Thursday, 12 September 2024

How to Pass the FE Exam on Your First Try

How to Pass the FE Exam on Your First Try
A crucial first step to becoming a licensed Professional Engineer (PE) in the United States is to pass the Fundamentals of Engineering (FE) exam and receive your Engineer in Training (EIT) certification. As someone who has successfully accomplished the first milestone, allow me to provide my personal strategies on how to adequately prepare and set yourself up for success.
Understanding the FE Exam Structure
First things first, let us familiarize ourselves with the structure of the FE; the exam is a 6-hour long computer-based test, organized into 5 major knowledge areas - mathematics, engineering economics, ethics, probability & statistics, engineering sciences, and the specific engineering discipline of your choice. Composed of 110 multiple-choice questions in total, with the exact breakdown of topics varying slightly for each specific engineering discipline. For example, the Chemical FE exam places more emphasis on material science and thermodynamics, while the Civil FE exam focuses more on structural analysis and construction. Keep this in mind when creating your study plan.
Creating a Winning Study Strategy
Now we know how the exam will be structured, step one is to start preparing early - at least 2-3 months in advance if possible. Don't wait until the last minute to start studying. For example, if you plan on taking the FE exam in mid-April, you should begin studying in early January. Obtain the official FE Reference Handbook from the NCEES website and spend time familiarizing yourself with the equations, tables, and graphs provided. This reference handbook is the single approved material you are allowed to use during the actual exam, so it is vital to know the contents well. You should also purchase an FE exam prep book that contains sample questions and practice exams. I recommend an NCEES practice exam and prep books from proven exam prep providers like School of PE.
Your First Month
In your first month of studying, focus on thoroughly reviewing the reference handbook, refreshing yourself on mathematical concepts like calculus and linear algebra, and taking an initial practice exam to benchmark your skills. This will identify weak areas for you to focus on. For example, I struggled with the engineering economics questions, so I spent extra time re-learning topics like the time value of money, depreciation, and inflation. In the second month, work through your prep book methodically, reading chapters and completing the practice problems related to each knowledge area. Really focus on practice problems similar to actual exam questions. In the final weeks before the exam, your prep should increase to solving 4-5 hours of practice problems per night. Take multiple timed, simulated exams to improve your pacing and stamina. I recommend taking at least two full-length practice exams.
Practice, Practice, Practice
In addition to individual subject review, practicing full-length exams is essential preparation. Simulated exams help build the mental endurance required for the 6-hour test. On exam day, you will receive an online agreement form and have 8 minutes of tutorial time to get accustomed to the format before the clock starts. The exam allows for one scheduled 50-minute break, which I recommend taking to refresh your brain before diving into the next section. In addition to the scheduled 50-minute break, you will have the flexibility to take unscheduled breaks as needed for restroom usage or grabbing a snack/water. However, it is prudent to be judicious when taking excessive unscheduled breaks, as the exam clock continues counting down during any time away from your computer. While essential personal needs should always be met, aim to limit unscheduled breaks to just 5-10 minutes so as not to squander valuable exam time. Make use of the restroom just before beginning a new section. With thoughtful time budgeting, you can satisfy necessary breaks without compromising your ability to complete this time-sensitive exam. Keep this timed exam structure in mind as you work practice tests at home so you are prepared for the pacing required on the actual test day.
Stress Management
Managing anxiety and stress is also hugely important when preparing for and taking the FE exam. Have confidence in your diligent preparation and utilize relaxation techniques leading up to exam day. Get adequate sleep, eat a nutritious breakfast, and do breathing exercises on the morning of the test. Arrive early at the testing center so you do not feel rushed. I brought a bottle of water, a snack, and earplugs to aid my comfort and focus during the exam. When you begin taking the test, quickly skim through the whole thing first to allocate your time appropriately before diving into the details. Flag questions you do not know immediately and come back to them later so you don't get bogged down. With thorough preparation and remaining calm on exam day, you will be primed for success.
Conclusion
While the FE exam is certainly difficult, passing it simply requires diligent preparation over 2-3 months, learning from practice problems and simulated exams, and not losing hope. If you don't pass on your first try, thoroughly review areas needing improvement per your diagnostic report. Then, sign up and study again using what you learned. Many examinees pass their second or third attempts with improved knowledge of their weak points. With smart preparation strategies tailored to your needs and perseverance, you will be an FE exam success story before you know it.
Are you ready to pass your FE exam on your first try? Enroll in one of our comprehensive FE exam prep courses today.
About the Author: Khoa Tran

Khoa Tran is an electrical engineer working at the Los Angeles Department of Water and Power and is currently pursuing his master's in electrical Power from the University of Southern California. He is fluent in both Vietnamese and English and is interested in outdoor activities and exploring new things.

