# Math 214. Differential Equations

Spring 2024

• Instructor:         Enrique Treviño

• Lectures:           MWF 2:30 - 3:50 pm in Brown Hall 121

• Office Hours:    Tuesdays and Thursdays between 9 am to 11:30 am. Also Mondays and Wednesdays from 4pm to 5pm. You can also arrange a meeting by appointment.

• Office:               Brown Hall 123

• Email:

• Phone Ext.:        #6187

Announcements

Practice Exam 2.
Practice Exam 2 Solutions. (The solutions are labeled problems 6,7,8.)

Practice Exam 1.
Practice Exam 1 Solutions. (The solutions are labeled problems 1,2,3,4,5.)

Announcements will be displayed here.

Course Description

Differential equation models, analytic solution techniques, qualitative solution concepts, and computer visualization for single equations and systems. Applications of differential equations. Prerequisite: Mathematics 210 or permission of the instructor. (Under the Forester Fundamental Curriculum, this course meets the Quantitative Reasoning requirement. Under the old GEC, this course meets the Natural Science & Mathematics requirement.)
Textbook

Elementary differential equations and boundary value problems 11-th edition, by W. Boyce and R. DiPrima.

The textbook is mandatory.

Topics we will cover

This course is a survey of important types of differential equations, both linear and nonlinear. Topics include the study of systems of ordinary differential equations, numerical solutions of first and second order equations and of systems, and the solution of elementary partial differential equations using Fourier series. From the textbook, we will cover chapters 1, 2, 3, 4, 5, 7, and 10.

Student Learning Outcomes

Main Goals:
• Learn how to solve linear ordinary differential equations.
• Learn how to solve systems of ordinary linear differencial equations.
• Understand how to set up differential equations.
• Learn how to analyze slope fields.
• Be able to solve questions that involve setting up a differential equation.

The course grade will be based on:
Homework 10%,
Midterms 60% (15% each),
Final Exam 30%.

Homework

There will be written homework roughly every week. The most recent homework will be posted in the announcements and a copy of all homeworks can be accessed here. Collaboration in the homework is permitted, however you must write in your own solutions to the exercises and submit it as your own.

Exams

There will be four midterms and one final exam. On the midterms and the final exam you must work on the problems on your own. No collaboration permitted in the exams.

The dates are:

• The first midterm will be on Friday February 9.
• The second midterm will be on Monday March 4.
• The third midterm will be on Monday April 15.
• The fourth midterm will be on Friday April 26.
• The final exam will be on Friday May 3 from 1:30pm to 4:30pm.

Attendance

Students are expected to come to every lecture and every exam.

If the dates of the exams conflict with Lake Forest approved events, inform me as soon as possible.

Description of instructional time and expectations:

This course meets 3 times per week for 4.5 hours per week. The course carries 1.0 course credit (equivalent to four semester credit hours). Students are expected to devote a minimum of 12 hours of total work per week (in-class time plus out-of-class work) to this course.