ucsb · BS

Actuarial Science

UC Santa Barbara

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MATH 3A

4 units

Calculus I

Limits, derivatives, and integrals—foundation for probability, finance, and actuarial modeling.

MATH 3B

4 units

Calculus II

Integration techniques, sequences, and series; prerequisite for linear algebra and vector calculus.

CMPSC 8

4 units

Introduction to Python

Python programming for data analysis and computation—required preparation for actuarial coursework.

Self-learnable

MATH 4A

4 units

Linear Algebra

Vector spaces, matrices, and linear transformations; core math for statistics and actuarial models.

CMPSC 9

4 units

Intermediate Python

Intermediate Python and software skills; recommended over CMPSC 16 for actuarial majors.

Self-learnable

MATH 6A

4 units

Vector Calculus I

Multivariable calculus: partial derivatives, multiple integrals, and vector fields.

MATH 4B

4 units

Differential Equations

Ordinary differential equations and applications in science, economics, and risk modeling.

PSTAT 10

5 units

Probability and Statistics

Introductory probability and statistics; gateway to upper-division PSTAT actuarial sequence.

MATH 8

5 units

Transition to Proofs

Proof writing and discrete math; required for upper-division probability and mathematical statistics.

MATH 6B

4 units

Vector Calculus II

Line and surface integrals, Green's, Stokes', and divergence theorems.

PSTAT 120A

4 units

Probability

Rigorous probability theory: random variables, distributions, and limit theorems for actuarial exams.

PSTAT 120B

4 units

Statistics

Statistical inference: estimation, hypothesis testing, and confidence intervals.

PSTAT 171

4 units

Stochastic Calculus

Brownian motion, Itô calculus, and stochastic processes for quantitative finance and actuarial science.

PSTAT 160A

4 units

Mathematical Statistics

Theory of point estimation, sufficiency, and statistical decision theory.

PSTAT 126

4 units

Regression Analysis

Linear and multiple regression, model diagnostics, and applied statistical modeling.

PSTAT 170

4 units

Mathematical Finance

Option pricing, portfolio theory, and financial derivatives using stochastic methods.

PSTAT 174

4 units

Financial Mathematics

Interest theory, annuities, and actuarial mathematics aligned with SOA Exam FM topics.

PSTAT 172A

4 units

Actuarial Models I

Life contingencies, survival models, and life insurance mathematics (Exam LTAM prep).

PSTAT 172B

4 units

Actuarial Models II

Loss models, credibility, and short-term insurance actuarial methods.

PSTAT 173

4 units

Actuarial Statistics

Statistical methods for actuarial modeling and Exam STAM preparation.

CareerActuary

SOA / CAS Actuary

Entry $62K–$92K/yr

Pricing and reserving for insurance, pensions, and enterprise risk—SOA or CAS credential track.

CareerRisk Analyst

Enterprise Risk & Insurance

Entry $55K–$85K/yr

Quantify and manage financial, operational, and insurance risk for firms and regulators.

CareerQuant Finance

Quantitative Finance

Entry $85K–$135K/yr

Derivatives pricing, trading strategies, and risk analytics in banking and asset management.

CareerBS/MS Pathway

Combined BS/MS + Industry Thesis

Graduate stipend or fellowship — typically $22K–$42K/yr; not full-time W-2 salary.

UCSB actuarial BS/MS program with accelerated graduate coursework and industry thesis option.

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Critical path

MATH 3A -> MATH 3B -> MATH 4A -> MATH 8 -> PSTAT 120A -> PSTAT 171 -> PSTAT 170 -> PSTAT 172A -> PSTAT 172B -> PSTAT 173

Top bottlenecks

MATH 3A unlocks 17 downstream courses.
MATH 3B unlocks 15 downstream courses.
MATH 4A unlocks 12 downstream courses.

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