Mathematics Courses, 2002 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 Statistics and AP Calculus A/B. 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 and Introduction to Geometric Thinking. 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 A/B, 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 8, 2002. 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.

2240.1
2240.2
2241.1
2241.2
2242.1
2242.2
2243.1
2243.2
2244.1
2244.2
2246
2247
2249

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)
Algebra II/Trig (AM)
Algebra II/Trig (PM)
Precalculus
AP Calculus A/B
AP Statistics

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

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2240.1 Foundations of Algebra
5 units	M/Th, 8:30-12:00	Mara Landers	$372
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 8, 2002, but it will not affect course placement.

2240.2 Foundations of Algebra
5 units M/Th, 1:00-4:30 Mara Landers $372
(Same as course #2240.1, except for the schedule.)

2241.1 Algebra I
10 units MWF, 8:30-12:00 M. Kennedy $532
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; radicals and inequalities; and exponents and quadratics. 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.
Homework per class meeting: 6-10 hours
Prerequisites: Completion of Pre-Algebra in addition to the prerequisites listed above.

2241.2 Algebra I
10 units MWF, 1:00-4:30 M. Kennedy $532
(Same as course #2241.1, except for the schedule.)

2242.1 Introduction to Geometric Thinking (AM)
5 units T/F, 8:30-12:00 A. Young $372
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. 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.

2242.2 Introduction to Geometric Thinking (PM)
5 units T/F, 1:00-4:30 A. Young $372
(Same as course #2242.1, except for the schedule.)

2243.1 Geometry (AM)
10 units MWF, 8:30-12:00 R. Jarrett $532
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.

2243.2 Geometry (PM)
10 units MWF, 1:00-4:30 P. Henri $532
(Same as course #2243.1, except for the schedule and instructor.)

2244.1 Algebra II/Trigonometry (AM)
10 units MWF, 8:30-12:00 J. Gonzalez $532
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 in addition to the prerequisites listed above.

2244.2 Algebra II/Trigonometry (PM)
10 units MWF, 1:00-4:30 J. Gonzalez $532
(Same as course #2244.1, except for the schedule.)

2246 Precalulus
10 units MWF, 1:00-4:30 G. Balooch $532
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.
Homework per class meeting: 6-10 hours
Prerequisites: Completion of Geometry and Algebra II/ Trigonometry in addition to the prerequisites listed above.

2247 AP Calculus A/B
10 units MWF, 8:30-12:00 G. Balooch $532
NOTE: Calculus A/B is being offered, not Calculus B/C as listed in the printed brochure. The course number remains 2247. If enough students are interested in taking Calculus B/C, we will schedule the course after A/B ends, during late summer and/or the school year. There will be additional class meetings and a separate tuition fee.
This extremely fast-paced, one-year AP Calculus course will cover all of the material for the Calculus A/B AP examination in May 2003: introduction to differential and integral calculus of functions of one variable, with applications and an introduction to transcendental functions; techniques of integration; applications of integration; infinite sequences and series; first-order ordinary differential equations; second-order ordinary differential equations; oscillation and damping; series solutions of ordinary differential equations. For an additional fee, students in this class will have the option of taking Saturday review classes in the spring of 2003 to prepare for the AP exam in May of 2003.
Homework per class meeting: 6-10 hours
Prerequisites: Completion of Precalculus in addition to the prerequisites listed above.

2249 AP Statistics
10 units MWF, 8:30-12:00 B. Vandiver $532
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 2003 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 Saturday review classes in the spring of 2003 to prepare for the AP exam in May of 2003.
Homework per class meeting: 5-7 hours
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.

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

2240.2 Foundations of Algebra
5 units	M/Th, 1:00-4:30	Mara Landers	$372
(Same as course #2240.1, except for the schedule.)

2241.1 Algebra I
10 units	MWF, 8:30-12:00	M. Kennedy	$532
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; radicals and inequalities; and exponents and quadratics. 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. Homework per class meeting: 6-10 hours Prerequisites: Completion of Pre-Algebra in addition to the prerequisites listed above.

2241.2 Algebra I
10 units	MWF, 1:00-4:30	M. Kennedy	$532
(Same as course #2241.1, except for the schedule.)

2242.1 Introduction to Geometric Thinking (AM)
5 units	T/F, 8:30-12:00	A. Young	$372
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. 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.

2242.2 Introduction to Geometric Thinking (PM)
5 units	T/F, 1:00-4:30	A. Young	$372
(Same as course #2242.1, except for the schedule.)

2243.1 Geometry (AM)
10 units	MWF, 8:30-12:00	R. Jarrett	$532
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.

2243.2 Geometry (PM)
10 units	MWF, 1:00-4:30	P. Henri	$532
(Same as course #2243.1, except for the schedule and instructor.)

2244.1 Algebra II/Trigonometry (AM)
10 units	MWF, 8:30-12:00	J. Gonzalez	$532
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 in addition to the prerequisites listed above.

2244.2 Algebra II/Trigonometry (PM)
10 units	MWF, 1:00-4:30	J. Gonzalez	$532
(Same as course #2244.1, except for the schedule.)

2246 Precalulus
10 units	MWF, 1:00-4:30	G. Balooch	$532
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. Homework per class meeting: 6-10 hours Prerequisites: Completion of Geometry and Algebra II/ Trigonometry in addition to the prerequisites listed above.

2247 AP Calculus A/B
10 units	MWF, 8:30-12:00	G. Balooch	$532
NOTE: Calculus A/B is being offered, not Calculus B/C as listed in the printed brochure. The course number remains 2247. If enough students are interested in taking Calculus B/C, we will schedule the course after A/B ends, during late summer and/or the school year. There will be additional class meetings and a separate tuition fee. This extremely fast-paced, one-year AP Calculus course will cover all of the material for the Calculus A/B AP examination in May 2003: introduction to differential and integral calculus of functions of one variable, with applications and an introduction to transcendental functions; techniques of integration; applications of integration; infinite sequences and series; first-order ordinary differential equations; second-order ordinary differential equations; oscillation and damping; series solutions of ordinary differential equations. For an additional fee, students in this class will have the option of taking Saturday review classes in the spring of 2003 to prepare for the AP exam in May of 2003. Homework per class meeting: 6-10 hours Prerequisites: Completion of Precalculus in addition to the prerequisites listed above.

2249 AP Statistics
10 units	MWF, 8:30-12:00	B. Vandiver	$532
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 2003 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 Saturday review classes in the spring of 2003 to prepare for the AP exam in May of 2003. Homework per class meeting: 5-7 hours 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.