Goals & Objectives | Syllaweb | Calendar | Faculty & Staff

 

• Home
• Mathematics
• Engineering
• Computer Science

Mathematics

• Mathematics Home
• Program Requirements
• Course Descriptions



• Math Club

Quick Links

• Resources for Students
• Resources for Instructors
• Scholarships (word, pdf)
• Syllaweb
• Math Lab
• Watch or Download Videos

Watch or Download Videos

• Math 123, Math in Modern Society
• Math 143, College Algebra

Math 143, College Algebra

This course includes fundamental concepts of Algebra; equations and inequalities; functions and graphs; polynomial, rational, exponential and logarithmic functions; systems of equations and inequalities; conics; the Binomial Theorem. Credit hours are not granted in both MATH 143 and MATH 147. Prerequisite: MATH 108 with a grade of 'C' or better or CSI Placement Test Score.

These are some helpful videos. To view these, make sure you have Windows Media Player 6.0 or better. The Videos are best viewed at 720 x 480. ("Full Screen" mode is usually your best bet when your screen resolution is set to 640 x 480 or 800 x 600.)

• Test Video
• Sec. 1.1 Cartesian Coordinates and Graphing
• Sec. 1.1 Graphing Utilities

• Sec. 1.2, Evaluate algebraic expressions,Identity properties of the Real numbers, Simplify algebraic expressions.
• Sec. 1.2 Identity properties of the Real numbers.
• Sec. 1.2 Solve equations with constants in denominators.
• Sec. 1.2 Solve equations with variables in denominators (Identify prohibited values), Recognize identities, conditional equations, and inconsistent equations.
• Sec. 1.2 Solving extraneous solutions.

• Sec. 1.3 Solve problems using formulas, Use linear equations to solve problems.
• Sec. 1.3 Solve for a variable in a formula.

• Sec. 1.4 Imaginary and Complex, Adding and Subtracting.
• Sec. 1.4 Multiplying and Conjugating Complex Numbers.
• Sec. 1.4 Dividing Complex Numbers, Principal Roots, and a warning about the product rule.

• Sec. 1.5 Solve quadratic equations by factoring.
• Sec. 1.5 Solve quadratic equations by the square root method, Solve quadratic equations by completing the square.
• Sec. 1.5 Solve quadratic equations using the quadratic formula.
• Sec. 1.5 Use the discriminant to determine the kinds of solutions, Determine the most efficient method to use when solving a quadratic equation, Solve problems modeled by quadratic equations.

• Sec. 1.6 Solve polynomial Equations by factoring.
• Sec. 1.6 Solve radical equations.
• Sec. 1.6 Solve equations with rational exponents.
• Sec. 1.6 Solve equations that are quadratic in form.
• Sec. 1.6 Solve equations involving absolute value.

• Sec. 1.7 Graph an inequality's solution set.
• Sec. 1.7 Use set-builder and interval notations.
• Sec. 1.7 Use properties of inequalities to solve inequalities.

• Sec. 1.8 Solve quadratic inequalities.
• Sec. 1.8 Solve quadratic inequalities.
• Sec. 1.8 Solve quadratic inequalities.
• Sec. 1.8 Solve rational inequalities.
• Sec. 1.8 Solve rational inequalities.
• Sec. 1.8 Solve rational inequalities.
• Sec. 1.8 Solve problems modeled by nonlinear inequalities.
• Sec. 1.8 Solve problems modeled by nonlinear inequalities.

• Sec. 2.1 Compute a line's slope.
• Sec. 2.1 Write and graph the slope-intercept equation of a line. Recognize and use the general form of a line's equations.
• Sec. 2.1 Write the point-slope equation of a line. Write and graph the slope-intercept equation of a line. Recognize and use the general form of a line's equations.
• Sec. 2.1 Recognize equations of horizontal and vertical lines.
• Sec. 2.1 Find slopes and equations of parallel lines.
• Sec. 2.1 Find slopes and equations of perpendicular lines.
• Sec. 2.1 Model data with linear equations.

