# Complete Course List

For most recently posted information about course instructor and classroom location, please use the term links in the sidebar on the left side of this page.

## MATH 1001 - Excursions in Mathematics

## MATH 1031 - College Algebra and Probability

Overiew: Linear and quadratic equations and inequalities; graphs of equations, including lines, circles, parabolas; composition, inverses of functions; transformations of graphs; linear and quadratic models; polynomials; exponentials, logarithms; counting; probability. 3 credits. 3 lectures, 1 recitation per week.

Prerequisite: 3 years high school math or C- in GC 0731 or placement exam. Trigonometry is not required.

Audience: Business majors wanting to take Math 1142 (Short Calculus). Also works as the prerequisite for Math 1151 (Precalculus II), after which students can take Math 1271 (Calculus I). Satisfies the CLE Mathematical Thinking requirement.

*Class pacing may vary depending on term length. Check the class syllabus for details.*

## MATH 1038 - College Algebra and Probability Submodule

## MATH 1051 - Precalculus I

## MATH 1142 - Short Calculus

Overview: A one-semester tour of differential and integral calculus in one variable, and differential calculus in two variables. Does not involve any trigonometry. Emphasis on formulas and their interpretation and use in applications. 4 credits. 3 lectures, 2 recitations per week.

Prerequisite: 3 ½ years high school math or C- in Math 1031 or Math 1051 or placement exam.

Audience: Business, architecture, and agricultural science majors, and students who want some exposure to calculus. Does not serve as a prerequisite to any higher math course, but does satisfy the CLE Mathematical Thinking requirement.

*Class pacing may vary depending on term length. Check the class syllabus for details.*

## MATH 1151 - Precalculus II

Overview: Trigonometric functions and inverse trigonometric functions: definitions, graphs, identities, applications; real and complex zeros of polynomials; polar coordinates; DeMoivre's Theorem; conic sections; solutions of linear systems by substitution and elimination; systems of nonlinear equations and systems of inequalities; arithmetic sequences and geometric series. 3 credits. 3 lectures, 1 recitation per week.

Prerequisite: 3 ½ years high school math or C- in Math 1031 or Math 1051 or placement exam. Trigonometry is not a prerequisite.

Audience: Students from Math 1051 (Precalculus I) or Math 1031 (College Algebra) and those that need a little refresher course before going on to calculus, often because of the trig. Satisfies the prerequisite for Math 1271 or Math 1371 (Calculus I), and also satisfies the CLE Mathematical Thinking requirement.

*Class pacing may vary depending on term length. Check the class syllabus for details.*

## MATH 1155 - Intensive Precalculus

Overview: Linear and quadratic equations and inequalities; graphs of equations, including lines, circles, parabolas; composition, inverses of functions; transformations of graphs; linear and quadratic models; equations and inequalities involving polynomials and rational functions; exponentials and logarithms with applications. Trigonometric functions and inverse trigonometric functions: definitions, graphs, identities; real and complex zeros of polynomials; polar coordinates; DeMoivre's Theorem; solutions of systems of equations by substitution and elimination; systems of inequalities; arithmetic sequences and geometric series. 5 credits. 3 lectures. 2 recitations per week.

Prerequisite: 3 years high school math or C- in GC 0731 or placement exam.

Audience: Students with several gaps in their readiness for calculus but who feel able (or compelled) to deal with the fast pace of a one-semester precalculus course. Satisfies the prerequisite for Math 1271 or Math 1371 (Calculus) and also satisfies the CLE Mathematical Thinking requirement.

Math 1155 = Math 1051 + Math 1151.

*Class pacing may vary depending on term length. Check the class syllabus for details.*

## MATH 1241 - Calculus and Dynamical Systems in Biology

Course Number and Name | Section | Location | Term | Instructor |
---|---|---|---|---|

1241 Calculus and Dynamical Systems in Biology | 10 | Bruininks Hall 114 | Fall 2020 | Duane Nykamp |

## MATH 1271 - Calculus I

**Equivalent to:**MATH 1281, MATH 1371, MATH 1571H

Overview: Tangent lines; limits and continuity; differentiation: definition, basic rules, chain rule, rules for trig, exp and log functions; implicit differentiation; rates of change, max-min, related rates problems; 2nd derivative test; curve sketching; linear approximation and differentials; L'Hospital's rule; integration: definition, antidifferentiation, area; simple substitution; volumes of solids by cross sections and shells; work; average value of a function. 4 credits. 3 lectures, 2 recitations per week.

Prerequisite: 4 years high school math including trig, or C- in Math 1151 or 1155, or placement exam.

Audience: The beginning of the standard calculus course for students outside of CSE. Also taken by CSE students who need to start calculus, in the middle of the year. Students desiring only 1 semester of calculus should take Math 1142.

*Class pacing may vary depending on term length. Check the class syllabus for details.*

## MATH 1272 - Calculus II

**Equivalent to:**MATH 1282, MATH 1372, MATH 1572H

Overview: Techniques of integration, including integration by parts, simple trig substitutions, partial fractions. Basic numerical integration; improper integrals; arc length; area of surface of revolution. Separable differential equations, Euler's method, exponential growth and decay. Parametric curves and polar coordinates. Review of conic sections. Sequences and series, comparison and ratio tests, Taylor series and polynomials. Vectors in three dimensions, dot product, cross product; lines, vector valued functions of a scalar. 4 credits. 3 lectures, 2 recitations per week.

Prerequisite: C- in Math 1271.

Audience: Part of the standard calculus course for students outside of CSE.

*Class pacing may vary depending on term length. Check the class syllabus for details.*

## MATH 1371 - CSE Calculus I

**Equivalent to:**MATH 1271, MATH 1281, MATH 1571H

## MATH 1372 - CSE Calculus II

**Equivalent to:**MATH 1272, MATH 1282, MATH 1572H

## MATH 1461H - Honors Calculus IA for Secondary students

## MATH 1462H - Honors Calculus IB for Secondary Students

## MATH 1471H - Honors Calculus I for Secondary Students

## MATH 1472H - Honors Calculus II for Secondary Students

## MATH 1473H - Honors Calculus IIA for Secondary Students

## MATH 1474H - Honors Calculus IIB for Secondary Students

## MATH 1571H - Honors Calculus I

**Equivalent to:**MATH 1271, MATH 1281, MATH 1371

Course Number and Name | Section | Location | Term | Instructor |
---|---|---|---|---|

1571H Honors Calculus I | 10 | Scott Hall 4 | Fall 2020 | Anar Akhmedov |

## MATH 1572H - Honors Calculus II

**Equivalent to:**MATH 1272, MATH 1282, MATH 1372