Thursday, 5 September 2024

From Pyramids to Skyscrapers: The History of Engineering

The History of Engineering
Engineering has been a fundamental driver of human progress for thousands of years. From ancient civilizations to the technological marvels of today, engineers have pushed boundaries to imagine, design, and create remarkable structures, machines, systems, and processes that have shaped the modern world.
Early Engineering
Egypt and Mesopotamia
The foundations of engineering can be traced back to the great public works and military achievements of antiquity. The construction of the pyramids of ancient Egypt, spanning almost a century, represented a tremendous engineering feat. The massive blocks, precisely cut and positioned to astronomical alignments, still leave archaeologists perplexed as to the methods used. In Mesopotamia, irrigation systems (Figure 1) enabled large-scale agriculture through the controlled distribution of water (Crabben, 2023). This knowledge spread to early civilizations around the world.
Mesopotamia Irrigation Canals
Figure 1: Mesopotamia Irrigation Canals
Ancient Rome
The ancient Romans developed civil engineering on an epic scale. They built over 50,000 miles of roads (International Museum of the Horse, n.d.) and aqueducts like the Pont du Gard (Figure 2) that transported water hundreds of miles (Desbordes & Lescure, n.d.). The iconic Colosseum and Pantheon employed arches and concrete to allow huge enclosed public spaces. Fortifications and siege weapons showcased Roman military engineering prowess.
Pont Du Gard (Roman Aqueduct)
Figure 2: Pont Du Gard (Roman Aqueduct)
Europe and the Renaissance
Medieval engineering advanced with the construction of elaborate cathedrals and fortresses in Europe. Building ever-higher and larger cathedrals required innovations in columns, arched entries, flying buttresses, and intricate stonework. Technologies like water wheels and windmills were adopted for early industry. Late Medieval polymaths like Leonardo da Vinci embodied the guild artisans of the time period, displaying engineering creativity through detailed drawings and models.
The Renaissance accelerated engineering progress through the application of science and mathematical principles. Artists and architects carefully studied proportions and perspective, creating some of the great masterpieces of the era. Movable type printing using metal blocks revolutionized mass communication. Highly varied technical treatises were widely published. Exquisite mechanical devices and automatons were built to demonstrate principles of physics and mechanics.
Pivot Point: Industrial Revolution
The Industrial Revolution marked the transformation into modern engineering. Steam power opened entirely new possibilities for manufacturing, transportation, and large-scale machinery. Civil engineers designed roads, railways, bridges, tunnels, ports, and other infrastructure to support travel and commerce. The telegraph and telephone connected distant parts of the world with communication networks. Electrical engineering soon emerged to capitalize on electricity for lighting, motors, and appliances.
Twentieth-century engineering produced an astounding array of technologies that changed everyday life in the automobile/air travel, electronic, and nuclear industries.
Engineering’s Effects on Industry
Automobile
Automobiles and air travel became ubiquitous. In the early 20th century, cars and planes were novelties accessible only to the wealthy. However, mass production techniques pioneered by Henry Ford's Model T made automobiles affordable for the average American. By 1930, 23 million cars were registered in the U.S., with one car for every five Americans (National Museum of American History Behring Center, n.d.). The growing roadway infrastructure allowed driving to become a part of everyday life.
Ford with his early Model T
Figure 3: Ford with his early Model T
Air Travel
Similarly, air travel transformed from daredevil barnstormers to comfortable and common public transportation. The Douglas DC-3, introduced in 1936, could carry 21 passengers on a transcontinental flight across the U.S. within 15 hours (The Geography of Transport Systems, n.d.). By 1958, over 60 million Americans had traveled by air. Cars and planes had evolved from playthings of the rich to ubiquitous technologies relied upon by the masses for business and pleasure.
Douglas DC-3
Figure 4: Douglas DC-3
Electronics
Radio, television, and later computers provided entertainment and information globally. Huge dams and power grids delivered electricity across nations. Electronics amplified communications, computing, and control systems. The invention of the vacuum tube in the early 20th century enabled a breakthrough in electronics (Smil, 2019). Radios using vacuum tubes became extremely popular, allowing live broadcasting of speech, music, and news into homes across the nation. Later, the development of television brought both sound and dynamic visuals delivered over airwaves. Telephone networks also transitioned from operator-assisted switchboards to automated systems, enabling more conversations simultaneously through electronic amplification and switching. In World War II, advanced electronics like radar and analog computers provided tactical advantages. After the war, electronics research produced the transistor, allowing computing power to advance from room-sized mainframes to minicomputers and, eventually, microprocessors (Computer History Museum, n.d.). The space race drove further miniaturization of electronics. By the end of the 20th century, digital communications networks, computers, and consumer devices had electronics integrated into nearly every aspect of life.
Nuclear
Nuclear engineering emerged from physics into a practicable option for power generation as well as destructive weapons. In the 1930s, physicists discovered that the fission of uranium could yield tremendous amounts of energy. This was demonstrated practically in 1942 with the creation of the first nuclear reactor at the University of Chicago (U.S. Department of Energy, n.d.). Only a few years later, this principle was applied to develop the atomic bombs (Manhattan Project) dropped on Hiroshima and Nagasaki, demonstrating the immense destructive potential of nuclear physics.
Manhattan Project during testing
Figure 5: Manhattan Project during testing
After the war, nuclear technology was applied to peaceful purposes. In 1951, the first nuclear power plant was opened in Idaho, and it was able to provide electricity to the local region. Over the next decades, nuclear power expanded to become a major source of energy worldwide. Nuclear naval propulsion also emerged from physics research, with the USS Nautilus launching in 1954 as the first nuclear-powered submarine (Department of Energy, n.d.). So, within just two decades, nuclear engineering had branched from physics theories into both powerful weapons and practical generators of electricity and propulsion. The principles of physics were turned into real-world applications that would change energy and warfare.
Pivot Point: Information Age
The Information Age has accelerated the integration of all engineering disciplines. Software engineering made computers flexible and accessible to the masses. The internet networked the world like never before. Biomedical engineering harnessed technology to improve human health and enhance lives. Environmental engineering works to sustainably manage the planet’s resources. Nanotechnology manipulates matter at molecular scales with vast potential.
What Does the Future Hold?
Looking forward, the possibilities seem endless. But even with infinite computing power, engineering innovation requires human creativity, problem-solving, and perseverance. The grand challenges of the future, whether climate change, accessible healthcare, cybersecurity, or space exploration, will rely on engineers pushing boundaries to make the seemingly impossible - possible. The enduring legacy of engineering history lies in working to uplift humanity through technology.
References
Computer History Museum. (n.d.). 1947: Invention of the Point-Contact Transistor | The Silicon Engine. Computer History Museum. Retrieved September 14, 2023, from https://www.computerhistory.org/siliconengine/invention-of-the-point-contact-transistor/
Crabben, J. v. d. (2023, March 22). Agriculture in the Fertile Crescent & Mesopotamia. World History Encyclopedia. Retrieved September 14, 2023, from https://www.worldhistory.org/article/9/agriculture-in-the-fertile-crescent--mesopotamia/
Department of Energy. (n.d.). Timeline of Events: 1951 to 1970. Department of Energy. Retrieved September 14, 2023, from https://www.energy.gov/lm/timeline-events-1951-1970
Desbordes, M., & Lescure, M. (n.d.). 40 centuries of history. Le Pont du Gard. Retrieved September 14, 2023, from https://pontdugard.fr/en/discover/history
The Geography of Transport Systems. (n.d.). Selected Transcontinental DC-3 Routes, Late 1930s. The Geography of Transport Systems. Retrieved September 14, 2023, from https://transportgeography.org/contents/chapter5/air-transport/continental-dc3-routes-1930s/
International Museum of the Horse. (n.d.). Roman Roads. International Museum of the Horse. Retrieved September 14, 2023, from https://imh.org/exhibits/past/legacy-of-the-horse/roman-roads/
National Museum of American History Behring Center. (n.d.). Americans Adopt the Auto | National Museum of American History. National Museum of American History. Retrieved September 14, 2023, from https://americanhistory.si.edu/visitor-guides/america-move/americans-adopt-auto
Smil, V. (2019, January 24). During the 20th Century, Vacuum Tubes Improved in a Moore's Law-Like Way. IEEE Spectrum. Retrieved September 14, 2023, from https://spectrum.ieee.org/during-the-20th-century-vacuum-tubes-improved-in-a-moores-lawlike-way
U.S. Department of Energy. (n.d.). Manhattan Project: Fission Comes to America, 1939. OSTI.GOV. Retrieved September 14, 2023, from https://www.osti.gov/opennet/manhattan-project-history/Events/1890s-1939/fission_america.htm
About the Author: Khoa Tran

