Mathematics

Course Descriptions

BARD017 Mathematics 9: Algebra I
BARD018 Mathematics 9: Geometry
This two-semester sequence covers the basics of algebra and geometry in an integrated format, teaching the essential concepts of each, while also demonstrating interrelations between the two. Specific topics for the year include: basic algebra reivew, linear equations, inequalities, quadratic equations, geometrical thinking and problem-solving, logic, sets and basics of probability. In the context of the above, students will learn how to construct proofs and will come to understand the importance of theorem/proof construction in mathematics. Through writing, students demonstrate their conceptual understanding of mathematics.

BARD019 Mathematics 10: Algebra II
BARD020 Mathematics 10: Trigonometry
This two-semester sequence will advance students’ understanding of algebra and trigonometry, as they prepare for the transition to college-level work in mathematics. Specific topics for the year include: real numbers and algebraic expressions; sequences and series; equations, inequalities, and problems solving; function operations; and exponential, logarithmic, and trigonometric functions. Students will continue to develop their understanding of the role of theorem/proof construction in mathematics. Through writing, students demonstrate their conceptual understanding of mathematics.

Depending on their math placement level, Year 1 and Year 2 students take two college level math courses, generally drawn from BARD021-024.

BARD021 College Algebra (semester and year-long versions)
College algebra enables students to polish their algebra skills in order to study more advanced math; the course also serves students who intend to focus on areas outside of mathematics and the sciences in their college studies. The algebraic tools studied includes those required for pre-calculus and calculus, as well as for the study of probability, statistics, computer science, and other quantitative fields. Students learn about graphs, polynomials, rational functions, exponential functions and logarithmic functions.

BARD022 College Pre-Calculus (semester and year-long versions)
This course focuses on the study of the function concept and the major function classes. Among the classes that will be considered are the polynomial functions, the rational functions, the exponential and logarithmic functions, and the trigonometric functions and their inverses. This course is recommended for anyone who is seriously considering continuing on in mathematics or in the sciences in their college careers.

BARD023 College Calculus I
BARD024 College Calculus I
This two-semester sequence focuses on the major elements of calculus. The first semester centers on functions, graphs, and limits. The concept of the derivative is also central to the course, including the derivative at a point, and the derivative as a function. The second semester includes interpretation and properties of definite integrals, the fundamental theorem of calculus, and applications of antidifferentiation.