MATH 1570 - Applied Calculus 1
Fall 2026 Syllabus, Section 02, CRN 40494,
Credit hours: 4
Course Meeting Times
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Instructor
Paul Nachim
Email: pmnachim@ysu.edu
Course Description
1570. Applied Calculus 1. The elements of differential and integral calculus, with emphasis on applications. Analytical geometry, differentiation and integration techniques and series representations. Introduction to differential equations, transform calculus, and Fourier analysis. This is a basic methods course particularly adapted for those who require applied topics in mathematics. Not applicable toward the Mathematics major. Credit will not be given for both MATH 1552 and MATH 1570. 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 |
|---|---|---|---|
| Optional | Technical Calculus with Analytic Geometry (fifth edition) | Peter Kuhfittig |
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 | 1.4, 3.3 | Functions and Curve Sketching | |
| 8/31 | supplemental | Graphing Literacy and Analysis | |
| 9/7 | 2.1 - 2.4 | The Limit and the Dreivative | |
| 9/14 | 2.5 - 2.9 | The Derivative of a Function | |
| 9/21 | 3.1 - 3.3 | Applications of the Derivative: Curve Sketching | |
| 9/28 | 3.4 - 3.6 | Applications of the Derivative: Optimization and Related Rates | |
| 10/5 | 4.1 - 4.4 | The Integral: the Antiderivative | |
| 10/12 | 4.5 - 4.6 | The Integral: the Fundamental Theorem | |
| 10/19 | 4.7 - 4.9 | The Integral: Area and Applications | |
| 10/26 | 6.1 - 6.3 | Transcendental Functions: Trigonometric | |
| 11/2 | 6.4 - 6.7 | Transcendental Functions: Exponential and Inverse | |
| 11/9 | 6.8 - 6.10 | Transcendental Functions: Applications | |
| 11/16 | 8.1 | Vectors and Parametric Equations | |
| 11/23 | 7.1 - 7.3 | Integration Techniques | |
| 11/30 | Catchup and Review |
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.