Course Descriptions

The following is a complete listing of courses offered at MCC. You can also visit our Programs of Study page for a list of course requirements necessary to complete your degree.

AAD - Applied Art and Design
ACC - Accounting
ACD - Alcohol/Chemical Dependency
AGS - Agricultural Studies
ANT - Anthropology
ARA - Arabic/Foreign Language
ART - Art
ASL - American Sign Language/Foreign Language
ATP - Automotive Technology
BIO - Biology
BUS - Business
CDL - Interdisciplinary
CE - Cooperative Education-Disney World
CE - Hospitality
CE - Office Technology
CEL - Leadership
CHE - Chemistry
CHI - Chinese/Foreign Language
CIN - Cinema Studies
CIS - Computer Information Systems
CIT - Civil and Construction Technology
CLT - Clinical Laboratory Technician
COM - Communication
COS - College Success
CPT - Computer Technology
CRC - Computer Related Curricula
CRJ - Criminal Justice
CSC - Computer Science
DAS - Dental Assisting
DEN - Dental Hygiene
EBL - Experience Based Learning
ECE - Education and Early Care
ECO - Economics
EDU - Education
ELT - Electrical Engineering Technology/Electronics
EMS - Emergency Medical Services
ENG - English Literature
ENG - English Writing
ENR - Engineering Science
ESL - English For Speakers Of Other Languages (ESOL)
FPT - Fire Protection Technology
FRE - French/Foreign Language
FSA - Food Service Administration
GEG - Geography
GEO - Geology
GER - German/Foreign Language
GLF - Golf Management
HBR - Hebrew/Foreign Language
HED - Health Education
HEG - Health Education Global
HIM - Health Information Technology
HIS - History
HMN - Humanities
HON - Honors Studies
HPR - Health Professions
HSM - Homeland Security Administration
HSP - Hospitality
HTL - Hotel Technology
HUM - Human Services
HVA - Heating, Ventilating & Air Conditioning
IDE - Interior Design
ITA - Italian/Foreign Language
JPN - Japanese/Foreign Language
LAW - Law
LDS - Leadership
MAR - Marketing
MET - Mechanical Technology
MFG - Manufacturing Technology: Automation / Robotics
MTH - Mathematics
MTH 096 - Algebra for Statistics

3 Credits

A basic algebra course designed to prepare students for MTH 160 (Statistics I) or MTH 162 (Statistics for the Social Sciences) at MCC. It is only for students who need MTH 160, MTH 161 or MTH 162 as the terminal mathematics course in their program and place at Mathematics Level 4, 5, or 6. It is not for students who need to take MTH 104 or MTH 165 (or higher). Topics include, but are not limited to, arithmetic operations on real numbers, solving linear equations and inequalities, simplifying expressions containing integer exponents, simplifying square roots and finding decimal approximations, graphing linear equations, an introduction to function notation, and appropriate applications of these topics. Three class hours per week; three fee hours; three imputed credits; no earned credits.

MCC level 4 mathematics placement or higher or TRS 094 with a grade of C or better.

Course Learning Outcomes
1. Evaluate an expression by applying the priority of operations.
2. Solve first degree equations in one variable.
3. Solve literal equations.
4. Simplify expressions involving integer exponents.
5. Graph linear equations on the Cartesian coordinate system.
6. Solve systems of linear equations in two variables.
7. Solve applications involving linear equations.
8. Solve applications involving linear inequalities.
9. Solve and graph linear inequalities in one variable.
10. Graph linear inequalities in two variables.
11. Determine the domain and range of functions written as a correspondence or a set of ordered pairs.
12. Determine the domain and range of functions graphically.
13. Evaluate a function, expressed in function notation, for a specified input value.

Course Offered Fall and Spring

MTH 098 - Elementary Algebra*

No Credit

A first course in algebra with an emphasis on linear equations and their applications. Topics include, but are not limited to: solving linear equations and inequalities, performing arithmetic operations on polynomials, factoring polynomials, solving quadratic equations, simplifying expressions containing integer exponents, graphing linear equations and inequalities in one and two variables, solving systems of two linear equations, and appropriate applications of these topics. Four class hours per week; four fee hours; four imputed credits; no earned credits.

Prerequisite: TRS 094 with a grade of C or better, or MCC Level 4 Mathematics Placement. *MTH 098, MTH 099, and MTH 104 are developmental courses. They do not fulfill a mathematics requirement for an Associate in Arts or Associate in Science Degree.

Course Learning Outcomes
1. Perform arithmetic operations on polynomials.
2. Evaluate an expression by applying the priority of operations.
3. Solve first degree equations in one variable.
4. Solve literal equations.
5. Factor polynomials.
6. Solve quadratic equations by factoring.
7. Simplify expressions involving integer exponents.
8. Graph linear equations on the Cartesian coordinate system.
9. Solve systems of linear equations in two variables.
10. Solve applications involving linear equations.
11. Solve and graph linear inequalities in one variable.
12. Graph linear inequalities in two variables.

