MATH 2030 - Differential Equations

Academic Division:

Liberal Arts

Academic Discipline:

Mathematics

Assistant Dean: Steve Haynes PhD

5 Credit(s)
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 also TAG# OMT020. UG OMT020

5 Lecture Hour(s);

Required Prerequisite Course(s): Successful completion of MATH 2010 with a grade of C- or better required

College Wide 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

Student Learning Outcomes for Course

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

Standard Grading Scale
93-100 A

90 - 92 A-

87- 89 B+

83 - 86 B

80 -82 B-

77- 79 C+

73 - 76 C

70 -72 C-

67- 69 D+

63 - 66 D

60 -62 D-

00- 59 F

Statement on Diversity
North Central State College believes that every student is a valued and equal member of the community.* Every student brings different experiences to the College, and all are important in enriching academic life and developing greater understanding and appreciation of one another. Therefore, NC State College creates an inclusive culture in which students feel comfortable sharing their experiences. Discrimination and prejudice have no place on the campus, and the College takes any complaint in this regard seriously. Students encountering aspects of the instruction that result in barriers to their sense of being included and respected should contact the instructor, assistant dean, or dean without fear of reprisal.

*Inclusive of race, color, religion, gender, gender identity or expression, national origin (ancestry), military status (past, present or future), disability, age (40 years or older), status as a parent during pregnancy and immediately after the birth of a child, status as a parent of a young child, status as a foster parent, genetic information, or sexual orientation,

Standard NCSC Course Policies
Important information regarding College Procedures and Policies can be found on the syllabus supplement located at this link