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 2^nd	*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 n^th order linear homogeneous ODEs 4.2- Solving n^th order linear homogeneous ODEs with constant coefficients 4.3- Solving n^th 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 30^th	*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

modeling word problems and solutions
direction field generator (for checking answers only, such tools are not available on tests and quizzes)