Course Offered Fall and Spring

MTH 099 - Elementary Algebra Review (lab for Intermediate Algebra)

No Credit

An accelerated version of MTH 098, intended for students who need a review of basic algebra content. Topics to be covered include, but are not limited to, reviewing arithmetic operations on rational numbers, solving linear equations, graphing on the Cartesian Coordinate system and factoring polynomials. MTH 099 is typically taken with specially designated sections of MTH 104. Two laboratory hours per week; one fee hour; one imputed credit; no earned credits.

Prerequisite(s): MCC level 5 mathematics placement, TRS 094 with a grade of A, MTH 096 with a grade of B-, MTH 098 with a grade of C-, or permission of instructor. *MTH 098, MTH 099, and MTH 104 are developmental courses. They do not fulfill a mathematics requirement for an Associate in Arts or Associate in Science degree.

Course Learning Outcomes
1. Perform arithmetic operations on polynomials.
2. Evaluate an expression by applying the priority of operations.
3. Solve first degree equations in one variable.
4. Solve literal equations.
5. Factor polynomials.
6. Solve quadratic equations by factoring.
7. Simplify expressions involving integer exponents.
8. Graph linear equations on the Cartesian coordinate system.
9. Solve systems of linear equations in two variables.
10. Solve applications involving linear equations.
11. Solve and graph linear inequalities in one variable.
12. Graph linear inequalities in two variables.

Course Offered Fall and Spring

MTH 104 - Intermediate Algebra*

4 Credits

A second course in algebra with an emphasis on quadratic and rational equations and their applications, and a brief introduction to right triangle trigonometry. Topics include, but are not limited to: solving equations involving quadratic, rational and radical expressions; performing arithmetic operations on rational expressions, complex numbers and radical expressions; evaluating functions and determining domain and range; graphing quadratic functions; solving systems of non-linear equations; simplifying expressions involving rational exponents; solving right triangle trigonometric problems; and appropriate applications of each of these topics. Four class hours.

Prerequisite: MTH 098 with a grade of C or better, or MTH 099 with a grade of C or better, or MCC Level 6 Mathematics Placement. *MTH 098, MTH 099, and MTH 104 are developmental courses. They do not fulfill a mathematics requirement for an Associate in Arts or Associate in Science degree.

Course Learning Outcomes
1. Solve quadratic equations.
2. Solve rational equations.
3. Solve radical equations.
4. Factor polynomials.
5. Perform arithmetic operations on rational expressions.
6. Perform arithmetic operations on complex numbers.
7. Perform arithmetic operations on radical expressions.
8. Determine the domain and range of functions written as a correspondence or a set of ordered pairs.
9. Determine the domain and range of functions graphically.
10. Evaluate functions using function notation.
11. Graph quadratic equations.
12. Solve systems of equations such as linear, linear-quadratic, and quadratic-quadratic.
13. Simplify expressions involving rational exponents.
14. Solve right triangle trigonometric problems using sine, cosine, or tangent functions.
15. Solve applications involving quadratic equations.
16. Solve applications involving rational equations.
17. Solve applications involving radical equations.
18. Solve applications involving systems of equations.

Course Offered Fall and Spring

MTH 130 - Modern Business Mathematics

3 Credits

This course will cover the basic concepts and processes of mathematics applied to various business situations including statistical procedures, percentage and percent distributions of financial statement data, merchandising, payrolls, taxation and insurance. Other topics include simple interest, compound interest and annuities. Three class hours. MTH 130 is a course for career business. It does not fulfill a mathematics requirement for most Associate in Arts or Associate in Science degrees.

Prerequisite: TRS 092 with a grade of C or better, or MCC Level 2 Mathematics placement.

Course Learning Outcomes
1. Solve percent problems.
2. Solve payroll problems.
3. Compute the net cost of merchandise after a commercial discount.
4. Compute various retail measures such as cost, selling price, markup, markdown, or break even amount.
5. Solve applied problems pertaining to simple interest.
6. Solve applied problems pertaining to compound interest.
7. Solve consumer loan problems.
8. Solve applied problems pertaining to property taxes.
9. Solve applied problems pertaining to insurance premiums.
10. Analyze financial statements.
11. Interpret graphs.
12. Compute statistical measures.

Course Offered Fall and Spring

MTH 135 - Introduction to Technical Mathematics*

4 Credits

An introductory course dealing with the development of algebraic and trigonometric concepts needed to solve problems in various technical areas. Topics include measurement and approximation, ratio and proportion, dimensional analysis, intermediate algebra, geometry, and right triangle trigonometry. Four class hours. NOTE: A specific calculator will be required of all students in this course.

