Quarter(s): 1,2,3,4

Day(s): Tue, Fri

Open Spots: 3

This is a complete course in high school Calculus which will cover fundamental concepts and provide a solid foundation of mathematical literacy, problem solving, reasoning, and critical thinking skills that are necessary for the exploration of more advanced and rigorous topics in mathematics. Topics in Calculus include limits of functions (one-sided and two-sided limits, limits at infinity and infinite limits, limits of sequences, and continuity of functions), derivatives (various definitions of derivatives, estimating derivatives from tables and graphs, rules of differentiation, properties of derivatives, separable differential equations, and the Mean Value Theorem), applications of derivatives (related rates, optimization, and exponential growth and decay models), integrals (basic techniques of integration including basic antiderivatives and substitution), applications of integrals (in finding areas and volumes, describing motion, and as accumulation functions), and the Fundamental Theorem of Calculus. Students will explore these topics through class discussions, practice problems, and open-ended problem-solving. Prerequisite: Students should have a solid foundation in PreCalculus in order to take this class. Level: This course is offered at two levels, Honors and Advanced Placement (AP). The scope and sequence are identical, however AP students may have additional practice problems. Students who wish to take the AP exam must register and pay for their own exam through the College Board in fall 2024 for the May 2025 exam. Workload: Students should expect to spend 1-1.5 hours per day on reading, review, and homework on most non-class days. Homework assignments will run on a 7-day cycle, with assignments posted on Thursdays and due the following Thursday. Students are advised to start homework once it is assigned (i.e., not wait until the night before it is due). Weekly homework assignments will be of a length that a student should be able to complete them in two or three at-home work sessions. Solutions will be provided for some homework problems, but students are expected to show all steps of their work. Assignments: The Canvas online class management system will be used to post assignments and scores. Students should have their own e-mail address in order to be set up as users of the Canvas system. Parents can also be set up as Canvas guests/observers for purposes of tracking the student's progress and workload. Assessments: Student progress will be assessed by: (1) The instructor checking that weekly homework sets are attempted and complete and (2) detailed grading of periodic take-home tests. Parents will be able to view accumulated points awarded in the class for the purpose of determining a parent-awarded course grade. See the instructor's webpage for detailed homework and test policy, including late work and re-work. Textbook: Students should purchase or rent the required textbook for this class: Calculus: Single Variable/Early Transcendentals, 8th edition by James Stewart (ISBN-13 9781305270336). A scientific calculator similar to the Casio fx-115ES PLUS is required for this class, and it is highly recommended that students preparing for the AP exam have a graphing calculator similar to the TI-83. Students without a graphing calculator must have access to desmos.com and/or wolframalpha.com for graphing assignments. Credit: Homeschool families may wish to count this course as a complete credit in Calculus for purposes of a high school transcript.