Mathematics Courses, 2004 ATDP

Students choose from two kinds of ATDP Mathematics courses:

Content-rich, fast-moving, teacher-paced classes cover a full year of course work in six weeks--Algebra I, Geometry, Algebra II/Trig, Precalculus, AP Calculus A/B, and AP Statistics. Students must be prepared to learn at a rapid pace and to do many hours of demanding homework daily. Classes meet three days per week.

Elective, in-depth courses focus on specific topics and areas--Foundations of Algebra, Introduction to Geometric Thinking, Topics in Algebra and Geometry, and Tapestry of Mathematics. The class pace is challenging but not rushed. These courses, which carry a recommendation of one semester of credit, help students gain a deeper understanding of math, become more well-rounded, and be better prepared for math classes at school. Classes meet two days per week.

Prerequisites:
If you are applying for Algebra I, Geometry, Algebra II/Trig, Precalculus, AP Calculus AB, or AP Statistics*:

you must have a grade of A in your current math class;

your Teacher Recommendation Form must be completed by your current mathematics teacher;

you can enroll in only one course; and,

you must take the diagnostic examination given on Orientation Day, Saturday, June 12, 2004. Final course placement is contingent upon your diagnostic examination score. If you are unable to take the test on this day, in your acceptance letter we will tell you how to take the test before the start of classes.

Notes:

We do not allow students to repeat math classes at ATDP that they have already taken at their school.

We recommend that students do not take a course at ATDP if they are planning to repeat the same course for credit next year at their school. It usually is not in a student's best interest to repeat the same material twice; based on our past experience, a student's time and effort are better spent in taking a course at ATDP for which he or she wants to receive credit.

Instead of repeating math courses either at ATDP or at their school, we suggest that students consider taking ATDP math electives for which they have already completed the prerequisites.

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2438.2
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2444.4
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2449

Foundations of Algebra (AM)
Foundations of Algebra (PM)
Algebra I (AM)
Algebra I (PM)
Intro. to Geometric Thinking (AM)
Intro. to Geometric Thinking (PM)
Geometry (AM)
Geometry (PM)
Geometry (PM)
Topics in Algebra and Geometry
Algebra II/Trig (AM)
Algebra II/Trig (PM)
Algebra II/Trig (PM)
Tapestry of Mathematics
Precalculus (AM)
Precalculus (PM)
AP Calculus AB
AP Statistics

T/F, 8:30-12:00
T/F, 1:00-4:30
MWF, 8:30-12:00
MWF, 1:00-4:30
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MWF, 8:30-12:00
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{Click on the animated dingbat in front of the titles below to return to the top of this page.}

2438.1 Foundations of Algebra
5 units	T/F, 8:30-12:00	Sarah Petersen	$407
Note: This class is for students who have not yet taken Algebra I. 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—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; the class will approach the topic through mathematical problem solving by using algebra to generalize and extend our discoveries. Throughout the course, students 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 you've solved a problem? How do you generalize from specifics? Homework per class meeting: 3-4 hours Note: This class will have a diagnostic test on Orientation Day, June 12, 2004, but it will not affect course placement.

2438.2 Foundations of Algebra
5 units T/F, 1:00-4:30 Sarah Petersen $407
(Same as course #2438.1, except for the schedule.)

2439.1 Algebra I
10 units MWF, 8:30-12:00 Mary Sue Kennedy $582
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 and graphs; writing and solving equations; numerical, geometric, and algebraic ratios; slopes and rates of change; factoring quadratics; graphing and systems of linear and nonlinear equations; area and sub problems; inequalities; exponents and radicals; and quadratics. The atmosphere of the class is cooperative—the emphasis is on working together. Applicants should be strong math students who are self-motivated, willing to work very hard for six weeks, and eager for a significant challenge.
Homework per class meeting: 6-10 hours
Prerequisites: Completion of Pre-Algebra in addition to the prerequisites listed above.

