Recommended Math by Majors
So, ultimately, which level of math should I take???
Do I even need a higher-level math?
So, ultimately, which level of math should I take???
Do I even need a higher-level math?
Even after reading through all the other pages, you might still be questioning, "but still, so which higher/advanced math should I take? Do I even need a higher-level math for my path?🤔"
It is indeed very complicated to choose what classes to take because many factors are considered when signing up for classes.
Whether you are IBDC or not, whether you have taken AP Calculus AB or BC before junior year and what score you got, whether you have any conflicts with other subject classes for IBDC criteria, whether you are planning to apply to US schools or non-US schools, whether you want to double up in math, and so many other factors.
However, I would say your passion and aspiring major in college are the most considered factors for most people. So in this section, I will introduce some basic terms of majors and math courses corresponding to some specific majors, and how to do research and make your own decision.
STEM refers to the academic disciplines of:
Science
Technology
Engineering
Mathematics
So, all the other majors can be called "non-STEM"
One thing that you should be careful of is, that the medical/dental field falls under health science, which is a separate group from STEM, even though "health science" has the word "science". Health science is not a major, but a group of fields/disciplines of study. So, some people might have STEM degrees for undergraduates, but not all Pre-Med/Medical/Dental people are STEM majors.
"Liberal Arts" majors consist of:
History
Literature
Writing
Philosophy
Sociology
Psychology
Creative Arts
and many more!
Typically any IB Math SL or equivalent level is sufficient for liberal arts majors.
Below are the recommended IB/AP math courses for some majors that require math!
** All the bullet points are read as "or", which means you should interpret them as IB or AP route, not as IB and AP **
(NOT in the order of recommendation)
AA = Analysis and Approaches
AI = Applications and Interpretation
HL = Higher Level
SL = Standard Level
Engineering/Technology
AA/AI HL
AP Calculus AB/BC
AP Statistics, if one is not taking any of HL maths
A combination of [AP Calculus AB + one IB HL] or any higher combinations would be the best-case scenario!
Business/Finance
AA/AI HL
AA/AI SL
AP Statistics and AP Calculus AB
Actuarial Science (The discipline that applies mathematical and statistical methods to the systematic observation of natural events)
AA/AI HL
AP Statistics and AP Calculus BC
Medicine/Health Sciences/Dentistry
AA SL (more recommended, as one would be more focused on science subjects)
AA HL
AP Calculus AB or AP Statistics
Law (If you intend to pursue any law career related to science policies and laws)
AA HL
AI HL
AP Calculus AB and AP Statistics
AA SL (if you intend to pursue liberal arts majors for undergraduate)
Sciences (Physics, Biology, Biochemistry, Chemistry, Geography, Pharmacy, etc.)
AA HL
AI HL
AP Statistics and AP Calculus AB/BC
For Biology, AP Calculus AB or equivalent level is sufficient
For Geography, AA SL or equivalent level is sufficient, but for Geography in Bachelor of Science (emphasis on science), HL maths or equivalent is recommended
Architecture
AA SL
AP Calculus AB or AP Statistics might be beneficial, but not necessary
Economics
AA HL (for very competitive universities)
AP Statistics and AP Calculus AB (AP Calculus BC for very competitive universities)
** Some Japanese schools or UK schools (mostly Japanese schools) only accept IB AA HL or AP Calculus BC for some specific STEM majors. Make sure you do research on the schools before you choose a class to take!! **
You would search:
"[college/university name] [major]"
to find out which specific courses are the graduation requirements, then choose the appropriate math course to take. You can compare the required course descriptions to the list of topics of SJS math courses.
For example:
I can search for "UIUC math major" and navigate to "Undergraduate Programs" and "Degree Requirement". Below are the list of required courses for graduating UIUC with a Bachelor of Science in Mathematics.
Calculus III
Fundamental Mathematics
Abstract Linear Algebra
Abstract Algebra
Real Analysis
Real Variables
Probability Theory
Intro to Computer Science
Two or more courses from the following:
Non-Euclidean Geometry
Euclidean Geometry
Differential Geometry
Vector and Tensor Analysis
Differential Equations
Applied Complex Variables
Complex Variables
Number Theory
Some schools' websites allow you to click on the course names, then you would be able to see further details and the prerequisites of each course. For UIUC math majors, I can conclude that IB AA HL or AP Calculus BC would be the best, since most of the required courses are based on analytic/abstract math and Calculus.
This research technique doesn't just apply to math courses, but it works for any other subjects! So do as much research as possible.
Every school has different acronyms for different subjects. Some schools use MATH, some use MAT, some use SM (for Science and Math), and some might not even use acronyms but label each subject with numbers. So of course it is very confusing when you just start doing research.
If you have done research but need help with identifying college math (or science) courses and deciding on a class, feel free to email me, see me, or even message me on Whatsapp if you have my number! We can look through the websites together. 😁 Just let me know when you want to come in if you want to see me in school.
I am all open to providing any help that you need.