Courses | Scicho

BME Field Overview

Tue, 24 Feb 2026 00:00:00 +0000

Course Information

Course Title: BME Field Overview
Course Type: Practical (Skill & Employability)
Credits: 1
Total Hours: 32
Schedule: Sunday 10:00 - 12:00
Location: Class 43
Instructor: Seyed Sadjad Abedi-Shahri
- Email:
Lecture Materials: Provided via LMS.

Course Overview

This course familiarizes students with career paths in Biomedical Engineering and the technical and soft skills needed for related roles. It offers an overview of major subfields, common professional environments (industry, startups, healthcare, research centers), and includes talks/visits to connect classroom learning with real-world practice.

Learning Objectives

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

Describe major Biomedical Engineering areas (e.g., biomaterials, bioelectric, biomechanics, health technologies).
Identify common job roles and professional opportunities in the health ecosystem.
Explain how core undergraduate courses connect to practical skills and employability.
Gain introductory familiarity with key technical topics and typical tools/software used in the field.
Recognize essential professional and engineering ethics in healthcare-related work.

Syllabus

History of Biomedical Engineering; domains and specializations
Biomedical Engineering careers and job opportunities (including industry guests)
Undergraduate curriculum overview and the need for deep disciplinary understanding
Intro technical topics (signals, biomechanics equipment, orthotics/prosthetics/implants, biomaterials, tissue engineering, data analysis, etc.)
Types of health-related companies and businesses (startups, manufacturers, labs, tech centers)
Incubators, science & technology parks, and health-related research centers
Field visits related to Biomedical Engineering jobs (industry/health services/startups)
General and specialized software overview (e.g., MATLAB, LabVIEW, CATIA, ImageJ, OsiriX)
Professional ethics and engineering ethics in health applications

Evaluation Scheme

Class Activities + Assignments: 50%
- Attendance and participation
- Short reflections or assignments
Written Exam: 50%

Teaching & Learning Methods

A combination of instructor-led sessions, discussion-based learning, guest talks by industry professionals, and field visits.

Session Outline

Session	Date	Outline	Additional Resources
1	3 Esfand	History of Biomedical Engineering	-

Additional Information

Special requirements (if applicable): Scientific visits and seminars (as scheduled).
References: No fixed textbook; materials are provided during the course.

Impact Mechanics in Biomechanics

Wed, 24 Dec 2025 00:00:00 +0000

Course Information

Course Title: Impact Mechanics in Biomechanics
Course Code: 2014353-01
Credits: 3
Schedule: Monday 14:00-16:00 & Tuesday 14:00-16:00
Location: Class 30
Instructor: Seyed Sadjad Abedi-Shahri
- Email:
- Telegram: @Sad4Abd

Lecture Materials: Provided weekly in .

Course Overview

This course introduces advanced concepts in impact mechanics as applied to biomechanics, focusing on theoretical foundations and practical applications. Students will gain an understanding of impact phenomena in engineering and biomechanics, with hands-on experience using ABAQUS for dynamic explicit simulations of human anatomical structures under impact loads.

The course covers impact mechanics theory (including rigid body impacts, wave propagation, and deformation of bodies), and provides an introduction to computational tools, specifically ABAQUS, to model and simulate impact events on biological tissues such as bones and soft tissues.

Learning Objectives

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

Theoretical Foundations
- Understand core principles of impact mechanics.
- Apply impact mechanics to biomechanical problems, including rigid body impacts and material deformation under impact loads.
- Analyze the role of material properties in impact behavior.
Computational Modeling
- Use ABAQUS to develop and simulate impact models for human anatomical structures.
- Set up and analyze dynamic explicit simulations in ABAQUS.
- Implement material models, including failure criteria, for simulating biological tissues under impact.
Biomechanical Applications
- Apply theoretical and computational concepts to real-world biomechanical problems, such as simulating fractures or soft tissue injuries from impact events.
- Interpret simulation results to assess injury risks and mechanical behavior of biological systems.
Problem-Solving Skills
- Design impact scenarios with appropriate material properties, boundary conditions, and loading conditions in ABAQUS.
- Analyze the results from simulations, interpret the impact of different conditions, and generate technical reports.

Syllabus

Introduction to Impact Mechanics
- Overview of impact mechanics and its relevance to biomechanics.
- Basic principles of rigid body impacts and material deformation.
Theoretical Foundations of Impact Mechanics
- Impact of rigid bodies: Impulse-momentum and coefficient of restitution.
- Deformation under impact: One-dimensional and multi-dimensional impact mechanics.
- Wave propagation and stress analysis in deformable bodies.
Computational Impact Mechanics
- Introduction to computational methods for impact analysis.
- Overview of material models for dynamic analysis (elastic, plastic, viscoelastic).
- Introduction to ABAQUS: Setup and basics of dynamic explicit analysis.
ABAQUS Software Tutorial
- Modeling of basic impact problems using ABAQUS.
- Material modeling and dynamic loading conditions in impact simulations.
- Simulating human anatomical structures (bones, soft tissues) under impact.
Advanced Impact Simulation Techniques
- Fracture and failure modeling in ABAQUS.
- Handling large deformations and mesh refinement.
- Simulating impact events like trauma, falls, and accidents.

Software Tools

ABAQUS: Finite element analysis and dynamic explicit simulation.
3D Slicer (if applicable): Medical image processing and segmentation.
MeshMixer and CATIA (if applicable): Geometry modeling and improvement tools.

References

[RAO] Applied Impact Mechanics by C. Lakshmana Rao et. al.
[QIU] Introduction to Impact Dynamics by T.X. Yu and XinMing Qiu
[MEY] Dynamic Behavior of Materials by Marc Andre Meyers

Evaluation Scheme

Homeworks: 30%
Final Exam: 70%
- Theoretical exam on impact mechanics principles and computational methods.

Session Outline

Session	Date	Outline	Additional Resources
1	4 Esfand	Module 1 (U)¹	-
2	5 Esfand	Module 1 (U)¹	-

Additional Information

Prerequisites

Students are expected to have a basic understanding of:

Finite Element Methods in Biomechanics or similar introductory courses in computational biomechanics.

Policies

Regular attendance is recommended to stay on track with the course material.
Collaboration on assignments is encouraged, but all submissions must reflect individual understanding.
Late submissions will incur penalties unless prior arrangements are made.
Academic Integrity: Plagiarism or copying will not be tolerated.

(U): Unfinished ↩︎ ↩︎

Introduction to Biomedical Engineering - Biomechanics

Mon, 15 Sep 2025 00:00:00 +0000

Course Information

Course Title: Introduction to Biomedical Engineering - Biomechanics
Course Code: 2014170-02
Credits: 3
Schedule: Saturday 12:00–14:00 & Monday 16:00-18:00
Location: Class 32
Instructor: Seyed Sadjad Abedi-Shahri
- Email:

Course Overview

This course introduces the biomechanics of the cardiovascular system and the fundamentals of biomaterials. The first part covers blood flow mechanics, cardiac and vascular function, and simplified modeling of circulation. The second part introduces biomaterials, biocompatibility, and their applications in medical implants. The course provides biomedical engineering students with essential theoretical foundations and applied knowledge at the interface of physiology, mechanics, and materials.

