No credit given to students who have completed a MA course numbered above MA The algebra of functions, including polynomial, rational, exponential, and logarithmic functions; systems of equations and inequalities; trigonometric and inverse trigonometric functions; trigonometric identities and equations; a brief introduction to DeMoivre's Theorem, vectors, polar coordinates, and the binomial theorem.
This course is intended for students who plan to take at least MA Calculus A but who do not need the full two-semester sequence in precalculus MA , Limits, continuity, differentiation, applications of the derivative, integration, the fundamental theorem of calculus, applications of the integral. No credit given to students who have already received credit for a calculus course. Limits, derivatives, applications of the derivative, definite and indefinite integrals, exponential and logarithmic functions, and inverse functions.
Extension of MA Review of previous math skills needed for success. Homework discussed; examination preparation, review of homework and examination tutoring and individual consultation. This course offers all of the Calculus A curriculum with the addition of trigonometry review. The course is 4 credit hours but meets five days per week.
The S-section of Calculus A is intended for students with math placement level 2 but who are willing to put in extra time and effort to study trigonometry along with all of the requirements for MA Prerequisite: MA or math placement level 2.
Techniques of integration, applications of the integral, polar coordinates, sequences, series, and conic sections. Prerequisites: MA with a grade of C or better. Vectors, vector-valued functions, partial derivatives, multiple integrals, vector fields, line and surface integrals. The course emphasizes the use of logical thinking in mathematics and the development of students' understandings of algorithm design.
Directed at providing the elementary education student the mathematical background necessary for an understanding of the mathematical principles that are introduced to children in the elementary grades. Emphasis on sets, logic, an understanding of the number systems integers, fractions, decimals, percents and number theory. Prerequisites: Two MA courses at the level or above, each with a grade of C or better.
Open only to students majoring in elementary education. Rational numbers, real numbers, algebra, statistics, probability, geometric shapes, measurement, and geometry using triangle congruence and similarity, coordinates, and transformations. This course provides an elementary introduction to the techniques and necessary theory for solving the basic differential equations usually encountered by beginning science and engineering students.
General topics include analytical and graphical methods for solving and analyzing first order differential equations; Euler's numerical method; the basic theory of higher-order, linear differential equations, with major emphasis on equations with constant coefficients; variation of parameters; the Laplace transform as a tool for solving differential equations. Systems of linear equations, matrices, matrix operations, determinants, vector spaces, bases, dimension of a vector space, inner product, Gram-Schmidt process, linear transformations, change of basis, similar matrices, eigenvalues and eigenvectors, diagonalization, symmetric matrices, and applications.
Prerequsites: MA or MA Descriptive statistics, fundamentals of probability theory, fundamentals of statistical inference, including estimation and hypothesis testing, and use of a typical statistical package such as MINITAB. Individualized special projects in mathematics and its applications for inquisitive and well prepared sophomore-level undergraduate students. No credit allowed toward major or minor in mathematics. Approval of department chair and instructor required.
Fundamental properties of integers, divisibility, linear Diophantine equations, congruency, Euler function, Chinese Remainder Theorem, Fermat Theorems, Wilson Theorem, and applications to Cryptography. Prerequisite: MA Symbolic logic and methods of proof, set theory, combinations and permutations, equivalence relations and functions, mathematical induction and recurrence relations, cardinality finite, countably infinite, and uncountable sets , and decimal representation of the rational and real numbers.
Prerequisites: MA and MA This course is a calculus-based introduction to probability with special emphasis on the interplay between probability and statistics. But, now the software mentioned below will be of great help to you in this subject. Microsoft mathematics is free and open-source software developed by Microsoft. It is a significant tool for those who are struggling with mathematics problems. It is quick and free, solves the most complicated problems of math in an easy manner.
This tool contains features that will allow you to solve problems related to mathematics, science and other technical subjects.
It has a graphing calculator and a unit converter. Along with that, it has an equation and a triangle solver that provides solutions in steps. Students can download this tool free from the Microsoft website. It can run over various platforms such as Windows, iOS, Android.
Read Also- Rhetorical Essay. It is considered as a dynamic math software, designed for all standards of mathematics. This mathematics tool can be used by both Rookie as well as Expert.
This tool merges algebra, geometry, spreadsheets, graphs, statistics and analysis, calculus in a single easy to use package. This tool is widely popular among students who are facing issues in solving various mathematical problems. Geogebra mathematical tools are widely available on multiple platforms such as Windows, macOS, Linux, Android. The inception of this tool was by Makus Hohenwarter.
The main features of this tool are:. If you are in search of an interesting way of learning geometry, then Geometry Pad is for you. This mathematical tool will help you in learning geometry and allows you to practice vital constructions. This tool will act as your personal assistant in learning geometry. This is a student-friendly tool that helps in the presentation of geometric constructions, taking measurements, compass use and experimentation with different geometric shapes in an easier manner.
The tool is beneficial for both the teacher as well as students. Teachers can take the help of this tool to provide a good understanding of various geometric concepts. This tool can provide assignment help to students as well, they can learn geometry with the help of this tool by sitting at home. So, if you are looking to get hassle-free solutions to your geometry problems, grab this tool online and reap all the benefits. This tool is available on Androids as well as on iPhone.
Another great mathematical tool to take academic stress out of your life. Photomath is a boon for students as well as for teachers. This tool will help you in understanding your math problems and will improve your skills as well. This tool will scan your math problem and provide you a quick solution. More than 1 million problems get solved by the Photomath tool.
This tool is easy to use, all you need is your mobile camera to scan the math question or problem. You will get a step by step solution for your problem. Photomath is your personal teacher, it helps you by explaining the calculation steps in an animated manner. Therefore, you are stuck with any problem, get the solution instantly just by scanning the problem with Photomath.
You all might be familiar with the services of Khan Academy. It provides you with study material on various topics. Cocoa-5 is a program to compute with numbers and polynomials.
To get a quick overview on how to use cocoa, click What is CoCoa. It is useful for research and development of mathematical algorithms. It defines a strongly typed, mathematically correct type hierarchy. It has a programming language and a built-in compiler. Axioms is available for Linux , however it can also be installed on other platform using docker-machine for docker.
GAP provides a programming language , a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. In the number field case, algebraic integers are considered to be elements of a specified order of an appropriate field F. KANT is also the name of the sophisticated computer algebra system that has been developed under the project leadership of Prof.
Michael E. Pohst, Macaulay2 is a software system devoted to supporting research in algebraic geometry and commutative algebra. Mathics is a free, general-purpose online computer algebra system featuring Mathematica-compatible syntax and functions.
It is backed by highly extensible Python code, relying on SymPy for most mathematical tasks. Mathomatic is a portable, command-line, educational CAS and calculator software, written entirely in the C programming language. PARI is also available as a C library for faster computations. MathPiper is a new mathematics-oriented programming language which is simple enough to be learned as a first programming language and yet powerful enough to be useful in any science, mathematics, or engineering related career.
Reduce is a portable general-purpose computer algebra systme for doing scalar, vector and matrix algebra by computer, which also supports arbitrary precision numerical approximation and interfaces to gnuplot to provide graphics. It can be used interactively for simple calculations as illustrated in the screenshot above but also provides a full programming language, with a syntax similar to other modern programming languages. SageMath is a free open-source mathematics software system licensed under the GPL.
Access their combined power through a common, Python-based language or directly via interfaces or wrappers. See also sagemath documentation.
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