Khoa Tran is an electrical engineer working at the Los Angeles Department of Water and Power and is currently pursuing his master's in electrical Power from the University of Southern California. He is fluent in both Vietnamese and English and is interested in outdoor activities and exploring new things.

Thursday, 29 August 2024

Does a Master's Degree Give You an Advantage in Your FE Exam Preparation?

Does a Master's Degree Give You an Advantage in Your FE Exam Preparation
Passing the Fundamentals of Engineering (FE) exam and gaining an Engineering in Training (EIT) certification is the first step in the journey of becoming a licensed professional engineer in the United States. The exam is designed to test an individual's knowledge of fundamental engineering principles and their ability to apply that knowledge in practical ways. Passing the FE exam is required before an engineer can take the Professional Engineering (PE) exam and obtain their engineering license. This begs the question, would having a master's degree give you an advantage when taking the FE exam? There are a few key factors to consider when considering this question.
Does a Master's Degree Give You an Advantage in Your FE Exam Preparation?
Academic Knowledge
A master's degree will provide you with advanced technical knowledge and a deeper understanding of engineering concepts, which can certainly help when taking the FE exam. The FE will test your knowledge of subjects like mathematics, statistics, chemistry, physics, engineering economics, ethics, and more. All of these general topics will be covered in greater depth and technical detail at the graduate level compared to an undergraduate engineering degree. The advanced coursework and research conducted for a master's program expand your base of engineering knowledge, which you can leverage for the FE exam.
However, it's important to note that the FE exam is focused on only testing fundamentals rather than highly advanced concepts. Much of the exam covers engineering principles and skills that would be introduced and developed in an undergraduate program. So, while additional technical knowledge from a master's can be useful, it's not necessary nor required to pass the FE if you already have a solid grasp of the core fundamentals from an accredited undergraduate engineering program. The FE aims to set a minimum level of competency for all engineers at the early stages of their careers.
Problem-Solving Abilities
More so than just technical knowledge, the FE exam emphasizes critical thinking and problem-solving skills. You have to be able to analyze engineering situations and apply foundational concepts to solve quantitative problems. A master's degree may provide an advantage in that sense, considering several of their courses are aimed at developing strong analytical and problem-solving abilities.
Graduate-level coursework and research require a student to investigate open-ended problems, evaluate alternatives, and think through solutions rigorously. Master's programs also emphasize higher-order skills like critical thinking, data analysis, and logical reasoning. Dealing with complex technical concepts and assignments hones your ability to parse information, extract key insights, and make calculations—abilities all very relevant to the FE exam. While undergraduate studies certainly teach problem-solving as well, the more advanced skills developed in a master's program can further boost your proficiency.
Studying and Test-Taking Strategies
Pursuing a master's degree also helps develop general studying and test-taking abilities that could easily be applied to your FE exam preparation. A master's coursework requires managing a heavy workload, synthesizing large amounts of information, and applying knowledge across multiple domains. Conducting research develops skills like information gathering, statistical analysis, and technical writing. Master's students have to stick to deadlines, manage stress, and get comfortable taking exams in advanced subjects. These skills earned through graduate school prepare examinees for detailed studying, time management, and test-taking, which are invaluable when preparing for and taking the rigorous 6-hour FE exam.
There have been many who have excellent study habits and many who have certainly prepared well for the FE with just an undergraduate background. The experience of pursuing a master's degree provides an additional level of preparation for those who may need it. The demands of graduate-level academics serve as good training for both the content and process of taking the FE exam.
Self-Motivation
Finally, the drive and self-motivation required to pursue a master's degree beyond your undergraduate education also translate into a greater focus on FE exam preparation. Succeeding in a master's program requires disciplined studying, passion for your field, and the ability to self-motivate over an extended period of time. These soft skills around dedication and focus are important when taking on the challenge of the FE exam. If you have the motivation to consistently study and improve over the 1-2 years of a master's program, you will likely also have the right mindset to stay committed to your FE exam preparation.
While someone without a master's can certainly be highly motivated as well, and there have been many who have done so, the determination demonstrated by pursuing (and completing) a graduate degree shows you have the kind of work ethic and persistence needed to pass the FE. If you have conquered the rigors of a master's program, you have also likely developed the self-motivation needed to fully dedicate yourself and put in the hours required to study and be ready for the FE.
In summary, a master's degree can provide some advantages when preparing for the FE exam, such as:
  • Deeper academic knowledge, especially in advanced math/science topics
  • Enhanced critical thinking and problem-solving abilities
  • Improved study and test-taking strategies
  • Higher levels of self-motivation and dedication
However, a master's degree is not required to pass the FE exam; plenty of individuals without a master's degree succeed in passing the exam each year. With proper preparation using undergraduate education and FE exam-specific study materials, you can develop the fundamental engineering knowledge and skills needed to do well. The FE aims to test basic competency and is fully feasible without a master's degree. However, the advanced engineering proficiency and academic maturity gained in graduate studies can provide an incremental benefit.
Conclusion
Ultimately, the FE exam tests your comprehension of core engineering principles and your ability to solve problems efficiently. The pursuit or completion of a master's degree would only strengthen both comprehension and problem-solving through advanced technical knowledge and overall academic development. But, for many, it is not mandatory. With diligent preparation, both master's graduates and undergraduates can perform well on the FE exam and take the first step to professional engineering licensure. The degree to which a master's degree helps mostly depends on the quality of the program and your effort to leverage the experience for your FE exam preparation.
Whether you have a master’s degree or not, we can help you pass your FE exam on your first try! Join the tens of thousands of engineers who’ve passed their FE exam with School of PE. Register now!
About the Author: Khoa Tran

