UT Austin SDS 321: Introduction to Probability and Statistics
SDS 321 is UT's calculus-based introduction to probability and statistics: probability theory, random variables, common distributions, and the foundations of statistical inference. It's required for CS majors and popular across quantitative degree plans.
Fennie is independent and not affiliated with The University of Texas at Austin. This is an unofficial study guide.
What makes it hard
This is real probability, not formula-plugging: counting arguments, conditional probability, and random-variable manipulation require setting problems up from scratch, and the calculus prerequisite is used for real in continuous distributions. Students expecting an intro-stats experience get recalibrated by the first problem set.
What you'll cover
- • Counting and combinatorics
- • Conditional probability and Bayes' rule
- • Discrete random variables
- • Continuous random variables and common distributions
- • Expectation and variance
- • Central Limit Theorem and inference foundations
The SDS 321 study guide
How to study for UT Austin SDS 321, step by step.
- 1
Recalibrate on problem set one
SDS 321 is real calculus-based probability, not formulas-and-interpretation stats. Expect setup-from-scratch problems and budget hours accordingly from the start.
- 2
Autopsy every setup error
Wrong sample space, wrong conditioning, wrong distribution choice: probability errors are almost always setup errors, and naming the failure is how you stop repeating it.
- 3
Drill Bayes' rule and conditioning
Conditional probability underlies everything that follows. Work varied problems until reading 'given that' triggers the right structure automatically.
- 4
Keep integration sharp
Continuous distributions mean real integrals of density functions. If M 408 material has rusted, patch it in parallel. The probability is hard enough without fighting calculus too.
Today
Today's SDS 321 plan
What a Fennie Daily Plan looks like for SDS 321. Yours is built from your own syllabus and adapts every day to your deadlines and progress.
First plan free, no card required. Fennie is independent and unaffiliated with your school.
FAQ
Is SDS 321 hard at UT?
Yes, harder than its course number suggests. It's calculus-based probability that demands problem setup skill, not a formulas-and-interpretation stats course. CS students often rank it among their toughest non-CS requirements.
How much calculus does SDS 321 use?
Plenty. Continuous distributions mean integrating density functions, and expectation calculations use real calculus. Comfort with integration at the M 408C/D level is assumed, and rust there compounds the probability difficulty.
How do I study for SDS 321 exams?
Work many problems from scratch and autopsy every setup error, naming whether the sample space, the conditioning, or the distribution choice failed. Probability skill is setup skill, and only varied practice with feedback builds it.
More UT Austin courses
M 408C: Differential and Integral Calculus
M 408C is UT Austin's accelerated first calculus course, covering differential calculus and a substantial dose of integral calculus in a single semester. It's the standard track for engineering, CS, and natural sciences majors, and it moves faster than the equivalent course at almost any other public university.
M 408D: Sequences, Series, and Multivariable Calculus
M 408D completes UT's accelerated calculus sequence, covering sequences and series, Taylor series, and a substantial introduction to multivariable calculus: vectors, partial derivatives, and multiple integrals. It's the second-semester course for the engineering and science track that began with 408C.
M 408K: Differential Calculus
M 408K is the first course in UT's standard-pace calculus sequence (408K, 408L, 408M), covering limits and differential calculus with thorough treatment of applications. It serves students who want the full calculus foundation without the compression of the 408C track.
CS 312: Introduction to Programming
CS 312 is UT Austin's introductory programming course in Java, designed for students with little or no prior coding experience: variables, control flow, methods, arrays, and object basics. It's the entry point to the CS major's programming sequence ahead of CS 314.