MATH 1570 01: Applied Calculus 1

MATH 1570 - Applied Calculus 1

Summer 2026 Syllabus, Section 01, CRN 30661,

Credit hours: 4

Course Meeting Times

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Instructor

Paul Nachim

Professional Qualifications:
Master of Science, Mathematics, Youngstown State University, 1990

Lecturer

Email: pmnachim@ysu.edu

Office: Cafaro Hall, Room 622

Office Phone: (330) 941-3302

Preferred Contact Method: email

Communication Expectations:
I prefer to be contacted by email or in person

How to Refer to me:
Mr. Nachim

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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 (5th Edition). Peter Kuhfittig 1-133-94519-8

The course readings are subject to change in the event of extenuating circumstances, research developments, current events, and/or to ensure better learning.  

Course Learning Outcomes/Objectives/Goals

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How to Succeed in This Course

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Attendance Expectations

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Late Work Submission Policy

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Additional Course Expectations

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Artificial Intelligence Policy Statement

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Assignments/Assessments

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Grading and Grading Scale

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University Policies

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Tentative Coverage of Topics

Day Date Reading(s) Proposed Topic Due/To Prepare for Class
Mon 5/11 Sections 1.3, 2.1 Introduction
Functions and Lines
Wed 5/13 Section 2.2 Limits of Functions
Mon 5/18 Sections 2.2, 2.3, 2.4 Limits and Graphs
Definition of the Derivative
Wed 5/20 Sections 2.5 Derivatives of Polynomials
Mon 5/25 No Class
Wed 5/27 Section 2.7 Differentiation Rules
Mon 6/1 Sections 2.6, 2.9 Rates of Change
Higher-Order Derivatives
Applications
Wed 6/3 Sections 3.1, 3.2, 3.3 Curve Sketching Analysis 1
Mon 6/8 Sections 3.1, 3.2, 3.3 Curve Sketching Analysis 2
Wed 6/10 Section 3.4 Applications of Minima and Maxima
Mon 6/15 Section 3.5 Relative Rates
Wed 6/17 Sections 2.8, 3.6 Implicit Differentiation
Differentials
Applications
Mon 6/22 Cumulative Review
Wed 6/24 Midterm Exam (Tentative Date Only)
Mon 6/29 Sections 4.1, 4.2, 4.3 Antiderivatives
Wed 7/1 Section 4.5 Integration Formulas
Mon 7/6 Section 4.4 The Definite Integral
Wed 7/8 Sections 4.6 Area Between Curves
Mon 7/13 Sections 4.6, (4.7), 4.8 Applications of Integration
Wed 7/15 Catchup
Applications
Mon 7/20 Sections 6.2, 6.3 Derivatives of Trigonometric Functions
Wed 7/22 Sections 6.3, 6.5 More Differentiation
Mon 7/27 Sections 6.7, 6.8 Differentiation of Logarithmic and Exponential Functions
Wed 7/29 Sections 6.9, 6.10, 8.1 Applications
Parametric Equations
Vectors
Mon 8/3 Sections 7.1, 7.2 Integration Techniques 1
Wed 8/5 Sections 7.1, 7.2, 7.3 Integration Techniques 2
Mon 8/10 Course Review
Wed 8/12 Final Exam

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.