MATH 3350: Higher Mathematics for Engineers and Scientists I

Course Details

• Instructor: Dr. B. K. Ghosh
• Text: Advanced Engineering Mathematics, 3rd Edition, by Dennis G. Zill and Michael R. Cullen, published by Jones & Bartlett

Material Covered

• First Order Linear ODEs
• Second Order Linear ODEs
• Laplace Transforms
• Elementary Vector and Matrix Manipulation
• Vector Calculus
• Fourier Series

Evaluation

There will be three exams, each one hour and twenty minutes long, and each counting 20% of your grade. The exact exam dates will be announced in class. The final exam will count 20% of your final grade and will be held on a day prescribed by the Department of Mathematics and Statistics, Texas Tech University.

There will be no make-up exams except for sickness or participation in a university-sponsored event. In such circumstances, evidence of your sickness or participation in a university-sponsored event must be presented to the instructor.

There will be 10 homework assignments, each worth 3% of the final grade. However, only a maximum total of 20% of the final grade will come from homework.

Grading Policy

Student Learning Outcomes

This course covers topics in ordinary differential equations, including first-order differential equations, modeling with first-order differential equations, higher-order differential equations, modeling with higher-order differential equations, Laplace transforms, and series solutions of linear equations.

Students will understand the concept of differential equations, their solutions, and applications to physical sciences and engineering. In particular, students will learn to:

• recognize a differential equation and its solution
• compute solutions of first-order differential equations
• compute solutions of linear differential equations
• use Laplace transforms
• recognize Fourier series
• find numerical solutions

In short, students should master the material covered in the assigned chapters.

Assessment

The assessment of student progress will include some or all of the following:

1. three exams during the semester
2. a comprehensive final given at the conclusion of the course
3. graded homework and assignments
4. in-class discussion of homework problems or similar problems from the text
5. one-on-one consultation during office hours

Important Dates

Students are expected to be aware of the important dates outlined by the Department of Mathematics and Statistics as well as Texas Tech University.

ADA Compliance

Any student who, because of a disability, may require special arrangements in order to meet course requirements should contact the instructor as soon as possible to make the necessary arrangements. Students should present appropriate verification from Student Disability Services during the instructor’s office hours. Instructors are not allowed to provide classroom accommodations to a student until appropriate verification from Student Disability Services has been provided. For additional information, contact Student Disability Services at 335 West Hall or 806-742-2405.

Religious Holy Day Observance

Texas House Bill 256 requires institutions of higher education to excuse a student from attending classes or other required activities, including examinations, for the observance of a religious holy day. The student shall also be excused for time necessary to travel. An institution may not penalize the student for the absence and must allow the student to take an exam or complete an assignment from which the student is excused. No prior notification of the instructor is required.

Homework

Exams

Supplementary Notes

• Solving 2nd Order O.D.E.s Using Laplace's Transforms
• Fourier Series and Solving O.D.E.s