Prerequisite: MTH 098 with a grade of C or better, or MCC Level 6 Mathematics Placement. *MTH 135, MTH 140 and/or MTH 141 are required in various technology programs. They do not fulfill a mathematics requirement for an Associate in Arts or Associate in Science degree.

Course Learning Outcomes
1. Perform reductions or conversions to appropriate units of measurement in the measurement systems.
2. Perform calculations with approximate numbers.
3. Solve a variety of equations which may include literal, linear, or quadratic.
4. Perform arithmetic operations on expressions that may include exponents, scientific notation, or roots.
5. Factor polynomials which may be either binomial or trinomial.
6. Perform arithmetic operations with rational expressions.
7. Graph various equations which may include linear or quadratic.
8. Calculate measures of geometric figures which may include perimeter, area, or volume.
9. Solve applications involving right triangles.

Course Offered Fall and Spring

MTH 140 - Technical Mathematics I*

3 Credits

A course dealing with the algebraic and trigonometric concepts needed to solve problems in various technical areas. It includes a study of linear and trigonometric equations, dimensional analysis, ratios and proportion, functions and their graphs, right triangle trigonometry, graphs of trigonometric functions, vectors, and statistical topics. Three class hours. NOTE: A specific calculator will be required of all students in this course. (SUNY-M)

Prerequisite: MTH 135 with a grade of C or better or MTH 104 with a grade of C or better, or MCC Level 8 Mathematics placement. *MTH 135, MTH 140 and/or MTH 141 are required in various technology programs. They do not fulfill a mathematics requirement for an Associate in Arts or Associate in Science degree.

Course Learning Outcomes
1. Evaluate a function, expressed in function notation, for a specified input value.
2. Graph functions using a table of values.
3. Find the domain or range of functions.
4. Find the inverse function of a one-to-one function.
5. Convert an angle measurement between radians and degrees.
6. Evaluate trigonometric functions for any angle.
7. Solve vector problems using components.
8. Determine the features of trigonometric functions which may include amplitude, period, or displacement.
9. Sketch the graphs of trigonometric functions which may include sine, cosine, or tangent.
10. Prove identities involving the trigonometric functions.
11. Solve equations involving trigonometric or inverse trigonometric functions.
12. Determine statistical measures such as the mean, median, mode, or standard deviation.

Course Offered Fall and Spring

MTH 141 - Technical Mathematics II*

3 Credits

An extension of the concepts developed in MTH 140. Topics included are complex numbers, higher degree equations, oblique triangle trigonometry, exponential equations, logarithms, systems of linear and quadratic equations, and inequalities. Three class hours. NOTE: A specific calculator will be required of all students in this course. (SUNY-M)

Prerequisite: MTH 140 with a grade of C or better or equivalent. *MTH 135, MTH 140 and/or MTH 141 are required in various technology programs. They do not fulfill a mathematics requirement for an Associate in Arts or Asscociate in Science degree.

Course Learning Outcomes
1. Perform arithmetic operations on complex numbers.
2. Solve equations in quadratic form.
3. Solve systems of two linear equations in two variables algebraically, graphically, or by using Cramer’s Rule.
4. Solve systems of three linear equations in two variables by using Cramer’s Rule.
5. Find zeros of polynomial functions.
6. Use synthetic division or other methods such as factoring to solve higher degree polynomial equations.
7. Solve exponential or logarithmic equations.
8. Solve systems of two linear or quadratic inequalities in two variables graphically.
9. Apply the Law of Sines or the Law of Cosines to practical problems.
10. Generate graphs of functions which may include quadratic, exponential, or logarithmic.

Course Offered Spring only

MTH 150 - Survey of Mathematics

3 Credits

A study of various topics including an introduction to estimation, algebra, geometry, consumer mathematics, probability and statistics, with an emphasis on critical thinking and interpreting results. Other topics may be covered at the discretion of the instructor. Three class hours. MTH 150 is a common selection by Liberal Arts students with fewer than three years of high school mathematics. MTH 150 is not a prerequisite course for MTH 160 or higher. Although this course can satisfy your mathematics requirement for some MCC programs and transfer to some baccalaureate institutions, if you are planning to transfer please speak with an academic advisor or Career and Transfer to ensure that this course meets your goals. (SUNY-M)

Prerequisite: TRS 094 with a grade of C or better, or MCC Level 4 Mathematics placement.

