Course Descriptions | Alice Lloyd College Natural Science and Mathematics Division

**100 Basic Math for College Students**

Prerequisite: Appropriate score on the math placement test.

Offered: Fall and Spring

3 credit hours

This course stresses the fundamentals of mathematics and is designed to prepare the student for Math 110 and Math 112. Topics covered will include: whole numbers, decimals, rational numbers, radicals, measures of central tendency, integers, algebraic expressions, and equations in one-variable.

**110 Fundamentals of College Mathematics**

Prerequisite: Appropriate score on math placement test.

Offered: Fall and Spring

4 credit hours

This course is designed to be the terminal math course for nonscience majors. Topics covered will include: review of basic math, set theory, logic, series, exponents, systems of equations, interest, geometry, graphing, probability and statistics, and applications.

**112 Intermediate Algebra**

Prerequisite: Appropriate score on math placement test.

Offered: Fall and Spring

4 credit hours

This course is designed to prepare the student for college algebra. It is a comprehensive course starting with pre-algebra material and extending through a second year algebra course. Topics covered will include: general math, order of operations, graphing, real numbers, exponents, polynomials, rational numbers, complex numbers, absolute value, equations, inequalities, quadratics, and variation and proportion.

**113 College Algebra**

Prerequisite: Admission by entrance exam or completion of Math 112 (Intermediate Algebra) with a “C” or better.

Offered: Fall and Spring

4 credit hours

Topics include Equations and Inequalities, Functions and Graphs, Polynomial and Rational Functions, Exponential and Logarithmic Functions. This course is similar to high school Precalculus and assumes students have successfully completed two years of high school Algebra and one year of high school geometry.

**114 Trigonometry**

Prerequisite: Math 113 or permission of instructor

Offered: Spring

3 credit hours

Topics include properties of trigonometric functions, trigonometric identities, applications to analytical geometry, vectors, polar coordinates, and complex numbers. Intended to prepare students for courses in calculus and physics.

**125 Differential Calculus**

Prerequisite: Recommended minimum ACT Math score of 24, or successful completion of Math 114.

Offered: Fall

4 credit hours

Topics covered will include: limits, continuity, differentiation, applications of derivatives, curve sketching, antidifferentiation, and applications of the definite integral.

**126 Integral Calculus**

Prerequisite: Math 125

Offered: Spring

4 credit hours

Topics covered will include: methods of integration, series, conic sections, polar coordinates, and applications to many fields.

**201 Basic Concepts and Teaching of Elementary Math I **

Prerequisite: Math 110, 112, or 113.

Offered: Fall

4 credit hours

A study of the history of numbers, set theory, whole numbers, system of integers, and other bases. An emphasis will be placed on understanding these mathematical concepts and developing strategies for teaching them to elementary school students. Classroom teaching and observation will be required of all students. The lab experiences will include areas such as Introduction to NCTM Standards and Analysis of Documents. The introduction of strategies in the use of manipulatives and technology is to be incorporated into the lesson plan process. A field experience of 5 hours is required. (Cannot be used to fill Natural Science/Math area of the General Education Requirement.) Lecture, three credit hours; lab, one credit hour.

**202 Basic Concepts and Teaching of Elementary Math II**

Prerequisite: Math 201

Offered: Spring

4 credit hours

A continuation of Math 201; additional topics include rational numbers, real numbers, topics in geometry, and elementary logic. An emphasis will be placed on understanding mathematical concepts and developing strategies for teaching such concepts. The lab experiences will utilize NCTM standards to discover relationships, generalities, and problem solving through the use of manipulatives and technology, which coincide with specific content with innovative strategies, reflected through a well-developed lesson plan. Analyze various learning theories and provide hands on exercises to evoke effective teaching practices through lesson plan design. A field experience of 5 hours is required. (Cannot be used to fill Natural Science/Math area of the General Education Requirement.) Lecture, three credit hours; lab, one credit hour.

**225 Multivariable Calculus**

Prerequisite: Math 126

Offered: Fall

4 credit hours

Topics covered will include: vectors, graphing in space, surfaces, areas, volumes, cylindrical and spherical coordinates, functions of more than one variable, partial derivatives, multiple integration, Green’s Theorem, Stoke’s Theorem, and Gauss’s Divergence Theorem.

* *226 Differential Equations

*226 Differential Equations*

Prerequisite: Math 225

Offered: Spring, as needed

4 credit hours

Topics covered will include: first order equations, second order equations, linear equations of arbitrary order, series solutions, the Laplace Transform, systems of linear equations, numerical methods, and Fourier Series.

**227 Linear Algebra**

Prerequisite: ACT score of 24 in Mathematics or completion of Math 114 with a grade of “C” or better.

Offered: Spring

3 credit hours

Systems of linear equations, matrices and matrix operations, determinants, vectors in the plane and space, linear combinations, linear independence, dot and cross products, groups, rings, fields and vector spaces, basis and dimension, orthonormal bases, linear transformations, eigenvalues and eigenvectors, and appropriate applications.

**250 Introduction to Probability and Statistical Inference**

Prerequisite: Math 110, 112, 113, 114, or 125

Offered: Fall, as needed

4 credit hours

Probability in the social and nature sciences. Topics such as permutations, combinations, discrete sample spaces, mutually exclusive and independent events, conditional probability, random drawings, binomial distribution, Bayes’ Theorem, central limit theorem, continuous probability distributions, sampling, estimation, hypothesis testing, linear regression and correlation analysis.

**315 Topics in Algebra and Discrete Mathematics**

Prerequisite: Math 113, 125, and 126

Offered: Spring, even years

3 credit hours

This course is designed to survey topics in discrete mathematics, linear algebra, and abstract algebra. The following topics will be addressed: matrix algebra (Gauss reduction process, inverses, determinants), simple linear programming, symbolic logic, set theory, combinations, numbers to other bases, and number theory.

**330 Foundations of Geometry**

Prerequisite: Math 113 or ACT Math score of 24

Offered: Spring

3 credit hours

Axiomatic development of Euclidean geometry.

**460-469 Special Topics in Mathematics**

Prerequisite: Junior standing and permission of instructor

Offered: As needed

1-4 credit hours

Elective courses may be offered as special topics in Mathematics on an occasional basis depending on the availability and interests of students and faculty.