Department of Mathematics
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Department of Mathematical & Statistical Sciences Prerequisites Guide


First, it is important to know that prerequisites are necessary and generally not waived. Second, if A is a prerequisite to B, and B is a prerequisite to C, the instructor of C will assume you have both A and B. In particular, any course that requires Linear Algebra (MATH 3191) also assumes you have taken Calculus II (MATH 2411). (The MATH numbers are courses available at UCD.) Third, prerequisites can mean different things to different instructors, especially for graduate courses. Some prerequisites are for content. In particular, every graduate course assumes you know some linear algebra. Others are for mathematical maturity, notably some skill in proving theorems. You must also realize that having taken a course several years ago and/or earning a C, might not meet the needs of the prerequisite.


Bottom line:

 Discuss this with your advisor and/or ask the instructor.  



For Graduate Study we can say more. The combination of linear algebra and differential equations (MATH 3195) does not contain enough of either subject for graduate study in mathematics. If you take this one course (e.g., for a B.S. in Engineering), you will need to acquire more knowledge on your own, paticularly in linear algebra.

Here is why the following courses are necessary entry requirements:

Linear Algebra (MATH 3191) contains core mathematical knowledge and is prerequisite to almost every graduate course.
Abstract Mathematics (MATH 3000) contains core mathematical skills (viz., theorem-proving) and is prerequisite to every graduate course.
Advanced Calculus - 8 semester credits (MATH 4310, 4320) contains mathematical knowledge that is essential to studying continuous and numerical mathematics, and it contains essential skills in mathematical reasoning.
Differential Equations (MATH 3200) contains mathematical knowledge that is essential to studying continuous mathematics.
Discrete Mathematics (MATH 4408) contains mathematical knowledge that is essential to studying discrete mathematics.
Probability (MATH 4810) contains basic introduction to probability that is essential to studying statistics or operations research.

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