Prerequisites: MA 261 or equivalent preparation with a grade of C or
Textbook: Fundamentals of Differential Equations (Seventh Edition) by R. K.
Nagle, E. B. Saff, and A. D. Snider, published by Pearson Education, Inc., 2008.
• classify differential equations by order, linearity, and homogeneity;
• solve certain classes of first order ODEs (separable, linear, exact,
homogeneous, Bernoulli, and equations with linear coefficients);
• solve second and higher order ODEs with constant coefficients;
• solve differential equations numerically using Euler‟s method;
• use direction fields/phase plane for qualitative analysis of the integral
(it may include equilibrium solutions and their classifications ).
Homework: Homework problems will be taken from the Exercise Set following
section of the textbook. Doing daily as signments is essential to being
in this course. Class time will be devoted to questions concerning
homework problems. Keep in mind that sufficient time spent on
(1-2 hours daily) is excellent preparation for quizzes and
Students with Disabilities: If you are a student with a
who will require academic/classroom accommodations in this
course, please register
with the Coordinator of Services for Students with
Disabilities in the Student
Support Services Office located in the Student Union
and Library Building (SUL),
Room 341, ph one numbers : 219-989-2455,
219-989-2454(voice/TTY) or 219-989-
Extra Help: See me in my office and work with other students.
Academic Honesty: The following is an Honor Code and an Honor Pledge to
all Purdue University Calumet Students must adhere: “I understand that
dishonesty will not be tolerated at Purdue University Calumet. I am here
learn. Through learning, I will strive to become a better person and a more
valuable contributor to society. I understand that dishonesty in the classroom,
through cheating, plagiarism or other dishonest acts defeats this purpose and
disgraces the mission and quality of a Purdue University Calumet education.
Therefore, I make the following pledge: „In accordance with the honor code, I
not engage in dishonesty in my academic activities, and I will not tolerate
dishonesty by other students.'”
Civility: Purdue University Calumet places a priority on student learning. We
the inherent worth and dignity of every person, thereby fostering a
mutual respect. We believe that in order to achieve these ideals,
University Calumet students are expected, while in the role as
representative of the university, to exhibit and practice civil
behaviors, defined as
1. Respect faculty, staff, fellow students, guests, and all university property,
policies, rules and regulations
2. Take responsibility for one‟s choices and actions
3. Accept consequences of one‟s inappropriate choices and actions
4. Communicate in a professional and courteous manner in all forms, and at all
times, whether verbal, non-verbal or written
Lecture Schedule (subject to small changes without prior notice)
1.2 Solutions and Initial Value Problems
Section 1.1: 1-12, 13
Sec. 1.2: 1, 2, 7, 10, 21
1.3 Direction Fields
Section 1.3: 1, 5, 8, 11
Homework 1 due & Quiz
1.4 The Approximation Method of Euler
Section 1.4: 4, 6, 11, 15
2.1 Motion of a Falling Body
2.2 Separable Equations
4.5 The Superposition Principle and Undetermined
Sec. 4.5: 1, 4, 7, 10, 18, 26
4.6 Variation of Parameters
Sec. 4.6: 2, 4, 6, 12, 16
EXAM II (from Chapters 3 and 4) & Homework 6 due
5.1 Interconnected Fluid Tanks
5.2 Elimination Method for Systems with Constant Coefficients
Sec. 5.2: 3, 6, 14, 20, 21
Homework 7 due & Quiz
5.3 Solving Systems and Higher-order Equations Numerically
Sec. 5.3: 2, 3, 10
5.4 Introduction to the Phase Plane
Sec. 5.4: 2, 4, 6, 7, 12
Homework 8 due & Quiz
6.1 Basic Theory of Linear Differential Equations
Sec. 6.1: 1, 3, 8, 15, 20
6.2 Homogeneous Linear Equations with Constant
Sec. 6.2: 3, 6, 12, 20, 22
Homework 9 due & Quiz
6.3 Undetermined Coefficients and the Annihilator Method
Sec. 6.3: 2, 4, 8, 12, 21, 32
6.4 Method of Variation of Parameters
Sec. 6.4: 1, 4, 7, 10
Exam III (from Chapters 5 and 6) & Homework 10
7.2 Definition of the Laplace Transform
7.3 Properties of the Laplace Transform
Sec. 7.2: 2, 4, 10, 14
Sec. 7.3: 3, 7, 10
No Class (Thanksgiving Day)
7.4 Inverse Laplace Transform
Sec. 7.4: 1, 3, 5, 8
7.5 Solving Initial Value Problems
Sec. 7.5: 2, 4, 7, 10
Project Discussions & REVIEW
Project Discussions & REVIEW
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others need assistance or if someone is trapped in an elevator. Severe Weather…
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• Immediately call University Police (989.2911)
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cell phone) if an ambulance is needed. Power Failure … • If it lasts more than a few seconds…secure your space and go to the first
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