Learning Objectives

Students completing this course will be able to:

Explain the mechanics of blood flow and the cardiovascular system.
Describe cardiac output, vascular resistance, compliance, and related pathologies.
Apply simplified hemodynamic models (resistance, compliance, inertance).
Identify major classes of biomaterials and evaluate their biocompatibility.
Recognize common biomedical implant applications and design considerations.

Syllabus

Cardiovascular Biomechanics:
Fundamentals of hemodynamics, cardiac cycle, vascular mechanics, blood rheology, vascular pathologies, and simplified cardiovascular models.
Biomaterials:
Introduction to biomaterials, biocompatibility and hemocompatibility, types of biomaterials, and their applications in implants.

References

[WAI] Applied Biofluid Mechanics by Lee Waite and Jerry Fine
[END] Introduction to Biomedical Engineering [3rd ed.] by John Enderle and Joseph Bronzino
[BRO] Biomedical Engineering Fundamentals [3rd ed.] by Joseph Bronzino

Evaluation Scheme

Final Exam: 80 points
Continuous Assessment: 20 points
Extracurricular Activities (optional): Up to 20 bonus points

Session Outline

Session	Date	Outline	Additional Resources
1	29 Shahrivar	Part 1	[WAI]: 1.2 and 1.4
2	5 Mehr	Part 2 (U)¹	-
3	7 Mehr	Part 2	[WAI]: 2.1-2.5 and 2.7-2.9
4	12 Mehr	Part 3	[WAI]: 4.1-4.3 and 4.5-4.6
5	14 Mehr	Part 4 (U)	-
6	21 Mehr	Part 4 (U)	-
7	26 Mehr	Part 4	[WAI]: 5.1-5.7
8	28 Mehr	Bonus Lecture (Computational Cardivascular Biomechanics)	-
9	24 Aban	Part 5 (U)	-
10	26 Aban	Part 5	Fundamentals of Biomaterials by Vasif Hasirci & Nesrin Hasirci: [Chapter 1] and Biomaterials Science by Buddy D. Ratner, et al.: [Introduction]

Part 1: Introduction and Fundamentals of Flow
- Fluid Characteristics
- Introduction to Pipe Flow
- Reynolds Number and Flow Types
- Poiseuille’s Law
Part 2: Cardiovascular Structure and Function
- Introduction to Cardiovascular System
- Functional Anatomy of Circulation
- Cardiac Muscle Structure and Function
- Heart Valves and Their Function
- Cardiac Cycle and Pressure-Volume Relationships
- Heart Sounds
- Factors Controlling Blood Pressure and Flow
Part 3: Hematology and Blood Rheology
- Introduction to Blood Rheology
- Elements and Characteristics of Blood
- Types of Fluids and Blood Viscosity
- Erythrocytes (Red Blood Cells)
- Leukocytes (White Blood Cells)
Part 4: Anatomy and Physiology of Blood Vessels
- Introduction
- General Structure of Arteries
- Types of Arteries
- Mechanics of Arterial Walls
- Compliance
- Pulse Wave Velocity and the Moens–Korteweg Equation
- Vascular Pathologies
Part 5: Introduction to Biomaterials
- Biomaterials Definition and Evolution
- Material Categories and Properties
- Biocompatibility
- Hemocompatibility
- Clinical Examples and Case Studies

Additional Information

Prerequisites

Principles of Medical Physics

Policies

Regular attendance is strongly recommended to stay on track with course material and acquire continuous evaluation score
Students are expected to arrive on time. Late arrivals may disrupt the class and could impact participation evaluation.
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.

(U): Unfinished ↩︎

Finite Element Method in Biomechanics

Wed, 10 Sep 2025 00:00:00 +0000

Course Information

Course Title: Special Topics 1 (Finite Element Methods in Biomechanics)
Course Code: 2014352-01
Credits: 3
Schedule: Saturday 12:00–14:00 & Monday 10:00-12:00
Location: Class 25 & Class 2
Instructor: Seyed Sadjad Abedi-Shahri
- Email:
- Telegram: @Sad4Abd

Lecture Materials: Provided weekly in .

Course Overview

This course introduces students to the finite element method (FEM) as applied to biomechanics problems. Students will learn both theoretical foundations and practical implementation of computational biomechanics using professional software tools. The course emphasizes hands-on experience with medical imaging data, geometric modeling, and finite element analysis of biological structures.

Learning Objectives

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

Theoretical Foundations
- Understand fundamental concepts of computational biomechanics
- Apply finite element method principles to biomechanical problems
- Comprehend the mathematical framework underlying FEM
Medical Imaging and Geometry
- Extract geometry from medical images using 3D Slicer software
- Perform segmentation of anatomical structures from medical imaging data
- Create and improve geometric models using CATIA and MeshMixer
Computational Modeling
- Develop finite element models in ABAQUS software
- Perform biomechanical simulations of various anatomical structures
- Analyze and interpret computational results
Problem-Solving Skills
- Apply FEM to real biomechanical problems
- Design simulation scenarios for different loading conditions
- Generate comprehensive technical reports

Syllabus

Introduction to Computational Biomechanics
- Necessity, importance, and future of computational biomechanics
- Overview of biomechanical modeling applications
Medical Imaging and Geometry Extraction
- Types of medical images and their applications
- Segmentation techniques using 3D Slicer software
- Geometry extraction from medical imaging data
Geometric Model Development and Improvement
- Creating geometric models using CATIA and MeshMixer
- Quality improvement techniques for geometric models
- Model preparation for finite element analysis
Introduction to Finite Element Method
- Theoretical foundations of FEM
- Basic equations and mathematical framework
- Fundamentals of discretization and numerical methods
Modeling with ABAQUS Software
- Introduction to ABAQUS environment
- Model setup and boundary conditions
- Material properties and loading scenarios
- Mesh generation and quality assessment
- Solution procedures and convergence

Software Tools

3D Slicer: Medical image processing and segmentation
MeshMixer: Mesh processing and improvement
CATIA: Geometric modeling and design
ABAQUS: Finite element analysis and simulation

References

Provided in Lecture Materials

Evaluation Scheme

Group Project: 60 points
- Project Phase 1 (10%): Due: 3rd week of Mehr
  - Topic selection
  - Anatomical and biomechanical review of chosen topic
  - Medical image acquisition
- Project Phase 2 (15%): Due: 4th week of Aban
  - Geometry extraction from medical images
  - Geometric model improvement
- Project Phase 3 (20%): Due: 2nd week of Azar
  - Model import into ABAQUS
  - Initial simulation setup
- Project Phase 4 (35%): Due: 2nd week of Dey
  - Main simulations based on different scenarios
  - Analysis of various loading conditions
- Final Project Report (20%): Due: 17th of Dey
  - Analysis results
  - Comprehensive report preparation
Exercises: 10 points
Final Exam: 30 points
Extracurricular Activities (optional): Up to 10 bonus points