Khoa Tran is an electrical engineer working at the Los Angeles Department of Water and Power and is currently pursuing his master's in electrical Power from the University of Southern California. He is fluent in both Vietnamese and English and is interested in outdoor activities and exploring new things.

Thursday, 22 August 2024

Ultimate Guide to Balancing Study Time for the FE Exam

Ultimate Guide to Balancing Study Time for the FE Exam
Studying for the Fundamentals of Engineering (FE) exam can feel overwhelming. With so much material to cover, it's crucial to have an effective study plan to manage your time wisely. As a former engineering student who successfully passed the FE exam, I've discovered some time management solutions that have helped me tremendously to maximize my preparation. In this blog post, I'll share the best tips I've learned for developing an FE exam study schedule, sticking to it, and retaining what you learn.
Create a Study Calendar
The first step is to make a realistic calendar that maps out the weeks and months leading up to your exam date. Outline how many hours you can devote to studying each day and week. The general rule of thumb is to study 200-300 hours total over several months. Calculate what pace you need to maintain to reach your target hours.
I recommend studying 10-15 hours per week if you have 3-4 months until test day. Break that down into 3-4 study sessions per week. Studying every day for short bursts of time is more effective than cramming on weekends. Your brain does better at absorbing and retaining information through consistent repetition than through an impulse of learning.
Once you've created your FE exam study calendar, do your best to stick to it! Treat study sessions like important appointments that can't be rescheduled. However, build in some wiggle room for inevitable busy weeks or emergency interruptions. Life happens; adjust your schedule accordingly, but don’t forget to get right back on track the following week.
Take Practice Exams
Taking timed practice exams is one of the most valuable ways to prepare for the FE exam. Full-length practice tests closely simulate the actual testing environment, giving you a realistic assessment of your knowledge. Here are some tips for using practice tests effectively:
  • Take your first practice test 2-3 months before the exam to identify weak areas to focus on. Take another one 1-2 months out, and your final test just before exam day.
  • Strictly follow the 5-hour 20-minute time limit to build your test-taking endurance.
  • Grade each test thoroughly and note the concepts/types of problems you missed. Emphasize reviewing trouble topics in your following study sessions.
  • Pay attention to how you felt physically and mentally while taking the practice exam. Adjust your schedule to prevent any onset of burnout.
  • Purchase at least 2 different practice exams. Repeating the same test won't help as much. Varying your practice gives a well-rounded experience.
Follow the NCEES Practice Exam Format
The National Council of Examiners for Engineering and Surveying (NCEES) designs the FE exam and regularly updates the exam specs. It is best to follow their test specifications closely when you prepare for your exam. Look for a practice exam in the format of the real exam, like the ones School of PE offers.
The exam covers 110 questions and is 5 hours and 20 minutes long. All the questions will be either multiple choice or alternative item types such as:
  • Multiple correct options (allows multiple choices to be correct)
  • Point and click (requires examinees to click on part of a graphic to answer)
  • Drag and drop (requires examinees to click on and drag items to match, sort, rank, or label
  • Fill in the blank (provides a space for examinees to enter a numerical response to the question)
Study with the NCEES breakdown in mind.
Use Memory Techniques
With so many equations, constants, conversions, and formulas to remember, using memory techniques is crucial for recall on test day. Here are two effective strategies I use:
Chunking - Group concepts or steps that go together into "chunks". Then, memorize the chunks as a whole. This prevents your brain from getting overloaded.
Mnemonics - Create acronyms, rhymes, songs, or mental images to represent concepts. Associating information with visuals or music makes it stick better.
Study in Groups
Studying with other FE exam takers has many benefits beyond moral support. Group members can quiz each other, explain tricky concepts, and share study resources. Having to verbalize your knowledge out loud helps strengthen your understanding. Just be sure to stay on task and take breaks to avoid mental fatigue.
If your college doesn't have an FE review group, check social media for local study partners. There are also online FE exam preparation groups where you can connect virtually. Studying together keeps you accountable and motivated!
Try Timers for Focused Sessions
With so much material to cover, maintaining focus is a challenge. Timers and productivity apps are useful for keeping study sessions targeted. Here are some you can try:
  • Pomodoro Technique - Study intensely for 25 mins, take a 5 min break. After 4 rounds, take a 30-minute break.
  • Forest - This app lets you set a time limit and grow a virtual tree while you stay off your phone. If you switch apps before the timer ends, the tree dies.
  • Be Focused - Customize sessions with timed intervals of working, short breaks, and long breaks.
  • Focus Keeper - Alternate between focused study and rest periods. Track your daily progress.
I like to switch up my timer style every few sessions to keep my brain engaged. The forced breaks help processing and retention.
Review Key Concepts Before Bed
In the last hour before bedtime, review your highlighted notes or flashcards on foundational concepts. Repetition right before sleep helps strengthen and consolidate memory. This practice really works - I can often recall entire equations the next morning!
Make your "before bed review" quick, about 10 minutes. Don't do any intense problem-solving that will keep your mind too active. The key is falling asleep promptly so memory integration can occur overnight.
Eat Brain Foods
You'll retain so much more studying while properly nourished. Complex carbs provide steady energy, protein aids concentration, and antioxidants boost brain function. Some of my go-to study snacks include:
  • Oatmeal with berries
  • Greek yogurt with mixed nuts
  • Apple with peanut butter
  • Carrots with hummus
  • Trail mix
  • Green tea
Drink plenty of water to stay hydrated as well. Proper nutrition gives both your body and mind the resources to perform at your peak.
Review, Don't Cram
If the exam is just a week or two away, resist the urge to panic cram! Review key concepts methodically instead. Re-work any practice problems that you have struggled with. Skim through flashcards. But don't try digesting new material. Stick to strengthening your existing knowledge.
Cramming overload causes mental fatigue faster. To simulate the endurance needed on exam day, treat the last week as a practice run. Maintain your regular study hours and methods. Get plenty of rest the night before the test. You'll feel confident and prepared walking in.
While studying for a big exam like the FE can feel overwhelming at times, staying organized and managing your time effectively makes reaching your goal totally doable. Implementing just a few of these tips can optimize your study plan. Maintain self-care, stick to your schedule, and keep chipping away consistently. I hope these strategies for balancing FE exam prep with daily life can help maximize your study time. With determination and commitment, you've got this!
If you’re interested in a comprehensive course designed to help you pass your FE exam on your first try, check out School of PE! School of PE's #1-rated engineering exam review courses have provided tens of thousands of professionals with the tools to pass their exams.
About the Author: Khoa Tran