Course Learning Outcomes
1. Use estimation to approximate an answer.
2. Use geometric formulas to solve applied problems using unit conversions where necessary.
3. Compute interest for common loans.
4. Compute interest rates for common loans.
5. Compute payments for common loans.
6. Compute probabilities, odds, or expected value.
7. Interpret results from probability based calculations.
8. Interpret standard statistical graphs.
9. Calculate simple descriptive statistics for a given set of data.
10. Use common properties of a normal distribution to draw basic conclusions about the underlying data

Course Offered Fall and Spring

MTH 155 - Mathematics for Elementary Teachers I - WR

3 Credits

A course essential in developing the mathematical competency of the teacher or prospective teacher at the elementary level. Students will develop a comprehensive understanding of the mathematical curriculum recommended by the NCTM (National Council of Teachers of Mathematics) Standards, using a problem solving approach. Topics include historical development of numbers and number systems, study of whole numbers, integers, rationals, irrationals, and reals; abstract number systems; and elementary number theory. NOTE: MTH 155 is not a teaching methods course. Three class hours. All Sections are writing intensive (WR).

Prerequisite: MTH 098 with a grade of C or better, MTH 099 with a grade of C or better, or MCC Level 6 Mathematics Placement.

Course Learning Outcomes
1. Apply a variety of appropriate strategies to solve problems.
2. Create and use a variety of representations of sets to model physical, social and mathematical phenomena.
3. Illustrate the traditional algorithms for Whole Number, Integer, and Rational Number arithmetic using visual representations.
4. Identify and use the properties of Real Numbers.
5. Employ principles of number theory as a problem solving strategy.
6. Demonstrate the use of physical representations to illustrate numerals in decimal and non-decimal based place value systems.
7. Convert numerals between various positional and additive systems.
8. Incorporate estimation techniques to assess reasonableness of solutions.

MTH 156 - Mathematics for Elementary Teachers II - WR

3 Credits

A continuation of the concepts of MTH 155, which develop the mathematical competency of the teacher or prospective teacher at the elementary level. Students will develop a comprehensive understanding of the mathematical curriculum recommended by the National Council of Teachers of Mathematics (NCTM) Standards using a problem solving approach with appropriate technology. Topics include functions, probability, statistics, measurement, 2 and 3 dimensional geometry, transformational geometry, congruence and similarity. All sections are writing intensive (WR). Three class hours. MTH 156 is a special interest course; check for availability. (SUNY-M)

Prerequisite: MTH 155 with a grade of C or better.

Course Learning Outcomes
1. Compute various Descriptive Statistics (Measures of Central Tendency, Measures of Spread, Measures of Position).
2. Construct, interpret, and analyze the meaning of a variety of graphs.
3. Predict the probability of outcomes of simple and two-stage experiments or events.
4. Discover and apply geometric ideas and relationships in areas outside the mathematics classroom, such as art, science, and everyday life.
5. Draw and use visual tools (e.g., Networks, Euler's rules of traversability, Jordan Curve Theorem, Map Coloring problem) to problem solve.
6. Classify geometric shapes and distinguish between attributes of shapes.
7. Compute Perimeter, Area, and/or Volume for a variety of geometric shapes, and validate reasonableness.
8. Discuss and justify problem solving strategies within a group setting.
9. Use principles of congruence, similarity, and proportional reasoning to model and interpret physical and mathematical situations in application problems.

Course Offered Fall and Spring

MTH 160 - Statistics I

3 Credits

An introduction to descriptive and inferential statistics intended to give an understanding of statistical techniques and applications in a wide variety of disciplines. Topics include measures of central tendency; dispersion and position; correlation and regression; probability and probability distributions, including binomial and normal; the Central Limit Theorem; parameter estimation and hypothesis testing. Minitab statistical software is used. Three class hours. MTH 160 is an appropriate elective for most programs. (SUNY-M)

MTH 096 (formerly MTH 080) with a grade of B- or better; or any of the following with a grade of C or better: MTH 104, MTH 140, MTH 141, MTH 165 (or higher); or MCC level 8 mathematics placement.

Course Learning Outcomes
1. Determine a variety of descriptive statistics which may include any of the following measures: central tendency, dispersion, or position.
2. Analyze data using descriptive measures.
3. Produce graphs of data which may include any of the following: histograms, boxplots, or scatterplots.
4. Analyze statistical graphs.
5. Calculate quantitative values for various random variables which may include any of the following types: discrete, binomial, or normal.
6. Interpret probabilities for various probability distributions which may include any of the following types: discrete, binomial, or normal.
7. Use the Central Limit Theorem for applications involving the sampling distribution of the sample mean.
8. Determine confidence intervals for the population mean or the population proportion.
9. Analyze confidence intervals for the population mean or the population proportion.
10. Perform hypothesis tests for the population mean or the population proportion.
11. Determine the linear correlation coefficient for bivariate data.
12. Determine the equation of the least-squares line for bivariate data.
13. Analyze bivariate data.
14. Interpret Minitab output.