Session Outline

Session	Date	Outline
1	31 Shahrivar	Course Introduction
2	5 Mehr	An Introduction to Computational Biomechanics
3	7 Mehr	An Introduction to Finite Element Method
4	14 Mehr	Medical Images in Computational Biomechanics
5	19 Mehr	3D-Slicer and MeshMixer
6	21 Mehr	CATIA
7	28 Mehr	FEM - Spring
8	26 Aban	FEM - Bar
9	27 Aban	FEM - Truss
10	1 Azar	FEM - ABAQUS 1
11	11 Azar	FEM - ABAQUS 2
12	15 Azar	FEM - ABAQUS 3
13	17 Azar	FEM - ABAQUS 4
14	18 Azar	FEM - ABAQUS 5
15	24 Azar	FEM - ABAQUS 6
16	25 Azar	FEM - ABAQUS 7
17	29 Azar	FEM - ABAQUS 8
18	1 Dey	FEM - ABAQUS 9
19	8 Dey	Review and Exercises

Additional Information

Prerequisites

Students are expected to have a basic understanding of:

Mechanics of Materials (Optional)

Policies

Regular attendance is strongly recommended to stay on track with course material.
Students are expected to arrive on time. Late arrivals may disrupt the class and could impact participation evaluation.
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.
Project phases have strict deadlines due to sequential dependencies. Late submissions may significantly impact final grades.

Fluid Mechanics

Wed, 10 Sep 2025 00:00:00 +0000

Course Information

Course Title: Fluid Mechanics
Course Code: 2014091-01
Credits: 3
Schedule: Saturday 16:00–18:00 & Sunday 16:00-18:00
Location: Class 32
Instructor: Seyed Sadjad Abedi-Shahri
- Email:

Lecture Materials: Provided weekly in LMS

Course Overview

This fluid mechanics course provides a comprehensive foundation in the principles of fluid mechanics. The course covers fundamental concepts from basic fluid properties to advanced flow analysis, including static fluid systems, flow kinematics and dynamics, viscous flow, and dimensional analysis. Students will develop both theoretical understanding and practical problem-solving skills essential for engineering applications in various fields including mechanical, civil, chemical, and biomedical engineering.

Learning Objectives

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

Fundamental Understanding
- Understand basic fluid properties and behavior in both static and dynamic systems
- Apply conservation principles (mass, momentum, energy) to fluid flow problems
- Analyze pressure distribution and forces in static fluid systems
Mathematical Analysis
- Apply differential and integral analysis methods to fluid flow problems
- Use dimensional analysis for scaling, similitude studies, and parameter reduction
- Solve viscous flow problems in pipes, channels, and external flow systems
Problem-Solving Skills
- Design and analyze fluid systems for engineering applications
- Select appropriate analysis methods for different flow regimes
- Apply engineering analysis to biomechanical problems

Syllabus

Introduction & Fundamental Concepts
Fluid Statics
Control Volume Analysis
Differential Analysis of Fluid Motion
Incompressible Inviscid Flow
Dimensional Analysis & Similitude
Internal Viscous Flow

Primary Textbook

[FOX] Introduction to Fluid Mechanics by Fox, McDonald, and Mitchell

Evaluation Scheme

Midterm Exam 1: 15 points
- Fundamental concepts, fluid statics, and control volume analysis
Midterm Exam 2: 15 points
- Differential analysis, inviscid flow, and dimensional analysis
Final Examination: 55 points
- Comprehensive exam covering all topics
Continuous Assessment: 15 points
Bonus Activities (optional): Up to 10 bonus points

Session Outline

Session	Date	Outline	Additional Resources
1	29 Shahrivar	Chapter 1	[FOX]: 1.1-1.6
2	30 Shahrivar	Chapter 2 (U)¹	-
3	5 Mehr	Chapter 2 (U)	-
4	6 Mehr	Chapter 2	[FOX]: 2.1-2.7
5	12 Mehr	Chapter 3 (U)	-
6	13 Mehr	Chapter 3 (U)	-
7	19 Mehr	Chapter 3	[FOX]: 3.1-3.5
8	20 Mehr	Chapter 4 (U)	-
9	26 Mehr	Chapter 4 (U)	-
10	27 Mehr	Chapter 4	[FOX]: 4.1-4.5
11	24 Aban	Exc. 2	-
12	25 Aban	Exc. 3	-
13	27 Aban	Exc. 3	-
14	1 Azar	Chapter 5 (U)	-
15	2 Azar	Chapter 5 (U)	-
16	8 Azar	Chapter 5	[FOX]: 5.1-5.4
17	9 Azar	Chapter 6 (U)	-
18	11 Azar	Exc. 4	-
19	15 Azar	Chapter 6	[FOX]: 6.1-6.3, 6.5, 6.7
20	16 Azar	Chapter 7 (U)	-
21	18 Azar	Chapter 7	[FOX]: 7.1-7.6
22	22 Azar	Midterm 1	-
23	23 Azar	Review	-
24	25 Azar	Exc. 5	-
25	30 Azar	Exc. 6	-
26	2 Dey	Exc. 7	-
27	6 Dey	Midterm 2	-
28	7 Dey	Chapter 8 (U)	-
29	9 Dey	Chapter 8	[FOX]: 8.1-8.3

Chapter 1: Introduction
- Scope of Fluid Mechanics
- Definition of Fluid
- Basic Equations
- Methods of Analysis
- Dimensions and Units
Chapter 2: Fundamental Concepts
- Fluid as a Continuum
- Velocity Fields
- Stress Fields
- Viscosity
- Surface Tension
- Description and Classification of Fluid Motion
Chapter 3: Fluid Statics
- The Basic Equation of Fluid Statics
- The Standard Atmosphere
- Pressure Variation in a Static Fluid
- Hydrostatic Force on Submerged Sufaces
Chapter 4: Basic Equations in Integral Form for a Control Volume
- Basic Laws for a System
- Relation of System Derivatives to the Control Volume Formulation
- Conservation of Mass
- Momentum Equation for Inertial Control Volume
- Momentum Equation for Control Volume with Rectilinear Acceleration
Chapter 5: Introduction to Differential Analysis of Fluid Motion
- Conservation of Mass
- Stream Function for Two-Dimensional Incompressible Flow
- Motion of a Fluid Particle (Kinematics)
- Momentum Equation
Chapter 6: Incompressible Inviscid Flow
- Momentum Equation for Frictionless Flow: Euler’s Equation
- Euler’s Equation in Streamline Coordinates
- Bernoulli Equation: Integration of Euler’s Equation Along a Streamline for Steady Flow
- Energy Grade Line and Hydraulic Grade Line
- Irrotational Flow
Chapter 7: Dimensional Analysis and Similitude
- Nondimensionalizing the Basic Differential Equations
- Nature of Dimensional Analysis
- Buckingham Pi Theorem
- Determining the $\Pi$ Groups
- Significant Dimensionless Groups in Fluid Mechanics
- Flow Similarity and Model Studies
Chapter 8: Internal Incompressible Viscous Flow
- Introduction
- Fully Developed Laminar Flow Between Infinite Parallel Plates
- Fully Developed Laminar Flow in a Pipe

Projects:

Additional Information

Prerequisites

Students are expected to have a basic understanding of:

Statics
Dynamics (Optional but strongly recommended)
Thermodynamics (Optional but strongly recommended)

Policies

Regular attendance is strongly recommended to stay on track with course material and acquire continuous evaluation score.
Students are expected to arrive on time. Late arrivals may disrupt the class and could impact participation evaluation.
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.

