# Math 141 College Algebra # Math 141 Videos of Selected Topics

 Topic Video Notes Difference Quotients Video Notes Domain and Range – Intermediate Video Notes Ellipses Video Notes Exponentials and Logarithms – Advanced Video Notes Factoring Special Forms – Advanced Video Notes Factoring Trinomials – Advanced Video Notes Hyperbolas Video Notes Parabolas for College Algebra Video Notes Partial Fraction Decomposition Video Notes Piecewise-Defined Functions Video Notes

# Math 141 Lecture Videos

Each of these links send you to a play list of the videos for that chapter. The videos are listed both by section number and topic.

## Chapter R Videos — This chapter covers:

• union, intersection, complement of sets
• subsets of the real numbers
• properties of the real numbers
• domain
• laws of exponents
• geometry formulas
• add, subtract, multiply and divide polynomials
• synthetic division
• special products
• factoring difference between squares and trinomials
• factor by grouping
• factor by factoring out binomial factors
• completing the square
• add, subtract, multiply and divide rational expressions
• simplify complex rational expressions
• simplify expressions with rational exponents

## Chapter 1 Videos — This chapter covers:

• solve linear and rational equations
• use the discriminant to determine the number and type of solutions
• learn how to write the solution to an inequality in interval notation
• solve linear inequalities
• solve absolute value equations and inequalities
• mixture word problems
• distance, rate, time word problems
• investment word problems
• perimeter, area and other geometry word problems
• work rate word problems

## Chapter 2 Videos — This chapter covers:

• distance and midpoint formulas
• graphing techniques
• intercepts of a graph
• graphing a line
• finding the equation of a line
• parallel and perpendicular lines
• find the equation of a circle
• graph a circle
• complete the square to put the equation of a circle in standard form
• solve variation problems – direct, inverse and joint

## Chapter 3 Videos — This chapter covers:

• definition of a function
• domain
• difference quotient
• graph basic functions
• determine if a function is even, odd or neither
• locate local minima and maxima of a graph
• determine when a graph is increasing, decreasing or  constant
• find average rate of change
• find the equation of the secant line
• graph a function using transformations:
• graph parent function
• multiply or divide x or y coordinates (if needed) then move up, down, right or left (if needed)
• come up with an equation that models a real life situation
• write one variable as a function of another variable

## Chapter 4 Videos — This chapter covers:

• determine the average rate of change (slope) of a line
• solve linear application problems
• complete the square to put a quadratic function in standard form – often called vertex form
• determine the vertex of a quadratic function using x= -b/(2a)
• determine the maximum or minimum of a quadratic function without graphing
• use quadratic models to solve real life situations

## Chapter 5 Videos — This chapter covers:

• graph a monomial function
• find zeros and multiplicities of a polynomial
• use the leading term to determine the end behavior of the graph of a polynomial function
• graph a polynomial using it’s leading term, zeros and their multiplicities
• determine where a rational function will have hole, x-intercepts, and vertical asymptotes
• determine the horizontal or slant asymptote of a rational function
• use a sign graph as an aid in graphing a function
• domain of a function
• graphing rational functions near different types of asymptotes
• solve polynomial and rational inequalities
• use of the Remainder Theorem to determine other zeros of a function
• use of the Intermediate Value Theorem to help in determining zeros of a function
• use of the Rational Zero Test to find the possible rational zeros of a function
• find the real zeros of a polynomial function
• find the complex zeros of a polynomial function
• find a function with known zeros

## Chapter 6 Videos — This chapter covers:

• find the composition of functions
• find the inverse of a function
• graph an exponential function
• graph a logarithmic function
• work with properties of logarithms
• solve exponential and logarithmic equations
• find the domain of a logarithmic function

## Chapter 7 Videos — This chapter covers:

• graph a parabola
• find the directrix, focus and latus rectum of a parabola
• graph an ellipse
• find the foci of an ellipse
• graph a hyperbola
• find the foci, and equations of the asymptotes of a hyperbola
• complete the square to change the equation of a conic section from general form to standard form
• derive the equation of a conic section

## Chapter 8 Videos — This chapter covers:

• solve a system of linear equations
• find the partial fraction decomposition for a rational expression
• solve a system of nonlinear equations

## Chapter 9 Videos — This chapter covers:

• find the terms of a sequence
• determine the formula for a sequence or series
• find the value of a series
• recognize arithmetic and geometric sequences and series
• prove statements using mathematical induction
• use the binomial theorem to expand a power of a binomial
• use the binomial theorem to find a specific term in the expansion of the power of a binomial