MATH 1571 - Calculus 1
Fall 2026 Syllabus, Section 02, CRN 40496,
Credit hours: 4
Course Meeting Times
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Instructor
Padraic Taylor
Email: pwtaylor@ysu.edu
Course Description
1571. Calculus 1.This course is an introduction to calculus. The main concepts to be studied are limits, continuity, rates of change, derivatives, integrals and applications. Prereq.: At least Level 70 on the YSU Mathematics Placement Test or C or better in either MATH 1510 and MATH 1511, MATH 1510C and MATH 1511C, or MATH 1513. 4 s.h.
Course Readings
| Group | Title | Author | ISBN |
|---|---|---|---|
| Required | Calculus (8th edition) with Webassign | James Stewart | 9781337881678 |
The course readings are subject to change in the event of extenuating circumstances, research developments, current events, and/or to ensure better learning.
Assignments/Assessments
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Schedule of Topics and Assignments
| Week of | Reading(s) | Proposed Topic | Due/To Prepare for Class |
|---|---|---|---|
| 8/24 | 1.1, 1.3 | Background Info and Functions | |
| 8/31 | 1.4-1.6 | Limits | |
| 9/7 | 1.7, 1.8 | Definition of Limit, Continuity | |
| 9/14 | 1.8, 2.1 | Continuity, The Derivative | |
| 9/21 | 2.2, 2.3 | The Derivative Function, Differentiation Formulas | |
| 9/28 | 2.3-2.5 | Differentiation Formulas, Derivatives of Trig Functions, The Chain Rule | |
| 10/5 | 2.6, 2.8 | Implicit Differentiation, Related Rates | |
| 10/12 | 2.9 | Linearization and Differentials | |
| 10/19 | 3.1 | Max and Min values | |
| 10/26 | 3.2, 3.3, 3.4 | The Mean Value Theorem, Shapes of Curves, Limits at Infinity | |
| 11/2 | 3.5, 3.7, 3.9 | Curve Sketching, Optimization, Antiderivatives | |
| 11/9 | 4.1, 4.2 | Areas, Distance, and the Definite Integral | |
| 11/16 | 4.3, 4.5 | The Fundamental Theorem of Calculus, Substitution | |
| 11/23 | 5.1, 5.2 | Areas and Volumes | |
| 11/30 | 5.4, 5.5 | Work, Average Value of a Function | |
| 12/7 | Finals Week |
The course schedule, policies, procedures, and assignments in this course are subject to change in the event of extenuating circumstances, by mutual agreement, and/or to ensure better learning.