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1730 1731 1733 1735 1736 1737 1740 1741 1743 1744 1745

Foundations of Algebra Foundations of Algebra Algebra I Introduction to Geometric Thinking Geometry Geometry Algebra II/Trig Algebra II/Trig An Intuitive Approach to Higher Math Precalculus Precalculus

M/Th, 8:30-12 M/Th, 1:00-4:30 MWF, 1:00-4:30 M/Th, OR T/F, 1:00-4:30 MWF, 8:30-12 MWF, 1:00-4:30 MWF, 8:30-12 MWF, 1:00-4:30 M/Th, 1:00-4:30 MWF, 8:30-12 MWF, 1:00-4:30

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The lab fee for each class is $20, unless otherwise indicated, and is included in the tuition fee for each course below.

1730 Foundations of Algebra
5 units	M/Th, 8:30-12:00	L. Eagan	$350
FOR STUDENTS WHO HAVE COMPLETED GRADE 7 OR 8. Algebra is the language of mathematics and serves as a foundation for much of science and higher mathematics. In this course, we will focus on two topics at the heart of algebra Ñ functions and abstraction. The theme of functions is a powerful and unifying concept, but difficult for many students to understand. Abstraction is at the heart of algebra; we will approach the topic through mathematical problem solving by using algebra to generalize and extend our discoveries. Throughout the course, we will focus on developing deep understandings and connections between mathematical ideas, and on methods for exploring new mathematical situations (e.g., How do you know when youÕve solved a problem? How do you generalize from specifics?). Prerequisites: Pre-algebra. Prospective students should be mathematically curious and willing to struggle with difficult ideas. In addition, they should enjoy working with and learning from their peers. This course is designed for students who have completed Pre-algebra and will be taking Algebra I in the fall.

1731 Foundations of Algebra
5 units	M/Th, 1:00-4:30	S. Magidson	$350
(Same as Course #1730, except for the schedule and instructor.)

1733 Algebra I
10 units	MWF, 1:00-4:30	M. Kennedy	$510
This six-week course provides the equivalent of a standard year-long high school Algebra class. As such, the pace is extremely fast, covering three weeks of usual instruction per class session. The topics to be covered are: data organization; patterns; writing and solving equations; numerical, geometric and algebraic ratios; factoring quadratics; graphing and systems of linear and nonlinear equations; area and sub problems; radicals and inequalities. Applicants should be strong math students who are self-motivated, willing to work very hard for six weeks, and eager for a significant challenge. The atmosphere of the class is cooperative--the emphasis is on working together. Students construct their own meaning with the help of the text and teacher. Prerequisites: Completion of Pre-Algebra with a grade of B or above and a Teacher Recommendation Form completed by your mathematics teacher. Successful completion of an appropriate Algebra readiness test conducted on the day of the ATDP Orientation Session, Saturday, June 6, 1998.

1735 Introduction to Geometric Thinking
5 units	M/Th OR T/F, 1:00-4:30	V. Lam or L. O'Connor	$350
This course is designed for students who want to preview selected topics from high school Geometry. The approach is informal, with a lot of hands-on activities that will allow students to explore geometric concepts. Through a variety of techniques such as cooperative learning, the discovery method, and model making, students will learn about the major concepts of Euclidean geometry. Students will work on a number of special projects such as tessellations. This course will give students the confidence and background to perform well in the regular or honors Geometry courses at their school in the fall. Prerequisite: Successful completion of Algebra I.

1736 Geometry
10 units	MWF, 8:30-12:00	H. Boley	$510
This fast-paced course completes all topics of first-year Geometry: points, lines, planes, and angles; deductive reasoning; parallel lines and planes; congruent triangles; quadrilaterals; inequalities in geometry; similar polygons; right triangles; circles; constructions and loci; areas of plane figures; areas and volumes of solids; coordinate geometry; transformations; and an introduction to trigonometry. There will be a computer laboratory component to the class. Because the course covers a full year of Geometry, students will spend at least 5 hours outside of class preparing for each class session. Prerequisites: Completion of Algebra I with a grade of A or B, and a Teacher Recommendation Form completed by your Algebra I teacher. Final placement in this course is contingent upon making a qualifying score on the diagnostic examination which will be given on Orientation Day, Saturday, June 6, 1998.

1737 Geometry
10 units	MWF, 1:00-4:30	P. Henri	$510
(Same as course #1736, except for the instructor and schedule.)

1740 Algebra II/Trigonometry
10 units	MWF, 8:30-12:00	S. Berman	$510
This extremely fast-paced course completes all topics of second-year Algebra with trigonometry: Linear functions and relations, systems of linear equations and inequalities; quadratic functions and complex numbers; exponential and logarithmic functions; rational and irrational algebraic functions; quadratic relations and systems; higher degree functions and polynomials; sequences and series; graphing techniques; circular and trigonometric functions; use of mathematical models for applications and problem solving. Because the course covers a full year of material, students will spend a great deal of time outside class preparing for each class session. Prerequisites: Open to students who have received an A in Algebra I and an A or B in Geometry, and a Teacher Recommendation Form completed by the studentÕs current mathematics teacher. Final placement in this course is contingent upon making a qualifying score on the diagnostic examination which will be given on Orientation Day, Saturday, June 6, 1998.

1741 Algebra II/Trigonometry
10 units	MWF, 1:00-4:30	S. Berman	$510
(Same as course #1740, except for the schedule.)

1743 An Intuitive Approach to Higher Mathematics
5 units	M/Th, 1:00-4:30	M. Baker	$350
This is an advanced course designed to introduce exceptional students to mathematical topics not usually covered in school. Students will be presented with a number of challenging problems and asked to explore creative solutions. The primary emphasis of the course will be on mathematical thinking and problem-solving, rather than mastering a specific body of material. Topics may include: puzzles and games, mathematical induction, recursion, probability and combinatorics, advanced geometry, number representations, symmetries and patterns, complex numbers, logic and paradoxes, number theory, groups, the Golden Mean, Pascal's triangle, and the infinite. Prerequisites: Algebra I, Geometry, and an inexhaustible love of mathematics.

1744 Precalulus
10 units	MWF, 8:30-12:00	A. Nogelo	$510
This fast-paced course completes all topics necessary for success in Calculus: coordinate geometry, including conic sections; rational functions and their graphs; elementary functions, including inverses and graphs; graphing and transformation theory; polynomial functions; transcendental functions; exponential and logarithmic functions; sequences and series; trigonometric and circular functions; trigonometric identities and equations; inverse trigonometric functions and their graphs; laws of sine and cosine; graphical characteristics of trigonometric functions; solution of right and oblique triangles; introduction to limits and derivatives; introduction to integrals and integration; summations; area under the curve. Prerequisites: Completion of Geometry and Algebra II/Trigonometry with final grades of A or B, and a Teacher Recommendation Form completed by your mathematics teacher.

1745 Precalculus
10 units	MWF, 1:00-4:30	A. Nogelo	$510
(Same as course #1744, except for the schedule.)