• Sec. 2.2 The Distance Formula
• Sec. 2.2 The Distance Between Two Points and the Midpoint
• Sec. 2.2 Write the standard form of a circle's equation. Give the center and radius of a circle whose equation is in standard form.
• Sec. 2.2 Convert the general form of a circle's equation to standard form.
• Notes for 2.2 Videos
• Download All 2.2 Videos at Once (Zip File)

• Sec. 2.3 Determine whether a relation is a function. Determine whether an equation represents a function.
• Sec. 2.3 Evaluate a function.
• Sec. 2.3 Find the domain and range of a relation. Understand and use piecewise functions. Find the domain of a function.
• Notes for 2.3 Videos
• Download All 2.3 Videos at Once (Zip File)

• Sec. 2.4 Graphing functions.
• Sec. 2.4 Increasing, Decreasing, Constant
• Sec. 2.4 Reading graphs, Domain and Range, Vertical line test.
• Sec. 2.4 Symmetry (Even and Odd).
• Sec. 2.4 Graphing step functions.
• Notes for 2.4 Videos
• Download All 2.4 Videos at Once (Zip File)

• Sec. 2.5 Graphs of common functions.
• Sec. 2.5 Use vertical shifts to graph functions.
• Sec. 2.5 Use horizontal shifts to graph functions.
• Sec. 2.5 Use reflections to graph functions.
• Sec. 2.5 Use vertical stretching and shrinking to graph functions.
• Sec. 2.5 Graph functions involving a sequence of transformations.
• Notes for 2.5 Videos
• Download All 2.5 Videos at Once (Zip File)

• Sec. 2.6 Combine functions arithmetically, specifying domains.
• Sec. 2.6 Form composite functions.
• Sec. 2.6 Decomposing Functions
• Notes for 2.6 Videos
• Download All 2.6 Videos at Once (Zip File)

• Sec. 2.7 Verify inverse functions. Find the inverse of a function
• Sec. 2.7 Use the horizontal line test to determine if a function has an inverse function. Use the graph of a one-to-one function to graph its inverse function.
• Notes for 2.7 Videos
• Download All 2.7 Videos at Once (Zip File)

• Sec. 3.1 Introduction to chapter 3.
• Sec. 3.1 Recognize characteristics of Parabolas. Graph parabolas.
• Sec. 3.1 Quadratic functions in translation form. Completing the square.
• Sec. 3.1 Completing the square for quadratic functions.
• Sec. 3.1 Graph parabolas.
• Sec. 3.1 Solve problems involving minimizing or maximizing quadratic functions.
• Notes for 3.1 Videos
• Download All 3.1 Videos at Once (Zip File)

• Sec. 3.2 Recognize characteristics of graphs of polynomial functions. Smooth, no breaks or jumps. Determine end behavior.
• Sec. 3.2 Use factoring to find zeros of polynomial functions. Identify the multiplicity of a zero. Understand the relationship between degree and turning points. Graph polynomial functions.
• Notes for 3.2 Videos
• Download All 3.2 Videos at Once (Zip File)

• Sec. 3.3 Use long division to divide polynomials.
• Sec. 3.3 Use synthetic division to divide polynomials.
• Sec. 3.3 Evaluate a polynomial using the Remainder Theorem. Use the factor theorem to solve a polynomial equation.
• Notes for 3.3 Videos
• Download All 3.3 Videos at Once (Zip File)

• Sec. 3.4 Use the Rational Zero Theorem to find possible rational zeros. Find zeros of a polynomial function. Solve polynomial equations.
• Sec. 3.4 Use Descartes' Rule of Signs.
• Notes for 3.4 Videos
• Download All 3.4 Videos at Once (Zip File)

• Sec. 3.5 Find bounds for the roots of a polynomial equation.
• Sec. 3.5 Approximate real zeros.
• Sec. 3.5 Use conjugate roots to solve a polynomial equation.
• Sec. 3.5 Use conjugate roots to solve a polynomial equation. Use the Linear Factorization Theorem to factor a polynomial. Find polynomials with given roots.
• Sec. 3.5 Use the Linear Factorization Theorem to factor a polynomial.
• Notes for 3.5 Videos
• Download All 3.5 Videos at Once (Zip File)

• Sec. 3.6 Find the domain of rational functions. Use arrow notation.
• Sec. 3.6 Identify vertical asymptotes.
• Sec. 3.6 Identify horizontal asymptotes. Identify slant asymptotes.
• Sec. 3.6 Graph rational functions.
• Notes for 3.6 Videos
• Download All 3.6 Videos at Once (Zip File)

• Sec. 3.7 Solve direct variation problems. Solve inverse variation problems. Solve combined variation problems. Solve problems involving joint variation.
• Notes for 3.7 Video

• Sec. 4.1 Graph Exponential Functions.
• Sec. 4.1 Evaluate Exponential Functions.
• Sec. 4.1 Use compound interest formulas.
• Notes for 4.1 Videos
• Download All 4.1 Videos at Once (Zip File)