(U): Unfinished ↩︎

Trauma Biomechanics

Sat, 01 Mar 2025 00:00:00 +0000

Course Information

Course Title: Trauma Biomechanics
Course Code: 2014471-01
Credits: 3
Level: MSc
Class Schedule: Sunday 8:00-10:00 & Monday 14:00-16:00
Class Location: Class 30
Instructor: Seyed Sadjad Abedi-Shahri
- Email:
- Telegram: @Sad4Abd
Lecture Materials: Provided weekly via LMS

Course Overview

This course introduces the biomechanical principles underlying traumatic injuries of the human body under high-rate and impact loading. Emphasis is placed on injury mechanisms, injury criteria, and models used in trauma biomechanics, including numerical, experimental, analytical, and systems-level approaches.

The course adopts a model-driven and interpretation-focused philosophy, enabling students to analyze trauma problems. Students will engage with realistic injury scenarios drawn from automotive safety, sports, occupational accidents, and protective equipment design.

Learning Objectives

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

Explain major traumatic injury mechanisms across different anatomical regions
Interpret and apply commonly used injury criteria and injury metrics
Compare experimental, numerical, analytical, and systems-level models in trauma biomechanics
Critically evaluate trauma biomechanics studies and standards
Design and justify injury assessment or prevention strategies under real-world constraints
Communicate biomechanical reasoning clearly, including assumptions and limitations

Syllabus (Topics)

Module 1 - Foundations of Trauma Biomechanics
Module 2 - Methods in Trauma Biomechanics
Module 3 - Head and Brain Trauma
Module 4 - Spine and Thoracic Trauma
Module 5 - Abdomen and Extremities
Module 6 - Special Topics and Synthesis

References

Schmitt, K.U., Niederer, P.F., Cronin, D.S., Muser, M.H., Walz, F. Trauma Biomechanics: An Introduction to Injury Biomechanics, 5th ed.

Evaluation Scheme

Final Project: 50%
- Individual project, chosen from structured project cards
- Includes report and oral presentation
Final Exam: 50%
- Conceptual and interpretive questions

This course uses continuous assessment through a major project rather than frequent quizzes.

Project Structure

Each student selects one project from a curated set of project cards, organized into four equally valued pathways:

🟦 Numerical / Computational Modeling (FEM)
🟩 Experimental / Proof-of-Concept Design
🟨 Data-Driven / Analytical Modeling
🟥 Prevention, Design & Systems Thinking

All pathways:

Have comparable difficulty
Use pathway-specific grading rubrics
Are equally weighted in assessment

See the Project Cards document and the guide for details.

Project Timeline & Milestones

The course project is a semester-long individual project designed to support deep, mature engagement with trauma biomechanics.
Project assessment combines process-based milestones with final quality-based evaluation, and applies equally to all project pathways.

Overall Grading Context

Final Exam: 50% of course grade
Project (total): 50% of course grade

Important:
The detailed grading rubric provided in each Project Card is applied only to the final written report and oral presentation.
Early milestones are assessed using simplified criteria focused on progress, clarity, and appropriate scope.

Week 1-2 | Project Orientation

Introduction to project pathways and expectations
Release of:
- Project Cards (all projects)
- “How to Choose Your Project Pathway” guide
Discussion of grading philosophy and examples

📌 No graded deliverables

Week 3 | Project Selection

Students review all project cards
Each student submits:
- Ranked list of three preferred projects
- Brief justification (2-3 sentences per choice)

📌 Instructor confirms project assignments
📌 Not graded

Week 4 | Project Proposal (Milestone 1)

Deliverable: Short written proposal (2-3 pages)

Must include:

Selected project card and pathway
Problem statement and objectives
Planned approach and scope
Key assumptions and anticipated challenges

Assessment focus:

Clarity of problem definition
Appropriate project scope
Feasibility of the proposed approach

📊 Weight: 5% of course grade

Week 6-7 | Mid-Project Review (Milestone 2)

Deliverable: Progress review (written summary or oral meeting)

Should cover:

Work completed to date
Preliminary analysis, design, or concepts
Identified difficulties or limitations
Revised plan if needed

Assessment focus:

Evidence of meaningful progress
Quality of reasoning and engagement
Awareness of limitations and challenges

📊 Weight: 10% of course grade

Week 11-12 | Draft Check (Optional, Not Graded)

Informal submission of:
- report outline,
- preliminary figures or concepts,
- early results or designs
Feedback provided by the instructor

📌 Strongly recommended but not graded

Final Week | Final Submission & Presentation (Milestone 3)

Final Written Report

Length: 20-25 pages (excluding appendices)
Evaluated using the Project Card grading rubric

📊 Weight: 25% of course grade

Oral Presentation & Discussion

Duration: 15-20 minutes + discussion
Evaluated using presentation-related criteria from the Project Card rubric

📊 Weight: 10% of course grade

Summary of Project Assessment

Component	Course Weight	Evaluation Method
Project Proposal	5%	Milestone criteria (scope, clarity, feasibility)
Mid-Project Review	10%	Progress and reasoning
Final Written Report	25%	Project Card rubric
Oral Presentation	10%	Project Card rubric
Total Project Weight	50%

General Notes

All milestones apply equally to all project pathways
Projects are individual by default
Final project quality is evaluated using pathway-specific rubrics
Early milestones are designed to support learning, not penalize exploration

A successful project is one that is well-scoped, well-argued, and intellectually honest.

Session Outline

Session	Date	Outline	Additional Resources
1	3 Esfand	Module 1 (U)¹	-

Policies

Attendance is recommended but not mandatory.
Active participation in discussions is encouraged.
Collaboration in discussion is allowed; all submitted work must be individual.
Academic integrity is strictly enforced. Plagiarism or misrepresentation will not be tolerated.

(U): Unfinished ↩︎

Dynamics

Tue, 12 Nov 2024 00:00:00 +0000

Course Information

Course Title: Dynamics
Course Code: 2014054
Credits: 3
Class Schedule:
- Days: Sunday, Thuesday
- Time: 14:00-16:00
Class Location: Class 9, Class 32
Instructor: Seyed Sadjad Abedi-Shahri
- Email:
- Office Hours:

Lecture Materials: Provided weekly in .

Course Overview

This course introduces the fundamental principles of dynamics, focusing on the theoretical aspects of particle and rigid body motion, force analysis, and energy methods, and their relevance to human movement and biomechanical systems. While the course primarily addresses traditional dynamics concepts, occasional examples related to human body mechanics will also be provided.

Learning Objectives

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

Understand and apply the principles of kinematics and kinetics for particles and rigid bodies.
Use work-energy and impulse-momentum methods for solving dynamic problems.
Analyze three-dimensional motion and dynamics of rigid bodies.
Relate classical mechanics principles to biomechanics applications such as human motion analysis.

