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Advanced Math Topics Honors

Course No: 2477
Subject: Mathematics
Grade Level: 11, 12
Course Length: Year
Course Type: AP/Honors, Elective
UC/CSU Subject Approval: C
Prerequisite: Completion of or concurrent enrollment in Calculus, AP Calculus AB, or AP Calculus BC
Criteria for Enrollment: Approval of Department Chair, based on teacher recommendation, and previous performance in any level of precalculus.

This course will explore material that is typically reserved for college math majors. Students will be asked to go beyond the realm of algebraic manipulations and conventional symbols. They will learn to engage with new structures and formal logic. Topics include (but are not limited to) introductions to Set and Number Theory, Abstract and Linear Algebra, Cryptography, and Multivariable Calculus. This course is intended for students with an interest in mathematics beyond Calculus and provides an introduction to a variety of college courses.

*UC/CSU Subject C Approval Pending

AP Calculus AB

Course No: 2413
Subject: Mathematics
Grade Level: 12
Course Length: Year
Course Type: AP/Honors, Elective
UC/CSU Subject Approval: C
Prerequisite: Precalculus Accelerated or Precalculus Honors
Criteria for Enrollment: Approval of Department Chair, based on teacher recommendations and satisfactory national test scores, minimum Math Dept. weighted GPA of 3.5 – with accelerated courses counting as +0.5 to the GPA for the accelerated course(s), and honors courses counting as +1.0 to the GPA for the honors course(s). Students are required to take the Advanced Placement exam in May.

This course is designed for the student who is interested in pursuing a college major with a strong emphasis in mathematics. The course will cover three main topics of Calculus:  limits, derivatives, and integrals. The course will emphasize a multi-representational approach to calculus with concepts and solutions expressed graphically, numerically, and analytically. The course emphasizes conceptual understanding of derivatives, integrals, and limits, as well as applications of these concepts. In order to develop these concepts, functions and graphs are a fundamental part of this course.  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

AP Calculus BC

Course No: 2423
Subject: Mathematics
Grade Level: 12
Course Length: Year
Course Type: AP/Honors, Elective
UC/CSU Subject Approval: C
Prerequisite: Precalculus Honors
Criteria for Enrollment: Approval of Department Chair, based on teacher recommendations and satisfactory national test scores, minimum Math Dept. weighted GPA of 3.65 – with accelerated courses counting as +0.5 to the GPA for the accelerated course(s), and honors courses counting as +1.0 to the GPA for the honors course(s). Students are required to take the Advanced Placement exam in May.

AP Calculus BC is an extension of AP Calculus AB rather than an  enhancement.  This course includes all topics covered in the AP Calculus AB course, with similar emphases and similar depth of understanding required.  The course also presents intensive study of parametric, polar, and vector functions; sequences and series; and elementary differential equations.  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

AP Calculus BC (Night Class)

Course No: 2424
Subject: Mathematics
Grade Level: 12
Course Length: Year
Course Type: AP/Honors, Elective
UC/CSU Subject Approval: C
Prerequisite: Precalculus Honors
Criteria for Enrollment: Approval of Department Chair, based on teacher recommendations and satisfactory national test scores, minimum Math Dept. weighted GPA of 3.65 – with accelerated courses counting as +0.5 to the GPA for the accelerated course(s), and honors courses counting as +1.0 to the GPA for the honors course(s). Students are required to take the Advanced Placement exam in May.

This section of AP Calculus BC will be offered in a flipped-teaching format with one night on-campus and two instances of open office hours. Students will complete all assignments through Canvas and will complete unit assessments in-person.

AP Calculus BC is an extension of AP Calculus AB rather than an  enhancement.  This course includes all topics covered in the AP Calculus AB course, with similar emphases and similar depth of understanding required.  The course also presents intensive study of parametric, polar, and vector functions; sequences and series; and elementary differential equations.  A Texas Instruments TI-83 or TI-84 series graphing calculator is required.

*This course is offered outside of the 9:00 am – 2:45 pm school day. (Meets Thursday nights from 6:00-9:00 pm)

**This class will be offered pending adequate enrollment.

***Class receives honors weighting in SI weighted GPA and UC/CSU GPA calculations

AP Statistics

Course No: 2470
Subject: Mathematics
Grade Level: 12
Course Length: Year
Course Type: AP/Honors, Elective
UC/CSU Subject Approval: C
Prerequisite: Algebra 2, Precalculus Accelerated or Precalculus Honors
Criteria for Enrollment: Grade of B+ or better in Algebra 2, Approval of Department Chair, teacher recommendation. Students are required to take the Advanced Placement exam in May.

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

Calculus

Course No: 2410
Subject: Mathematics
Grade Level: 12
Course Length: Year
Course Type: Elective
UC/CSU Subject Approval: C
Prerequisite: Precalculus Accelerated or Precalculus Honors
Criteria for Enrollment: Approval of Department Chair, based on teacher recommendation, satisfactory national test scores, past performance in Math, especially Precalculus

This course is designed for the student who is interested in pursuing a college major with a strong emphasis in mathematics.  In the first part of the course, the elementary properties of functions and their inverses are reviewed, as well as specific types of functions (exponential, logarithmic, trigonometric).  Subsequently, the student is introduced to the concepts of limits and continuity; differentiation and its applications to problems of extrema and related rates of change; anti-differentiation  and its application to the solution of differential equations; definite integrals and their application to finding areas, volumes, and length of curves.  A Texas Instruments TI-83 or TI-84 series graphing calculator is required.

Honors Linear Algebra Multivariable Calculus

Course No: 2430
Subject: Mathematics
Grade Level: 12
Course Length: Semester
Course Type: AP/Honors, Elective
UC/CSU Subject Approval: C
Prerequisite: AP Calculus BC or AP Calculus AB and the approval of the Department Chair
Criteria for Enrollment: Approval of Department Chair, teacher recommendations and satisfactory national test scores, minimum weighted Math Dept. GPA of 3.65 – with accelerated courses counting as +0.5 to the GPA for the accelerated course(s), and honors courses counting as +1.0 to the GPA for the honors course(s).

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)

Introduction to Finance

Course No: 2474
Subject: Mathematics
Grade Level: 12
Course Length: Year
Course Type: Elective
UC/CSU Subject Approval: C
Prerequisite: Algebra 2, Precalculus Accelerated or Precalculus Honors
Criteria for Enrollment: Grade of B or better in Algebra 2, Approval of Department Chair, teacher recommendation.

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 Analysis

Course No: 2460
Subject: Mathematics
Grade Level: 12
Course Length: Year
Course Type: Elective
UC/CSU Subject Approval: C
Prerequisite: Algebra 1, Geometry, Algebra 2
Criteria for Enrollment: Approval of Department Chair

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.

Mathematics Teaching Assistant

Subject: Mathematics
Grade Level: 12
Course Length: Semester, Year
Course Type: Elective
Prerequisite: None
Criteria for Enrollment: Application Supervising Teacher Supervision, approval of Department Chair. Enrollment is via roster submitted by instructor. Students should not list this course on their Schedule Request Forms.

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:

    1. Assist students taking courses in which the Teaching Assistant has demonstrated mastery.
    2. 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.