Course Requirements
Business students who have an exceptionally strong background in calculus, including calculus of trig functions, may be permitted by the chair to substitute MAT 135 BUSINESS CALCULUS I and MAT 136 BUSINESS CALCULUS II (FORMERLY BMS 126) for MAT 150 CALCULUS I and MAT 151 CALCULUS II.
MAT 160
CALCULUS FOR MATHEMATICS AND SCIENCE MAJORS I
Limits, continuity, the derivative, rules of differentiation, exponential and logarithmic functions, related rates and other applications. Course meets for an additional 1.5 hour lab session each week in order to cover the material in greater depth. Students considering a math major are advised to take the 160 or 170 sequence.
Prerequisites:
MAT 131 or placement by test is a prerequisite for this class.
MAT 161
CALCULUS FOR MATHEMATICS AND SCIENCE MAJORS II
Applications of the derivative, extrema, curve sketching, definite and indefinite integrals, applications of the integral. Course meets for an additional 1.5 hour lab session each week in order to cover the material in greater depth.
Prerequisites:
MAT 150 or MAT 160 or MAT 170 is a prerequisite for this course.
MAT 162
CALCULUS FOR MATHEMATICS AND SCIENCE MAJORS III
Techniques of integration, L'Hopital's rule, improper integrals, series and sequences, Taylor polynomials. Course meets for an additional 1.5 hour lab session each week in order to cover the material in greater depth.
Prerequisites:
MAT 151 or MAT 161 or MAT 171 is a prerequisite for this class.
MAT 150
CALCULUS I
Limits, continuity, the derivative, rules of differentiation, exponential and logarithmic functions, related rates and other applications.
Prerequisites:
MAT 131 or placement by test is a prerequisite for this course.
MAT 151
CALCULUS II
Applications of the derivative, extrema, curve sketching, definite and indefinite integrals, applications of the integral.
Prerequisites:
MAT 150 or MAT 160 or MAT 170 is a prerequisite for this class.
MAT 152
CALCULUS III
Techniques of integration, L'Hopital's rule, improper integrals, series and sequence Taylor polynomials.
Prerequisites:
MAT 151 or MAT 161 or MAT 171 is a prerequisite for this class.
MAT 147
CALCULUS WITH INTEGRATED PRECALCULUS I
Limits, continuity, the derivative, rules of differentiation, and applications, with precalculus review included for each topic. The full MAT 147-8-9 sequence will cover all the material of MAT 150-1-2 plus additional precalculus material.
Prerequisites:
MAT 130 or equivalents or placement by test is a prerequisite for this course.
MAT 148
CALCULUS WITH INTEGRATED PRECALCULUS II
Extrema, curve sketching, related rates, definite and indefinite integrals, applications of the integral, exponential and logarithmic functions, with precalculus review included for each topic.
Prerequisites:
MAT 147 is a prerequisite for this class.
MAT 149
CALCULUS WITH INTEGRATED PRECALCULUS III
Techniques of integration, L'Hopital's rule, improper integrals, Taylor polynomials, series and sequences, first-order differential equations, with precalculus review included for each topic.
Prerequisites:
MAT 148 is a prerequisite for this class.
MAT 170
CALCULUS I WITH SCIENTIFIC APPLICATIONS
The course will cover the following topics using examples from the sciences: Functions as models, logarithmic scale graphing, exponential growth and decay, difference equations and limits of sequences, geometric series, functions and limits, trigonometric functions and their limits, continuity, limits at infinity, the derivative, differentiation rules, derivatives of trigonometric and exponential functions, related rates, derivatives of inverse and logarithm functions. Course meets for an additional lab session each week during which time students will work on applied mathematics projects based on the topics covered in the course. Students majoring in the sciences should consult with their major department to decide between the 160 and 170 sequences.
Prerequisites:
MAT 131 or placement by test is a prerequisite for this class.
MAT 171
CALCULUS II WITH SCIENTIFIC APPLICATIONS
The course will cover the following topics using examples from the sciences: Applications of the derivative including approximation and local linearity, differentials, extrema and the Mean Value Theorem, monotonicity and concavity, extrema, inflection points, graphing, L'Hospital's Rule, optimization, and the Newton-Raphson method, antiderivaties, the definite integral, Riemann sums, the Fundamental Theorem of Calculus, area, cumulative change, average value of a function, and techniques of integration: substitution rule and integration by parts. Course meets for an additional lab session each week during which time students will work on applied mathematics projects based on the topics covered in the course.
Prerequisites:
MAT 150 or MAT 160 or MAT 170 is a prerequisite for this class.
MAT 172
CALCULUS III WITH DIFFERENTIAL EQUATIONS
This course is designed for students in the life sciences and covers some topics from MAT 152, differential equations and an introduction to the Calculus of functions of several variables. Specific topics are as follows. Numerical integration, partial fraction expansions, Taylor approximations of a function, differential equations, separation of variables, slope fields, Euler's existence theorem, polygonal approximations to solutions of differential equations, the logistic equation and allometric growth models, equilibiria of differential equations and their stability, applications of stability theory, functions of several variables, partial derivatives, directional derivative and the gradient. Course meets for an additional lab session each week during which time students will work on applied mathematics projects based on the topics covered in the course.
Prerequisites:
MAT 151 or MAT 161 or MAT 171 is a prerequisite for this class.
MAT 348
APPLIED STATISTICAL METHODS
Introduction to statistical software (which will be used throughout the course). Descriptive statistics; elementary probability theory; discrete and continuous probability models; principles of statistical inference; Simple linear regression and correlation analysis.
Prerequisites:
MAT 148 or MAT 151 or MAT 161 or MAT 171 is a prerequisite for this class.
MAT 349
APPLIED STATISTICAL METHODS II
A continuation of Mathematics 348. Multiple regression; analysis of frequency data, ANOVA and some experimental designs; nonparametric inference and time series analysis. Use of statistical software.
Prerequisites:
MAT 348 is a prerequisite for this class.
MAT 326
SAMPLE SURVEY METHODS
Simple random, stratified, systematic and cluster sampling. Multistage and area sampling. Random-response and capture-release models.
Prerequisites:
MAT 349 or MAT 353 is a prerequisite for this class.
MAT 328
DESIGN OF EXPERIMENTS
Linear models and quadratic forms. Single, two and several-factor experiments, incomplete designs, confounding and fractional factorial experiments. Response surfaces and partially balanced incomplete block designs.
Prerequisites:
MAT 349 or MAT 353 is a prerequisite for this class,.
MAT 356
APPLIED REGRESSION ANALYSIS
Simple linear, multiple, polynomial and general regression models. Selection of best regression equation and examination of residuals for homoscedasticity and other diagnostic. Use of statistical software. Cross-listed with MAT 456.
Prerequisites:
MAT 353 and (MAT 220 or MAT 262) is a prerequisite for this class.
MAT 357
NONPARAMETRIC STATISTICS
Inference concerning location and scale parameters, goodness of fit tests, association analysis and tests of randomness using distribution free procedures. Bootstrap techniques. Smoothing methodologies. Cross-listed with MAT 457.
Prerequisites:
PREREQUISITE: MAT 349 or 353
MAT 135
BUSINESS CALCULUS I
Differential calculus of one or more variables with business applications. Formerly BMS 125.
Prerequisites:
MAT 130 or equivalent is a prerequisite for this class.
MAT 136
BUSINESS CALCULUS II (FORMERLY BMS 126)
Integral calculus, matrix algebra, and probability theory with business applications. Formerly BMS 126.
Prerequisites:
BMS 125 is a prerequisite for this class.