Entry-Level Courses for Freshmen and Sophomores

Please consult First Steps in Math for assistance in selecting an appropriate course.

MATH 1006 - Academic Support for MATH 1106

Fall 2026, Spring 2027. 1 credit. S/U grades only.

Corequisites: MATH 1106.

Reviews material presented in MATH 1106 lectures and provides further instruction for students who need reinforcement, including problem-solving techniques and tips as well as prelim review.  Not a substitute for attending MATH 1106 lectures or discussions. Students should contact their college for the most up-to-date information regarding if and how credits for this course will count toward graduation, and/or be considered regarding academic standing.

MATH 1011 - Academic Support for MATH 1110

Fall 2026, Spring 2027. 1 credit. S/U grades only.

Corequisites: MATH 1110.

Reviews material presented in MATH 1110 lectures and provides further instruction for students who need reinforcement, including problem-solving techniques and tips as well as prelim review.   Not a substitute for attending MATH 1110 lectures or discussions. Students should contact their college for the most up-to-date information regarding if and how credits for this course will count toward graduation, and/or be considered regarding academic standing.

MATH 1012 - Academic Support for MATH 1120

Spring 2027. 1 credit. S/U grades only.

Corequisites: MATH 1120.

Reviews material presented in MATH 1120 lectures and provides further instruction for students who need reinforcement, including problem-solving techniques and tips as well as prelim review. Not a substitute for attending MATH 1120 lectures or discussions. Students should contact their college for the most up-to-date information regarding if and how credits for this course will count toward graduation, and/or be considered regarding academic standing.

MATH 1021 - Academic Support for MATH 2210

Not expected 2026-2027. 1 credit. S/U grades only.

Corequisites: MATH 2210.

Reviews material presented in MATH 2210 lectures and provides further instruction for students who need reinforcement, including problem-solving techniques and tips as well as prelim review. Not a substitute for attending MATH 2210 lectures or discussions. Students should contact their college for the most up-to-date information regarding if and how credits for this course will count toward graduation, and/or be considered regarding academic standing.

MATH 1101 - Calculus Preparation

Fall 2026. 2 credits. Letter grades only.

Introduces topics in calculus: limits, rates of change, definition of and techniques for finding derivatives, relative and absolute extrema, and applications. The calculus content of the course is similar to 1/3 of the content covered in MATH 1106 and MATH 1110. In addition, the course includes a variety of topics of algebra, with emphasis on the development of linear, power, exponential, logarithmic, and trigonometric functions. Because of the strong emphasis on graphing, students will have a better understanding of asymptotic behavior of these functions.

MATH 1105 - Finite Mathematics for the Life and Social Sciences

Spring 2027. 3 credits. Student option grading.

Prerequisites: three years of high school mathematics, including trigonometry and logarithms.

Introduction to linear algebra, probability, and Markov chains that develops the parts of the theory most relevant for applications. Topics include: equations of lines, the method of least squares, solutions of linear systems, matrices; basic concepts of probability, permutations, combinations, binomial distribution, mean and variance, and the normal approximation to the binomial distribution. Examples from biology and the social sciences are used.

MATH 1106 - Modeling with Calculus for the Life Sciences

Fall 2026, Spring 2027. 4 credits. Student option grading.

Forbidden Overlaps: MATH 1106, MATH 1110

Prerequisites: three years of high school mathematics (including trigonometry and logarithms) or a precalculus course (e.g., MATH 1101). No prior knowledge of calculus is required.

The goal of this course is to give students a strong basis in quantitative skills needed in the life and social sciences. We will focus on modeling using fundamental concepts from calculus developed in the course, including derivatives, integrals, and introductory differential equations. Examples from the life sciences are used throughout the course, including predator-prey populations. We will discuss mathematical models describing the evolution of these populations, analyze quantitative and qualitative properties to make predictions about these populations, and discuss assumptions and limitations of these models. Derivatives and integrals will be covered with a more applied focus than in MATH 1110 or a typical high school calculus course. Students who plan to take more than one semester of calculus should take MATH 1110 rather than MATH 1106.

MATH 1110 - Calculus I

Fall 2026, Spring 2027. 4 credits. Student option grading.

