Accelerated Algebra I/ Geometry A (27.09940) is the first course in a sequence of mathematics courses designed to ensure that students are prepared to take higher-level mathematics courses during their high school tenure, including Advanced Placement Calculus AB, Advanced Placement Calculus BC, and Advanced Placement Statistics.
The implementation of Georgia Standards of Excellence in Mathematics places the expected emphasis on sense-making, problem solving, reasoning, representation, modeling, connections, and communication. College Readiness Mathematics College Readiness Mathematics is a fourth course option for students who have completed Algebra I or
The core material of algebraic number theory: number fields, rings of integers, discriminants, ideal class groups, Dirichlet's unit theorem, splitting of primes; p-adic fields, Hensel's lemma, adeles and ideles, the strong approximation theorem.
Course ID: MATH 3000. 3 hours. Course Description: Theory and applications of systems of linear equations, vector spaces, and linear transformations. Fundamental concepts include: linear independence,… Course ID: MATH 3100. 3 hours.
An introductory college algebra course, often referred to as "Algebra 1" or "College Algebra," is a requirement for many academic programs. Some college algebra courses list the intended audience, such as math, engineering or business students who need the class to further their academic goals.
College Algebra (MATH 107, 3 Credits) An alternative to MATH 115). An introduction to equations and inequalities and a study of functions and their properties, including the development of graphing skills with polynomial, rational, exponential, and logarithmic functions.
Even in the US, College Algebra is really just a euphemism for pre-calculus. It's a term used at community colleges and other schools that have nonselective admissions. It's really a high school course, and high schools call it pre-calculus.
Algebra 2 is typically regarded by high schools and colleges as a predictor of college enrollment and is therefore required by most colleges.
Algebra III is basically advanced, college level algebra, so that would be using matrices, but larger ones, more complex trigonometry, precalc, etc.
Course Title: College Algebra Course Description: This course is an in-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations using matrices. Additional topics such as sequences, series, probability, and conics may be included.
College Mathematics has a more broad range of math subjects to cover, but isn't as in-depth in them. College Algebra has less to cover, but the problems are more difficult. Make sure you check with your college to find out which exam they will grant you credit for before you study for either of these CLEP tests.
College Algebra is not equivalent to Precalculus. Precalculus is a more advanced course than College Algebra. The prerequisite for Precalculus is a grade of C or better in College Algebra or the equivalent. By the equivalent, we mean a grade of B or better in one of the high school courses listed in (1) above.
College-level mathematics courses include the study of contemporary math, elementary math education, finite math, statistics, pre-calculus, differential and integral calculus, and more advanced courses in multivariate calculus, linear algebra, and differential equations.
Both the UC and California State University require three years of high school math but recommend four as part of the A-G courses that students must take to be eligible for admission. Historically, that typically includes Algebra 1, Geometry and Algebra 2, which often leads to Calculus.
Algebra 3 focuses on the continuation of study of Algebra and Trigonometry. Topics studied in this course include linear equations and inequalities, polynomials, factoring, rational expressions, trigonometric identities and functions: exponential, logarithmic, trigonometric, inverse trigonometric.
Algebra is divided into different sub-branches such as elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra.
This course provides an in-depth study of the properties of algebraic, exponential and logarithmic functions as needed for calculus. Emphasis is on using algebraic and graphical techniques for solving problems involving linear, quadratic, piece-wise defined, rational, polynomial, exponential, and logarithmic functions.
For this course we are using the free eBook: College Algebra, 3rd edition by Stitz and Zeager, supplemented with open educational resources, which can be accessed through this LibGuide.
This course was designed using open education resource (OER) materials. All rights belong to the original creators of the content.
In mathematics classrooms, students will learn to think critically in a mathematical way with an understanding that there are many different solution pathways and sometimes more than one right answer in applied mathematics. Mathematics is the economy of information . The central idea of all mathematics is to discover patterns, via reasoning and problem solving, without having to commit the information to memory as a separate fact. It is the reasoned, logical connections that make mathematics coherent. The implementation of the Georgia Standards of Excellence in Mathematics places the expected emphasis on sense-making, problem solving, reasoning, representation, modeling, representation, connections, and communication.