Syllabus

Kinematics of a Particle
Kinetics of a Particle: Force and Acceleration
Kinetics of a Particle: Work and Energy
Kinetics of a Particle: Impulse and Momentum
Planar Kinematics of a Rigid Body
Planar Kinetics of a Rigid Body: Force and Acceleration
Planar Kinetics of a Rigid Body: Work and Energy
Planar Kinetics of a Rigid Body: Impulse and Momentum
Three-Dimensional Kinematics and Kinetics of a Rigid Body
Related Topics in Biomechanics

References

[HIB] Engineering Mechanics: Dynamics [14th ed.] by Russell C. Hibbeler
[MER] Engineering Mechanics: Dynamics [6th ed.] by J.L. Meriam and L. Kraige
[PYT] Engineering Mechanics: Dynamics [3rd ed.] by Andrew Pytel and Jaan Kiusalaas
[OZK] Fundamentals of Biomechanics [4th ed.] by Nihat Özkaya, David Goldsheyder, and Margareta Nordin
[TOZ] Human Body Dynamics: Classical Mechanics and Human Movement by Aydin Tozeren

Evaluation Scheme

Midterm Evaluation: 35 points
- Covers Chapters 1-4.
Final Evaluation: 50 points
- Covers all remaining chapters.
Continuous Evaluation: 15 points
- Based on exercises, quizzes, and participation during lectures and discussions.
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

Session	Date	Outline	Additional Resources
1	21 Bahman	Lecture 1 (U)¹	-
2	23 Bahman	Lecture 1 + Lecture 2 (U)	[HIB]:12.1-12.3 & [MER]: 2.1-2.2
3	28 Bahman	Lecture 2	[HIB]:12.4-12.7 & [MER]: 2.3-2.5
4	30 Bahman	Lecture 3	[HIB]:12.8-12.10 & [MER]: 2.6-2.9
5	5 Esfand	Lecture 4 (U)	-
6	12 Esfand	Lecture 4 + Lecture 5 (U)	[HIB]:13.1-13.6 & [MER]: 3.1-3.5, 4.1-4.2
7	14 Esfand	Lecture 5 (U)	-
8	19 Esfand	Lecture 5 + Exc. 1	[HIB]:14.1-14.6 & [MER]: 3.6-3.7, 4.3
9	21 Esfand	Exc. 2 + Exc. 3	-
10	17 Farvardin	Lecture 6 (U)	-
11	19 Farvardin	Lecture 6 + Lecture 7 (U)	[HIB]:15.1-15.4 & [MER]: 3.9, 3.12
12	24 Farvardin	Lecture 7 + Review	[HIB]:15.5-15.8 & [MER]: 3.10, 4.4-4.6
13	26 Fravardin	Exc. 4 + Exc. 5	-
14	31 Farvardin	Lecture 8 (U)	-
15	2 Ordibehesht	Lecture 8 + Lecture 9 (U)	[HIB]:16.1-16.4 & [MER]: 5.1-5.3
16	7 Ordibehesht	Lecture 9 + Lecture 10 (U)	[HIB]:16.5-16.6 & [MER]: 5.4-5.5
17	9 Ordibehesht	Lecture 10	[HIB]:16.7-16.8 & [MER]: 5.6-5.7
18	14 Ordibehesht	Exc. 6	-
19	16 Ordibehesht	Exc. 6 + Exc. 7	-
20	21 Ordibehesht	Lecture 11 (U)	-
21	23 Ordibehesht	Midterm Exam	-
22	28 Ordibehesht	Lecture 11	[HIB]:17.1-17.3 & [MER]: 6.1-6.3
23	30 Ordibehesht	Lecture 12	[HIB]:17.4-17.5 & [MER]: 6.4-6.5
24	4 Khordad	Lecture 13	[HIB]:18.1-18.5 & [MER]: 6.6-6.7
25	6 Khordad	Lecture 14	[HIB]:19.1-19.3 & [MER]: 6.8
26	11 Khordad	Exc. 8 + Exc. 9	-

Lecture 1: Kinematics of a Particle - Part 1
- Introduction
- Rectilinear Kinematics: Continuous Motion
- Rectilinear Kinematics: Erratic Motion
Lecture 2: Kinematics of a Particle - Part 2
- General Curvilinear Motion
- Curvilinear Motion: Rectangular Components
- Motion of a Projectile
- Curvilinear Motion: Normal and Tangential Components
Lecture 3: Kinematics of a Particle - Part 3
- Curvilinear Motion: Cylindrical Components
- Absolute Dependent Motion Analysis of Two Particles
- Relative-Motion of Two Particles Using Translating Axes
Lecture 4: Kinetics of a Particle: Force and Acceleration
- Newton’s Second Law of Motion
- The Equation of Motion
- Equation of Motion for a System of Particles
- Equations of Motion: Rectangular Coordinates
- Equations of Motion: Normal and Tangential Coordinates
- Equations of Motion: Cylindrical Coordinates
Lecture 5: Kinetics of a Particle: Work and Energy
- The Work of a Force
- Principle of Work and Energy
- Principle of Work and Energy for a System of Particles
- Power and Efficiency
- Conservative Forces and Potential Energy
- Conservation of Energy
Lecture 6: Kinetics of a Particle: Linear Impulse and Momentum
- Principle of Linear Impulse and Momentum
- Principle of Linear Impulse and Momentum for a System of Particles
- Conservation of Linear Momentum for a System of Particles
- Impact
Lecture 7: Kinetics of a Particle: Angular Impulse and Momentum
- Angular Momentum
- Relation Between Moment of a Force and Angular Momentum
- Principle of Angular Impulse and Momentum
- Steady Flow of a Fluid Stream
Lecture 8: Planar Kinematics of a Rigid Body - Part 1
- Planar Rigid-Body Motion
- Translation
- Rotation about a Fixed Axis
- Absolute Motion Analysis
Lecture 9: Planar Kinematics of a Rigid Body - Part 2
- Relative-Motion Analysis: Velocity
- Instantaneous Center of Zero Velocity
Lecture 10: Planar Kinematics of a Rigid Body - Part 3
- Relative-Motion Analysis: Acceleration
- Relative-Motion Analysis Using Rotating Axes
Lecture 11: Planar Kinetics of a Rigid Body: Force and Acceleration - Part 1
- Mass Moment of Inertia
- Planar Kinetic Equations of Motion
- Equations of Motion: Translation
Lecture 12: Planar Kinetics of a Rigid Body: Force and Acceleration - Part 2
- Equations of Motion: Rotation about a Fixed Axis
- Equations of Motion: General Plane Motion
Lecture 13: Planar Kinetics of a Rigid Body: Work and Energy
- Kinetic Energy
- The Work of a Force
- The Work of a Couple Moment
- Principle of Work and Energy
- Conservation of Energy
Lecture 14: Planar Kinetics of a Rigid Body: Impulse and Momentum
- Linear and Angular Momentum
- Principle of Impulse and Momentum
- Conservation of Momentum

Additional Information

Prerequisites

Students are expected to have a basic understanding of:

Calculus II
Statics

Policies

Attendance is not mandatory but may influence your continuous evaluation score. Regular attendance is strongly recommended to stay on track with course material.
Students are expected to arrive on time. Late arrivals may disrupt the class and could impact participation evaluation.
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

The midterm will be held on 13 May 2025 (23 Ordibehesht 1404) from 14:00 to 16:00. Don’t forget to bring a formula sheet and engineering calculator.