Forbidden Overlaps: MATH 1106, MATH 1110

Prerequisites: three years of high school mathematics (including trigonometry and logarithms) or a precalculus course (e.g., MATH 1101).

MATH 1110 can serve as a one-semester introduction to calculus or as part of a two-semester sequence in which it is followed by MATH 1120. Topics include functions and graphs, limits and continuity, differentiation and integration of algebraic, trigonometric, inverse trig, logarithmic, and exponential functions; applications of differentiation, including graphing, max-min problems, tangent line approximation, implicit differentiation, and applications to the sciences; the mean value theorem; and antiderivatives, definite and indefinite integrals, the fundamental theorem of calculus, and the area under a curve.

MATH 1120 - Calculus II

Fall 2026, Spring 2027. 4 credits. Student option grading.

Forbidden Overlaps: MATH 1120, MATH 1910

Prerequisites: MATH 1110, excellent performance in MATH 1106, or equivalent AP credit.

Focuses on integration: applications, including volumes and arc length; techniques of integration, approximate integration with error estimates, improper integrals, differential equations and their applications. Also covers infinite sequences and series: definition and tests for convergence, power series, Taylor series with remainder, and parametric equations.

MATH 1300 - Mathematical Explorations

Fall 2026, Spring 2027. 3 credits. Student option grading.

Permission of department required.

For students who wish to experience how mathematical ideas naturally evolve. The course emphasizes ideas and imagination rather than techniques and calculations. Homework involves students in actively investigating mathematical ideas. Topics vary depending on the instructor. Some assessment through writing assignments.

MATH 1340 - Strategy, Cooperation, and Conflict

Spring 2027. 3 credits. Student option grading.

We apply mathematical reasoning to problems arising in the social sciences. We discuss game theory and its applications to questions of governing and the analysis of political conflicts. The problem of finding fair election procedures to choose among three or more alternatives is analyzed.

MATH 1710 - Statistical Theory and Application in the Real World

Spring 2026 is the last offering of MATH 1710. The course has been discontinued.

MATH 1900 - Introduction to Calculus For Engineers

Summer 2026. 3 credits. Letter grades only.

We will review material from differential calculus and introduce topics from integral calculus to prepare students for MATH 1910. The first half of the course reviews limits and continuity, differentiation, and linear approximation. The second half of the course introduces antiderivatives, definite and indefinite integrals, the Fundamental Theorem of Calculus, integration techniques (e.g., substitution and integration by parts), and some applications of integration.

Enrollment limited to: PSSP students in the Engineering Program.

MATH 1910 - Calculus For Engineers

Summer 2026 (3-week 2), Fall 2026, Spring 2027. 4 credits. Student option grading.

Forbidden Overlaps: MATH 1120, MATH 1910

Prerequisites: three years of high school mathematics, including trigonometry and logarithms, and at least one course in differential and integral calculus (e.g., MATH 1110), or equivalent AP credit.

Essentially a second course in calculus and the first in a sequence designed for engineers that assumes familiarity with differential calculus at the level of MATH 1110. Topics include techniques of integration, finding areas and volumes by integration, exponential growth, partial fractions, infinite sequences and series, tests of convergence, and power series.

MATH 1920 - Multivariable Calculus for Engineers

Summer 2026 (3-week 3), Fall 2026, Spring 2027. 4 credits. Student option grading.

Forbidden Overlaps: MATH 1920, MATH 2220, MATH 2240

Prerequisites: MATH 1910 or equivalent AP credit.

Introduction to multivariable calculus. Topics include partial derivatives, double and triple integrals, line and surface integrals, vector fields, Green’s theorem, Stokes’ theorem, and the divergence theorem.

MATH 2210 - Linear Algebra

Fall 2026, Spring 2027. 4 credits. Student option grading.

Forbidden Overlaps: MATH 2210, MATH 2230, MATH 2310, MATH 2940

Prerequisites: MATH 1110-MATH 1120 with high performance, equivalent AP credit, or permission of department.

An introduction to linear algebra for students who plan to major or minor in mathematics or a related field. Topics include vector algebra, linear transformations, matrices, determinants, orthogonality, eigenvalues, and eigenvectors. Applications are made to linear differential or difference equations. Lectures will introduce students to formal proofs, and students will be required to produce some proofs in their homework and on exams. For a more applied version of this course, see MATH 2310.

