20000

MATH 20100 Calculus I

Limits, continuity, derivatives, differentiation and its applications, differentials, definite and indefinite integrals.

Credits

4

Prerequisites

A grade of C or higher in MATH 19500 or placement by the Department. Credit will be given for only one of the following courses: MATH 20100 (part of sequence MATH 20100, MATH 21200, MATH 21300).

Contact Hours

4 hr./wk.

MATH 20200 Calculus II

Techniques Introduction to integration and areas; application to solids of revolution and work; definition of exponential and logarithmic functions; integration of trigonometric, exponential and logarithmic functions, analytical and numerical methods of integration, improper and infinite integrals, infinite sequences and series,polar coordinates; parametric equations, vectors and the geometry of space, functions of several variables and partial differentiation representation of curves.

Credits

4

Prerequisites

A grade of C or higher in MATH 20100 or placement by the Department. After completion of MATH 20900, only 3 credits will be given for MATH 20200. (Part of sequence MATH 20100, MATH 20200, MATH 20300.)

Contact Hours

4 hr./wk.

Notes

Used for transfer credit.

MATH 20500 Elements of Calculus

Limits, derivatives, rules of differentiation, differentials, graph sketching, maximum and minimum problems, related rates, exponential and logarithmic functions, differential equations, anti-derivatives, area, volume, applications to economics.

Credits

4

Prerequisites

A grade of C or higher in MATH 19500 or placement by the Department. Credit will be given for only one of the following courses: MATH 20100 or MATH 20500. (Recommended for Architecture and Economics majors.)

Contact Hours

4 hr./wk.

MATH 20900 Elements of Calculus and Statistics

Introduction to differential equations including numerical methods; qualitative analysis of solutions; phase plane analysis for systems; biological applications; analysis of univariate and bivariate data; regression and correlation; random variables; the normal, Poisson and binomial distributions; statistical inference. A spreadsheet program such as Excel is used throughout the course.

Credits

4

Prerequisites

A grade of C or higher in MATH 20500 or placement by the Department. (Part of sequence MATH 20500, MATH 20900 for Biology majors.)

Contact Hours

4 hr./wk.

MATH 21200 Calculus II with Introduction to Multivariable Functions

Techniques of integration, improper integrals, infinite sequences and series, parametric equations, vectors and the geometry of space, functions of several variables and partial differentiation.

Credits

4

Prerequisites

A grade of C or higher in MATH 20100, or placement by the Department. (part of consequence MATH 20100, MATH 21200, MATH 21300.)

Contact Hours

4 hr./wk.

Notes

MATH 21300 Calculus III with Vector Analysis

Applications of partial differentiation, vector-valued functions, multiple integrals, vector fields, line integrals, and theorems of Green, Stokes, and Gauss.

Credits

4

Prerequisites

A grade of C or higher in Math 21200 or placement by the Department. (Part of sequence MATH 20100, MATH 21200, MATH 21300.)

Contact Hours

4 hr./wk.