Campus Update :

In consideration of the continued protests and the safety of our students and employees, we will be closing campus this week at 6pm. Campus face-to-face activities planned before 6pm will continue, and all campus virtual services and activities will proceed as planned. Check D2L, NHCC email and the mobile app for future updates.

**
MATH
0801
Math Foundations
Credits
**
1
**
Goal Areas
**
n/a
**
Course Outline 0801
**

This course prepares students for Math 0900, Mathematical Literacy. Students will improve their number sense and skills with whole numbers, integers, fractions, mixed numbers, and decimals including calculations without calculators. Other topics will include place-value and order, rounding and estimation, and order of operations, all with a focus on integers, fractions, mixed numbers, and decimals, one-step application problems, and an introduction to percent. Additional course content includes math specific study skills and math success strategies. Credit does not apply to a degree.

**
MATH
0900
Mathematical Literacy
Credits
**
5
**
Goal Areas
**
n/a
**
Course Outline 0900
**

In this course, students will develop the necessary mathematical reasoning skills to succeed in a wide variety of college-level courses, including Math 1010, 1031, 1130, 1140 and other courses outside the math department. Students will solve realistic, interesting problems incorporating numeracy, proportional reasoning, algebraic reasoning, and functions. Students will be expected to use mathematical terminology appropriately in written communication.Additional coursework may be required for students pursuing a STEM degree.Prerequisites: Placement test or successful completion of Math 0800 or Math 0801

**
MATH
0970
Bridge to College Algebra
Credits
**
2
**
Goal Areas
**
n/a
**
Course Outline 0970
**

This course is designed for students who have successfully completed Math 900 and wish to prepare for Math 1150. Topics covered include linear equations and inequalities, integer and rational exponents, polynomial algebra, polynomial factoring, rational expression algebra, complex numbers, and quadratic equations. This course emphasizes the acquisition of by-hand skill. Credit does not apply to a degree.

**
MATH
0980
Pre College Algebra
Credits
**
5
**
Goal Areas
**
n/a
**
Course Outline 0980
**

This course is a thorough treatment of the algebra necessary for success in college-level math classes. Topics covered include linear equations, quadratic equations, functions, graphing, rational expressions, polynomials, inequalities, radicals, complex numbers, and systems of equations. Additional topics may include exponential and logarithmic functions and their graphs. This course emphasizes applications of all topics and the acquisition of by-hand skill. Credit does not apply to a degree. A student who earns an A or B in this class can petition for permission to use it as a prerequisite for Math 1180.

**
MATH
0999
Math Special Topics
Credits
**
0
**
Goal Areas
**
n/a
**
Course Outline 0999
**

This course will provide flexibility in offering an in-depth review of topics of immediate importance and topical interest. These topics will go beyond the introductory courses in examining specific aspects of the subject matter.

**
MATH
1010
Survey of Mathematics
Credits
**
3
**
Goal Areas
**
04
**
Course Outline 1010
**

Designed for the liberal arts student, this course explores the diversity of math and is focused on developing quantitative skill and reasoning ability. Topics are chosen by the instructor and may include but are not limited to: logic, problem solving, and data analysis, mathematics of social choice, geometry, financial mathematics, infinity, topology, and probability.Prerequisites: College math placement level or successful completion of Math 0900 or 0902 or 0980 or 1031 or 1130 or 1140 with grade of C or better.Please Note: If you have taken a 1000 level Math Course (or higher) from another institution, and have submitted your official transcript, please contact the Records and Registration Department in order to register for this course.

**
MATH
1031
Math for Elementary Education I
Credits
**
3
**
Goal Areas
**
04
**
Course Outline 1031
**

This is the first of a two-course sequence designed for prospective elementary education majors. Students will develop a deep understanding of elementary mathematics and the ability to effectively communicate mathematical ideas. The course focuses on heuristics for mathematical problem solving in the contexts of place value and number systems; operations with whole numbers, integers, fractions, and decimals; and rates, ratios, proportions, and percentages.

**
MATH
1032
Math for Elementary Education II
Credits
**
3
**
Goal Areas
**
04
**
Course Outline 1032
**

This is the second of a two-course sequence designed for prospective elementary education majors. Students will develop a deep understanding of elementary mathematics and the ability to effectively communicate mathematical ideas. The course focuses on heuristics for mathematical problem solving and reasoning in the contexts of geometry, measurement, probability, and statistics. Prerequisites: Successful completion of Math 1031 with grade of C or better.

**
MATH
1130
Elementary Statistics
Credits
**
3
**
Goal Areas
**
04
**
Course Outline 1130
**

This is an introductory course in descriptive statistics, probability, random variables, and inferential statistics. Topics include exploratory data analysis, measures of central tendency and variation, linear regression, binomial and normal distributions, the central limit theorem, confidence intervals and hypothesis testing for one population and two populations. Additional topics may include basic probability, conditional probability, Bayes Theorem, analysis of variance, and chi-squared tests.

**
MATH
1140
Finite Mathematics
Credits
**
3
**
Goal Areas
**
04
**
Course Outline 1140
**

This course is designed primarily for the non-science major. Several business and financial applications are covered. These applications may include systems of equations, linear programming (maximizing profit, minimizing cost), the interdependence of different sectors in an economy, and interest rates as they pertain to credit cards, short-term loans, and mortgages. Although some computer applications may be included, no prior experience is necessary. Additional topics may include: introductory statistics and probability, combinatorics (the number of ways of arranging objects), game theory, coding, and Markov chains (multi-step games/decisions). Prerequisite: Placement into Math 902 or successful completion of Math 0900 or 0901 or 0980 or 1010 or 1031 or 1130 with grade of C or better.Please Note: If you have taken a 1000 level Math Course (or higher) from another institution, and have submitted your official transcript, please contact the Records and Registration Department in order to register for this course.