Khoa Tran is an electrical engineer working at the Los Angeles Department of Water and Power and is currently pursuing his master's in electrical Power from the University of Southern California. He is fluent in both Vietnamese and English and is interested in outdoor activities and exploring new things.

Thursday, 15 August 2024

FE Exam or Engineering Experience: Which Comes First?

Many engineering students wonder if they need to pass the Fundamentals of Engineering (FE) exam before beginning their engineering careers and gaining industry experience. The short answer is no - you do not have to pass the FE exam before beginning your engineering career. However, there are several good reasons to take and pass the exam as early as possible. Here is an in-depth look at the FE exam and whether you need to pass it before gaining experience.
FE Exam or Engineering Experience

Do You Have to Pass the FE Before Gaining Experience?

Nothing is stopping you from working as an engineer before taking or passing the exam. The FE is not a prerequisite to begin working after graduation.
However, there are a few reasons why you may want to take the FE exam as soon as you can:
1. The concepts are fresh in your mind.
Engineering students typically take the FE exam right after graduation, as the test material is still fresh in their minds. The FE tests your comprehension of basic engineering principles, which you should have learned during your undergrad.
Engineering knowledge is freshest after graduation, making the FE exam a bit easier. Your undergraduate coursework should have prepared you with broad engineering and scientific fundamentals to handle the breadth of the FE.
Studying and passing the exam only gets more difficult and time-consuming the longer you are out of school. Preliminary review suggests new graduates have higher FE exam pass rates than those further into their careers.
The further you get from your college courses, the harder it will be to recall conceptual topics that you may not use regularly in your job. Reviewing and relearning concepts you’re rusty on will require extra time and effort.
2. You must take it before taking the PE exam and earning your PE license.
To get your PE license, the first step is to pass the FE exam and gain relevant work experience, usually four years. If your goal is to become a licensed Professional Engineer, you’ll want to pass the FE exam as soon as possible.
Gaining the 4+ years of experience required to take the PE exam and your PE license takes time. Knocking out the FE exam requirement early lets you get the licensure clock ticking as soon as possible.
The FE and PE exams are spaced apart by design. Passing the FE as soon as you can after graduation clears a major hurdle on the path to licensure. The PE license application process can't formally start until you pass the FE. Waiting to take the test delays earning your PE credential.
3. Some employers require it.
While not all engineering jobs require the FE or PE, there are always some exceptions to the rule. Certain employers make passing the FE an official condition of hiring and continued employment for engineering positions.
For example, civil engineers working on public construction projects may need licensure to comply with contracts. Their employer likely requires passing the FE.
If your target companies do not require the FE upfront, you still gain an edge over other applicants by passing the exam early. It shows commitment to professional development.
4. It will boost your resume.
While not strictly required for non-licensure careers, passing the FE exam still looks impressive on a resume. It demonstrates you have acquired a body of engineering knowledge and possess analytical problem-solving skills.
The FE shows initiative to go above and beyond and master your foundational engineering education. Some companies may offer promotions and raises to engineers who pass the FE or pursue licensure.

How Long to Study for the FE Exam?

Studying for the FE exam takes dedication. The test covers a wide range of engineering topics, so thorough prep is essential.
On average, examinees spend 80-100 hours studying to pass the FE exam. Preparation time depends on your engineering discipline and academic background.
Some accelerated FE exam prep courses claim you can cram in just 5 weeks. However, most examinees study for 2-3 months to truly cement knowledge and practice working speed. Don’t underestimate the exam - take time to prepare properly.
The FE exam recently transitioned to a computer-based format, allowing year-round testing. This gives flexibility to take the FE when you feel ready rather than waiting for specific dates. Just be sure to meet registration deadlines.
Earning an engineering degree shows you have the knowledge. Passing the FE proves you can apply that knowledge efficiently. Dedicate the time to refresh concepts and practice working on exam problems at a brisk pace.

Should You Work Before Taking the FE Exam?

There are no rules saying you can't gain engineering experience before passing the FE exam. Working for a few years before taking the test is fairly common.
However, don't wait too long after graduation. Some pros of gaining experience before attempting the FE include:
  • Earning money to finance FE prep materials and expenses
  • Gaining some field experience to inform exam studying
  • Having more "think like an engineer" problem-solving practice
Yet, spending too long outside of school can work against you. Engineering concepts won't get reinforced and will become rustier. Plus, you may find it harder to find the time and motivation for rigorous FE studying after starting your career.
Ideally, take the FE exam within two years of finishing your engineering degree. This strikes a balance between allowing some field experience while concepts are still fresh.

