This course covers differential, integral, and vector calculus for functions or more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics. The course opens with a unit on vectors, which introduces students to this critical component of advanced calculus and will culminate in Green’s Stokes’ and Gauss’ Theorems. We will study partial derivatives, double and triple integrals, and vector calculus in both two and three dimensions. Students are expected to develop fluency with vector and matrix operations. Understanding of parametric curves as a trajectory described by a position vector is an essential concept, and this allows us to break free from one-dimensional calculus and investigate paths, velocities, and other applications of science that exist in three-dimensional space. We study derivatives in multiple dimensions, we use the ideas of the gradient and partial derivatives to explore optimization problems with multiple variables, and we consider constrained optimization problems using Lagrangians. After our study of differentials in multiple dimensions, we move to integral calculus. We use line and surface integrals to calculate physical quantities especially relevant to mechanics and electricity and magnetism, such as work and flux, and we employ volume integrals for calculations of mass and moments of inertia.
The study of systems of linear equations, the algebra of matrices, determinants, vector spaces, linear transformations, the algebra of linear transformations with an introduction to dual spaces, eigenvalues and eigenvectors, and the applications of vectors and matrices to linear equations and linear transformations.
*Class receives honors weighting in SI weighted GPA and UC/CSU GPA calculations (UC/CSU Subject C Approval Pending)
This course is designed to give each student thorough preparation in basic Trigonometry and Statistics. THIS COURSE IS NOT MEANT TO BE A PREPARATION FOR CALCULUS. Topics include the Trigonometric and Circular functions and their applications, Identities, Oblique Triangle Trig, and Vectors (in two dimensions) in rectangular and polar form. The course also includes an introduction to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. A Texas Instruments TI-83 or TI-84 series graphing calculator is required.
This course is designed to give students a foundation for further studies in math while emphasizing preparation for majors in psychology, sociology, and other non-calculus fields. The course is intended for students wishing to complete the equivalent of a one-semester non-calculus based college course in statistics and will introduce them to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. A Texas Instruments TI-83 or TI-84 series graphing calculator is required.
*Class receives honors weighting in SI weighted GPA and UC/CSU GPA calculations
Students taking this elective will develop the skills needed to make sound financial decisions. Topics will include planning your career, payroll and taxes, banking, credit, budgeting, purchasing, basic economics, an introduction to stats and business ethics. All of these topics will be taught through a lens of fiscal and ethical responsibility. This course also extends beyond personal finance to some topics more relevant to college level business and finance courses. Therefore, it can provide a stronger foundation for students considering that path of study in college.
Math Teaching Assistants provide support for the math department (1 hour/week) either before school, after school, or during resource period in one or more of the following ways:
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- Assist students taking courses in which the Teaching Assistant has demonstrated mastery.
- Assist with grading assignments that require no teacher interpretation.
Students interested in being a Teaching Assistant are required to fill out a short application available from their teacher or the math department chair. Teaching Assistants are typically supervised by an individual teacher, whose signature is required at the time of application. Students will be selected based on department needs and student qualifications. In some cases, students taking AP math courses will have priority in being a Teaching Assistant due to their qualifications in offering peer assistance.
PE 210 is a weight lifting and fitness class which introduces resistance training as a lifelong fitness choice. Through safe lifting technique, appropriate progression and repetition, students will learn more about their bodies and how weight training can support their fitness goals. This class is centered on the development of Muscular Strength and Muscle Endurance and is appropriate for students new to weight lifting, as well as in and out of season athletes. In addition to our program, each student must complete a Standard First Aid & CPR (or an equivalent) course during the semester enrolled. We will offer the CPR/SFA course pending staff availability and enrollment.
*UC/CSU Subject G Approval pending
**This class will be offered pending staffing availability and adequate enrollment.
This course prepares students to become student trainers. This is a lecture, reading, and activity course. In Sports Medicine 1, students will learn the fundamentals of anatomy, prevention, care, treatment, taping, and rehabilitation of athletic injuries. Students are exposed to a variety of situations/scenarios aimed at achieving a basic knowledge of sports medicine through various “hands-on” activities. Students are educated and evaluated on their performance through active participation, homework assignments, tests/quizzes, taping, and game day evaluation.
*This class will require 1-2 hours a week of practical work in the Training Room after school.
**This class will be offered pending staffing availability and adequate enrollment.
Through movement and in stillness, seeking balance and leaning outside the comfort zone, the PE 815 student has the unique opportunity to focus on personal performance and to build sustainable habits toward becoming the best version of themselves on and off the mat, be it for athletics, performing arts, academics, or for your personal life …. Do you have space in your schedule to focus on yourSelf?
*This class will be offered pending staffing availability and adequate enrollment.
Instructor: Katie Wolf
An experiential class focused on the exploration of the human desire to remember and recognize the Creator. Through our exploration of symbols used as visual expressions in art, architecture and religious imagery, we will study various faith traditions to gather an understanding of praise older than language and the written word; to “see God in all things.” In this integrated approach to learning about culture, religion and the arts, each student will create 15 major art pieces that represent the faith traditions studied and their own original works that express an understanding of aesthetics. Through research, studio work, field trips (Holy Trinity Greek Orthodox Church, S.F., First Church of Christ Scientist, Berkeley, St. Mary’s Cathedral, S.F.), written papers, prayer, and reflection, each student will gain an ability to understand the role of the Creative spark in our lives. An understanding of their own creative process will allow them to embrace the universal call of the Beloved to us, His instruments, and our response – an expression of praise.
The goal of this course is to introduce students to the major religious traditions of the world and uncover what they have to teach about ourselves and the challenge of living in the 21st century. We will focus on the core teachings of these traditions and supplement our readings with various mediums, including religious art and film. An introduction to the study of religion and an overview of the characteristics of primal religions will form the foundation of our studies. An in-depth analysis of the major “world religions,” including Judaism, Islam, Hinduism, Buddhism, and Taoism, will follow. The common end of our diverse wisdom traditions is to transform our humanity into divine, awakened consciousness, enabling us to see the “divine in all things,” as St. Ignatius would say. Our ultimate goal, then, will be to overcome fear and ignorance in order to become religiously literate and compassionate citizens, aware of a deep unity that underlies all of reality.
