MAP2302

Differential Equations

Course Code:
MAP2302

Credit Hours:
3

Effective beginning:
2022-23

Sections:
001

 

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:

Stan Young
youngs1@chipola.edu

 

 

Required textbooks/ course materials:

MyLab Math with Pearson eText for Digital Update for Nagle Fundamentals of Differential Equations with BVPs -- Instant Access (18-weeks), ISBN: 9780137394494.

 

 

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 outcomesDiscipline-level learning outcomesAssessment 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.

 

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