How to Prepare for the FE Exam

Whatever your experience level, disciplined preparation helps boost FE exam success:
  • Use the NCEES exam specifications to focus studying on the topics covered. Review college textbooks and notes.
  • Work through many practice problems under timed conditions. Practice builds speed and accuracy.
  • Learn the FE exam format and how to strategically tackle questions. Don't waste time on difficult problems.
  • Master your calculator to efficiently handle mathematical computations. Bring spare batteries.
  • Brush up on fundamentals you haven’t used recently, like chemistry, physics, or advanced math.
  • Take a review course with a top-ranked exam prep provider like School of PE.
  • Keep taking practice exams to evaluate preparedness until consistently scoring over 70%.
  • Rest up the day before. Have what you need ready so you're not rushing around.

What's Next After Passing the FE Exam?

Congratulations, you've passed the FE exam! Now you can:
  • Update your resume and LinkedIn profile to highlight your accomplishments.
  • Join engineering associations and networks like the National Society for Professional Engineers.
  • Formally start accruing the professional engineering experience needed for PE licensure. Track hours.
  • Identify a PE mentor at your company who can provide guidance.
  • Continue developing technical skills in your field. Seek opportunities to gain experience in areas covered on the PE exam.
  • Maintain knowledge by attending engineering seminars and events or taking continuing education courses. Stay up to date on regulations.
  • Save FE exam references and resources in case you need to brush up again for the PE exam.
Passing the FE opens opportunities in your engineering career. For those pursuing licensure, it's the critical first step to becoming a Professional Engineer. For others, it strengthens your foundation to grow professionally even without the PE.

Key Takeaways

  1. You do NOT have to pass the FE exam before starting your engineering career or gaining experience. Nothing prevents working as an engineer before or without FE certification.
  2. However, it is wise to take the test as soon as possible after finishing your accredited engineering degree. Knowledge is freshest, and the exam is often easier right out of college.
  3. Passing the FE exam early starts the licensure clock if your goal is to become a licensed Professional Engineer. It also boosts your resume and competitiveness.
  4. Disciplined studying is key to succeeding on the broad FE exam, which covers many engineering topics. On average, examinees spend 80-100 hours preparing.
  5. The FE exam is your chance to prove your comprehension and ability to apply foundational engineering concepts. Take advantage while the material is still fresh after graduation.
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About the Author: Khoa Tran

Khoa Tran is an electrical engineer working at the Los Angeles Department of Water and Power and is currently pursuing his master's in electrical Power from the University of Southern California. He is fluent in both Vietnamese and English and is interested in outdoor activities and exploring new things.

Thursday, 8 August 2024

Mastering Digital Signal Processing: Your Essential Guide for the FE Electrical Exam

Mastering Digital Signal ProcessingThe FE requires examinees for the FE Electrical exam to be able to solve DSP equations. Here, we will provide a brief introduction to the topic and several useful equations that will help prepare you for your upcoming exam.

Sampling

The sampling theorem states that in order to accurately reconstruct a continuous-time signal from its samples, the sampling rate must be at least twice the highest frequency component in the signal. This minimum sampling rate is known as the Nyquist rate. If the sampling rate is below the Nyquist rate, aliasing occurs, leading to distorted or misleading reconstructions.

1. Nyquist Theorem
A signal can be represented in its sample and can be recovered back when using the sampling frequency (fs) or sampling angular frequency (ω_s=2πf_s) is greater or equal to twice the max frequency component of the signal (McClellan et al., 2021, 111) where:

fs≥2fmax or ωs≥2ωmax   (1)
For instance, considering the constraints of human auditory perception, the upper limit of discernible frequencies for human hearing is approximately 20 kHz (D et al., 2001). Consequently, to accurately capture and reproduce audio signals while adhering to the Nyquist Theorem, widely adopted media formats such as compact discs (CDs) and numerous digital audio files employ a sampling frequency of 44.1 kHz.
During the sampling process, it is customary to adhere to the Nyquist rate to ensure a faithful representation of the original signal. However, it is worth noting that alternate approaches, such as oversampling or undersampling, can also be employed to capture signals with distinct characteristics. 

2. Aliasing
Aliasing occurs when the sampling rate is less than the Nyquist rate, causing overlapping of the frequency components of the continuous-time signal. Aliasing leads to the creation of false frequency components, making it difficult to accurately reconstruct the original signal.
However, the signal can be reconstructed by filtering out frequencies above 1/2 fs. To ensure accurate sampling, it is crucial that the signal to be sampled possesses a frequency content that is limited to half the sampling frequency. Failure to adhere to this requirement leads to aliasing, an undesirable phenomenon where different frequency components overlap and distort the reconstructed signal.
When the highest frequency in the signal is greater than half of the sampling frequency, then aliasing occurs. Through graphical analysis, it can be observed that the frequency (f) that surpasses half the sampling frequency will result in a signal reconstruction with aliasing at the difference between the sampling frequency (fs) and f, denoted as fs - f.
For 0.5fs < f <1.5fs, the aliasing will appear at |fs-f|.
For 1.5fs < f <2.5fs, the aliasing will appear at |2fs-f|.
For 2.5fs< f <3.5fs, the aliasing will appear at |3fs-f| and so on (Hasegawa, 2021, 23).
Example: 
What is the frequency (Hz) of the artifact in the reconstructed signal if the function is Acos(640πt+Φ) and the signal is sampled at 120 Hz?
Solution:
1. Since the question is asking for frequency (Hz), we need to identify the max frequency and sampling frequency:

fmax=640Ï€/2Ï€=320 (Hz)
fs=120 (Hz)
2. Check the criteria of fmax compare to fs. You will need to keep testing until the right criteria is reached.
2.5fs< f <3.5fs
2.5(120)<320<3.5(120)
300<320<420
3. Find the artifact frequency via |3fs-f|
fartifact=|3(120)-320|=40 (Hz)

Digital Filters

Based on the FE Electrical and Computer topic list, the subtopics covered in the Digital Filters are Difference Equation and Z-Transform. However, Finite Impulse Response (FIR) and Infinite Impulse Response (IIR) shall not be neglected even though they were not listed. 