(U): Unfinished ↩︎

Engineering Mathematics

Tue, 12 Nov 2024 00:00:00 +0000

Course Information

Course Title: Engineering Mathematics
Course Code: 2014197-01
Credits: 3
Schedule: Saturday 10:00-12:00 & Tuesday 10:00-12:00
Location: Class 39 & Class 2
Instructor: Seyed Sadjad Abedi-Shahri
- Email:

Lecture Materials: Provided weekly in .

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:

Complex Analysis
- Manipulate complex functions and understand their properties
- Apply complex integration techniques
- Use conformal mapping and residue theorem to solve engineering problems
Fourier Analysis
- Understand and apply Fourier series and transforms
- Solve engineering problems using Fourier techniques
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

Complex Analysis
Fourier Analysis
Partial Differential Equations

References

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

Evaluation Scheme

Midterm Evaluation: 30 points
- Complex Analysis
Final Evaluation: 55 points
- Fourier Analysis + Partial Differential Equations
Continuous Evaluation: 15 points
- Based on exercises, quizzes, and participation during lectures and discussions.
Extracurricular Activities (optional): Up to 10 bonus points
- Awarded for participation in activities such as group , presentations, or relevant research outside the classroom.

Session Outline

Session	Date	Outline	Additional Resources
1	5 Esfand	Lecture 1 (U)¹	-

Projects:

Additional Information

Prerequisites

Students are expected to have a basic understanding of:

Calculus II
Differential Equations
Introductory programming (optional)

Policies

Regular attendance is strongly recommended to stay on track with course material and acquire continuous evaluation score
Students are expected to arrive on time. Late arrivals may disrupt the class and could impact participation evaluation.
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 tolerat

(U): Unfinished ↩︎

Engineering Mathematics

Tue, 12 Nov 2024 00:00:00 +0000

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
- Email:
- Office Hours:

Lecture Materials: Provided weekly in .

Course Overview

Learning Objectives

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

Complex Analysis
- Manipulate complex functions and understand their properties
- Apply complex integration techniques
- Use conformal mapping and residue theorem to solve engineering problems
Fourier Analysis
- Understand and apply Fourier series and transforms
- Solve engineering problems using Fourier techniques
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

Complex Analysis
Fourier Analysis
Partial Differential Equations

References

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

Evaluation Scheme

Midterm Evaluation: 25 points
- Complex Analysis
Final Evaluation: 60 points
- Fourier Analysis + Partial Differential Equations
Continuous Evaluation: 15 points
- Based on exercises, quizzes, and participation during lectures and discussions.
Extracurricular Activities (optional): Up to 10 bonus points
- Awarded for participation in activities such as group , presentations, or relevant research outside the classroom.

Session Outline

Session	Date	Outline	Additional Resources
1	21 Bahman	Lecture 1 (U)¹	-
2	23 Bahman	Lecture 1	[ZIL]:17.1-17.8 & [KRE]: 13.1-13.7 & [ONE]: 19.1-19.5
3	28 Bahman	Lecture 2 (U)	-
4	30 Bahman	Lecture 2 + Lecture 3 (U)	[ZIL]:18.1-18.4 & [KRE]: 14.1-14.4 & [ONE]: 20.1-20.3
5	5 Esfand	Lecture 3	[ZIL]:19.1-19.3 & [KRE]: 15.1-15.5, 16.1 & [ONE]: 21.1-21.2
6	12 Esfand	Lecture 4	[ZIL]:19.4-19.6 & [KRE]: 16.2-16.4 & [ONE]: 22.1-22.3
7	14 Esfand	Lecture 5 (U)	-
8	19 Esfand	Lecture 5	[ZIL]:20.1-20.3 & [KRE]: 17.1-17.4 & [ONE]: 23.1-23.2
9	21 Esfand	Exc. 1 + Exc. 2	-
10	17 Farvardin	Lecture 6 (U)	-
11	19 Farvardin	Lecture 6	[ZIL]:12.1-12.4 & [KRE]: 11.1-11.5 & [ONE]: 13.1-13.6
12	24 Farvardin	Exc. 3	-
13	26 Farvardin	Exc. 4 + Exc. 5	-
14	31 Farvardin	Lecture 7 (U)	-
15	2 Ordibehesht	Midterm Exam	-
16	7 Ordibehesht	Lecture 7	[ZIL]:13.1-13.2 & [KRE]: 12.1-12.2
17	9 Ordibehesht	Lecture 8 (U)	-
18	14 Ordibehesht	Lecture 8 + Exc. 6	[ZIL]:13.3-13.5 & [KRE]: 12.3-12.5
19	16 Ordibehesht	Exc. 6 + Lecture 9 (U)	-
20	21 Ordibehesht	Lecture 9 (U)	-
21	23 Ordibehesht	Lecture 9	[ZIL]:13.6-13.8 & [KRE]: 12.7-12.8
22	28 Ordibehesht	Lecture 10 (U)	-
23	30 Ordibehesht	Lecture 10	[ZIL]:15.1-15.4 & [KRE]: 11.7-11.9 , 12.6, 12.11
24	4 Khordad	Exc. 7	-
25	6 Khordad	Exc. 7 + Exc. 8	-
26	11 Khordad	Exc. 8	-
27	13 Khordad	Exc. 9	-

Module 1: Complex Analysis
- Lecture 1: Complex Numbers and Functions
  - Complex Numbers
  - Powers and Roots
  - Sets in the Complex Plane
  - Functions of a Complex Variable
  - Cauchy–Riemann Equations
  - Exponential and Logarithmic Functions
  - Trigonometric and Hyperbolic Functions
  - Inverse Trigonometric and Hyperbolic Functions
- Lecture 2: Complex Integration
  - Contour Integrals
  - Cauchy–Goursat Theorem
  - Independence of the Path
  - Cauchy’s Integral Formulas
- Lecture 3: Series
  - Sequences and Series
  - Taylor Series
  - Laurent Series
- Lecture 4: Residues
  - Zeros and Poles
  - Residues and Residue Theorem
  - Evaluation of Real Integrals
- Lecture 5: Conformal Mappings
  - Complex Functions as Mappings
  - Conformal Mappings
  - Linear Fractional Transformations
Module 2: Partial Differential Equations
- Lecture 6: Orthogonal Functions and Fourier Series
  - Orthogonal Functions
  - Fourier Series
  - Fourier Cosine and Sine Series
  - Complex Fourier Series
- Lecture 7: Boundary-Value Problems in Rectangular Coordinates - Part 1
  - Separable Partial Differential Equations
  - Classical PDEs and Boundary-Value Problems
- Lecture 8: Boundary-Value Problems in Rectangular Coordinates - Part 2
  - Heat Equation
  - Wave Equation
  - Laplace Equation
- Lecture 9: Boundary-Value Problems in Rectangular Coordinates - Part 3
  - Nonhomogeneous Boundary-Value Problems
  - Orthogonal Series Expansions
  - Fourier Series in Two Variables
- Lecture 10: Integral Transform Method
  - Error Function
  - Applications of the Laplace Transform
  - Fourier Integral
  - Fourier Transforms

Projects:

Additional Information

Prerequisites

Students are expected to have a basic understanding of:

Calculus II
Differential Equations
Introductory programming (optional)

Policies

Attendance is not mandatory but may influence your continuous evaluation score. Regular attendance is strongly recommended to stay on track with course material.
Students are expected to arrive on time. Late arrivals may disrupt the class and could impact participation evaluation.
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

The midterm will be held on 22 Apr 2025 (2 Ordibehesht 1404) from 08:00 to 10:00. Don’t forget to bring an engineering calculator.

