Math 2930 - Fall 2018

    Differential Equations for Engineers            


                                                                                                                                                                                   

 Information                                                                             

 

  TA: Aleksandra Niepla

 

  Email: an489@cornell.edu

 

  Office Hours: Thursdays 3-5 PM

 

                        Malott 218

                         

   

  •  Section 217 - Friday 10:10 - 11:00 AM                                

 

         Location: PHL 307

 

  • Section 212 - Friday 1:25 - 2:15 PM 

 

         Location PHL 213

 

  Course Webpage: Blackboard

 

 

 

Discussion Materials

** for a full course syllabus and detailed course info. see Blackboard**

          TOPICS COVERED                 HANDOUTS         

 WEEK 1 (8/24)

1.1-Basic Mathematical models;Direction Fields

 Sec.1.1 Handout

Sec1.1 Handout Solutions

 WEEK 2 (8/31)

1.1-Direction Fields

1.3-Classification of Differential Equations

2.1-Linear DE; Method of Integrating Factors

2.2-Separable Differential Equations

Sec.1,1, 1,3, 2.1, 2.2 Handout

Sec. 1.1, 1.3, 2.1, 2.2 Solutions

 WEEK 3 (9/7)

2.2 Separable Differential Equations

2.3 Modeling with 1st order linear equations

Sec. 2.2, 2.3 Handout

Sec. 2.2, 2.3 Solutions

 WEEK 4 (9/14)

QUIZ 1: direction fields, solving differential equations using integrating factors and separation of variables, modeling word problems (setting up and solving)

2.4- Existence and uniqueness 

2.5- Equilibria and stability

2.6- Exact equations 

Section 2.4, 2.5, 2.6 Handout 

Section 2.4,2.5, 2.6 Solutions

 WEEK 5 (9/21)

2.7 - Numerical Integration

3.1- Homogeneous ODEs

3.3- Complex numbers & Euler's formula 

Section 2.7, 3.1, 3.3 Handout

Section 2.7,3.1, 3.3 Solutions

 WEEK 6 (9/28)

QUIZ 2

-Please review Sections 3.4 and 3.5 on your own

 No Handout

 Q&A/ Prelim Review

  October 2nd

***Prelim 1***

7:30 - 9:00 PM 

Click Here for Room Assignments
WEEK 7 (10/5)

3.6 - Variation of Parameters

3.7 - Free Vibration

Section 3.6-3.7 Handout 

Section 3.6-3.7 Solutions

Week 8 (10/12)

4.1- Theory of nth order linear homogeneous ODEs

4.2- Solving nth order linear homogeneous ODEs with constant                       coefficients

4.3- Solving nth order linear ODEs with constant coefficients

Section 4.1-4.3 Handout

Section 4.1-4.3 Handout Solutions

 

Week 9 (10/19)

 

5.4- Euler Equations

10.1- Two-Point Boundary Value Problems  

10.2- Fourier Series 

Seciton 5.4&10.1-10.2 Handout 

Section 5.4&10.1-10.2 Solutions

Discussion Notes

Problem 4 Part 2 more details

 

Week10 (10/26)

QUIZ 3

No Handout 

Q&A/Prelim review 

October 30th

 

***Prelim 2***

7:30 - 9:00 PM 

 

Click Here for Room Assignments

Week11 (11/2)

10.4- Even and odd functions

10.5- Separation of Variables; Heat Conduction in a Rod

10.6- Other Heat Conduction Probems 

Section 10.4-10.6 Handout

Section 10.4-10.6 Solutions

Week12 (11/9)

- We will review the Heat Equation with and without a source term

- If time permits, we will begin speaking about the wave equation (10.7)

 

Heat Equation Notes
Week13 (10/16)

 

No class

 

Week 14

Review  no handout
Week 15

 

****Quiz 4****

no handout 
Dec. 12th

 

Final Exam 

 

 

 

Additional Resources