Math 155 - PreCalculus - Videos

Section 1.1

1.1 a Introduction to Graphing with a calculator     1.1 b Graphing with points and a table

1.1 c Graphing with x and y intercepts              1.1 d Parent Functions          1.1 e Distance and Midpoint

Section 1.2

Functions I      Functions II     Domain and Range       Domain of a function     1.2 e Finding Domain and Range with a Calculator

Section 1.3

Slope of a line      Applications of slope      Slope Intercept Form      Three forms of the equation of a line

Applications of linear equations-alcohol       Applications of linear equations I

Applications of linear equations II

Section 1.4

Equation of a line        Applications of linear equations III        Equation of line Parallel and Perpendicular

1.4 d linear regression application         1.4 d linear regression application desmos

Section 1.5

1.5 a Solving equations linear in form      1.5 b linear equations solving different answers

Linear equations- word problem      Translations - Two or More Quantities

Section 1.6

Graphing inequalities and Interval notation     Solving linear Inequalities

 Compound Inequalities - and, or        Inequalities Word Problems - Introduction        Inequalities Word Problems

Section 2.1

2.1 a Intervals of Decrease and Increase Graph Properties 

2.1 b Intervals of Decrease and Increase Graph Properties with calculator                

2.1 c Piece-Wise Graphs            2.1 d Applications of Graph Properties Max and Min

Section 2.2 

Multiplying Functions        Adding Functions 

2.2 c Domain and Range of Function operations     2.2 d The difference Quotient

Section 2.3

Compostite Functions        2.3 b Domain of Composite Functions

Section 2.5

Parent Graphs - Graphing            2.5 b Horizontal and Vertical shifts of Parent Functions

2.5 c Vertical Stretching and shrinking           2.5 d Puting all of the transformations together

Section 2.6

2.6 Variations

  Section 3.1

Complex Numbers              Complex Numbers- Adding               Complex Numbers- Multiplying

Complex Numbers- Dividing            Complex Numbers- Powers of i 

Section 3.2

Quadratics - Square Root Property          Solving quadratic equations       Quadratic Formula 

3.2 d Solving Quadratic equations with a graphing calculator         3.2 e Solving Quadratic equations complex solutions

3.2 f Solving other equations quadratic in nature u substitution            3.2 g Quadratics the discriminant

Applications of solving quadratic equations               3.2 h Quadratics more applications

3.2 i Quadratics applications projectiles

Section 3.3

Graphing Quadratics          3.3 b Graphing quadratics domain and range

 Vertex Formula                  Vertex Formula - Application 

Section 3.4

Solving Rational Equations      Rational Equations - Formulas

Solving Radical Equations - II         Solving Radical Equations - III          Solving Radical Equations - More Complicated

Section 3.5

Absolute value equations            Absolute Value Inequalities 

Absolute Value - Special Cases 

3.5 d absolute value inequalites with a graphing calculator

Section 4.1

Polynomials 

4.1 b Left and right end behavior graphing polynomials              4.1 c properties of a polynomials

 4.1 d zeros of a polynomials.docx                 4.1 e zeros of a polynomial with a graphing calculator

 4.1 f applications of zeros of a polynomial

Section 4.2

4.2 a graphing polynomials

Section 4.3/4.4

Division of Binomials      Synthetic Division

4.3 4.4 c Remainder Theorem                  4.3 4.4 d Finding zeros of a polynomial analytically 

4.3 4.4 e Solving an equation involving a polynomial                  4.3 4.4 f writing a polynomial as a set of linear factors factoring 

4.3 4.4 g Finding all possible rational zeros                4.3 4.4 h Polynomial equations zeros factoring all together 

Section 4.5

4.5 a Graphing Rational Functions Vertical Assymptotes             4.5 b Graphing Rational Functions horizontal slant Assymptotes 

4.5 c Graphing Rational Functions holes                   4.5 d Graphing Rational Functions zero horizontal asymptote 

4.5 e Graphing Rational Functions zero slant asymptote              4.5 f Graphing Rational Functions special no asymptote 

4.5 g limits of rational functions                  4.5 h applications of rational functions

Section 4.6

Quadratic Inequalities               Quadratic Inequalities - Special Cases

4.6 c Polynomial Inequalities            4.6 d polynomial inequalities applications 

Rational Inequalities                 4.6 f solving inequalities with a graphing calculator

Review of Exponents 

Exponent rules - Multiplying, Powers                Exponent Rules - Division         Exponent Rules - Negative Exponents