(U): Unfinished ↩︎

Engineering Mathematics

Tue, 12 Nov 2024 00:00:00 +0000

Course Information

Course Title: Engineering Mathematics
Course Code: 2014197-01
Credits: 3
Schedule: Sunday 10:00–12:00 & Monday 14:00-16:00
Location: Class 1 & Class 9
Instructor: Seyed Sadjad Abedi-Shahri
- Email:

Lecture Materials: Provided weekly in .

Course Overview

Learning Objectives

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

Complex Analysis
- Manipulate complex functions and understand their properties
- Apply complex integration techniques
- Use conformal mapping and residue theorem to solve engineering problems
Fourier Analysis
- Understand and apply Fourier series and transforms
- Solve engineering problems using Fourier techniques
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

Complex Analysis
Fourier Analysis
Partial Differential Equations

References

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

Evaluation Scheme

Midterm Evaluation: 30 points
- Complex Analysis
Final Evaluation: 55 points
- Fourier Analysis + Partial Differential Equations
Continuous Evaluation: 15 points
- Based on exercises, quizzes, and participation during lectures and discussions.
Extracurricular Activities (optional): Up to 10 bonus points
- Awarded for participation in activities such as group , presentations, or relevant research outside the classroom.

Session Outline

Session	Date	Outline	Additional Resources
1	30 Shahrivar	Lecture 1 (U)¹	-
2	31 Shahrivar	Lecture 1	[ZIL]:17.1-17.8 & [KRE]: 13.1-13.7 & [ONE]: 19.1-19.5
3	6 Mehr	Lecture 2 (U)	-
4	7 Mehr	Lecture 2	[ZIL]:18.1-18.4 & [KRE]: 14.1-14.4 & [ONE]: 20.1-20.3
5	13 Mehr	Lecture 3 (U)	-
6	14 Mehr	Lecture 3	[ZIL]:19.4-19.6 & [KRE]: 16.2-16.4 & [ONE]: 22.1-22.3
7	20 Mehr	Lecture 4 (U)	-
8	21 Mehr	Lecture 4 + Lecture 5 (U)	[ZIL]:19.4-19.6 & [KRE]: 16.2-16.4 & [ONE]: 22.1-22.3
9	27 Mehr	Lecture 5	[ZIL]:20.1-20.3 & [KRE]: 17.1-17.4 & [ONE]: 23.1-23.2
10	28 Mehr	Ex. 1 + Ex. 2	-
11	25 Aban	Ex. 2 + Ex. 3	-
12	26 Aban	Ex. 4	-
13	27 Aban	Ex. 5	-
14	2 Azar	Lecture 6 (U)	-
15	9 Azar	Lecture 6	[ZIL]:12.1-12.4 & [KRE]: 11.1-11.5 & [ONE]: 13.1-13.6
16	10 Azar	Lecture 7	[ZIL]:13.1-13.2 & [KRE]: 12.1-12.2
17	11 Azar	Lecture 8 (U)	-
18	16 Azar	Lecture 8	[ZIL]:13.3-13.5 & [KRE]: 12.3-12.5
19	17 Azar	Lecture 9(U)	-
20	18 Azar	Lecture 9	[ZIL]:13.6-13.8 & [KRE]: 12.7-12.8
21	23 Azar	Lecture 10 (U)	-
22	24 Azar	Midterm	-
23	25 Azar	Lecture 10	[ZIL]:15.1-15.4 & [KRE]: 11.7-11.9 , 12.6, 12.11
24	30 Azar	Exc. 6	-
25	1 Dey	Exc. 7	-
26	2 Dey	Exc. 8	-
27	7 Dey	Exc. 8 + Exc. 9	-
28	8 Dey	Exc. 9	-

Module 1: Complex Analysis
- Lecture 1: Complex Numbers and Functions
  - Complex Numbers
  - Powers and Roots
  - Sets in the Complex Plane
  - Functions of a Complex Variable
  - Cauchy–Riemann Equations
  - Exponential and Logarithmic Functions
  - Trigonometric and Hyperbolic Functions
  - Inverse Trigonometric and Hyperbolic Functions
- Lecture 2: Complex Integration
  - Contour Integrals
  - Cauchy–Goursat Theorem
  - Independence of the Path
  - Cauchy’s Integral Formulas
- Lecture 3: Series
  - Sequences and Series
  - Taylor Series
  - Laurent Series
- Lecture 4: Residues
  - Zeros and Poles
  - Residues and Residue Theorem
  - Evaluation of Real Integrals
- Lecture 5: Conformal Mappings
  - Complex Functions as Mappings
  - Conformal Mappings
  - Linear Fractional Transformations
Module 2: Partial Differential Equations
- Lecture 6: Orthogonal Functions and Fourier Series
  - Orthogonal Functions
  - Fourier Series
  - Fourier Cosine and Sine Series
  - Complex Fourier Series
- Lecture 7: Boundary-Value Problems in Rectangular Coordinates - Part 1
  - Separable Partial Differential Equations
  - Classical PDEs and Boundary-Value Problems
- Lecture 8: Boundary-Value Problems in Rectangular Coordinates - Part 2
  - Heat Equation
  - Wave Equation
  - Laplace Equation
- Lecture 9: Boundary-Value Problems in Rectangular Coordinates - Part 3
  - Nonhomogeneous Boundary-Value Problems
  - Orthogonal Series Expansions
  - Fourier Series in Two Variables
- Lecture 10: Integral Transform Method
  - Error Function
  - Applications of the Laplace Transform
  - Fourier Integral
  - Fourier Transforms

Projects:

Additional Information

Prerequisites

Students are expected to have a basic understanding of:

Calculus II
Differential Equations
Introductory programming (optional)

Policies

Regular attendance is strongly recommended to stay on track with course material and acquire continuous evaluation score
Students are expected to arrive on time. Late arrivals may disrupt the class and could impact participation evaluation.
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 tolerat

(U): Unfinished ↩︎

Heat and Mass Transfer

Tue, 12 Nov 2024 00:00:00 +0000

Course Information

Course Title: Heat and Mass Transfer
Course Code: 2014368
Credits: 3
Class Schedule:
- Days: Monday, Tuesday
- Time: 10:00-12:00
Class Location: Class 2, Class 30
Instructor: Seyed Sadjad Abedi-Shahri
- Email:
- Office Hours:

Lecture Materials: Provided weekly in .