Course Offered Fall and Spring

MTH 161 - Statistics II

3 Credits

Statistical inference with an introduction to experimental design. Topics include hypothesis testing and estimation for means, proportions and variances; sample size determination; uses of Chi-square distribution; analysis of variance; linear correlation and regression, non-parametric statistics and statistical research. Minitab statistical software is used. Three class hours. (SUNY-M)

Prerequisite: MTH 160 with a grade of C or better.

Course Learning Outcomes
1. Estimate statistical parameters in one variable.
2. Estimate statistical parameters in two variables.
3. Perform hypothesis tests of statistical parameters in one variable.
4. Perform hypothesis tests of statistical parameters in two variables.
5. Calculate Type II errors for specified inference problems.
6. Assess Type II errors for specified inference problems.
7. Calculate sample size for specified inference problems.
8. Perform chi-square tests for various applications.
9. Apply Analysis of Variance techniques for one factor applications.
10. Apply Analysis of Variance techniques for two factor applications.
11. Estimate statistical parameters involving linear correlation and linear regression analysis.
12. Perform hypothesis tests of statistical parameters involving linear correlation and linear regression analysis.
13. Differentiate between parametric and nonparametric methods.
14. Choose the appropriate statistical analysis for a given situation.
15. Perform nonparametric tests for various applications.
16. Design a statistical experiment.
17. Conduct a statistical experiment.
18. Assess the validity of a statistical experiment.
19. Use Minitab software to perform various statistical procedures.

Course Offered Fall and Spring

MTH 162 - Statistics for the Social Sciences

4 Credits

An introduction to descriptive and inferential statistics intended to give an understanding of statistical techniques and applications used in the social sciences. Topics include: measures of central tendency, dispersion and position; correlation and regression; probability and probability distributions, including binomial and normal; parameter estimation and hypothesis testing; two-sample analysis; chi-square test of independence; one-way analysis of variance. Statistical software will be used. This course is intended for, but not limited to Social Science majors. Students who have completed MTH 160 or MTH 161 may not receive additional credit for this course. Four class hours.(SUNY-M)

Prerequisite(s): MTH 096 with a grade of B- or better, or MTH 104, MTH 140, MTH 141, MTH 165 (or higher) with a grade of C or better, or MCC Level 8 Mathematics placement

Course Learning Outcomes
1. Interpret data graphically using measures of central tendency, dispersion, and position
2. Interpret data numerically using measures of central tendency, dispersion, and position
3. Create a scatter diagram to represent bivariate data
4. Analyze the relationship between variables using linear correlation and linear regression
5. Perform significance tests for linear correlation
6. Classify a random variable as binomial
7. Use the binomial probability distribution to compute probabilities, means, and standard deviations
8. Explain the properties of the normal probability distribution and its parameters
9. Compute probabilities for normal variables as areas, probabilities, or proportions
10. Use the Central Limit Theorem to describe the sampling distribution of the sample mean
11. Produce confidence intervals using both the z and t probability distributions
12. Interpret confidence intervals using both the z and t probability distributions
13. Generate hypothesis tests about mu and p, using both the z and t probability distributions
14. Deduce conclusions about mu and p, using both the z and t probability distributions
15. Perform a two-sample analysis using independent and dependent samples
16. Interpret the results of two-sample analyses using independent and dependent samples
17. Calculate effect size for different samples
18. Interpret the results of effect size for different samples
19. Complete chi-square tests of independence
20. Interpret the results of a chi-square test for independence
21. Execute a one-way analysis of variance
22. Interpret the results of a one-way ANOVA as the effect of a factor on the response variable
23. Use statistical software to produce statistical graphs
24. Use statistical software to compute statistical measures
25. Use statistical software to create estimates of statistical measures
26. Test hypotheses using statistical software to generate necessary values
27. Interpret results obtained using statistical software

Course Offered Fall and Spring

MTH 164 - Introduction to Trigonometry

1 Credit

A first course in trigonometry. Topics include the trigonometric ratios, radian measure, angles in a coordinate system, ratio values for any angle, graphs of trigonometric functions and basic trigonometric identities and equations. A specific calculator will be required of all students in this course. One class hour.

Prerequisite: MTH 104 with a grade of C or better, or MCC Level 8 Mathematics Placement.

Course Learning Outcomes
1. Draw an angle in standard position on coordinate axes when given the angle measure in radians.
2. Define (in terms of x, y, and r) any of the six trigonometric ratios for an angle in standard position whose terminal side passes through the point (x, y) on a circle of radius r.
3. Find the exact values of any of the six trigonometric ratios for quadrantal angles or special angles.
4. Solve first-degree trigonometric equations for exact values of the variable or for approximate values of the variable.
5. Establish new trigonometric identities by applying algebraic techniques and identities such as reciprocal, quotient or Pythagorean.
6. Analyze characteristics of trigonometric functions.
7. Perform angle measurement conversions, such as decimal degrees; degrees, minutes, seconds; or radians.