MATH 2220 - Multivariable Calculus

Fall 2026, Spring 2027. 4 credits. Student option grading.

Forbidden Overlaps: MATH 1920, MATH 2220, MATH 2240

Prerequisites: MATH 2210.

An introduction to multivariable calculus for students who plan to major or minor in mathematics or a related field. Topics include differential and integral calculus of functions in several variables, line and surface integrals as well as the theorems of Green, Stokes and Gauss.

MATH 2230 - Theoretical Linear Algebra and Calculus

Fall 2026. 5 credits. Student option grading.

Forbidden Overlaps: MATH 2210, MATH 2230, MATH 2310, MATH 2940

Prerequisites: MATH 1110-MATH 1120 with a grade of A– or better, equivalent AP credit, or permission of instructor.

Designed for students who have been extremely successful in their previous calculus courses and for whom the notion of solving very hard problems and writing careful proofs is highly appealing, MATH 2230-MATH 2240 provides an integrated treatment of linear algebra and multivariable calculus at a higher theoretical level than in MATH 2210-MATH 2220. Topics covered in MATH 2230 include vectors, matrices, and linear transformations; differential calculus of functions of several variables; inverse and implicit function theorems; quadratic forms, extrema, and manifolds; multiple and iterated integrals.

MATH 2240 - Theoretical Linear Algebra and Calculus

Spring 2027. 5 credits. Student option grading.

Forbidden Overlaps: MATH 1920, MATH 2220, MATH 2240

Prerequisites: MATH 2230.

Designed for students who have been extremely successful in their previous calculus courses and for whom the notion of solving very hard problems and writing careful proofs is highly appealing, MATH 2230-MATH 2240 provides an integrated treatment of linear algebra and multivariable calculus at a higher theoretical level than in MATH 2210-MATH 2220. Topics covered in MATH 2240 include vector fields; line integrals; differential forms and exterior derivative; work, flux, and density forms; integration of forms over parametrized domains; and Green's, Stokes', and divergence theorems.

MATH 2310 - Linear Algebra for Data Science

Fall 2026, Spring 2027. 4 credits. Student option grading.

Forbidden Overlaps: MATH 2210, MATH 2230, MATH 2310, MATH 2940

Prerequisites: MATH 1106, MATH 1110, or equivalent AP credit.

An introduction to linear algebra for students interested in applications to data science. The course diverges from traditional linear algebra courses by emphasizing data science applications while teaching similar concepts. Key topics include matrices as data tables, high-dimensional datasets, singular value decomposition for data compression, and linear transformations in computer graphics. Students who take MATH 2310 may need more foundational coursework before pursuing further study in mathematics.

MATH 2930 - Differential Equations for Engineers

Summer 2026 (6-week), Fall 2026, Spring 2027. 4 credits. Student option grading.

Prerequisites: MATH 1920.

An introduction to ordinary and partial differential equations. Topics include first-order equations (separable, linear, homogeneous, exact); mathematical modeling (e.g., population growth, terminal velocity); qualitative methods (slope fields, phase plots, equilibria and stability); numerical methods; second-order equations (method of undetermined coefficients, application to oscillations and resonance, boundary-value problems and eigenvalues); and Fourier series. A substantial part of this course involves partial differential equations, such as the heat equation, the wave equation, and Laplace's equation. MATH 2930 and MATH 2940 are independent and can be taken in either order; they should not be taken in the same semester.

MATH 2940 - Linear Algebra for Engineers

Summer 2026 (6-week), Fall 2026, Spring 2027. 4 credits. Student option grading.

Forbidden Overlaps: MATH 2210, MATH 2230, MATH 2310, MATH 2940

Prerequisites: MATH 1920.

Linear algebra and its applications. Topics include matrices, determinants, vector spaces, eigenvalues and eigenvectors, orthogonality and inner product spaces. Applications include brief introductions to difference equations, Markov chains, and systems of linear ordinary differential equations. May include computer use in solving problems. MATH 2930 and MATH 2940 are independent and can be taken in either order; they should not be taken in the same semester.

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