<p>I am thinking of enrolling in the mathematical studies sequence in my sophomore year. Could anyone explain to me what the course covers? Thanks.</p>
<p>From the Course Catalog (<a href=“2023-2024 Undergraduate Catalog < Carnegie Mellon University):%5B/url%5D”>2023-2024 Undergraduate Catalog < Carnegie Mellon University):</a></p>
<p>21-235 Mathematical Studies I
Fall: 20 units
A unified and intensive presentation of algebra, analysis, and
geometry by a team of instructors. For capable and dedicated
students who can allot a substantial amount of time to the study
of mathematics. Aims at providing a modern background in
mathematics for a career in pure or applied mathematics,
science, or engineering. Topics covered include analysis in IR,
analysis in Euclidean spaces, linear algebra, geometry, algebraic
theories, multi-linear algebra, ordinary differential equations.
Covers and extends the material in the courses Calculus in Three
Dimensions, Advanced Calculus I and II, Algebraic Structures,
and Linear Algebra I. Normally taken by students in the third
semester. Participation by invitation. Interested Freshmen should
contact the Department in March.
Prerequisites: 21132</p>
<p>21-236 Mathematical Studies II
Spring: 20 units
A unified and intensive presentation of algebra, analysis, and
geometry by a team of instructors. For capable and dedicated
students who can allot a substantial amount of time to the study
of mathematics. Aims at providing a modern background in
mathematics for a career in pure or applied mathematics,
science, or engineering. Topics covered include analysis in IR,
analysis in Euclidean spaces, linear algebra, geometry, algebraic
theories, multi-linear algebra, ordinary differential equations.
Covers and extends the material in the courses Calculus in Three
Dimensions, Advanced Calculus I and II, Algebraic Structures,
and Linear Algebra I. Normally taken by students in the fourth
semester. On completion a number of options are open, among
them the Honors Degree Program. Participation by invitation.
Prerequisites: 21235</p>
<p>This two-part course is extremely rigorous and should only appeal to you if you have a firm grounding in mathematics. Those who take the course on a whim usually live to regret it. The course is demanding, and will be happy to eat your soul if you do not enjoy it. *</p>
<p>*Disclaimer: My words of wisdom come from people I have spoken to, not experiences I have had.</p>
<p>You’d have better feel like a Spartan of mathematics before taking this one.</p>