What Math Concepts Are Needed to Understand College Level Physics Classes?
What Skills Do I Need to Study Physics?
Unit: Basic math concepts for physics (Prerequisite)
This is what it found:
Group Theory, Differential Geometry, Hilbert Space, and Topology are also important to modern physics. No one ever seems to mention those. You pretty much have to be a mathematician to get into theoretical physics.
Conceptual Physics: very little math: addition, subtraction, multiplication, division, squaring and square-rooting numbers. (IMHO, Conceptual Physics is the most important. If you have a conceptual understanding of what's going on, you can go deep later in your education.
College Physics if you're NOT a Physics or Engineering major: Pretty much the same as High School regular Physics. College Physics if you're ARE a Physics or Engineering major: Not too much difference from AP C High School Physics! It's a little tougher, and you'll be competing against a higher caliber of students.
Learn how we define logarithms and use this definition in order to evaluate various logarithms. For example, evaluate log_2 (8) as 3 by realizing that 2^3=8.
Learn about a very special constant in math that has a pivotal role in the world of exponential and logarithmic function, the constant e.
Learn how the trigonometric ratios are extended to all real numbers using algebra. Start solving simple problems that involve this new definition of the trigonometric functions.
Learn how the graphs of y=sin (θ), y=cos (θ), and y=tan (θ) look, using the unit circle definition of the functions.
Learn about very useful trigonometric identities that arise by considering different properties of the unit circle definition.
Extend your understanding of the relationship between the inputs of a function and the outputs of that function.
Learn about features of functions that have distinct graphical representations: intervals where the function is always positive or always negative, and intervals where the function is always increasing or always decreasing.
Algebra. If you haven't mastered algebra, then you won't be able to master calculus, which is a physics prerequisite. Algebra teaches the basics of abstract mathematical thinking and after students master basic algebra equations, they'll learn about concepts directly relevant to physics.
The latter is extremely relevant to physics because you'll work with directional derivatives and similar concepts in three-dimensional space.
Analytic geometry, which combines algebra and geometry, can also help you master physics because it helps you solve algebraic problems regarding physical objects.
In quantum mechanics, you'll learn that matter and energy are both particles and waves, and make predictions about an object's behavior based on this knowledge. This type of physics examines physical phenomena that occur on the micro level, and relies on probabilistic formulas to draw conclusions about tiny particles.
Physics is often treated as an esoteric, challenging field, but much of physics is very basic, describing how things move in everyday life. You don't have to be a mathematical genius to study physics, but you do need to know the basic s, and college physics classes often use calculus and algebra.
Ten courses in physics and mathematics are required to complete the physics major. These include:
In addition to the required sequence courses listed above, we offer a number of intermediate and upper level electives. Note that several of these courses are offered on an alternating year basis, so physics majors will have an opportunity to take these courses in their junior or senior years.
The degree with honors in physics can be earned by carrying out a senior honors thesis project in addition to the requirements listed above.