## Differential Equations

**Course Code:**

MAP2302

**Credit Hours:**

3

**Effective beginning:**

2022-23

**Course Description:**

This course is an introductory course in ordinary differential equations. Topics covered include methods for solving various types of first-order differential equations, second-order and higher-order linear differential equations, and systems of linear differential equations. Methods include undetermined coefficients, variation of parameters, Laplace transforms, power series solutions, and numerical methods.

### Course Details

**Prerequisites:**

Prerequisite or corequisite: MAC 2313

##### Instructors:

TBD

##### Required textbooks/ course materials:

MyLab Math with eText – 18 Week Instant Access – for *Fundamentals of Differential Equations and Boundary Value Problems*, 7^{th} Edition, by Nagle, Saff and Snider, Pearson. ISBN-13: 9780135963807

OR

MyLab Math with Pearson eText – 24-Month Standalone Access Card – for *Fundamentals of Differential Equations and Boundary Value Problems*, 7^{th} Edition, by Nagle, Saff and Snider, Pearson. ISBN-13: 9780135997925

##### Assignment/course outline:

See your Instructor First Day Handout for individual instructor assignment schedule.

##### Discipline-level learning outcomes:

**Area 3 -Math: Demonstrate Basic Mathematical Skills and Knowledge**

The purpose of the mathematics component of the core curriculum is to develop quantitative literacy with an ability to apply basic mathematical tools in the solution of real-world problems.

M-1 Solve mathematical problems by using arithmetic, algebraic, or geometric skills.

M-2 Translate basic mathematical information verbally, numerically, graphically, or symbolically.

M-3 Solve mathematical problems using appropriate technology.

M-4 Interpret mathematical models such as formulas, graphs, tables, or schematics.

M-5 Solve contextual problems using mathematical processes.

##### Course-level learning outcomes:

Course-level student learning outcomes | Discipline-level learning outcomes | Assessment methods |
---|---|---|

Classify differential equations Determine if a relation or function is a solution to a differential equation Sketch initial value solutions Find approximations to solutions of initial value problems Solve first-order differential equations Solve second-order and higher-order linear differential equations Solve differential equations and systems of differential equations using Laplace transforms Solve linear differential equations using power series solutions Apply methods of solving differential equations to contextual problems |
M-4 M-1 M-2, M-4 M-3, M-4 M-1 M-1 M-1 M-1 M-5 |
Unit Tests, Cumulative Final, Homework |

##### Means of accomplishing learning outcomes:

**MAP 2302 is not a General Education core course and therefore a student in ****MAP 2302 will demonstrate selected learning outcomes from this list.**

Teacher Facilitated: The teacher will be leading class discussions on the material contained in the text during each class period.

Student-Centered: The students will take notes and practice solving problems during each class period.

Office Hours: The instructor will be available during office hours for individual assistance. The instructor’s schedule can be found posted on their office door and/or via their individual web site.

ACE Lab Tutors: Student tutors are available in the lab to provide individualized help. Hours can be found posted each semester on the lab door and/or via the web site.

### College-wide policies and resources

For more specific information on Chipola's college-wide academic policies and resources available to students, visit the link below.