Analytic Geometry/Calculus I (MATH 2114) Syllabus Overview and Study Guide

Course Overview

Course Description

This course, Analytic Geometry/Calculus I (MATH 2114), introduces students to the foundational concepts of calculus, including limits, continuity, differentiation (with applications), and an introduction to integration. The course emphasizes both algebraic and transcendental functions, and their applications in real-world and theoretical contexts.

• Limits and Continuity: Understanding the behavior of functions as inputs approach specific values.

• Differentiation: Techniques and applications of finding derivatives, including for transcendental functions.

• Applications of Derivatives: Optimization, curve sketching, and related rates.

• Introduction to Integration: Fundamental Theorem of Calculus and basic integration techniques.

Course Learning Outcomes

• Represent algebraic and transcendental functions algebraically, graphically, or numerically.

• Find derivatives of algebraic and transcendental functions.

• Solve algebraic and transcendental equations.

• Interpret derivatives and integrals for applied scenarios.

• Demonstrate personal responsibility for academic success.

• Communicate results of mathematics through scientific, graphical, numerical, and written means.

Course Structure and Requirements

Modality

• Online, asynchronous format (no scheduled Zoom class meetings).

• Students are responsible for planning regular study times and keeping up with assignments on Blackboard and MyLab Math (MLM).

Materials and Resources

• Textbook: Calculus Early Transcendentals by Briggs, Cochran, Gillett, and Schulz (custom edition for TCC).

• Access to MyLab Math (MLM) for homework and quizzes.

• Calculator: TI-84 or other approved graphing calculator required.

Technical and Academic Support

• Student Support Center for technical issues.

• MyLab Math support via Pearson.

• TCC Science and Math Tutoring Centers for in-person and virtual tutoring.

Grading Breakdown

CATEGORIES	POINTS	PERCENTAGE
Notes & video completion in Blackboard	100	10%
Homework in MLM	150	15%
Quizzes in MLM	150	15%
Exams (MLM or paper proctored)	600	60%
Total Points for the Class	1000	100%

Letter Grade Scale

NUMBER OF POINTS EARNED	PERCENTAGE	LETTER GRADE
895 - 1000	90 - 100%	A
795 - 894	80 - 89%	B
695 - 794	70 - 79%	C
595 - 694	60 - 69%	D
0 - 594	0 - 59%	F

Key Policies and Expectations

• Attendance: Defined as logging into Blackboard and MLM weekly and completing assignments.

• Late Work: Homework in MLM accepted late with a penalty; quizzes cannot be taken late.

• Withdrawal: Non-participation may result in withdrawal; see Academic Calendar for deadlines.

• Calculator Policy: Only approved calculators allowed; no cell phones or online calculators during proctored events.

• Proctored Exams: Most of your grade comes from proctored exams; you may use a single page of notes during these exams.

• AI Usage: AI tools may be used for checking work, but not for unproctored homework or proctored assessments. Overreliance on AI may result in poor performance on exams.

• Academic Integrity: Cheating or plagiarism will result in disciplinary action as per TCC policy.

Institutional and Student Support

• Non-discrimination, accessibility, and accommodation policies are in place to support all students.

• Student resources include counseling, wellness services, and access to Microsoft Office software.

• Students are responsible for understanding and following all TCC policies and procedures.

Summary Table: Main Calculus I Topics (as per course description)

Chapter	Main Topics
Ch. 1	Functions
Ch. 2	Limits and Continuity
Ch. 3	Derivatives
Ch. 4	Applications of the Derivative
Ch. 5	Introduction to Integration

Example: Key Calculus Concepts

• Limit: The value that a function approaches as the input approaches a certain point. Example: $\lim_{x \to 2} (3x + 1) = 7$

• Derivative: The instantaneous rate of change of a function with respect to its variable. Example: If $f(x) = x^2$, then $f'(x) = 2x$

• Fundamental Theorem of Calculus: Connects differentiation and integration, stating that if $F$ is an antiderivative of $f$ on $[a, b]$, then: $\int_a^b f(x)\,dx = F(b) - F(a)$

Additional Info

• This syllabus provides a comprehensive overview of course expectations, grading, and support resources. For detailed content on each calculus topic, refer to the course textbook and weekly modules.