Course Overview

A foundational engineering course covering heat and mass transfer principles, mechanisms, and applications. The course progresses systematically through conduction, convection, and mass transfer, incorporating selected biomedical examples to demonstrate real-world applications in biological systems.

Learning Objectives

Apply fundamental principles of heat and mass transfer
Solve steady-state and transient conduction problems in multiple dimensions
Analyze forced convection in external and internal flows
Evaluate natural convection scenarios
Derive and solve governing equations for transport phenomena
Use analytical and numerical methods for heat transfer problems
Apply heat and mass transfer principles to (bio)engineering design problems

Syllabus

Introduction to Heat Transfer
Introduction to Conduction
Steady-State Conduction
Transient Conduction
Introduction to Convection
External Flow Convection
Internal Flow Convection
Mass Transfer

References

[BER] Fundamentals of Heat and Mass Transfer [8th ed.] by Theodore L. Bergman, Adrienne S. Lavine
[CEN] Heat and Mass Transfer, Fundamentals & Applications [6th ed.] by Yunus A. Cengel, Afshin J. Ghajar
[DAT] Heat and Mass Transfer, A Biological Context [2nd ed.] by Ashim K. Datta

Evaluation Scheme

Midterm Evaluation: 40 points
- Modules 1 to 4
Final Evaluation: 45 points
- Modules 5 to 9
Continuous Evaluation: 15 points
- Based on exercises, quizzes, and participation during lectures and discussions.
Extracurricular Activities (optional): Up to 10 bonus points
- Awarded for participation in activities such as group , presentations, or relevant research outside the classroom.

Session Outline

Session	Date	Outline	Additional Resources
1	23 Bahman	Lecture 1	[BER]: 1.1-1.7 & [CEN]: 1.1-1.15 & [DAT]: 1.1-1.9, 2.1-2.7
2	29 Bahman	Lecture 2	[BER]: 2.1-2.4 & [CEN]: 2.1-2.4 & [DAT]: 3.1-3.10
3	30 Bahman	Lecture 3 (U)¹	-
4	13 Esfand	Lecture 3 + Lecture 4 (U)	[BER]: 3.1-3.5 & [CEN]: 2.5-2.7, 3.1-3.5 & [DAT]: 4.1-4.4
5	14 Esfand	Lecture 4	[BER]: 3.6-3.7.1 & [CEN]: 3.6-3.7 & [DAT]: 4.5-4.8
6	20 Esfand	Lecture 5 (U)	-
7	21 Esfand	Lecture 5	[BER]: 4.1-4.6 & [CEN]: 3.8, 5.1-5.4
8	18 Farvardin	Lecture 6	[BER]: 5.1-5.3 & [CEN]: 4.1 & [DAT]: 5.1-5.2
9	19 Farvardin	Exc. 1 + Exc. 2 + Exc. 3	-
10	25 Farvardin	Lecture 7 (U)	-
11	26 Farvardin	Lecture 7	[BER]: 5.4-5.7, 5.10 & [CEN]: 4.2-4.3, 5.5 & [DAT]: 5.3-5.5
12	1 Ordibehesht	Exc. 4 + Exc. 5	-
13	2 Ordibehesht	Lecture 8	[CEN]: 6.1-6.5
14	8 Ordibehesh	Lecture 9 (U)	-
15	9 Ordibehesht	Lecture 9	[CEN]: 6.6-6.11
16	15 Ordibehesht	Exc. 6	-
17	16 Ordibehesht	Lecture 10 (U)	-
18	20 Ordibehesht	Exc. 7	-
19	22 Ordibehesht	Lecture 10	[CEN]: 7.1-7.3
20	23 Ordibehesht	Lecture 11 (U)	-
21	29 Ordibehesht	Lecture 11	[CEN]: 8.1-8.6
22	30 Ordibehesht	Lecture 12 (U)	-
23	5 Khordad	Review	-
24	6 Khordad	Midterm Exam	-
24	12 Khordad	Lecture 12	[CEN]: 14.1-14.5

Module 1: Introduction to Heat Transfer
- Lecture 1: Introduction to Heat Transfer
  - What is heat transfer?
  - Physical Origins and Rate Equations
  - Review of Thermodynamics
Module 2: Introduction to Conduction
- Lecture 2: Introduction to Conduction
  - The Conduction Rate Equation
  - The Thermal Properties of Matter
  - The Heat Diffusion Equation
  - Boundary and Initial Conditions
Module 3: Steady-State Conduction
- Lecture 3: One-Dimensional Conduction
  - The Plane Wall
  - An Alternative Conduction Analysis
  - Radial Systems
  - Conduction with Thermal Energy Generation
- Lecture 4: Applications of One-Dimensional, Steady-State Conduction
  - Heat Transfer from Extended Surfaces
  - The Bioheat Equation
- Lecture 5: Two-Dimensional Conduction
  - General Considerations and Solution Techniques
  - The Method of Separation of Variables
  - The Conduction Shape Factor and the Dimensionless Conduction Heat Rate
  - Finite-Difference Equations
Module 4: Transient Conduction
- Lecture 6: Lumped Systems
  - The Lumped Capacitance Method
  - Validity of the Lumped Capacitance Method
  - General Lumped Capacitance Analysis
- Lecture 7: Finite and Semi-Infinite Solids
  - Spatial Effects
  - The Plane Wall with Convection
  - Radial Systems with Convection
  - The Semi-Infinite Solid
  - Finite-Difference Methods
Module 5: Introduction to Convection
- Lecture 8: Physical Mechanism
  - Physical Mechanism of Convection
  - Classification of Fluid Flows
  - Velocity Boundary Layer
  - Thermal Boundary Layer
  - Laminar and Turbulent Flows
- Lecture 9: Governing Equations
  - Derivation of Differential Convection Equations
  - Solutions of Convection Equations for a Flat Plate
  - Nondimensionalized Convection Equations and Similarity
  - Functional Forms of Friction and Convection Coefficients
  - Analogies Between Momentum and Heat Transfer
Module 6: External Flow Convection
- Lecture 10: External Flow Convection
  - Drag and Heat Transfer in External Flow
  - Parallel Flow Over Flat Plates
  - Flow Across Cylinders and Spheres
Module 7: Internal Flow Convection
- Lecture 11: Internal Flow Convection
  - Average Velocity and Temperature
  - The Entrance Region
  - General Thermal Analysis
  - Laminar Flow in Tubes
  - Turbulent Flow in Tubes
Module 8: Mass Transfer
- Lecture 12: Mass Diffusion
  - Analogy Between Heat and Mass Transfer
  - Mass Diffusion
  - Boundary Conditions
  - Steady Mass Diffusion Through a Wall

Projects:

Additional Information

Prerequisites

Students are expected to have a basic understanding of:

Engineering Mathematics
Thermodynamics
Fluid Mechanics

Policies

Attendance is not mandatory but may influence your continuous evaluation score. Regular attendance is strongly recommended to stay on track with course material.
Students are expected to arrive on time. Late arrivals may disrupt the class and could impact participation evaluation.
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

The midterm will be held on 12 May 2025 (22 Ordibehesht 1404) from 08:00 to 10:00. Don’t forget to bring an engineering calculator.

(U): Unfinished ↩︎