 Rational Exponents                Rational Exponents - Multiply / Divide                   Rational Exponents - Powers

Section 5.1

Functions - One to One         Functions -  Inverse              Determining if a Function is an Inverse

Section 5.2

Graphing Exponential Functions              5.2 b i Applications Exponential Functions                  Compound Interest

Section 5.3 5.4

Logarithms - Introduction                 Logarithms - Sum and Difference

       Logarithms -  Domain        Logarithms - Graphing

Section 5.5

Solving Exponential Functions- Change of Base 

Logarithms -  Equations      Exponential Equations 

Section 5.6

5.6 a Exponential Growth and Decay Part 1                 5.6 b Exponential Growth and Decay Part 2

Logarithms - Applications                        5.6 d Exponential Growth and Decay forming an equation from data

Section 9.1

9.1 a Systems of linear equations (graphing)                 9.1 b Systems of linear equations (substitution)

9.1 c Systems of linear equations (addition)                      9.1 d Systems of linear equations (applications) 

9.1 e Systems of linear equations Word Problems_Translations.              

   9.1 f System of linear equations - more applications      9.1 g System of linear equations break even equilibrium

Section 9.2/9.3

9.2 a System of linear equations - Three variables

9.2 b System of linear equations using the graphing calculator to solve - Three variables

9.2 c System of linear equations inconsistent dependent - Three variables

9.2 d System of linear equations applications - Three variables

Chapter 10 playlist

Section 10.1

10.1 a Graphing Parabolas wide intro    10.1 b Graphing Parabolas wide

10.1 c Parabolas wide applications     10.1 d Graphing Parabolas with shifting

Section 10.2

10.2 a Cirlce intro.docx     10.2 b Cirlce shifted (h,k) centered       10.2 c Elipse shifted (h,k) centered

10.2 c part 2 Foci Elipse shifted (h,k) centered        10.2 d Elipse and completing the square

10.2 e Elipse application.docx

Section 10.3

10.3 a Hyperbola introduction no shifting      10.3 b Hyperbola shifting (h,k) centered

10.3 c Hyperbola and completing the square      10.3 d Review of graphing conics.docx

Section 10.4

equation solving review       10.4 systems of equations linear and conics

Chapter 11 Playlist

Section 11.1

11.1 a Sequence intro     11.1 b Sequence some more types

11.1 c series sigma notation intro     11.1 d series sigma notation expanding and simplifying

Section 11.2

11.2 a arithmitic sequence intro    11.2 b arithmitic sequence finding the formula general term from two elements points

11.2 c sum of arithmitic sequence       11.2 d applications of arithmitic sequence 

Section 11.3

11.3 a Geometric sequence intro      11.3 b Geometric sequence finding the formula general term two points elements

11.3 c sum of a geometric sequence      11.3 e infinite geometric sequence

Section 11.7

11.7 a Binomial expansion combination notation TI 84      11.7 b Binomial expansion intro

11.7 c Binomial expansion more complicated     11.7 d Binomial expansion finding the given term

Chapter 6

6 a Trigonometric Ratios      6 b Radians to degrees       6 c Co functions of trig functions complementary angles

6 d positive and negative values of trig functions        6 e trig values using a unit circle

6 e z trig values using reference angles 2        6 f Using trig ratios to find sides and angles of a right triangle

6 g Using trig ratios the fun stuff      6 h domain and range of trig functions

6 i graphing trig functions basics sine and cosine      6 j graphing trig functions sine and cosine everything

6 j graphing trig functions sine and cosine everything with desmos

Chapter 7

Intro to proving identities         proving identities tips and techniques

proving identities tricks and extra tips        proving identities putting it all together

Using the sum and difference formula to calculate values        Using the sum and difference formula with inverses 

Using the sum and difference formula to prove identities

using the double angle formula         using the double angle formula to reduce a power

using the double angle formula to prove identities

using the half angle formula         using the half angle formulas to prove identities

trig notes section 9.4 using the product to sum formulas

trig notes section 9.4 using the product to sum formulas to prove identities

equation solving review         solving trigonmetric equations linear form

solving trigonmetric equations quadratic form        solving trigonmetric equations other forms part 1

solving trigonmetric equations other forms part 2       solving trigonmetric equations other forms part 3

solving trigonmetric equations all solutions       solving trigonmetric equations applications

Solving trigonometric equations with desmos and TI       Solving trigonometric equations with desmos and TI Radians