	SAT II Mandarin	AP Music Theory
Level 5	AP Statistics Linear Algebra Differential Equations	AP Biology AP Computer Science Organic Chemistry	AP English	European History	Mandarin III	Advanced Design
Level 6	Discrete Math Math Challenge IV Research and Internship	Physical Chemistry Research and Internship	Critical Thinking Speech and Debate Research and Internship	Research and Internship	Research and Internship	Research and Internship

Calculus

Areteem Institute’s calculus is devoted to a rigorous presentation of the basics of Mathematical Analysis of real valued functions of one (real) variable from the standpoint of contemporary/modern Mathematics. This course is equivalent to a full-year college course in single variable calculus. It covers functions including parametric, polar, and vector representations, use of graphs, derivatives and their applications, differentials, limits, integrals and their applications, differential equations, and infinite series. The course emphasizes the art of problem solving, a multirepresentational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally, with the connections among these representations highlighted. Available as a standard or self-paced course.

Statistics

Computer Science

Areteem Institute’s Advanced Computer Science course emphasizes object-oriented programming methodology with an emphasis on problem solving and algorithm development. It also includes the study of data structures and abstraction. Available as a standard or self-paced course.

English Literature

English Literature is designed for motivated students with a command of standard English who have an interest in exploring classical and contemporary literature and possess a desire to analyze and interpret dominant literary genres and themes. Students learn to apply methods of literary analysis and write with a variety of goals to increase expression. This course is often offered to high school seniors and to some advanced juniors and is designed to be challenging and arduous. Many students go on to perform well in college English courses as a result of their experience with Areteem Institute’s Advanced English Literature and Composition class. Available as a standard or self-paced course.

English Grammar & Composition

Areteem Institute’s English Grammar & Composition course develops students’ skills in close analysis of literature, learning to craft and support compelling and eloquent analytical prose. Students read from a wide range of literary genres and time periods and perceive how they all intersect through a series of broad philosophical topics. They will also learn to hone in on their critical writing skills, particularly with regard to thesis development, paragraph unity and argumentative structure. Overall, this course emphasizes literary analysis in an interdisciplinary context. Available as a standard or self-paced course.

European History

Areteem Institute’s European History course is for high school students who are interested in a first year university level course in European history. The course surveys European history from the year 1450 to 2001, focusing on religious, social, economic, and political themes. Available as a standard or self-paced course.

US History

Areteem Institute’s Advanced U.S. History course is designed to provide students with the analytic skills and factual knowledge necessary to deal critically with problems and issues of U.S. history. This program prepares students for intermediate and advanced college courses by making demands on them equivalent to those made by full-year introductory college courses. Students learn to assess historical materials—their relevance to a given problem, reliability, and importance—and to weigh the evidence and interpretations presented in historical scholarship. The course further develops the necessary skills to arrive at conclusions on the basis of an informed judgment and to present reasons and evidence clearly and persuasively in essay format. Available as a standard or self-paced course.

Physics Fundamentals

Areteem Institute’s series of first year Physics courses explains the concepts in Physics and incorporates the problems covered in the SAT II, the Physics Bowl and the Physics Olympiad. Covering topics in mechanics, electricity and magnetism, thermodynamics, and modern physics, this four term course covers all the main topics in physics from an algebra-based perspective. Students will be ready to compete in Physics Bowl after completing this course. Available as a standard or self-paced course.

Algebra

This is a college paced algebra course set to prepare students for higher level mathematics classes. Areteem Institute covers in-depth material that will sufficiently encapsulate two years of algebra and prepare students to take calculus once students have also completed geometry. Available as a standard or self-paced course

Geometry

Geometry is for Areteem Institute students who have completed algebra. Coupled with another mathematics class this fulfills the basic California University requirement for math. Students who have completed Geometry and Algebra will then be prepared to take Calculus. Available as a standard or self-paced course.

Math Challenge I-AB

Areteem Institute students learn math skills at a deeper level with topics in creative problem solving in everyday applications, beginning algebra, fundamental geometry, basic number theory concepts and counting strategies, as well as logic and probabilities. The students not only learn practical skills of challenging problem-solving that are supplemental to their school curricula, but also develop skills in creative thinking, logical reasoning, oral & written presentation, and team work. This course helps 6th to 8th graders (some advanced 5th graders may attend upon approval) to participate in the American Mathematics Competition (AMC) 8, MATHCOUNTS and Math Olympiads for Elementary and Middle Schools (MOEMS). With the effective guidance and direction by our experienced teachers, students develop strong problem solving skills that make them perform well in the MATHCOUNTS, AMC 8, and MOEMS Contests. Available as a standard or self-paced course.

Math Challenge II-AB

In MC II, Areteem Institute students learn and practice in areas such as algebra and geometry at the high school level, as well as advanced number theory and combinatorics. Topics include polynomials, inequalities, special algebraic techniques, trigonometry, triangles and polygons, collinearity and concurrency, vectors and coordinates, numbers and divisibility, modular arithmetic, residue classes, advanced counting strategies, binomial coefficients, pigeonhole principle, sequence and series, and various other topics and problem-solving techniques involved in math contests such as the American Mathematics Competition (AMC) 10, 12 and ARML, and also the beginning AIME level. Available as a standard or self-paced course.

Math Challenge III

This course is for experienced Areteem Institute students who are at the level that qualifies for AIME. However, solving a few problems in the AIME contest is still challenging. This course trains students to get comfortable with AIME level problems, up to the USAMO level. In this course, the students learn more in-depth math concepts and problem-solving strategies that involve more rigorous mathematical writing and a broad range of topics. The topics include everything covered in MC II with more depth, and additional topics such as quadratic residue, diophantine equations, recurrence, proving inequalities, mathematical induction, functional equations, generating functions, inversion, projective geometry, and rigorous proof-writing practices. Through effective guidance and direction by our experienced teachers, students develop strong problem solving skills that help them to perform well in AIME and USAMO. Available as a standard or self-paced course.

Math Challenge IV

This course is for experieced Areteem Institute students who can solve at least a few problems in the AIME contest and can qualify or almost qualify for USAMO. In this course, the students learn more in-depth math concepts and problem-solving strategies that involve more rigorous mathematical writing and a broad range of topics. Students are trained to comfortably solve the AIME problems to qualify for USAMO, also to comfortably write mathematical proofs for problems at the USAMO level, aiming to win USAMO and get into the prestigious MOSP. The topics include everything covered in MC II with more depth, and additional topics such as quadratic residue, diophantine equations, recurrence, proving inequalities, mathematical induction, functional equations, generating functions, inversion, projective geometry, and rigorous proof-writing practices. Through effective guidance and direction by Areteem Institute’s experienced teachers, students develop strong problem solving skills that lead them to perform well in AIME and USAMO. Available as a standard or self-paced course.