Math 141 Videos

Video Video Notes
Absolute Value Inequalities Notes
Applications of Linear Equations Notes
Applications of Quadratic Equations Notes
Applications of Rational Equations Notes
Applications of Systems of Equations Notes
Completing the Square Notes
Complex Fractions Notes
Decimal Operations Notes
Difference Quotients Notes
Domain and Range Notes
Ellipses Notes
Exponential and Logarithmic Equations Notes
Factoring Special Products Notes
Factoring with a=1 Notes
Finding Equations of Lines Notes
Graphing Linear Equations Notes
Hyperbolas Notes
Mixture Word Problems Notes
Multiplying Polynomials Notes
Multiplying and Dividing Fractions Notes
Negative Numbers Notes
Parabolas for College Algebra Notes
Partial Fraction Decomposition Notes
Radicals Notes
Solving Quadratic Equations Notes
Special Right Triangles Notes

Course 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 — 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 — 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 — 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 — 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 — 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 — 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 — 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 — 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 — 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 — 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