Math 141 College Algebra

Math 141 Videos of Selected Topics

Topic Video Notes
Difference Quotients Video Notes
Ellipses Video Notes
Factoring Trinomials – Advanced Video Notes
Hyperbolas Video Notes
Parabolas for College Algebra Video Notes
Partial Fraction Decomposition 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 radicals
  • simplify expressions with rational exponents

Chapter 1 Videos — This chapter covers:

  • solve linear and rational equations
  • solve quadratic equations
  • use the discriminant to determine the number and type of solutions
  • solve radical equations
  • learn about extraneous 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
  • solve quadratic inequalities

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