Four units of core credit in mathematics is required, including Coordinate Algebra or Algebra I or the equivalent; Analytic Geometry or Geometry or the equivalent; and Advanced Algebra or Algebra II or the equivalent . Additional core courses needed to complete four credits in mathematics must be chosen from the list of GSE/AP/IB/Dual Enrollment designated courses.
In every case, students’ transcripts should be carefully evaluated and compared to Georgia course content; placement assessments are appropriate as needed. Students’ interest and levels of achievement (grades) should also be considered when making a placement decision.
The Standards for Mathematical Practice represent the habits and attitudes of mathematical thinkers and are integral to the superstructure of GSE mathematics. The practice standards define the way knowledge comes together and is used by students. The Standards for Mathematical Practice describe the expertise that mathematics educators at all levels should seek to develop in their students. The practices are as follows:
Students who earn mathematics core credits in the three courses required by the Georgia Graduation Rule, Algebra I or Coordinate Algebra, Geometry or Analytic Geometry, and Algebra II or Advanced Algebra, for a total
A core mathematics credit can be awarded for successful completion of a designated Computer Science course. This credit can be used to satisfy the fourth mathematics graduation requirement. It is important to note that these Computer Science courses do not meet the fourth mathematics admission requirement for USG post-secondary institutions.
No. USG has not included Mathematics of Finance as an acceptable fourth mathematics course. Please find additional details in the USG Document, Staying on Course: The Required High School Curriculum.
Abstract algebra, emphasizing geometric motivation and applications. Beginning with a careful study of integers, modular arithmetic, and the Euclidean algorithm, the course moves on to fields, isometries of the complex plane, polynomials, splitting fields, rings, homomorphisms, field extensions…
An invitation to algebraic geometry through a study of examples. Affine and projective varieties, regular and rational maps , Nullstellensatz. Veronese and Segre varieties, Grassmannians, algebraic groups, quadrics. Smoothness and tangent space s, singularities and…
More advanced abstract algebraic structures and concepts, such as groups, symmetry, group actions, counting principles, symmetry groups of the regular polyhedra, Burnside's Theorem, isometries of R^3, Galois Theory, and affine and projective geometry.
Vector algebra and geometry, fundamental concepts of linear algebra, linear transformations, differential calculus of functions of several variables, solutions of linear systems and linear independence, extremum problems and projections. This course and its sequel give an integrated and more…
Topics include limits, continuity, differentiability, derivatives of trigonometric, exponential and logarithmic functions, optimization, curve sketching, antiderivatives, differential equations, and…
The basic partial differential equations of mathematical physics: Laplace's equation, the wave equation, and the heat equation. Separation of variables and Fourier series techniques are featured.
Course ID: MATH 3200. 3 hours. Course Title: Introduction to Higher Mathematics Course Description: Preparation in mathematical reasoning and proof-writing necessary for upper division course work in mathematics. Topics include logic, integers and induction, sets and relations, equivalence…
Georgia law requires all students to pass examinations on (a) the history of the United States and the history of Georgia and (b) the Constitution of the United States and the Constitution of Georgia. Students may satisfy these requirements by earning passing grades in HIST 2110 and POLS 1101 . (See 1425 Federal and State Constitution and History Requirements )
It is recommended that all other science and mathematics majors listed above take MATH 1113 in Area A2. Special sections of MATH 1113 are available for majors in computer science, mathematics, neuroscience, and physics, as well as for majors in biology, chemistry, geology A.S., geoscience B.S., medical technology, radiologic sciences, and sciences/math education.
Note: MATH 1401 - Elementary Statistics (3) is recommended for all health professions majors except those in the Health Sciences A.S. in Medical Technology or Radiologic Sciences.