2439.2 Algebra I
10 units MWF, 1:00-4:30 Mary Sue Kennedy $582
(Same as course #2439.1, except for the schedule.)

2440.1 Introduction to Geometric Thinking (AM)
5 units T/F, 8:30-12:00 Dan Appel $407
This course is designed for students who want to preview selected topics from high school Geometry. The approach is informal, with 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 and scaled paper dogs. 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.
Homework per class meeting: 5-7 hours
Prerequisite: Successful completion of Algebra I.

2440.2 Introduction to Geometric Thinking (PM)
5 units T/F, 1:00-4:30 Dan Appel $407
(Same as course #2440.1, except for the schedule.)

2441.1 Geometry (AM)
10 units MWF, 8:30-12:00 Javier Gonzalez $582
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 8 hours outside of class preparing for each class session.
Homework per class meeting: 8-10 hours
Prerequisites: Completion of Algebra I in addition to the prerequisites listed above.

2441.2 Geometry (PM)
10 units MWF, 1:00-4:30 Javier Gonzalez $582
(Same as course #2441.1, except for the schedule.)

2441.4 Geometry (PM)
10 units MWF, 1:00-4:30 Philippe Henri $582
(Same as course #2441.1, except for the schedule and instructor.)

2443 Topics in Algebra and Geometry
5 units M/Th, 8:30-12:00 Sarah Petersen $407
This course is designed for students who want to learn problem solving and mathematical reasoning skills that can be applied to their subsequent mathematics courses such as Algebra II. It is also for students who want to know more about how math relates to other subjects and areas of interest. Students will work on special projects that connect the abstraction of algebra and the reasoning of geometry to other disciplines. Class projects and discussions will include topics such as vanishing points and perspective drawing in art, similar triangles and scaled models in engineering as well as exponents, and the Fibonacci sequence in biology. Special attention will be given to encouraging students to provide explanations for why their mathematical arguments are valid. Althought some concepts from geometry will be presented, the course will primarily focus on algebraic concepts. This course will provide students with an opportunity to discover the beauty and utility of math, while providing them with skills they will use in Algebra II.
Prerequisite: Successful completion of Algebra I. Introductory Geometry (optional).
Homework per class meeting: 5-7 hours

2444.1 Algebra II/Trigonometry (AM)
10 units MWF, 8:30-12:00 Jessica Crabtree $582
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.
Homework per class meeting: 8-10 hours
Prerequisites: Completion of Algebra I and Geometry in addition to the prerequisites listed above.

2444.2 Algebra II/Trigonometry (PM)
10 units MWF, 1:00-4:30 Jessica Crabtree $582
(Same as course #2444.1, except for the schedule.)

2444.4 Algebra II/Trigonometry (PM)
10 units MWF, 1:00-4:30 Nicole Bouttenot $582
(Same as course #2444.1, except for the schedule and instructor.)

2445 Tapestry of Mathematics
A Study in Higher Math Concepts
5 units M/Th, 8:30-12:00 David Pokorny $407
This course will introduce a variety of objects and methods of higher mathematics. Topics may include: mathematical induction, symmetry groups, Pascal's triangle, the Golden Mean, the infinite, vector spaces, number theory, group actions, topology, and generating functions. Students will focus on concrete examples that motivate the general theory and theorems that help to develop intuition. Ultimately, students will recognize and begin to understand how many of these topics interact in beautiful and bizarre ways; this is the fascination of mathematics that the class will explore this summer.
Prerequisites: Completion of Algebra I (Algebra II recommended), a passion for math, and the ability to absorb new and abstract ideas quickly.
Homework per class meeting: 5-7 hours

2446.1 Precalculus (AM)
10 units MWF, 8:30-12:00 Georgina Mountain $582
This fast-paced course will complete all topics necessary for success in Calculus: coordinate geometry including rational functions and their graphs; conic sections including rotation of axes; elementary functions including inverses and transformation theory; exponential and logarithmic functions; all topics from the trigonometry framework including polar coordinates, polar graphing, polar form of complex numbers, DeMoivre's Theorem, Trigonometric identities, triangle trigonometry for right triangles and non-right triangles, graphs of the trigonometric functions and their inverses; sequences, series, sigma notation; proof by mathematical induction; introduction to limits; and introduction to differentiation.
Homework per class meeting: 6-10 hours
Prerequisites: Completion of Geometry and Algebra II/ Trigonometry in addition to the prerequisites listed above.