Course Offered Fall and Spring

MTH 165 - College Algebra

3 Credits

This course is intended to enhance algebraic skills and graphing techniques, and to prepare students for Precalculus Mathematics and Applied Calculus. Topics include functions that are quadratic, polynomial, piecewise, exponential and logarithmic; equations that are quadratic in form, involve radicals, absolute value, variation and rational exponents; inequalities that are quadratic, rational, and absolute value. Three class hours. (SUNY-M). MTH 165 is an appropriate elective even if not pursuing science or mathematics.

Prerequisite: MTH 104 with a grade of C or better, or MTH 140 with a grade of C or better, or MCC Level 8 Mathematics placement.

Course Learning Outcomes
1. Solve a variety of equations which may include any of the following types: quadratic in form, radical, rational exponent, linear absolute value, exponential, or logarithmic.
2. Solve a variety of inequalities which may include any of the following types: linear absolute value, factorable polynomial, or rational.
3. Graph a variety of relations which may include any of the following types: polynomial of degree at most 4, absolute value, square root, cube root, reciprocal, exponential, logarithmic, piecewise, or circle.
4. Describe or graph transformations of functions which may involve any combination of a horizontal shift, a vertical shift, or a reflection.
5. Convert between any of the three forms: a graph, an equation, or a verbal description of attributes such as zeros, intercepts, or domain.
6. Determine a composition or combination of functions.
7. Determine the inverse of a one-to-one function.
8. Determine the zeros of a polynomial function using synthetic division with related theorems.
9. Use long division to divide polynomials.
10. Rewrite a logarithmic expression using properties of logarithms.
11. Solve a variety of applications using variation, exponential, or logarithmic models.

Course Offered Fall and Spring

MTH 172 - Technical Discrete Mathematics

3 Credits

An introduction to discrete mathematics primarily intended for students majoring in Information Technology or Computer Systems Technology. The emphasis will be on the development of technical discrete mathematics skills, rather than rigorous proof. Topics will include number systems, sets, logic, induction, elementary counting techniques, relations, functions, matrices, and Boolean algebra. Note: This course is not designed for students intending to major in Mathematics or Computer Science. Students intending to major in Mathematics or Computer Science should take MTH 220. Three class hours.

Prerequisite: MTH 141 or MTH 165 with a grade of C or better, or MCC Level 9 Mathematics placement, or equivalent.

Course Learning Outcomes
1. Convert between different number systems
2. Apply standard set operations.
3. Assess the validity of an argument with truth tables or rules of inference.
4. Evaluate finite sums given in sigma notation.
5. Solve counting problems with permutations or combinations.
6. Conclude whether a given relation is an equivalence relation.
7. Classify a given function as one-to-one or onto.
8. Compare the growth rates of functions with Big-O notation.
9. Apply standard matrix operations.
10. Apply the axioms of a Boolean algebra.

Course Offered Fall and Spring

MTH 175 - Precalculus

4 Credits

A study of the properties and graphs of functions, including polynomial, absolute value, power, piecewise, radical, rational, exponential, logarithmic, trigonometric, and inverse trigonometric. Topics also include a study of analytic trigonometry and an introduction to vectors. This course is intended to prepare students for the study of calculus. Four class hours. (SUNY-M)

Prerequisite: MTH 165 with a grade of C or higher, or MTH 141 with a grade of C or higher, or MCC Level 9 Mathematics placement or higher.

Course Learning Outcomes
1. Rewrite a logarithmic expression using properties of logarithms.
2. Perform operations on functions, which may include compositions or arithmetic combinations.
3. Determine simplified difference quotients.
4. Determine the inverse of a one-to-one function.
5. Construct graphs of equations, functions, or their transformations.
6. Identify appropriate features of the graph of an equation such as intercepts, asymptotes, maximum values, minimum values, domain, range, or symmetry.
7. Determine the values (in exact form when possible) of the trigonometric functions of any angle.
8. Verify a trigonometric identity.
9. Solve a trigonometric equation.
10. Evaluate expressions involving inverse trigonometric functions.
11. Use the Law of Sines and/or Law of Cosines to solve an oblique triangle.
12. Construct the graph of y = a f (bx + c) + d where f is a trigonometric function.
13. Identify appropriate features of the graph of a trigonometric function, such as amplitude, period, phase shift, vertical shift, domain, or range.
14. Perform operations on vectors.

Course Offered Fall and Spring

MTH 200 - Applied Calculus

4 Credits

An intuitive introduction to the principal ideas of differential and integral calculus. Among the topics covered are: functions (including exponential and logarithmic), limits, differentiation, and integration. Emphasis will be placed upon the use of calculus in solving problems from areas including business, economics, and the social and natural sciences. Four class hours. (SUNY-M)

Prerequisite: MTH 165 with grade of C or better, or MCC Level 9 Mathematics placement, or equivalent.

