# Read e-book Basic Algebra [modern] Contents:

Calculating grocery expense. How much money you will need to take to the grocery store? Filling up the gas tank. Find three consecutive numbers whose sum is A group of 5 boys goes to the theatre for an evening show. What is the cost per person? What is the dimension of the rectangle? The length is 6 cm and the width is 12 cm Explanation :. Become a member today! Are you a member? Sign in! Login to your account. Ratio and proportion. Factors and multiples.

Place value. Math practice skills. Algebra Problems. Addition practice. This honors course will also introduce topics from differential equations with applications. Note: STA L must be taken as a corequisite. Topics include logic, problem solving, linear modeling, beginning statistics and probability, exponential and logarithmic modeling, formula use. Parameter estimation and hypothesis testing for variety of situations with wide applications.

Limits, derivatives, and integrals of the elementary functions of one variable, including transcendental functions.

A study of conic sections, polar coordinates, and parametric equations. Derivatives and integrals of functions of more than one variable. A study of the calculus of vector-valued functions. PR: MTH PR: Permission of instructor. Applications include vibrations and electrical circuits.

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2. Lower Division!
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Laplace transform, approximate solutions, orthogonal functions, Fourier series; partial differential equations including heat, wave, and Laplace equations. Coordinate-free methods are emphasized. Recommended for pre-service middle school teachers and for elementary and secondary in-service teachers.

## Algebra -- from Wolfram MathWorld

May not be used for either a mathematics specialization or for a degree offered by the Department of Mathematics. Recommended for pre- service middle school teachers and for elementary and secondary in-service teachers. Problems to be modeled are drawn from diverse areas of application and use a wide range of undergraduate mathematics. PR: One previous course in statistics and some familiarity with calculus and linear algebra, or permission of instructor. PR: One previous course in statistics and some familiarity with calculus and linear algebra, or permission of instructor 3 Credit Hours General syllabus MTH — Partial Differential Equations Elementary partial differential equations.

Topics include the existence and uniqueness of solutions and the behavior of solutions including stability of nonlinear systems, periodic solutions, and approximation using pertubation methods. PR: One previous course in statistics and some familiarity with calculus and linear algebra, or permission of instructor 3 Credit Hours General syllabus STA — Applied Time Series Analysis Finding statistical models to represent various time dependent phenomena and processes; coverage of a variety of forecasting techniques, with an emphasis on adaptive, regression, and Box-Jenkins procedures. PR: MTH or permission.

PR: STA or permission of instructor 3 Credit Hours General syllabus MTH — Advanced Calculus I A rigorous study of the real number system, continuity and differentiability of functions of a single variable, integration of functions of a single variable, infinite series.

### Lower Division

CR: MTH Basics of point-set topology: metric and topological spaces, continuity, connectedness, compactness, products, quotients. Surfaces and simplicial complexes, Euler characteristics. Homotopy, fundamental group, simplicial homology. Eigenvalues and eigenvectors. Error Analysis and norms.

Related topics and applications.

### Course Descriptions

Numerical methods are used to analyze a variety of problems. Emphasis is on understanding why these methods work and their limitations. This course is an introduction to the study of algebraic equations that goes beyond what is generally covered in a standard college algebra class. Studies techniques for solving ordinary differential equations; examines existence and uniqueness of solutions; considers a variety of applications. This course is a survey of the history of mathematics. Topics include the history of numbers, numeration systems, arithmetic, algebra, geometry, calculus, and modern geometry.

This course studies calculus with more rigor and depth than in the usual calculus sequence. Includes a variety of advanced topics offered under different subtitles. This course studies the natural numbers, integers, rational numbers, and real numbers, with a focus on the classification of real numbers as either rational or irrational and as algebraic or transcendental.

Also covered are the field properties, order properties, and completeness properties of the real number system. Linear algebra is concerned with vectors, matrices, and systems of linear equations and with functions called linear transformations. Linear algebra is one of the most important tools of applied mathematics. Some of the disciplines using linear algebra are economics, physics, biology, statistics, computer graphics, engineering, business, ecology, sociology, demography, and genetics.