2446.2 Precalculus (PM)
10 units MWF, 1:00-4:30 Guive Balooch $582
(Same as course #2446.1, except for the schedule and instructor.)

2447 AP Calculus AB
10 units MWF, 8:30-12:00 Guive Balooch $582
This extremely fast-paced, one-year AP Calculus course will cover all of the material for the AP Calculus AB examination in May 2005: introduction to differential and integral calculus of functions of one variable, with applications and an introduction to transcendental functions; techniques of integration and applications of integration. For an additional fee, students in this class will have the option of taking Saturday review classes in the spring of 2005 to prepare for the AP exam in May of 2005.
Homework per class meeting: 6-10 hours
Prerequisites: Completion of Precalculus in addition to the prerequisites listed above.

2449 AP Statistics
10 units MWF, 8:30-12:00 Beverly Vandiver $582
Statistics is perhaps the most widely applicable branch of mathematics, and coursework will be based almost entirely upon real- world data. This course provides an opportunity to prepare for the May 2005 AP examination in Statistics. The course is guided by the AP syllabus and covers the following areas: organizing data, normal distributions, linear and nonlinear regression, relations in categorical data, designing samples and experiments, simulating experiments, probability, random variables, binomial and geometric distributions, sample distributions, statistical inference, confidence intervals, tests for significance, and chi-square tests. The course expectation is that all students will become fluent with the language and formulas of statistics and with some of the technology that is available for statistical analysis. Both the textbook and the AP exam are designed for the TI-83 graphing calculator, which has extensive statistical capabilities. For an additional fee, students in this class will have the option of taking a Saturday review session in the spring of 2005 to prepare for the AP exam in May of 2005.
Because a year's worth of course material is covered in six weeks, it is strongly recommended that no other ATDP courses be taken at the same time.
Prerequisites: Completion of Algebra II with a final grade of A, and a very strong math teacher recommendation. Completion of at least freshman year of high school or permission of the Director. Completion of at least sophomore year is recommended.
Homework per class meeting: 7-10 hours

atdphome | Contact Info... Phone (510) 642-8308 E-mail queries: lloyd@uclink4.berkeley.edu

2438.2 Foundations of Algebra
5 units	T/F, 1:00-4:30	Sarah Petersen	$407
(Same as course #2438.1, except for the schedule.)

2439.1 Algebra I
10 units	MWF, 8:30-12:00	Mary Sue Kennedy	$582
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 and graphs; writing and solving equations; numerical, geometric, and algebraic ratios; slopes and rates of change; factoring quadratics; graphing and systems of linear and nonlinear equations; area and sub problems; inequalities; exponents and radicals; and quadratics. The atmosphere of the class is cooperative—the emphasis is on working together. Applicants should be strong math students who are self-motivated, willing to work very hard for six weeks, and eager for a significant challenge. Homework per class meeting: 6-10 hours Prerequisites: Completion of Pre-Algebra in addition to the prerequisites listed above.

2439.2 Algebra I
10 units	MWF, 1:00-4:30	Mary Sue Kennedy	$582
(Same as course #2439.1, except for the schedule.)

2441.1 Geometry (AM)
10 units	MWF, 8:30-12:00	Javier Gonzalez	$582
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 8 hours outside of class preparing for each class session. Homework per class meeting: 8-10 hours Prerequisites: Completion of Algebra I in addition to the prerequisites listed above.

2441.2 Geometry (PM)
10 units	MWF, 1:00-4:30	Javier Gonzalez	$582
(Same as course #2441.1, except for the schedule.)

2441.4 Geometry (PM)
10 units	MWF, 1:00-4:30	Philippe Henri	$582
(Same as course #2441.1, except for the schedule and instructor.)