**
MATH
1150
College Algebra
Credits
**
3
**
Goal Areas
**
04
**
Course Outline 1150
**

This college-level course continues the study of algebra conducted in the developmental algebra courses. Topics include polynomial, rational, inverse, exponential, and logarithmic functions and their applications. Additional topics include systems of non-linear equations, systems of linear equations, and matrices. Prerequisites: College math placement level or successful completion of Math 0970 or 0980 with grade of C or better

**
MATH
1170
Pre-Calculus
Credits
**
4
**
Goal Areas
**
04
**
Course Outline 1170
**

This is a comprehensive course in trigonometry and extended topics in algebra. Topics include trigonometric functions and their graphs, inverse trigonometric functions and their graphs, trigonometric identities and equations, applications of trigonometry, conic sections, the binomial theorem, and sequences and series. Additional topics may include mathematical induction, combinations and permutations, and systems of nonlinear equations.Prerequisites: College math placement level or successful completion of Math 1150 with grade of C or better

**
MATH
1180
College Algebra and Pre-Calculus
Credits
**
5
**
Goal Areas
**
04
**
Course Outline 1180
**

This course is a very accelerated combination of Math 1150 and 1170 in one semester. It is recommended for strong students or can be used also as a refresher course for students who have successfully completed those two courses in the past. Topics include polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric functions, vectors, conic sections, and sequences and series. Additional topics may include polar coordinates or parametric equations.

**
MATH
1200
Calculus Survey
Credits
**
3
**
Goal Areas
**
04
**
Course Outline 1200
**

This course in differential and integral calculus is designed for those students who require only one semester of calculus. The emphasis is on methods and applications of calculus rather than on theory, with the applications primarily from business. Students who wish to take more than one semester of calculus should enroll in Math 1221.Prerequisites: College math placement level or successful completion of Math 1150 or Math 1180 with grade of C or better

**
MATH
1210
Applied Statistics
Credits
**
4
**
Goal Areas
**
02,04
**
Course Outline 1210
**

This course provides students with practical statistical tools for analyzing a variety of data. Students will learn how to choose which statistical test to implement, how to apply computer software to conduct tests, and how to interpret the statistical results. Topics include discussion of frequency distributions, measures of central tendency and variation, exploratory data analysis, probability, hypothesis testing and inferences about proportions and means (one and two populations), analysis of variance, correlation, linear regression, and nonparametric statistics. Prerequisites: College math placement above Math 1150 or successful completion of Math 1150 or higher with grade of C or better.

**
MATH
1221
Calculus I
Credits
**
5
**
Goal Areas
**
04
**
Course Outline 1221
**

This course is a thorough treatment of differentiation and an introduction to integration. Topics include the definition of derivative, limits and continuity, differentiation, applications of the derivative, definite and indefinite integrals, the Fundamental Theorem of Calculus, techniques of integration, and applications of integration.Prerequisites: College math placement level or successful completion of Math 1170 or Math 1180 with grade of C or better

**
MATH
1222
Calculus II
Credits
**
5
**
Goal Areas
**
04
**
Course Outline 1222
**

This course continues the study of the definite and indefinite integrals and leads to a study of improper integrals and infinite series. Topics include advanced techniques of anti-differentiation, numerical integration techniques and error bounding, applications of the integral, improper integrals, an introduction to differential equations, infinite series, parametric equations, and polar coordinates.Prerequisites: Successful completion of Math 1221 with grade of C or better

**
MATH
1990
Math Special Topics
Credits
**
1-4
**
Goal Areas
**
n/a
**
Course Outline 1990
**

This course will provide flexibility in offering an in-depth review of topics of immediate importance and topical interest. These topics will go beyond the introductory courses in examining specific aspects of the subject matter.

**
MATH
2000
Discrete Mathematical Structures
Credits
**
4
**
Goal Areas
**
02,04
**
Course Outline 2000
**

The course covers mathematical topics essential for work in computer science. Topics include: number bases, mathematical induction, sets, relations, functions, congruence, recursion, combinations and permutations, probability, graphs, trees, logic, Boolean algebra, and proof techniques. Computing related problems and examples are integrated throughout the course. Prerequisites: MATH 1150 College Algebra (Minimum grade: 1.67 GPA Equivalent) Or A score of 79 or higher on the College Level Math (0167) placement test Or An ACT math score of 26 or higher

**
MATH
2220
Calculus III
Credits
**
5
**
Goal Areas
**
04
**
Course Outline 2220
**

Topics in this course include solid analytic geometry, vectors in space, scalar and vector products, vector functions and derivatives/integrals, multi-variable functions, partial derivatives, alternative coordinate systems, and double and triple integrals. The geometry of space curves, line and surface integrals, cural and gradient divergence, and Stokes' theorem are also included. Emphasis will be on learning relevant mathematical methods.Prerequisites: Successful completion of Math 1222 with a grade of C or better

**
MATH
2300
Linear Algebra
Credits
**
4
**
Goal Areas
**
04
**
Course Outline 2300
**

This course includes vectors and vector spaces, matrices, matrix algebra, linear systems of equations, determinants, linear transformations, eigenvalues and eigenvectors. Students will also be expected to construct proofs relating to linear dependence and/or independence, the span of a set of vectors, and whether a set of vectors satisfies the vector space axioms.

**
MATH
2400
Differential Equations
Credits
**
4
**
Goal Areas
**
04
**
Course Outline 2400
**

The content of this course covers first and second ordinary differential equations with applications, higher order linear equations, constant coefficients, differential operators, variation of parameters, power series methods, Laplace transforms, and solving systems of differential equations. The student will also be introduced to numerical methods for solving differential equations.