1. Difference Equation
A difference equation is a mathematical equation that represents the relationship between the input and output signals of a discrete-time system. It describes how the current and past input values, as well as the current and past output values, are combined to compute the current output value (McClellan et al., 2021, 147).

A general form of a difference equation is:

y[n]=a0 x[n]+a1 x[n-1]+...+b0 y[n-1]+b1 y[n-2]+...   (x)

Where, 

y[n] is the current output at discrete time n.

x[n] is the current input at discrete time n.

x[n-1],... is the past input values.

y[n-1],... is the past output values.

a0, … and b0,... are the coefficients of the difference equation.  

Example: 

y[n]=4x[n]+2y[n-1]+2y[n-2]; y[n]=0 for n<0

What is the impulse response of a system described by the difference equation? 

Solution: 

1. For impulse response, x[n]=δ[n] and δ[0]=1 and δ[n≥1]=0

. n=0

y[0]=4δ[0]+2y[0-1]+2y[0-2]=4(1)+y[-1]+y[-2]=4+0+0=4

. n=1

y[1]=4δ[1]+2y[1-1]+2y[1-2]=4(0)+2y[0]+2y[-1]=0+2(4)+2(0)=8

. n=2

y[2]=4δ[2]+2y[2-1]+2y[2-2]=4(0)+2y[1]+2y[0]=4+2(8)+2(4)=28

You can keep computing for n approaches ∞ but the solution right is h[n]={4.8,28,...}

2. Z-Transform
The z-transform provides a way to represent discrete-time signals or sequences as functions of a complex variable, denoted as "z." It is defined as the sum of the sequence multiplied by powers of z, where z can be any complex number (McClellan et al., 2021, 348). The z-transform of a discrete-time sequence x[n] is given by:

         ∞
X(z)= x[n]z-n(x)
       n = 0

In the exam, a table of z transform paris is provided in the Reference Handbook p.372. 

Example: 

Find the z-transform X(z) of the following signal: 

x[n]=δ[n]+1/5 δ[n-2]-3/4 δ[n-4]

Solution: 

1. Use the summation definition (equation x) to solve for the z transform:

X(z)= x[n]z-n
n = 0

2. x[n] is zero for all values of n except when n=0,2,and 4.

x[n]={1,0,1/5,0,-3/4}

. n=0, z transform is

x[0]z-0=1⋅1=1

. n=2, z transform is

x[2]z-2=1/5⋅z-2

. n=4, z transform is

x[4]z-2=-3/4⋅z-4

So, X(z)=1+1/5 z-2-3/4 z-4

3. Finite Impulse Response (FIR)
The FIR system, or, as we often refer to them, FIR filter, is a type of digital filter whose output is determined by a weighted sum of past and present input samples (McClellan et al., 2021, 147).

The output of the FIR filter can be calculated as:

Y(n)= bnx[n-k]
k = 0

4. Infinite Impulse Response (IIR)
In contrast to FIR filter, the output of IIR filter is the sum of the values of past inputs plus past outputs (McClellan et al., 2021, 394).

The output of the IIR filter can be calculated as: 

y[n] = ∑l=0 bl x[n-l] + ∑k=0 ak y[n-k]

Example: 

With the given filter below

y[n]=x[n]+1/6 x[n-1]

What type of filter is it?

Solution: 

1. By looking at the function, the output contains the sum of the current and past inputs. Therefore, it is an FIR filter. 

2. Do a z-transform to determine if it is a low-pass, high-pass, band-pass, or band-reject filter. 

y[n]=x[n]-1/6 x[n-1]

Use the z-transform pair from Reference Handbook p.372, we have 

Y(z)=X(z)-1/6 X(z)z^(-1)

H(z)=(Y(z))/(X(z))=1-1/6 z^(-1)=(z-1/6)/z

Conclusion

This blog aims to serve as a valuable point of reference, offering concise explanations and practical examples for each topic addressed in the exam. It is important to note, however, that while the blog provides a helpful overview, it may not encompass all aspects related to digital signal processing. For a more thorough and comprehensive study plan, I recommend visiting School of PE’s FE Electrical exam review course FE Electrical exam review course, which offers an extensive and detailed curriculum to ensure a comprehensive understanding of the subject matter.

References

D, P., GJ, A., & D, F. (2001). Neuroscience 2nd edition. Sunderland (MA): Sinauer Associates. https://www.ncbi.nlm.nih.gov/books/NBK10924/

Hasegawa, M. (2021). Lecture 6: Sampling and Aliasing. Retrieved June 6, 2023, from https://courses.engr.illinois.edu/ece401/fa2021/lectures/lec06.pdf

McClellan, J. H., Schafer, R. W., & Yoder, M. A. (2021). DSP First Second Edition. Pearson.

About the Author: Khoa Tran

Khoa Tran is an electrical engineer working at the Los Angeles Department of Water and Power and is currently pursuing his master's in electrical Power from the University of Southern California. He is fluent in both Vietnamese and English and is interested in outdoor activities and exploring new things.

