Majoring in Physics vs. Math

Tibees
21 Mar 201806:29
EducationalLearning
32 Likes 10 Comments

TLDRThe video script explores the intertwined nature of math and physics, highlighting the necessity for a physics major to take math courses to understand and describe physical systems mathematically. It distinguishes between experimental and theoretical physics, noting that while experimental work is often university-based, theoretical aspects like string theory are more aligned with math departments. The speaker, who pursued a double major in both fields, suggests that majors are less defining and recommends focusing on interests and skills over specific academic paths. They also share their experience with over-pointing, taking extra courses for personal interest, and emphasize the importance of passion and research ability over one's major when pursuing further studies or a career.

Takeaways
  • 🔗 Math and Physics are closely intertwined, with a physics major often required to take many math courses to understand and describe physical systems mathematically.
  • 📚 Math majors are not typically required to take physics courses, but many are interested in the physical world, indicating a natural curiosity that bridges the two fields.
  • 🧪 Physics is divided into two main branches: experimental and theoretical, with the latter often overlapping with mathematics.
  • 🌐 Theoretical physics, including areas like string theory and general relativity, can be purely mathematical and may be studied within math departments.
  • 👨‍🔬 A physics major prepares students for experimental work, involving lab work, writing reports, and studying subjects like thermodynamics, electronics, electromagnetism, and mechanics.
  • 🎓 The speaker recommends a double major in mathematics and physics based on personal experience, though it's not a necessity and depends on individual interests.
  • 📈 Overloading with courses (taking more than the full-time load) is a personal choice that can lead to a double major, but it's not recommended if one has other commitments.
  • 🤔 The choice of major may not define future career paths; it's more about the skills gained and the ability to sell those skills to future employers or supervisors.
  • 🧐 Personal interests and the desire to learn are more important than the specific major when pursuing further education or research opportunities.
  • 🎉 The transcript emphasizes that the journey through education should be driven by passion and curiosity, rather than solely by the pursuit of a particular degree.
Q & A
  • Why are math and physics often considered intertwined subjects?

    -Math and physics are intertwined because a strong foundation in mathematics is essential for understanding and solving physics problems. Physics often involves describing physical systems using mathematical equations and analyzing how these systems evolve over time.

  • What type of courses would a physics major be required to take?

    -A physics major would be required to take a variety of math courses, as well as courses in thermodynamics, electronics, electromagnetism, and mechanics, which are essential for understanding and testing physical theories.

  • Is it necessary for a math major to take physics courses?

    -While math majors are probably not required to take physics courses, many are interested in aspects of the physical world and may choose to study physics to some extent.

  • What are the two main 'flavors' of physics mentioned in the script?

    -The two main 'flavors' of physics are experimental and theoretical physics. Experimental physics involves conducting experiments to test theories, while theoretical physics focuses on developing mathematical models to describe physical phenomena.

  • Why might some theoretical physics work be conducted in a math department?

    -Some theoretical physics work, such as string theory and aspects of general relativity involving differential geometry, is more mathematical in nature and does not yield results that can be tested in physical experiments, making it more aligned with the work done in math departments.

  • What are some benefits of doing a double major in mathematics and physics?

    -A double major in mathematics and physics can provide a well-rounded education, covering both the theoretical and experimental aspects of these fields. It also allows students to pursue a wide range of interests and can be beneficial for those who are unsure of which field they want to specialize in.

  • What does 'over pointing' mean in the context of the script?

    -Over pointing refers to taking more than the full-time load of courses in a semester. In the script, it is mentioned that the speaker took five courses every semester instead of the standard four.

  • Why did the speaker choose to over point?

    -The speaker chose to over point to take additional courses that they found interesting and wanted to learn more about, such as group theory, computer science, or the history of mathematics.

  • What advice does the speaker give regarding the importance of one's major on future career paths?

    -The speaker advises that the specific major may not be as important as the skills gained and the ability to sell those skills to future employers or supervisors. They emphasize that personal interests, learning, and research capabilities are more crucial for future success.

  • How does the speaker feel about the necessity of a double major for future opportunities?

    -The speaker does not believe that a double major is necessary for future opportunities. They suggest that the skills and interests one develops during their studies are more important than the specific majors listed on their degree.

Outlines
00:00
🔬 Interconnectedness of Math and Physics

The speaker discusses the close relationship between mathematics and physics, emphasizing the necessity for a physics major to take numerous math courses to understand and describe physical systems mathematically. They also touch on the two main branches of physics: experimental and theoretical, with the latter sometimes being conducted within math departments due to its abstract nature. Examples like string theory and general relativity are given to illustrate the point that theoretical physics can be purely mathematical. The speaker suggests that if one is interested in the theoretical side, a math major might be more suitable, while a physics major prepares one for experimental work involving lab reports and subjects like thermodynamics, electronics, electromagnetism, and mechanics.

