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Calculus I Course Syllabus and Weekly Structure

Study Guide - Smart Notes

Tailored notes based on your materials, expanded with key definitions, examples, and context.

Course Overview

This syllabus outlines the weekly structure and main topics for a college-level Calculus I course. The course covers foundational concepts in calculus, including limits, derivatives, integrals, and their applications. Assignments, discussions, and exams are scheduled throughout the term to reinforce learning and assess understanding.

Weekly Topics and Modules

Week

Module

Main Topic

Text Sections

Assignments/Activities

1-2

Module 1

Precalculus Review

—

Course info, Discussions, Assignments in MyMathLab

3-4

Module 2

Limits and Continuity

2.1–2.6

Readings, Discussions, Assignments

5-7

Module 3 & 4

Derivatives & More with Derivatives

3.1–3.10

Readings, Discussions, Assignments, Midterm Exam

8

Module 4

More with Derivatives

3.9–3.10

Midterm Exam, Assignments

9-10

Module 5

Applications of Derivatives

4.1–4.8

Readings, Discussions, Assignments

11-12

Module 6

Integrals

5.1–5.6

Readings, Discussions, Assignments

13-14

Module 7

Applications of the Definite Integral

6.1–6.4

Readings, Discussions, Assignments

15

Module 8

Final Exam

—

Final Exam in MyMathLab and Handwritten Submission

Key Topics Covered

  • Precalculus Review: Fundamental algebraic concepts, functions, and graphing skills necessary for calculus.

  • Limits and Continuity: Understanding the concept of a limit, evaluating limits, and determining continuity of functions.

  • Derivatives: Definition of the derivative, rules for differentiation, and higher-order derivatives.

  • Applications of Derivatives: Using derivatives for curve sketching, optimization, and related rates problems.

  • Integrals: Introduction to antiderivatives, definite and indefinite integrals, and the Fundamental Theorem of Calculus.

  • Applications of the Definite Integral: Calculating areas, volumes, and solving applied problems using integration.

Assignments and Assessments

  • Weekly Assignments: Practice problems and exercises in MyMathLab to reinforce each week's topic.

  • Discussions: Online discussion boards for collaborative learning and clarification of concepts.

  • Exams: Midterm and final exams, including both online and handwritten components, to assess comprehensive understanding.

Important Policies

  • Assignment Deadlines: All assignments are due by 11:59pm Eastern Time on the specified due date.

  • Late Policy: Refer to the syllabus in the Course Information tab for details on late submissions.

  • Official Calendar: Term dates and important deadlines are available on the college's official calendar.

Additional Info

  • This syllabus provides a structured pathway through the foundational topics of Calculus I, preparing students for further study in mathematics and related fields.

  • Students are encouraged to participate in discussions and seek help as needed to master challenging concepts.

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