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Complete Course List

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MATH 1001 - Excursions in Mathematics

3.0 cr; Prereq: Prereq-3 yrs high school math or placement exam or grade of at least C- in GC 0731;
Fall, Spring, Every Year
Breadth of mathematics, its nature/applications. Power of abstract reasoning.

MATH 1031 - College Algebra and Probability

3.0 cr; Prereq: 3 yrs high school math or grade of at least C- in GC 0731;
Credit will not be granted if credit has been received for: 1051, 1151, 1155
Fall, Spring, Every Year
Algebra, analytic geometry explored in greater depth than is usually done in three years of high school mathematics. Additional topics from combinations, permutations, 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

1.0 cr; Prereq: 1051 or 1151 or 1155;
A-F or Aud
Fall, Spring, Summer, Every Year
For students who need probability/permutations/combinations portion of 1031. Meets with 1031, has same grade/work requirements.

MATH 1051 - Precalculus I

3.0 cr; Prereq: 3 yrs high school math or placement exam or grade of at least C- in GC 0731;
Credit will not be granted if credit has been received for: 1031, 1151
Fall, Spring, Every Year
Algebra, analytic geometry, exponentials, logarithms, beyond usual coverage found in three-year high school mathematics program.

MATH 1142 - Short Calculus

4.0 cr; Prereq: Prereq-3 1/2 yrs high school math or grade of at least C- in [1031 or 1051];
Fall, Spring, Summer, Every Year
Derivatives, integrals, differential equations, partial derivatives, maxima/minima of functions of several variables covered with less depth than full calculus. No trigonometry included.

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

3.0 cr; Prereq: 3 1/2 yrs high school math or placement exam or grade of at least C- in [1031 or 1051];
Credit will not be granted if credit has been received for: 1155
Fall, Spring, Every Year
Algebra, analytic geometry, trigonometry, complex numbers, beyond usual coverage found in three-year high school mathematics program.

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

5.0 cr; Prereq: Prereq-3 yrs high school math or placement exam or grade of at least C- in GC 0731;
Credit will not be granted if credit has been received for: 1031, 1051, 1151
Fall, Spring, Summer, Every Year
Algebra, analytic geometry, exponentials, logarithms, trigonometry, complex numbers, beyond usual coverage found in three-year high school mathematics program. One semester version of 1051-1151.

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

4.0 cr; Prereq: prereq: [4 yrs high school math including trig or satisfactory score on placement test or grade of at least C- in [1151 or 1155]], CBS student.;
Fall, Spring
Differential/integral calculus with biological applications. Discrete/continuous dynamical systems. Models from fields such as ecology/ evolution, epidemiology, physiology, genetic networks, neuroscience, and biochemistry.
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

4.0 cr; Prereq: 4 yrs high school math including trig or placement test or grade of at least C- in 1151 or 1155;
Fall, Spring, Every Year
Differential calculus of functions of a single variable. Introduction to integral calculus of a single variable, separable differential equations. Applications: max-min, related rates, area, volume, arc-length.
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

4.0 cr; Prereq: [1271 or equiv] with grade of at least C-;
Spring, Summer, Every Year
Techniques of integration. Calculus involving transcendental functions, polar coordinates. Taylor polynomials, vectors/curves in space, cylindrical/spherical coordinates.
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

4.0 cr; Prereq: CSE, background in [precalculus, geometry, visualization of functions/graphs], #; familiarity with graphing calculators recommended;
Fall, Every Year
Differentiation of single-variable functions, basics of integration of single-variable functions. Applications: max-min, related rates, area, curve-sketching. Emphasizes use of calculator, cooperative learning.
Equivalent to: MATH 1271, MATH 1281, MATH 1571H

MATH 1372 - CSE Calculus II

4.0 cr; Prereq: CSE, grade of at least C- in 1371;
Spring, Every Year
Techniques of integration. Calculus involving transcendental functions, polar coordinates, Taylor polynomials, vectors/curves in space, cylindrical/spherical coordinates. Emphasizes use of calculators, cooperative learning.
Equivalent to: MATH 1272, MATH 1282, MATH 1572H

MATH 1461H - Honors Calculus IA for Secondary students

2.0 cr; Prereq: High school student, #;
Fall, Every Year
Accelerated sequence. Functions, parametric equations and polar coordinates, and vectors are presented using a geometric approach. Limits/continuity, derivates.

MATH 1462H - Honors Calculus IB for Secondary Students

3.0 cr; Prereq: High school student, #;
Spring, Every Year
Accelerated sequence. Differentiation, foundations of integration. Proofs, formal reasoning.

MATH 1471H - Honors Calculus I for Secondary Students

5.0 cr; Prereq: High school student, #;
Fall, Every Year
Differentiation/integration of single-variable functions. Emphasizes concepts/explorations.

MATH 1472H - Honors Calculus II for Secondary Students

5.0 cr; Prereq: 1471H;
Fall, Every Year
Sequences/series, vector functions, differentiation in multivariable calculus. Introduction to first-order systems of differential equations. Emphasizes concepts/explorations.

MATH 1473H - Honors Calculus IIA for Secondary Students

2.0 cr; Prereq: honors;
Fall, Every Year
Accelerated honors sequence for selected mathematically talented high school students. Introduction to linear methods and first order differential equations.

MATH 1474H - Honors Calculus IIB for Secondary Students

3.0 cr; Prereq: honors;
Spring, Every Year
Accelerated honors sequence for selected mathematically talented high school stduents. Multivariable calculus through differentiation. Focuses on proofs and formal reasoning.

MATH 1571H - Honors Calculus I

4.0 cr; Prereq: CSE Honors office approval;
Fall, Every Year
Differential/integral calculus of functions of a single variable. Emphasizes hard problem-solving rather than theory.
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

4.0 cr; Prereq: Grade of at least C- in 1571, CSE Honors Office approval; parts of this sequence may be taken for cr by students who have taken non-honors calc classes;
Fall, Spring, Every Year
Continuation of 1571. Infinite series, differential calculus of several variables, introduction to linear algebra.
Equivalent to: MATH 1272, MATH 1282, MATH 1372