Courses in Area F, which constitute the remaining 18 semester hours in the core curriculum, may be found in the college sections on degree requirements. These listings should also be consulted to see if there are any courses recommended from among the offerings in areas A to E. Students seeking a B.S. in mathematics and secondary school teaching will be required to take an additional nine semester hours of introductory education courses above the general requirement of 18 semester hours.
Students who are planning to transfer to Georgia State from other institutions in the University System of Georgia should note that this is Georgia State’s core curriculum and is to be followed by students who choose to complete the core curriculum at this university. The core curriculum at a student’s current University System of Georgia (USG) institution may contain different courses. However, Georgia State will grant credit for any approved core curriculum course taken at a student’s current University System of Georgia home institution even if it is different from the course offered at Georgia State.
Georgia State University requires all students seeking an associate’s or bachelor’s degree to satisfactorily complete a basic core of general education subjects. Georgia State’s core curriculum provides students with a broad background in general education and reflects the special mission of this university as an urban research institution with an international, multi-ethnic, and multi-cultural focus. Because of ongoing evaluation of the effectiveness of the core curriculum, changes may occur periodically in its configuration. Every attempt will be made to notify students when such changes occur.
If a 4 hour course is selected, the additional hour will be counted in Area F or as an elective ( for bachelor’s students).
Linear and Absolute Value Functions; Quadratic and Cubic Functions; Polynomial, Rational, and Radical Functions; Exponential and Logarithmic Functions
Linear and Absolute Value Functions; Quadratic and Cubic Functions; Polynomial, Rational, and Radical Functions; Exponential and Logarithmic Functions
In mathematics classrooms, students will learn to think critically in a mathematical way with an understanding that there are many different solution pathways and sometimes more than one right answer in applied mathematics. Mathematics is the economy of information . The central idea of all mathematics is to discover how knowing some things leads, via reasoning, to knowing more—without having to commit the information to memory as a separate fact. It is the reasoned, logical connections that make mathematics coherent. The implementation of Georgia Standards of Excellence in Mathematics places the expected emphasis on sense-making, problem solving, reasoning, representation, modeling, connections, and communication.
The Standards for Mathematical Practice describe ways in which developing student practitioners of the discipline of mathematics should engage with the subject matter as they grow in mathematical maturity and expertise throughout the elementary, middle and high school years. Designers of curricula, assessments, and professional development should all attend to the need to connect the mathematical practices to mathematical content in mathematics instruction.
MGSE9-12.A.REI.11 Using graphs, tables, or successive approximations, show that the solution to the equation f(x) = g(x) is the x-value where the y-values of f(x) and g(x) are the same.
High school students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. By high school, a student might use geometry to solve a design problem or use a function to describe how one quantity of interest depends on another. High school students making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, two-way tables, graphs, flowcharts and formulas. They can analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.
College Readiness Mathematics is a fourth course option for students who have completed Algebra I or Coordinate Algebra, Geometry or Analytic Geometry, and Algebra II or Advanced Algebra, but are still struggling with high school mathematics standards essential for success in first year post-secondary mathematics courses required for non-STEM majors. The course is designed to serve as a bridge for high school students who will enroll in non-STEM post-secondary study and will serve to meet the high school fourth course graduation requirement. The course has been approved by the University System of Georgia as a fourth mathematics course beyond Algebra II or Advanced Algebra for non-STEM majors, so the course will meet the needs of college-bound seniors who will not pursue STEM fields.
These tools might include pencil and paper, concrete models, a ruler, a protractor, a calculator, a spreadsheet, a computer algebra system, a statistical package, or dynamic geometry software. High school students should be sufficiently familiar with tools appropriate for their grade or course to make sound decisions about when each of these tools might be helpful, recognizing both the insight to be gained and their limitations. For example, high school students analyze graphs of functions and solutions generated using a graphing calculator. They detect possible errors by strategically using estimation and other mathematical knowledge. When making mathematical models, they know that technology can enable them to visualize the results of varying assumptions, explore consequences, and compare predictions with data. They are able to identify relevant external mathematical resources, such as digital content located on a website, and use them to pose or solve problems. They are able to use technological tools to explore and deepen their understanding of concepts.