Course Learning Outcomes
1. Evaluate limits using analytical methods.
2. Evaluate limits using numerical methods.
3. Evaluate limits graphically.
4. Apply the definition of continuity at a point to determine continuity.
5. Examine the relationship between the limit definition of a derivative and the average rate of change of a function.
6. Apply the rules of differentiation to obtain derivatives of functions.
7. Sketch a function by interpreting the derivatives of the function.
8. Find the local or relative extreme values of a function by interpreting the derivatives of a function.
9. Evaluate antiderivatives using analytical methods.
10. Evaluate definite integrals.
11. Examine the relationship between the area under a curve and the definite integral.
12. Evaluate partial derivatives of functions of several variables.
13. Evaluate second order partial derivatives of functions of several variables.
14. Solve application problems by applying calculus techniques.

Course Offered Fall and Spring

MTH 210 - Calculus I

4 Credits

A first course in single variable calculus. Topics include limits and continuity; differentiation of algebraic, trigonometric, exponential, logarithmic, and inverse trigonometric functions; applications of derivatives to curve sketching, related rates, optimization, and rectilinear motion; indefinite and definite integrals; both parts of the Fundamental Theorem of Calculus; applications of definite integrals to area, average value, and rectilinear motion; and integration by u-substitution. A specific calculator may be required of students in this course. Students are advised to check with the instructor. Four class hours. (SUNY-M) 4 Credits.

Prerequisite: MTH 175 with grade of C or higher, or high school precalculus course taken within the last three years with a grade of B (83) or higher, or MCC Level 10 Mathematics placement.

Course Learning Outcomes
1. Determine a variety of limits which may include any of the following types: one-sided limits, two-sided limits, infinite limits, or limits at infinity.
2. Determine whether a function is continuous at a given point.
3. Differentiate a variety of functions using the limit definition of the derivative.
4. Determine whether a function is differentiable at a given point.
5. Differentiate combinations or compositions of a variety of functions which may include any of the following: polynomial, radical, rational, trigonometric, inverse trigonometric, exponential, or logarithmic.
6. Differentiate implicitly defined functions.
7. Use derivatives to determine key features of graphs of functions which may include any of the following: intervals of increase or decrease, intervals of concavity, extrema, or points of inflection.
8. Determine indefinite integrals.
9. Approximate definite integrals with Riemann Sums.
10. Apply the Fundamental Theorem of Calculus.
11. Use the method of integration by u-substitution.
12. Use methods of Calculus to solve a variety of applications which may include any of the following types: related rates, optimization, rectilinear motion, area, or average value.

Course Offered Fall and Spring

MTH 211 - Calculus II

4 Credits

A second course in single variable calculus. Topics include techniques of integration, applications of definite integrals, first order separable differential equations, indeterminate limit forms, improper integrals, infinite series, Taylor polynomials, and power series. A specific calculator may be required of students in this course. Four class hours. (SUNY-M)

Prerequisite: MTH 210 with a grade of C or higher.

Course Learning Outcomes
1. Compute indefinite integrals using a variety of techniques which could include: substitution, integration by parts, trigonometric substitution, or partial fraction decomposition.
2. Formulate a definite integral to solve a variety of applications.
3. Evaluate a definite integral using the Fundamental Theorem of Calculus.
4. Estimate the value of a definite integral using one or more of the following techniques: the Midpoint Rule, the Trapezoid Rule, and Simpson’s Rule.
5. Estimate the value of a definite integral using a Taylor Polynomial.
6. Use L’Hopital’s Rule to evaluate a limit.
7. Evaluate an improper integral using the appropriate limit definition.
8. Translate verbal descriptions involving rates of change into differential equations.
9. Solve a separable differential equation using separation of variables.
10. Justify whether a given series converges or diverges.
11. Determine the interval and radius of convergence for a given power series.

Course Offered Fall and Spring

MTH 212 - Calculus III

4 Credits

The calculus of functions of more than one variable, partial differentiation, multiple integrals, polar coordinates, solid analytic geometry and vectors, and the calculus of vector-valued functions are covered. A specific calculator will be required of all students in this course. Students are advised to check with the Mathematics Department. Four class hours. (SUNY-M)

Prerequisite: MTH 211 with a grade of C or higher.

