The progression from Pre-Algebra to advanced mathematics in college typically follows a structured sequence of math courses. However, the specific sequence can vary based on your educational institution, major, and individual goals. Here’s a general outline of the math progression:

**MATH 100 – High School Pre-Algebra**

- Pre-Algebra serves as an introduction to basic mathematical concepts, including arithmetic operations, fractions, decimals, and integers.
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**Algebra 140 – High School Algebra 1**

- Algebra 1 builds upon Pre-Algebra and introduces more advanced concepts, such as linear equations, inequalities, polynomials, and graphing.
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**Algebra 150 – High School Geometry**

- Geometry focuses on the properties and relationships of shapes and figures. Topics include angles, triangles, polygons, and geometric proofs.
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**MATH 160 – High School Algebra 2**

- Algebra 2 delves deeper into algebraic concepts, covering quadratic equations, functions, rational expressions, and exponential/logarithmic functions.
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**MATH 170 – Trigonometry**

- Trigonometry explores trigonometric functions, identities, and their applications in solving problems related to angles, triangles, and periodic phenomena.
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**MATH 180 – Honors Pre-Calculus**

- Precalculus serves as a bridge to advanced calculus and covers topics like advanced functions, complex numbers, conic sections, and mathematical modeling.
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**MATH 200 – Calculus 1**

- Calculus 1 is the starting point for college-level calculus. It covers limits, derivatives, and their applications, including rates of change and optimization.
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**MATH 210 – Calculus 2**

- Calculus 2 expands on the topics from Calculus 1 and includes integration, techniques of integration, and applications of definite integrals.

**MATH 230 – Calculus 3 (Multivariable Calculus)**

- Multivariable Calculus extends calculus concepts to functions of multiple variables and includes topics like partial derivatives, multiple integrals, and vector calculus.
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**MATH 240 – Differential Equations**

- Differential Equations focuses on solving ordinary and partial differential equations, which are used to model various phenomena in science and engineering.
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**MATH 250 – Linear Algebra**

- Linear Algebra explores vector spaces, matrices, linear transformations, eigenvalues, and eigenvectors. It is used in various fields, including computer science and physics.
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**MATH 300 – Mathematical Thinking**

- Mathematical thinking, in the context of an introduction to proof writing, involves the systematic and logical approach of constructing rigorous arguments and justifications to solve mathematical problems and establish the truth of mathematical statements.
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**Advanced Mathematics Courses**

- Beyond the core calculus and linear algebra courses, you may have the opportunity to take advanced courses in areas such as abstract algebra, real analysis, complex analysis, and more, depending on your major and interests.

**Specialized Mathematics**

- Depending on your major and career goals, you may take specialized math courses related to your field, such as statistics, numerical analysis, discrete mathematics, or mathematical modeling.

**Graduate-Level Mathematics**

- If you pursue graduate studies in mathematics or a related field, you’ll encounter even more advanced and specialized topics, including topics in pure and applied mathematics.

Please note that this is a general progression, and individual pathways can vary. It’s essential to consult with your academic advisor and refer to your institution’s curriculum requirements to create a tailored math progression that aligns with your academic and career goals.