MASTER SYLLABUS

2020-2021

A.	Academic Division: Liberal Arts

B.	Discipline: Mathematics

C.	Course Number and Title: MATH2030 Differential Equations

D.	Course Coordinator: Sara Rollo

Assistant Dean: Dr. Steve Haynes

Instructor Information:

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E.	Credit Hours: 5

F.	Prerequisites: MATH2010 (Minimum grade of C- required)

G.	Syllabus Effective Date: Fall, 2020

H.	Textbook(s) Title:

A First Course in Differential Equations

Author: Dennis G. Zill

Copyright Year: 2009

Edition: 9th

ISBN # 9780495108245

I.	Workbook(s) and/or Lab Manual:	None

J.	Course Description: Includes study of differential equations of first and higher order, simultaneous, linear and homogenous differential equations, solution by power series, Laplace transformations, applications, and systems of differential equations. This course meets the requirements for OTM Elementary Differential Equations TMM020 and TAG# OMT020.

K.	College Wide Learning Outcomes:

College-Wide Learning Outcomes	Assessments - - How it is met & When it is met
Communication – Written
Communication – Speech
Intercultural Knowledge and Competence
Critical Thinking
Information Literacy
Quantitative Literacy

L.	Course Outcomes and Assessment Methods:

Upon successful completion of this course, the student shall:

Outcomes	Assessments – How it is met & When it is met
1. Solve first-order differential equations that are separable, linear, and exact by making substitutions and using reduction of order.	Homework, Tests, final exam Weeks 1,2,4 and 16
2. Use linear or nonlinear first-order differential equations to solve application problems.	Homework, Tests, final exam Weeks 3,4 and 16
3. Assess the relationship between slope fields and solution curves for differential equations.	Homework, Tests, final exam Weeks 4 and 16
4. Approximate solutions of first-order differential equations using Euler and Runge-Kutta methods.	Homework, Tests, final exam Weeks 5,8 and 16
5. Solve higher-order homogeneous linear equations with constant coefficients.	Homework, Tests, final exam Weeks 7,8,9,12 and 16
6. Use linear second-order differential equations and higher-order differential equations to solve application problems.	Homework, Tests, final exam Weeks 10,11,12 and 16
7. Use power series to solve higher-order differential equations about ordinary or singular points.	Homework, Tests, final exam Weeks 12 and 16
8. Solve special classes of equations such as Cauchy-Euler, Bessel and Legendre equations.	Homework, Tests, final exam Weeks 13 and 16
9. Perform operations with Laplace and inverse Laplace transforms to solve higher-order differential equations.	Homework, Tests, final exam Weeks 14 and 16
10. Solve systems of differential equations.	Homework, Tests, final exam Weeks 15 and 16

M.	Topical Timeline (Subject to Change):

Week 1	First-order differential equations that are separable, linear or exact *
Week 2	First-order differential equations by making the appropriate substitutions, including homogeneous and Bernoulli equations*
Week 3	Linear or nonlinear first-order differential equations to solve application problems such as exponential growth and decay, population logistics growth, velocity, solution mixtures, two component series circuits and chemical reactions*
Week 4	The relationship between slope fields and solution curves for differential equations. Use a slope field and an initial condition to estimate a solution curve to a differential equation*
Week 5	Approximate solutions of first-order differential equations using Euler and Runge-Kutta methods
Week 6	Method of reduction of order
Weeks 7-8	Higher-order homogeneous linear equations with constant coefficients *
Weeks 8-9	Higher-order nonhomogeneous linear equations with constant coefficients by the method of undetermined coefficients *
Week 10	Higher-order nonhomogeneous linear equations by the method of variation of parameters *
Week 11	Linear second-order differential equations to solve application problems such as spring/mass system motion problems, acceleration, or three component series circuits *
Week 12	Application problems requiring the use of higher-order differential equations with boundary conditions, such as the whirling string, the deflection of a uniform beam and the buckled rod
Week 13	Power series to solve higher-order differential equations about ordinary or singular points
Week 14	Special classes of equations such as Cauchy-Euler, Bessel and Legendre equations
Week 15	Perform operations with Laplace and inverse Laplace transforms to solve higher-order differential equations*
Week 16	Solve systems of differential equations

Asterisk * indicates Ohio Board of Regent’s required topics

N.	Course Assignments:

Homework

Quizzes

Tests

Comprehensive Final Exam

O.	Recommended Grading Scale:

NUMERIC	GRADE	POINTS	DEFINITION
93–100	A	4.00	Superior
90–92	A-	3.67	Superior
87–89	B+	3.33	Above Average
83–86	B	3.00	Above Average
80–82	B-	2.67	Above Average
77–79	C+	2.33	Average
73–76	C	2.00	Average
70-72	C-	1.67	Below Average
67–69	D+	1.33	Below Average
63-66	D	1.00	Below Average
60-62	D-	0.67	Poor
00-59	F	0.00	Failure

P.	Grading and Testing Guidelines:

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Q.	Examination Policy:

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R.	Class Attendance and Homework Make-Up Policy:

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S.	Classroom Expectations:

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T.	College Procedures/Policies:

Important information regarding College Procedures and Policies can be found on the syllabus supplement located at

http://catalog.ncstatecollege.edu/mime/download.pdf?catoid=5&ftype=2&foid=3