Calculus I

Section A: Thursdays 1:00-2:40 PM Eastern Time (10:00-11:40AM Pacific Time)

Prerequisites: Precalculus or Saxon Advanced Math 2nd Edition

NOTE: This course is approved for optional Dual Enrollment Credit (MAT 141 Calculus I) through Kepler's Partnership with Colorado Christian University's Dual Credit Program via CCU Academy. See details below. Parents and students should schedule a meeting with Mrs. Santoro before enrolling in CCU's Dual Credit Program.

Calculus I is a classical, Christian approach to the liberal arts of mathematics and geometry. Galileo Galilei proposed, “Mathematics is the language in which God has written the universe.” Math is the language...Math is a language? A language implies communication. While a language, like any language, can be learned by textbooks and one-way imparting of information, the ability does not imply it should be taught solely in that manner. To become fluent, one must speak conversationally. Utilizing a state-of-the-art eLearning system for the foundational framework of didactic instruction and diligent development of intellectual skills and habits, this course is designed to shepherd students through and beyond the curriculum and into deeper understanding and wisdom by employing various discussion methods of participation via the canons of rhetoric.

This course consists of two semesters and offers 1.0 high-school credit and optional 4.0 collegiate credits through CCU. Each semester students will be assigned lessons, quizzes, and exams, record weekly journal entries, and attend live recitations as an active member. Students should expect to expend time and effort in line with an honors/advanced/AP Calculus course. Additional semester and final exams are required for students enrolled in CCU's Dual Credit Program.

Course Objectives

1. To look at mathematics and geometry from a biblical viewpoint.
2. To build upon Precalculus with Trigonometry knowledge and to gain a grasp of the topics and concepts of Calculus.
3. To learn, review, and practice intellectual skills of learning in the fundamentals of mathematics and geometry.
4. Within the rigor of the materials and calendar, to contemplate the truth, beauty, and goodness via journaling and actively participating in discussions of mathematics and geometry.
5. To study the language of mathematics and geometry with a goal of improving fluency.
6. To gain understanding and wisdom in the arts of mathematics and geometry using Cicero’s Five Canons of Rhetoric to participate in various methods of discussions.

Curriculum

• Shormann, David, PhD Calculus (Required eLearning Course Subscription) Please purchase the $69 non-refundable, 12-month school license through Kepler and not through DIVE.

Optional references

• Kelly, W. Michael (The Humongous Book of Calculus Problems, ISBN-13 978-1592575121) (highly recommend)
• Stokes, Mitch, PhD (Calculus for Everyone, ISBN-13 978-1944482541)
• Nickel, James (Mathematics: Is God Silent?, ISBN-13: 978-1879998223)
• Densmore, Dana (editor) (Euclid's Elements Book One with Questions for Discussion, ISBN-13: 978-1888009460)
• Euler, Leonard (Elements of Algebra, ISBN-13: 978-1508901181)

Attendance

Attendance is a vital part of this course; therefore, students must attend class sessions and actively participate in discussions. Unless stated otherwise, students are expected to have completed the assignments before coming to class. Although the recitations will be recorded, a student cannot participate while watching a recording.

General Information for the Virtual Classroom

• Stable internet connection
• Working webcam, headset, and microphone
• Ability to convert written work into clear, readable portable document format (pdf)

NOTE: The first quarter includes a high-speed and intense review and preview of ten major math concepts: number, ratio, algebra, geometry, analytical geometry, measurement, trigonometry, calculus, statistics, and computer math. Adequately blocked time is necessary to diligently develop or polish skills and habits and avoid “cram, test, dump” mentality. Depending on student's math knowledge and fluency, consider blocking at least two hours per day for margins around a focused 1.5 hours of study four (or five) days a week, plus the weekly 1.5-hour recitation, especially in the first quarter. Students pursuing dual credit may need additional time and extra problems to build competence and longer retention.*

Colorado Christian University's - Dual Credit Program | CCU Academy.

This dual-credit course costs $200 and must be completed with a grade of C- or higher to be considered for college transfer credit. Calculus I (MAT 141) is a 4-credit course. NOTE: The $200 is per course, not per credit!