Course Learning Outcomes
1. Perform vector operations.
2. Analyze functions of several variables represented numerically, graphically, or algebraically using the methods of calculus.
3. Apply the gradient to produce the directional derivative of a function of several variables.
4. Apply the gradient to produce the direction and magnitude of the maximum increase of the function at a given point.
5. Determine the critical points of a function of two variables.
6. Classify critical points as relative minima, relative maxima, saddle points, or none of these.
7. Compute multiple integrals.
8. Represent curves parametrically, implicitly, or explicitly.
9. Classify a given vector field as conservative or nonconservative.
10. Evaluate a line integral through a given vector field.

Course Offered Fall and Spring

MTH 220 - Discrete Mathematics

3 Credits

An introduction to discrete mathematics primarily intended for students majoring in Mathematics or Computer Science. Topics will include propositional and predicate logic, elementary number theory, mathematical induction, set theory, combinatorics, functions, and relations. Methods of proof will be developed in a variety of mathematical contexts. Three class hours.

Prerequisite: MTH 210 with a grade of C or higher, or equivalent.

Course Learning Outcomes
1. Use and interpret mathematically correct terminology and notation.
2. Apply logical reasoning to solve a variety of problems.
3. Formulate a correct proof of a universally quantified statement.
4. Propose a counterexample to demonstrate that a statement is false.
5. Solve a variety of combinatorial problems.
6. Classify a function using concepts such as one-to-one, onto, and bijection.
7. Analyze a given relation to determine whether or not it is reflexive, symmetric, transitive, or an equivalence relation.

Course Offered Fall and Spring

MTH 225 - Differential Equations

4 Credits

An introduction to ordinary differential equations and their applications. Analytical methods include: separation of variables, linear first order equations, substitution methods, second order linear equations with constant coefficients, undetermined coefficients, variation of parameters, autonomous systems of two first order equations, series solutions about ordinary points, and the Laplace Transform. In addition to analytical methods, quantitative and qualitative analysis will be employed through the use of Euler’s Method, phase lines, phase planes, and slope fields. Four class hours.

Prerequisite: MTH 211 with a grade of C or better.

Course Learning Outcomes
1. Classify a differential equation using appropriate mathematical terminology.
2. Solve a variety of differential equations using analytical methods.
3. Describe the qualitative behavior of the solutions of a differential equation.
4. Estimate the solutions of a differential equation using numerical and graphical methods.
5. Solve a differential equation using power series.
6. Solve an autonomous system of two first order differential equations.
7. Examine the qualitative behavior of the solutions of an autonomous system of two first order differential equations.
8. Solve initial value problems using the Laplace Transform.
9. Solve applied problems using differential equations.

Course Offered Fall and Spring

MTH 230 - Linear Algebra

4 Credits

Topics include systems of linear equations, vectors and matrices, determinants, vector spaces, linear transformations, eigenvectors and eigenvalues, and inner product spaces. Four class hours. Course offered Fall, Spring, and Summer.

Prerequisite: MTH 212 with a grade of C or better, or both MTH 211 and MTH 220 with a grade of C or better in each, or permission of instructor.

Course Learning Outcomes
1. Solve systems of linear equations with Gaussian or Gauss-Jordan elimination.
2. Apply standard matrix operations.
3. Formulate the inverse of a square matrix or determine that the inverse does not exist.
4. Evaluate determinants of square matrices.
5. Classify sets of vectors in a vector space as linearly independent or dependent.
6. Identify sets of vectors in an inner product space as orthogonal or orthonormal.
7. Calculate the eigenvalues of a square matrix.
8. Produce a basis for the eigenspace of a square matrix associated with a given eigenvalue.
9. Construct a basis for the kernel of a linear transformation.
10. Construct a basis for the range of a linear transformation.

MTH 290 - Independent Study

Variable Credit

See the Department Chairperson.

Course Offered Fall and Spring

MUS - Music
NUR - Nursing
OFT - Office Technology
OPT - Optical Systems Technology
PE - Physical Education--Coed
PEC - Physical Education--Coed
PEJ - Physical Education-Criminal Justice
PEM - Physical Education--Men
PEW - Physical Education-Women
PHL - Philosophy
PHO - Photography
PHY - Physics
PLE - Police: Law Enforcement
PLS - Paralegal Studies
POR - Portuguese/Foreign Language
POS - Political Science
PPE - Physical Studies/Physical Education
PSC - Public Safety Communications
PSC - Public Safety Training
PST - Public Safety Training
PSY - Psychology
REA - Reading
SBS - Honors Studies
SBS - Social & Behavioral Sciences
SCI - Science
SCR - Computer Security
SGT - Surgical Technology
SMT - Sports Management
SOC - Sociology
SPA - Spanish/Foreign Language
SPC - Speech Communication
STT - Solar Thermal Technology
SUS - Sustainability Studies
SVL - Service Learning
TAM - Tooling and Machining
TEK - Technology
THE - Theatre
TOY - Toyota
TRS - Transitional Studies
TVL - Travel And Tourism
XRT - Radiologic Technology