MAT275 syllabus

MAT275 Modern Differential Equations

Instructor: Professor Hans D Mittelmann

Office: 646 Goldwater Center
Office Hours: TBD

Phone: (480) 965-6595
E-mail: mittelmann at asu.edu
Course URL: plato.asu.edu/MAT275/

Day-by-Day

1/5: book 1.1/2

1/10: book 1.2/3

1/12: Lab1, book 2.1

1/17: book 2.2

1/19: book 2.3

1/24: book 2.5

1/26: Lab 2, book 2.7

1/31: book 8.2/3.1

2/2: book 3.2/3

2/7: book 3.4

2/9: Lab 3, NO CLASS

2/14: book 3.5/6

2/16: midterm I (up to 3.3)

2/21: book 3.6/7.1

2/23: Lab 4, NO CLASS

2/28: book 3.7

3/1: book 3.8

3/6: book 7.2

3/8: Lab 5, book 7.3

3/13: book 7.5

3/15: book 7.6, review

3/27: midterm 2 (up to 7.6)

3/29: book 7.8

4/3: book 6.1/2

4/5: Lab 6, NO CLASS

4/10: book 6.3

4/12: book 6.4

4/17: book 6.5

4/19: NO CLASS

4/24: review, practice files

4/26: final exam (excl 6.5, 12:10-2:00, in classroom

Textbook

Boyce&diPrima (see bookstore website)

Overview

This is an undergraduate first course in ordinary differential equations, covering the following topics:

-Modeling with differential equations in real-life areas.

-Intro to ODEs, the concept of linearity, order, homogeneity, etc.

-IVPs and the existence and uniqueness theorem for 1st-order IVPs.

-First-order ODEs: solution of separable equations; solution of linear equations.

-Approximation of solutions: Euler and Improved Euler methods.

-Higher-order ODEs and IVPs; solution of linear ODEs with constant coefficients.

-Transformation of higher-order ODEs to systems of first-order ODEs.

-Laplace transforms and their inverses, and solution of linear IVPs using them.

-Solution of linear, homogeneous, first-order systems with constant coefficients using matrices.

Assessment

(i) homework, 15%

(ii) 3 in-class exams (2 midterms, 20% each, final, 25%)

(iii) labs/quizzes, 20%

This syllabus is tentative and should not be considered definitive. The instructor reserves the right to modify it to meet the needs of the class. It is the student's responsibility to attend class and to make note of any change.

University and department policies

ACADEMIC INTEGRITY!: see the links on class webpage
Incomplete grades: marks of Incomplete are given only if a student, who is otherwise doing acceptable work (C or better), is unable to complete the course because of illness or other conditions beyond his/her control. A form entitled "Request for Grade of Incomplete" must be completed and signed be the student and the instructor, and must be approved by the department before a grade of Incomplete is awarded. Relevant documentation to support the request must be attached.
Final Exam: A student can be excused from final exam for the following reasons and only the following reasons: religious conflict, more than 3 exams scheduled on the day that includes the class final, time conflict with another final exam, time conflict with a college graduation convocation, last minute personal or medical emergency. A student will not be excused from final exam or given a make-up exam (after or before the regular exam is scheduled) because of nonrefundable airplane tickets, work schedules, family gatherings (weddings,...) and the likes.