Your Algebra Homework Can Now Be Easier Than Ever!

Differential Equations, Course Information

Course Number and Title
MAP 2302: Differential Equations

Cata log Description
Topics include ordinary differential equations, the Laplace transform, differential operators,
systems of equations , orthogonal trajectories, electric ne tworks , and inverse transforms. A grade
of C or higher is required for this course to be used as a General Education course. Course is
designated as a Gordon Rule course . (*)

Credit and Contact Hours
3-0-3

Transferability
Yes

Prerequisites
A grade of C or better in MAC 2312

Co-requisites
N one

MAP2302 Student Learning Outcomes

1. De termine the intervals where a Differential Equation is guaranteed to have a
unique solution.
2. Identify the order of a differential equation and recognize if the differential
equation is ordinary (or partial) and linear (or non-linear).
3. Solve first order differential equations using the techniques of separation of
variables, linear equations , exact equations, homogeneous substitution , and
Bernoulli’s substitution.
4. Determine a second linearly independent solution from a known solution.
5. Solve higher order linear differential equations that are homogeneous with constant
coefficients.
6. Solve higher order linear differential equations that are homogeneous with variable
coefficients using the Cauchy -Euler equation.
7. Solve higher order linear differential equations that are nonhomogeneous with
constant coefficients using the techniques of undetermined coefficients,
annihilators, variation of parameters, and Laplace Transforms.
8. Solve higher order linear differential equations that are nonhomogeneous with
variable coefficients using the techniques of variation of parameters and the
Cauchy-Euler equation.
9. Use differential equations to model and solve application problems such as spring
mass systems and LRC circuits.

Textbook and Suggested Schedule Effective: Fall 2009 though Summer 2012

Textbook
Zill, Dennis (2009) A First Course in Differential Equations with Modeling Applications, (9th
Edition) Florence, KY., Cengage Learning
0-495-10824-3

Suggested Course Schedule for MAP2302

Class Ch./Sec. Topic
1 1.1 Definitions and Terminology
2 1.2-1.3 Initial Value Problems; Mathematical Models
3 2.2 Separable Variables
4 2.3 Linear Equations
5 2.4 Exact Equations
6 2.5 Solutions by Substitutions
7   Test #1
8 3.1 First Order Linear Equations – Linear Models
9 4.1 Preliminary Theory: Linear Equations
10 4.2 Reduction of Order
11 4.3 Homogeneous Linear Equations with Constant Coefficients
12   Test #2
13 4.4 Undermined Coefficients-Superposition Approach (Optional)
14 4.5 Undetermined Coefficient-Annihilator Approach
15 4.6 Variation of Parameters
16 4.7 Cauchy-Euler Equation
17   Test #3
18 5.1 Spring Mass Systems-Undamped, Damped, Driven Motion
19 5.1 Spring Mass Systems-Undamped, Damped, Driven Motion
20 5.2 Boundary Value Problems (Optional)
21 6.1-6.2 Solutions about Ordinary Points & Singular Points
22   Test #4
23 7.1 Definition of Laplace Transform
24 7.2 Inverse Transform & Transforms of Derivatives
25 7.3 Operational Properties – I
26 7.4 Operational Properties – II
27 7.6 Systems of Linear Equations (Optional)
28   Test #5
29 8.1-8.2 Systems of Equations - Preliminary Theory; Homogeneous Linear
    Systems with Constant Coefficients (Optional)
30 8.3-8.4 Variation of Parameters; Matrix Exponential (Optional)
    Final Exam
Prev Next

Start solving your Algebra Problems in next 5 minutes!

Algebra Helper
Download (and optional CD)

Only $39.99

Click to Buy Now:


OR

2Checkout.com is an authorized reseller
of goods provided by Sofmath

Attention: We are currently running a special promotional offer for Algebra-Answer.com visitors -- if you order Algebra Helper by midnight of December 13th you will pay only $39.99 instead of our regular price of $74.99 -- this is $35 in savings ! In order to take advantage of this offer, you need to order by clicking on one of the buttons on the left, not through our regular order page.

If you order now you will also receive 30 minute live session from tutor.com for a 1$!

You Will Learn Algebra Better - Guaranteed!

Just take a look how incredibly simple Algebra Helper is:

Step 1 : Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor:

Step 2 : Let Algebra Helper solve it:

Step 3 : Ask for an explanation for the steps you don't understand:



Algebra Helper can solve problems in all the following areas:

  • simplification of algebraic expressions (operations with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots (radicals), absolute values)
  • factoring and expanding expressions
  • finding LCM and GCF
  • (simplifying, rationalizing complex denominators...)
  • solving linear, quadratic and many other equations and inequalities (including basic logarithmic and exponential equations)
  • solving a system of two and three linear equations (including Cramer's rule)
  • graphing curves (lines, parabolas, hyperbolas, circles, ellipses, equation and inequality solutions)
  • graphing general functions
  • operations with functions (composition, inverse, range, domain...)
  • simplifying logarithms
  • basic geometry and trigonometry (similarity, calculating trig functions, right triangle...)
  • arithmetic and other pre-algebra topics (ratios, proportions, measurements...)

ORDER NOW!

Algebra Helper
Download (and optional CD)

Only $39.99

Click to Buy Now:


OR

2Checkout.com is an authorized reseller
of goods provided by Sofmath
Check out our demo!
 
"It really helped me with my homework.  I was stuck on some problems and your software walked me step by step through the process..."
C. Sievert, KY
 
 
Sofmath
19179 Blanco #105-234
San Antonio, TX 78258
Phone: (512) 788-5675
Fax: (512) 519-1805
 

Home   : :   Features   : :   Demo   : :   FAQ   : :   Order

Copyright © 2004-2017, Algebra-Answer.Com.  All rights reserved.