2443 Topics in Algebra and Geometry
5 units	M/Th, 8:30-12:00	Sarah Petersen	$407
This course is designed for students who want to learn problem solving and mathematical reasoning skills that can be applied to their subsequent mathematics courses such as Algebra II. It is also for students who want to know more about how math relates to other subjects and areas of interest. Students will work on special projects that connect the abstraction of algebra and the reasoning of geometry to other disciplines. Class projects and discussions will include topics such as vanishing points and perspective drawing in art, similar triangles and scaled models in engineering as well as exponents, and the Fibonacci sequence in biology. Special attention will be given to encouraging students to provide explanations for why their mathematical arguments are valid. Althought some concepts from geometry will be presented, the course will primarily focus on algebraic concepts. This course will provide students with an opportunity to discover the beauty and utility of math, while providing them with skills they will use in Algebra II. Prerequisite: Successful completion of Algebra I. Introductory Geometry (optional). Homework per class meeting: 5-7 hours

2444.1 Algebra II/Trigonometry (AM)
10 units	MWF, 8:30-12:00	Jessica Crabtree	$582
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. Homework per class meeting: 8-10 hours Prerequisites: Completion of Algebra I and Geometry in addition to the prerequisites listed above.

2444.2 Algebra II/Trigonometry (PM)
10 units	MWF, 1:00-4:30	Jessica Crabtree	$582
(Same as course #2444.1, except for the schedule.)

2444.4 Algebra II/Trigonometry (PM)
10 units	MWF, 1:00-4:30	Nicole Bouttenot	$582
(Same as course #2444.1, except for the schedule and instructor.)

2446.1 Precalculus (AM)
10 units	MWF, 8:30-12:00	Georgina Mountain	$582
This fast-paced course will complete all topics necessary for success in Calculus: coordinate geometry including rational functions and their graphs; conic sections including rotation of axes; elementary functions including inverses and transformation theory; exponential and logarithmic functions; all topics from the trigonometry framework including polar coordinates, polar graphing, polar form of complex numbers, DeMoivre's Theorem, Trigonometric identities, triangle trigonometry for right triangles and non-right triangles, graphs of the trigonometric functions and their inverses; sequences, series, sigma notation; proof by mathematical induction; introduction to limits; and introduction to differentiation. Homework per class meeting: 6-10 hours Prerequisites: Completion of Geometry and Algebra II/ Trigonometry in addition to the prerequisites listed above.

2446.2 Precalculus (PM)
10 units	MWF, 1:00-4:30	Guive Balooch	$582
(Same as course #2446.1, except for the schedule and instructor.)

2447 AP Calculus AB
10 units	MWF, 8:30-12:00	Guive Balooch	$582
This extremely fast-paced, one-year AP Calculus course will cover all of the material for the AP Calculus AB examination in May 2005: introduction to differential and integral calculus of functions of one variable, with applications and an introduction to transcendental functions; techniques of integration and applications of integration. For an additional fee, students in this class will have the option of taking Saturday review classes in the spring of 2005 to prepare for the AP exam in May of 2005. Homework per class meeting: 6-10 hours Prerequisites: Completion of Precalculus in addition to the prerequisites listed above.

2449 AP Statistics
10 units	MWF, 8:30-12:00	Beverly Vandiver	$582
Statistics is perhaps the most widely applicable branch of mathematics, and coursework will be based almost entirely upon real- world data. This course provides an opportunity to prepare for the May 2005 AP examination in Statistics. The course is guided by the AP syllabus and covers the following areas: organizing data, normal distributions, linear and nonlinear regression, relations in categorical data, designing samples and experiments, simulating experiments, probability, random variables, binomial and geometric distributions, sample distributions, statistical inference, confidence intervals, tests for significance, and chi-square tests. The course expectation is that all students will become fluent with the language and formulas of statistics and with some of the technology that is available for statistical analysis. Both the textbook and the AP exam are designed for the TI-83 graphing calculator, which has extensive statistical capabilities. For an additional fee, students in this class will have the option of taking a Saturday review session in the spring of 2005 to prepare for the AP exam in May of 2005. Because a year's worth of course material is covered in six weeks, it is strongly recommended that no other ATDP courses be taken at the same time. Prerequisites: Completion of Algebra II with a final grade of A, and a very strong math teacher recommendation. Completion of at least freshman year of high school or permission of the Director. Completion of at least sophomore year is recommended. Homework per class meeting: 7-10 hours