Engineering Mathematics

Course Information

  • Course Title: Engineering Mathematics
  • Course Code: 2014197
  • Credits: 3
  • Class Schedule:
    • Days: Sunday, Tuesday
    • Time: 8:00-10:00
  • Class Location: Class 2
  • Instructor: Seyed Sadjad Abedi-Shahri

Course Overview

This advanced engineering mathematics course is designed to provide students with a comprehensive understanding of key mathematical techniques essential for engineering and applied science disciplines. The course focuses on three critical areas: Complex Analysis, Fourier Analysis, and Partial Differential Equations, equipping students with powerful mathematical tools for modeling and solving complex engineering problems.


Learning Objectives

By the end of this course, students will be able to:

  1. Complex Analysis
    • Manipulate complex functions and understand their properties
    • Apply complex integration techniques
    • Use conformal mapping and residue theorem to solve engineering problems
  2. Fourier Analysis
    • Understand and apply Fourier series and transforms
    • Solve engineering problems using Fourier techniques
  3. Partial Differential Equations (PDEs)
    • Classify and solve different types of PDEs (Wave/Heat/Laplace)
    • Apply separation of variables and transform methods
    • Model physical phenomena using PDEs in engineering contexts

Syllabus

  1. Complex Analysis
  2. Fourier Analysis
  3. Partial Differential Equations

References

  1. [KRE] Advanced Engineering Mathematics [9th ed.] by Erwin Kreyszig
  2. [ONE] Advanced Engineering Mathematics [7th ed.] by Peter V. O’Neil
  3. [ZIL] Advanced Engineering Mathematics [6th ed.] by Dennis G. Zill
  4. [DUF] Advanced Engineering Mathematics with MATLAB [4th ed.] by Dean G. Duffy
  5. [YAN] Engineering Mathematics with MATLAB by Won Y. Yan et al.

Evaluation Scheme

  1. Midterm Evaluation: 25 points

    • Complex Analysis
  2. Final Evaluation: 60 points

    • Fourier Analysis + Partial Differential Equations
  3. Continuous Evaluation: 15 points

    • Based on exercises, quizzes, and participation during lectures and discussions.
  4. Extracurricular Activities (optional): Up to 10 bonus points

    • Awarded for participation in activities such as group projects, presentations, or relevant research outside the classroom.

Session Outline

SessionDateOutlineAdditional Resources
121 BahmanLecture 1 (U)1-
223 BahmanLecture 1[ZIL]:17.1-17.8 & [KRE]: 13.1-13.7 & [ONE]: 19.1-19.5
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Projects:


Additional Information

Prerequisites

Students are expected to have a basic understanding of:

  • Calculus II
  • Differential Equations
  • Introductory programming (optional)

Policies

  1. Attendance is not mandatory but may influence your continuous evaluation score. Regular attendance is strongly recommended to stay on track with course material.
  2. Students are expected to arrive on time. Late arrivals may disrupt the class and could impact participation evaluation.
  3. Collaboration on assignments, exercises, and projects is encouraged. However, all submissions must reflect individual understanding and adhere to academic integrity policies. Plagiarism or copying will not be tolerated.

Announcements

This section will be updated throughout the semester with important information, including exam dates, assignment deadlines, schedule changes, and other updates. Please check regularly for the latest announcements.

  1. (U): Unfinished ↩︎

Seyed Sadjad Abedi-Shahri
Seyed Sadjad Abedi-Shahri
Assistant Professor of Biomedical Engineering

My research interests include Numerical Methods in Biomechanics, Scientific Computation, and Computational Geometry.