05:02
🎓 The Value of a Double Major and Overlapping Interests

The speaker shares their personal experience of pursuing a double major in mathematics and physics without a predefined plan, but rather by following their interests and taking additional courses that intrigued them. They mention over-pointing, which means taking more than the full course load, but clarify that it was driven by personal interest rather than necessity. The speaker reflects on the benefits of learning from the extra courses and achieving a double major, yet notes that it is not essential for future success. They advise that the skills gained and the ability to demonstrate one's passion and commitment are more important than the specific major chosen, especially when considering graduate school or employment opportunities.

Mindmap
Keywords
💡Math
Mathematics, often referred to simply as 'math' in the script, is a field of study that deals with the properties and relationships of numbers, quantities, shapes, and patterns. It is foundational to the study of physics, as it provides the language and tools necessary to formulate and analyze physical theories. In the video, the speaker emphasizes the importance of math for a physics major, as it is required to understand and describe physical systems through equations and models.
💡Physics
Physics is a natural science that seeks to understand the fundamental principles governing the behavior of the universe. It is closely intertwined with math, as mathematical concepts are used to describe and predict physical phenomena. The script discusses the necessity for a physics major to take math courses, highlighting the role of math in formulating and analyzing physical laws and theories.
💡Intertwined
The term 'intertwined' in the script refers to the close relationship and mutual dependence between math and physics. It suggests that the two subjects are so closely connected that one cannot be fully understood or pursued without the other. This is exemplified by the fact that physics majors are required to take numerous math courses to support their understanding of physical systems.
💡Experimental Physics
Experimental physics is a branch of physics that focuses on conducting experiments to test hypotheses and gather data about the physical world. It is one of the 'two main flavors' of physics mentioned in the script, contrasting with theoretical physics. The speaker notes that most work in a physics department has an experimental bend to it, indicating that practical, hands-on work is a significant part of a physics education.
💡Theoretical Physics
Theoretical physics is the branch of physics that deals with the development of theoretical models and the formulation of general principles. Unlike experimental physics, it does not involve direct experimentation but rather the use of mathematical tools to understand and predict physical phenomena. The script mentions that theoretical physics can sometimes be associated more with the math department, as it involves abstract concepts like string theory and general relativity.
💡String Theory
String theory is a theoretical framework in physics that attempts to reconcile quantum mechanics with general relativity by proposing that the most fundamental constituents of the universe are one-dimensional strings rather than point-like particles. The script describes string theory as 'purely mathematical in a sense' because it currently does not yield testable results through physical experiments but is explored through mathematical equations.
💡General Relativity
General relativity is a theory of gravitation proposed by Albert Einstein, which describes gravity not as a force but as a curvature of spacetime caused by mass and energy. The script mentions aspects of general relativity that deal with differential geometry, which is the study of shapes and their transformations, and how these concepts can be used to describe the universe.
💡Double Major
A double major refers to a student pursuing two separate academic majors simultaneously, in this case, both mathematics and physics. The speaker in the script shares their personal experience of doing a double major, which allowed them to explore a wide range of courses and interests without necessarily committing to one specific field of study.
💡Over Point
Over pointing, as mentioned in the script, refers to the practice of taking more courses than the full-time load required by an academic program. The speaker explains that they took five courses each semester instead of the standard four, allowing them to fulfill the requirements for both a mathematics and physics major without any additional benefits, other than the ability to explore more subjects that interested them.
💡Skills
Skills in the context of the script refer to the abilities and knowledge gained through education that can be applied in various professional and academic settings. The speaker emphasizes that regardless of whether one majors in physics or math, the skills acquired are transferable and can be used to convince future employers or graduate school supervisors of one's capabilities, highlighting the importance of personal qualities and interests over specific academic majors.
Highlights

Math and physics are very similar and intertwined subjects.

A physics major is required to take many math courses.

Physics involves describing physical systems using math and equations.

Math majors are not typically required to take physics courses.

There are two main flavors of physics: experimental and theoretical.

Experimental physics often has an experimental bend with some theory.

Some theoretical physics, like string theory, is purely mathematical.

General relativity and differential geometry are examples of theoretical physics.

Theoretical physics often happens in math departments.

A math major may be better for purely theoretical interests.

A physics major sets you up well for experimental work.

Physics courses often include lab work and dealing with physical concepts.

The difference between majors is not always clear when signing up for university.

Doing a double major in mathematics and physics is possible but not necessary.

Majors are just a line on your degree and do not define future opportunities.

Over pointing, taking more than the full-time load, can be done if interested in extra courses.

Taking extra courses can be beneficial for learning and personal interest.

Whether you major in physics or math, you can sell your skills to future employers or supervisors.

For grad school or a PhD, your interests and abilities are more important than your major.

Transcripts
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