• Sec. 4.2 Change from Logarithmic to Exponential Form. Change from exponential to logarithmic form.
• Sec. 4.2 Use basic logarithmic properties. Find the domain of a logarithmic function.
• Sec. 4.2 Graph logarithmic functions. Use common logarithms. Use natural logarithms.
• Notes for 4.2 Videos
• Download All 4.2 Videos at Once (Zip File)

• Sec. 4.3 Use the product rule. Use the quotient rule. Use the power rule. Expand logarithmic expressions. Condense logarithmic expressions.
• Sec. 4.3 Domains. Use the change of base formula.
• Sec. 4.3 Proofs of rules.
• Notes for 4.3 Videos
• Download All 4.3 Videos at Once (Zip File)

• Sec. 4.4 Solve exponential equations.
• Sec. 4.4 Solve logarithmic equations.
• Notes for 4.4 Videos
• Download All 4.4 Videos at Once (Zip File)

• Sec. 4.5 Model Exponential Growth and Decay.
• Sec. 4.5 Model Exponential Growth and Decay. Model data with exponential and logarithm functions.
• Sec. 4.5 Use logistic growth models. Model data with exponential and logarithm functions. Express an exponential in base e.
• Notes for 4.5 Videos
• Download All 4.5 Videos at Once (Zip File)

• Sec. 5.1 Decide whether an ordered pair is a solution of a linear system. Solve linear systems by substitution.
• Sec. 5.1 Solve linear systems by addition.
• Sec. 5.1 Identify systems that do not have exactly one ordered-pair solution.
• Notes for 5.1 Videos
• Download All 5.1 Videos at Once (Zip File)

• Sec. 5.2 Verify the solution of a linear system in three variables.
• Sec. 5.2 Solve linear systems in three variables.
• Sec. 5.2 Solve problems using systems in three variables.
• Notes for 5.2 Videos
• Download All 5.2 Videos at Once (Zip File)

• Sec. 5.4 Recognize systems of nonlinear equations in two variables. Solve nonlinear systems by substitution.
• Sec. 5.4 Solve nonlinear systems be addition.
• Sec. 5.4 Solve problems using systems of nonlinear equations.
• Notes for 5.4 Videos
• Download All 5.4 Videos at Once (Zip File)

• Sec. 5.5 Graph a linear inequality in two variables.
• Sec. 5.5 Graph a nonlinear inequality in two variables.
• Sec. 5.5 Graph a system of inequalities.
• Sec. 5.5 Solve applied problems involving systems of inequalities.
• Notes for 5.5 Videos
• Download All 5.5 Videos at Once (Zip File)

• Sec. 5.6 Use inequalities to describe limitations in a situation. Use linear programming to solve problems.
• Sec. 5.6 Write an objective function describing a quantity to be maximized or minimized.
• Notes for 5.6 Videos
• Download All 5.6 Videos at Once (Zip File)

• Sec. 7.1 Introduction to chapter 7. Cones and ellipses.
• Sec. 7.1 Graph ellipses centered at the origin. Write equations of ellipses in standard form.
• Sec. 7.1 Graph ellipses centered at the origin. Graph ellipses not centered at the origin.
• Sec. 7.1 Write equations of ellipses in standard form. Graph ellipses not centered at the origin.
• Sec. 7.1 Solve applied problems involving ellipses.
• Notes for 7.1 Videos
• Download All 7.1 Videos at Once (Zip File)

• Sec. 7.2 Locate a hyperbola's vertices and foci. Write equations of hyperbolas in standard form.
• Sec. 7.2 Graph hyperbolas centered at the origin. Hyperbolas: asymptotes.
• Sec. 7.2 Graph hyperbolas not centered at the origin.
• Sec. 7.2 Graph hyperbolas centered at the origin. Graph hyperbolas not centered at the origin.
• Notes for 7.2 Videos
• Download All 7.2 Videos at Once (Zip File)

• Sec. 7.3 Graph parabolas with vertices at the origin.
• Sec. 7.3 Write equations fo parabolas in standard form.
• Sec. 7.3 Solve applied problems involving parabolas.
• Sec. 7.3 Graph parabolas with vertices not at the origin.
• Notes for 7.3 Videos
• Download All 7.3 Videos at Once (Zip File)

• Sec. 8.5 Evaluate a binomial coefficient.
• Sec. 8.5 Recognize patterns in binomial expansions. Expand a binomial raised to a power.
• Sec. 8.5 Find a particular term in a binomial expansion.
• Notes for 8.5 Videos
• Download All 8.5 Videos at Once (Zip File)

back to top