Course Catalog - Partial Math and Science Course List

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.Enroll now or request more information.

Statistics

This Areteem Institute course introduces students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students are exposed to four broad conceptual themes: 1. Exploring Data - Describing patterns and departures from patterns. 2. Sampling and Experimentation - Planning and conducting a study.  3. Anticipating Patterns - Exploring random phenomena using probability and simulation. 4. Statistical Inference - Estimating population parameters and testing hypotheses. This course is an excellent option for any secondary school student who has successfully completed a second-year course in algebra and who possesses sufficient mathematical maturity and quantitative reasoning ability. Available as a standard or self-paced course.Enroll now or request more information.

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.Enroll now orrequest more information.

Java Programming

Instruction and experience in the use of the Java programming language. Program design; development of good programming style; preparation for other Computer Science courses. Prerequisites: Problem solving skills such as those acquired in a statistics, logic, or advanced high school algebra course. Available as a standard or self-paced course.Enroll now or request more information.

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.Enroll now or request more information.

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.Enroll now or request more information.

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.Enroll now or request more information.

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.Enroll now orrequest more information.

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. There are four 10-week sessions, planned with the goal to take the Physics Bowl contest in the spring. Available as a standard or self-paced course.Enroll now orrequest more information.

Physics Challenge II

Preparation for the first stage of the USA Physics Olympiad (USAPhO), the “F=ma” exam (a.k.a. the preliminary or screening exam). This Areteem Institute course assumes the students already have a basic understanding of high school physics (specifically mechanics) concepts, and is ready to solve competition problems. The course focuses on mechanics and mostly follows the International Physics Olympiad (IPhO) Syllabus. The course covers vector-based kinematics, Newton’s laws, conservation of energy and momentum, fundamental forces as applied to mechanics (gravity, elastic forces, friction), orbital motion, rigid body mechanics, oscillation and waves, etc. Discussion of other useful techniques including dimensional analysis, answer reasonableness, introduction to modern physics research, and writing free-response solutions. Students may spend a short time applying non-mechanics physics (Electricity & Magnetism, Thermodynamics, Modern Physics) to competition problems relevant to the Physics Bowl. The goal will be for each member of the class to take the F=ma exam and qualify for the USAPhO Semi-Final Exam. The material will be useful for the Physics Quiz Bowl and other Science Bowls, including AP Physics, SAT II:Physics, first-year college physics, and Physics problem solving generally, allowing the techniques and advantages gained in this course to transcend into many other areas. Available as a standard or self-paced course.Enroll now or request more information.

Physics Challenge III

Preparation for the higher stage of the USA Physics Olympiad (USAPhO), the “Semi-Final” Exam.  This Areteem Institute course requires detailed familiarity with basic physical principles (at the AP Physics C level or higher), some experience with competition problem solving, and a desire to compete in Physics competitions at a national level. Topics will include all areas of Physics, mostly following the International Physics Olympiad (IPhO) syllabus: classical mechanics, thermodynamics and molecular physics, oscillations and waves, electric charges, physics of electronic circuits, electromagnetic fields and waves, and basic modern physics. The course will focus on writing valid and coherent free-response solutions (like the Semi-Final Exam), and will review other useful techniques including dimensional analysis, answer reasonableness, and introduction to modern physics research. The goal for each member of the class is;to do very well on the F=ma exam and to be nationally competitive on the USAPhO Semi-Final Exam. While the course will focus on USAPhO preparation, the material will be useful for the Physics Quiz Bowl and other Science Bowls, AP Physics,  SAT II:Physics, first-year college physics, and (competition) problem solving generally, allowing the techniques and advantages gained in this course to transfer into many other areas. International students will also find this useful for their own regional and national Physics Competitions. Available as a standard or self-paced course.Enroll now or request more information.

Pre-Algebra

Pre-Algebra is a year-long course that acts as a gateway for algebra and future mathematical courses at Aretéem institute. The curriculum is designed to cover all the necessary material to successfully complete in local algebra entry tests in the spring, such as California's Algebra Readiness test. The Areteem Institute Pre-Algebra course puts an emphasis on math problem solving for students to acquire a deeper understanding of the materials. Available as a standard or self-paced course.Enroll now or request more information.

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.Enroll now orrequest more information.

Geometry

Geometry is for Areteem Institute students who have completed algebra. Coupled with another mathematics class this fufills 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.Enroll now or request more information.

Math Challenge I

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.Enroll now or request more information.

Math Challenge II

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.Enroll now or request more information.

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.Enroll now or request more information.

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.Enroll now or request more information.