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Calculus I Syllabus and Course Structure Overview

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Course Information and Organization

Instructor and Contact Details

This section provides the names, emails, and office hours of the instructors and teaching assistants for the Calculus I course. Students are encouraged to contact instructors via email for appointments and academic support.

  • Instructor Names: Multiple instructors are listed for different sections.

  • Office Hours: Scheduled times and by appointment.

  • Research/Teaching Assistants: Sessions will be announced at the start of the semester.

Course Organization

The course uses an online Learning Management System (LMS) for announcements, homework assignments, and sharing course material. Students are required to have access to a laptop or smartphone for homework submission.

  • Technology Used: moganmath.com for homework assignments.

  • Requirements: Regular access to LMS and online platforms.

Course Materials

Required and Recommended Books

The main textbook for the course is Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences (14th edition) by E. F. Haeussler, R. S. Paul, and R. J. Wood, published by Pearson, 2022.

  • Required Book: Haeussler, Paul & Wood (14th ed.)

  • Recommended Books: None listed.

  • Other Materials: Not specified.

Course Topics and Weekly Schedule

Overview of Topics

The syllabus outlines the main topics covered each week, including functions, limits, derivatives, applications of differentiation, and the Fundamental Theorem of Calculus. The schedule is designed to build foundational calculus concepts for business, economics, and social sciences.

  • Functions: Types, properties, graphs, and transformations.

  • Limits: Concepts, properties, and computation.

  • Derivatives: Definition, rules, and applications.

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

  • Integration: Techniques and the Fundamental Theorem of Calculus.

Sample Weekly Breakdown

Week

Topics

1

Introduction, Sets, Real Numbers

2

Functions and Graphs

3

Special Functions, Combinations, Symmetry

4

Transformations, Applications, Linear Functions

5

Quadratic Functions, Properties, Exponential and Logarithmic Functions

6

Limits and Continuity

7

Limits, Continuity, and Introduction to Derivatives

8

Derivatives and Rules

9

Chain Rule, Implicit Differentiation

10

Applications of Differentiation

11

Optimization, Relative Extrema

12

Asymptotes, Curve Sketching

13

Definite Integrals, Techniques of Integration

14

Fundamental Theorem of Calculus

15

Average Value of a Function

Assessment Methods and Grading

Exams and Assignments

Student performance is evaluated through midterm exams, quizzes, homework assignments, and participation. The grading formula is provided for transparency.

  • Midterm Exams: Two exams, each worth 25% of the final grade.

  • Quiz: Seven quizzes, highest five considered, total 5%.

  • Homework: Five assignments, highest five considered, total 5%.

  • Attendance/Participation: Pass/Fail, based on presence and engagement.

Grading Formula:

Assessment Rules

  • Closed Book Exams: No calculators or communication devices allowed.

  • Make-up Exams: Only one make-up exam for both midterms if missed.

  • Quiz/Homework: No make-ups for missed quizzes or homework.

  • Attendance: Must be present for at least 14/30 sessions to take the final exam.

Expected Student Workload

Semester Workload Table

Activity

Total Hours in Semester

Lectures (including discussion)

42

Recitation/Practice

14

Laboratory/Studio/Kitchen/Field

0

Field Work

0

Pre-class Learning

28

Review/Exam Prep

36

Other

60

Overall Total

180

Other Rules and Information

Health, Safety, Accessibility, and Academic Integrity

  • Health: Course mode may change due to public health concerns.

  • Safety: Laboratory safety rules must be followed.

  • Accessibility: Reasonable accommodations for students with disabilities.

  • Academic Integrity: Strict adherence to honor code and prohibition of unauthorized recording/sharing of lectures.

  • Flexibility: Syllabus subject to change; students will be notified of updates.

Summary

This syllabus provides a comprehensive overview of the Calculus I course, including instructor information, course materials, weekly topics, assessment methods, workload expectations, and important rules. Students should use this guide to plan their studies and understand course requirements.

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