Thursday, 1 August 2024

Ready to Step into the Metaverse? AR & VR Explained

Step into the Future with Augmented and Virtual Reality
Imagine being able to virtually tour your dream home before it's built or see how a new piece of furniture would look in your living room before you buy it. How about watching your favorite band perform up close in a simulated concert or traveling to exotic locations without ever leaving the comfort of your own home? With augmented reality (AR) and virtual reality (VR), these imagined scenarios are now far closer to reality than fiction. These exciting technologies are changing the way we interact with the world.
What Exactly Is AR and VR?
First things first, what exactly are AR and VR? Augmented reality overlays digital information and objects onto the real world that you see through a device. For example, you could look at a menu through your smartphone camera and see menu prices and reviews overlaid right on the menu. Virtual reality, on the other hand, is a fully immersive, computer-generated simulation of an environment or scenario. With a VR headset on, you're transported into a digital world where you can look around and interact as if you were really there.
Simply speaking, as the name suggests, augmented reality adds to the reality that we see, while virtual reality is an entirely simulated reality to interact with.
What is AR and VR
From Entertainment to Education
Both AR and VR are being embraced in entertainment and education spaces. Amusement parks have already included AR/VR rollercoaster experiences and VR gaming has become increasingly popular, allowing you to battle monsters or aliens from the comfort of your living room. Museums are using AR to bring exhibits to life with additional digital content about artifacts, and students have been offered fully immersive virtual field trips with the use of VR and interactive detailed models of historical sites and objects have been made possible through AR.
Healthcare has also begun adopting these revolutionary technologies for training surgeons and treating phobias and anxiety disorders.
The technology is still emerging, but huge players like Meta, Microsoft, and Google are investing heavily into AR and VR, and furthering their development. More affordable consumer devices such as the Meta Quest 2 VR headset (as of 2024, priced under $300) deliver high-quality experiences and accuracy that rival its pricier competitors. As the technology continues to improve and costs come down, mass adoption will skyrocket; soon, AR and VR will become the norm.
AR, VR Endless Possibilities
Endless Possibilities Await
With enhanced online shopping experiences, instant interior design, and fully interactive virtual travel, AR and VR are opening up tremendous new opportunities. As the technology advances, new industries will start to sprout and existing ones will begin to incorporate it into their products and services. We've only scratched the surface of what this emerging field can achieve—the possibilities are expansive.
Although these ideas existed in our imagination at first, people are now able to have their own holodecks like in Star Trek, witness their homes be redecorated with an infinite amount of options, and enable those who are financially constrained to explore the world without restriction. Innovations in AR and VR are turning imagination into reality. The possibilities these technologies provide are limited only by our creativity. Get ready, enjoy the explosive development, and welcome to the future!
The Rapid Pace of Innovation
The Rapid Pace of Innovation
The capabilities of AR and VR technologies are continuously evolving as new techniques and hardware innovations emerge. Just look at how far we’ve come in a few short years. Early VR headsets were bulky, expensive, and had major limitations, but thanks to rapid advancements, consumer-grade devices today provide stunningly realistic visuals and movement tracking that rivals systems costing thousands more just 5-10 years ago.
With some of the top technology companies engaged in fierce competition to improve AR and VR, the pace of innovation shows no signs of slowing down. Major investments in research and development are further driving breakthroughs across several key areas:
  • Display Technology – To enhance realism, headsets are implementing higher display resolutions, faster refresh rates, and wider fields of view. New types of advanced displays like micro-LEDs will push visual fidelity even further (Sprigg, 2023).
  • Tracking Systems – More precise and responsive sensors, computer vision technology and deep learning algorithms will continue to refine a headset’s ability to track the position and movement of a user’s head, hands, and body (Mechatech Embrace Technology, n.d.).
  • Expanded Applications – Engineers are finding new ways to integrate AR and VR across more fields like healthcare, design, training, and manufacturing. The possibilities for transformational use cases are endless.
Real Life Application
Real Life Application
The implementation of augmented reality (AR) technologies like Integrated Visual Augmentation Systems (IVAS) in the military shows promise for enhancing combat capabilities through improved situational awareness, targeting, and decision-making. However, there are some significant challenges regarding human factors, overreliance on technology, data integrity, electromagnetic signatures, environmental durability, and vulnerabilities to disruption that could render AR ineffective or even counterproductive on the battlefield if not properly addressed.
A balanced approach is required that leverages AR's advantages while mitigating limitations through rigorous testing and evaluation across diverse conditions and echelons. Network connectivity, cognitive overload, basic skill retention, and adversarial spoofing must be considered to prevent over-dependence and lack of flexibility. AR adoption must be done methodically, identifying and prioritizing risks and limitations for mitigation before full-scale deployment, so these technologies can serve as force multipliers that augment soldiers’ capabilities without detracting from their core combat competencies and resilience. With prudent implementation, AR can deliver enhanced tactical advantages and effectiveness to the military (Kallberg et al., 2022).
Conclusion
As with any groundbreaking technology, there are challenges to address on the road ahead. Most consumers still view AR and VR as intriguing but cost-prohibitive novelties. As more people get exposure to affordable mobile-based AR experiences, and standalone VR headsets like the Meta Quest 2 lower financial barriers, adoption will accelerate. Increased adoption will then fuel further innovation in a positive feedback loop.
Motion sickness and potential health risks from overuse are also valid concerns. However, solutions are in development - like wider fields of view, eye tracking, and body position monitoring. Responsible use guidelines will also be important. There’s no doubt we’re just scratching the surface of how AR and VR will transform our lives. The future looks bright.
References
Kallberg, D. J., Beitelman, V., Mitsuoka, V., Pittman, J., Boyce, D. M. W., & Arnold, T. W. (2022, May - June). The Tactical Considerations of Augmented and Mixed Reality Implementation. Army University Press. Retrieved August 7, 2023, from https://www.armyupress.army.mil/Portals/7/PDF-UA-docs/Kallberg-UA.pdf
Mechatech Embrace Technology. (n.d.). How do common virtual reality tracking systems work? Mechatech. Retrieved August 7, 2023, from https://www.mechatech.co.uk/journal/how-do-common-virtual-reality-tracking-systems-work
Sprigg, S. (2023, February 6). MIT engineers invent full-color micro-LEDs for AR & VR devices. Auganix.org. Retrieved August 7, 2023, from https://www.auganix.org/vr-news-mit-engineers-invent-vertical-full-color-microscopic-leds-for-use-in-ar-and-vr-devices/
About the Author: Khoa Tran

Khoa Tran is an electrical engineer working at the Los Angeles Department of Water and Power and is currently pursuing his master's in electrical Power from the University of Southern California. He is fluent in both Vietnamese and English and is interested in outdoor activities and exploring new things.