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Degree credit won’t be granted for both MATH 121 and MATH one hundred twenty five or MATH one hundred forty five. If you want to switch credit score to substitute for Math 53 then you’ll probably need two courses (one on odd differential equations using linear algebra, and one on PDE/Fourier material). The unified therapy of each linear algebra and multivariable optimization just isn’t covered in a single course accessible to non-majors anywhere else. Many students who study some multivariable calculus earlier than arriving at Stanford find Math 51 to be instructive to take because of its broad scope and synthesis of ideas.

Math 21 is an enforced requirement of all majors within the School of Engineering (including CS and MS&E) and Chemistry and Symbolic Systems, and is required information for Data Science , Geophysics, and Physics. You can not do university-level quantitative work with out this materials. The placement diagnostic is only advisory , and Math 21 content is not in Math fifty one, so placement diagnostic guidance or passing Math 51 doesn’t waive Math 21 necessities.