**Spring 2020. MATH3350. Section 021. (CRN 39641)**

**Higher Mathematics for Engineers and Scientists I**

**Instructor:**
Luan Thach Hoang

Office: MA 208. Phone: (806) 834-3060.
Fax: (806) 742-1112

Email address: *luan.hoang@ttu.edu*

Homepage:
*http://www.math.ttu.edu/~lhoang/*

Office hours: MTR: 2:30 pm - 3:30 pm

**Classroom and Time:** MA 014, TR 11:00 am - 12:20 pm.

**Course website:**
*http://www.math.ttu.edu/~lhoang/2020Spr-M3350-021/*

Updates
about the course will be posted on this webpage.

**Prerequisite:** MATH 2350 or MATH 2450.

**Text:** *Advanced Engineering Mathematics,* by Dennis G. Zill , 6th Edition, published by Jones & Bartlett Learning.

**Course Description:** This course covers topics in ordinary differential equations. Topics to be covered include: First-order differential equations; Modeling with first-order differential equations; Higher-order differential equations; Modeling with higher-order differential equations; Laplace transform; Series Solutions of Linear Equations.

**Course Outline:**

Chapter 1 - Introduction: Sections 1.1, 1.2

Chapter 2 - First-Order Differential Equations: Sections 2.1-2.8

Chapter 3 - Higher-Order Differential Equations: Sections 3.1-3.6 and 3.8

Chapter 4 - Laplace Transforms: Sections 4.1-4.5

Chapter 5 - Series Solutions of Linear Equations: Sections 5.1, 5.3

Chapter 6 (Selected Topics) - Numerical Solutions of Ordinary Differential Equations: Sections 6.1-6.4

**Student Learning Outcomes:** Students will study topics of differential equations, their
solutions, and applications to physical sciences and engineering. In particular the students will learn to:

- recognize a differential equation and its solution
- compute solutions of first order differential equations
- compute solutions of higher order differential equations
- use Laplace transforms
- the fundamental properties of power series, and how to use them to solve linear differential equations

**Methods of Assessment of Learning Outcomes:** Assessment of the learning outcomes will be achieved through homework assignments, three midterm exams, and a final exam.

**Grading Policy:** Homework will be assigned weekly and will
count for 25% of the grade. The lowest homework score will be
dropped. There will be three midterm exams in class, each will count for 15% of the grade. The final exam will count for 30% of the grade. All in-class exams are closed-book. No make-up exams are given unless legitimate documents for excuses are presented to the instructor at least a week in advance.

Grading Scale: A: 90%-100%, B: 80%-89%,
C: 70%-79%, D: 60%-69%, F: below 60%

**Homework Assignments:** Online homework will be assigned
though Webwork. Students will receive the instructor's message for
login information. Due dates are indicated on each assignment.

**Webwork Link:** http://webwork.math.ttu.edu/webwork2/spr20lhoangm3350s021

**Calculators:** Only scientific calculators
are allowed in exams. These calculators can calculate the values of
the standard algebraic, trigonometric, exponential and logarithmic
functions. Graphing calculators and calculators that can do symbolic
manipulations are not allowed.

**Examination Schedule:**

Midterm 1: Thursday, Feb. 13, 2020.

Midterm 2: Tuesday, Mar. 24, 2020.

Midterm 3: Thursday, Apr. 23, 2020.

FINAL EXAM: 1:30 p.m. - 4:00 p.m, Saturday, May 9, 2020, Room MA 014.

**Critical Dates:**

- Jan. 15: Classes begin.
- Jan. 20: MLK Day. University holiday.
- Jan. 31: Last day for student-initiated drop on MyTech without academic penalty.
- Mar. 14-22: Spring Break. No classes.
- Apr. 13: No classes.
- Apr. 22: Last day for student-initiated drop on MyTech with academic penalty.
- Apr 30 - May 6: No examinations.
- May 5: Last day of classes.

**TTU OPs:**

ADA accommodations (TTU Operating Policy 34.22). Any student who, because of a disability, may require some special arrangements in order to meet course requirements should contact the instructor as soon as possible to make any necessary arrangements. Students should present appropriate verification from Student Disability Services, during the instructor's office hours. Please note instructors are not allowed to provide classroom accommodations to student until appropriate verification from Student Disability Services has been provided. For additional information, you may contact the Student Disability Services office at 335 West Hall or 8067422405.

Absence for observance of a religious holy day (TTU Operating Policy 34.19). 1. “Religious holy day” means a holy day observed by a religion whose places of worship are exempt from property taxation under Texas Tax Code 11.20. 2. A student who intends to observe a religious holy day should make that intention known to the instructor prior to the absence. A student who is absent from classes for the observance of a religious holy day shall be allowed to take an examination or complete an assignment scheduled for that day within a reasonable time after the absence. 3. A student who is excused under Section 2 may not be penalized for the absence; however, the instructor may respond appropriately if the student fails to complete the assignment satisfactorily.

Academic Honesty (TTU Operating Policy 34.12). It is the aim of the faculty of Texas Tech University to foster a spirit of complete honesty and high standard of integrity. The attempt of students to present as their own any work not honestly performed is regarded by the faculty and administration as a most serious offense and renders the offenders liable to serious consequences, possibly suspension. “Scholastic dishonesty” includes, but it not limited to, cheating, plagiarism, collusion, falsifying academic records, misrepresenting facts, and any act designed to give unfair academic advantage to the student (such as, but not limited to, submission of essentially the same written assignment for two courses without the prior permission of the instructor) or the attempt to commit such an act.

**Civility in the Classroom:** Students are expected to assist
in maintaining a classroom environment that is conducive to learning.
In order to assure that all students have the opportunity to gain
from time spent in class, unless otherwise approved by the
instructor, students are prohibited from engaging in any other form
of distraction. Inappropriate behavior in the classroom such as eating, drinking alcohol, smoking, listening to music, talking on cellphone, browsing the internet, etc., shall result, minimally, in a request to leave class. Students should attend class on time to avoid interrupting the lectures.

**Advice:** Come to class regularly, work on homework problems.
Ask questions in class and get help from the instructor during the
office hours. Since a lot of material will be covered, students have
to master them quickly and do not wait too late until the midterms or
the final exam. Students are encouraged to give feedbacks to the
instructor during the semester.

**Note:** When needed, the instructor will communicate with the
students using their TTU email addresses. At the beginning of the
semester, the instructor will send out two special email messages.
One is to confirm the students' email addresses, the other one is
about Webwork. If a student does not receive those messages by the
time of the second class, he/she must contact the
instructor immediately.

**Handouts:**

- Syllabus
- Some Review material (NOT a complete review. It contains some misprints/typos, so read it carefully!.)
- Supplementary notes by the instructor (updated during the semester)
- Lecture notes by Prof. D. Gilliam: Chapters 1 and 2, Chapter 3, Chapter 4 Chapter 5
- Summary of Chapter 3 (Prof. D. Gilliam)
- Formula sheet: Method of undetermined coefficients (Prof. D. Gilliam)
- Formula sheet: Partial fractions (Prof. D. Gilliam)
- Solutions to some problems in sections: 3.3 , 3.4 ,
- Solutions to more problems in Chapter 4 in general: 4a , 4b , 4c , 4d

**Links:**