## Welcome to Math Help 24/7

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### Developmental Math I - MAT0018

**Integer Basics**- Addition and Subtraction
- Multiplication and Division

**Pre-Algebra Skills**- Translating word problems into symbols
- Collecting like terms
- Order of operations
- with Alison Hammack
- with Jennifer Lawhon
- with Julie Phelps (basic)
- with Julie Phelps (with several grouping symbols)

- Solving linear equations with variables on both sides

**Fraction Basics**- Addition and Subtraction
- Multiplication and Division

**Fraction Skills**- Solving equations with fractions
- Applications with fractions

**Decimal Basics**- Addition and Subtraction
- Multiplication and Division
- with Joshua Guillemette (dividing decimals)
- with Darren Lacoste (multiplying decimals)
- with Darren Lacoste (dividing decimals)

**Decimal Skills, Percent, and Applications**- Solving equations with decimals
- Applications with percents
- with Joshua Guillemette (part 1)
- with Joshua Guillemette (part 2)
- with Darren Lacoste (sale, discount, discount rate)
- with Darren Lacoste (simple interest)
- with Darren Lacoste (percent increase/decrease)

- Comparing fractions with decimals

**Perimeter, Area, Volume**- Perimeter
- Area
- Volume
- Measurement conversion
- with Joshua Guillemette (introduction)
- with Joshua Guillemette (examples)

### Developmental Math II - MAT0028

**Linear Equations**- Solving equations that contain fractions
- Solving literal equations
- Solving linear inequalities
- Find equation of a line given a table or graph

**Linear Equation Applications**- Learning the four problem-solving steps
- Dimensions of a rectangle
- Distance, rate, time
- Sale, discount, discount rate
- Simple interest
- Percent increase/decrease
- Area/Perimeter/Tax
- Mixture problems

**Graphs and Graph Information**- Interpreting slope
- Plotting points, writing ordered pairs
- Verifying solutions of equations
- Determining slope from points
- Graphing with intercepts
- Graphing horizontal & vertical lines
- Writing
*y=mx+b*from graph - Graphing from
*y=mx+b*using slope - Convert standard form to
*y=mx+b* - Completing tables to graph lines,
*mx+b*- with Joel Berman (video 1)
- with Joel Berman (video 2)

- Complete table to graph lines,
*standard form*- with Joel Berman (video 1)
- with Joel Berman (video 2)
- with Joshua Guillemette (making a table of points)

- Complete table to graph line,
*standard=0* - Setting a graphing window outside of the standard window
- with Jody DeVoe (applications)
- with Jody DeVoe (cubic functions)

**Exponents and Polynomials**- Order of operations
- Negative exponents
- Fractions
- with Alison Hammack (multiplying and dividing)
- with Joshua Guillemette (adding and subtracting)

- Decimals
- with Darren Lacoste (adding and subtracting)
- with Darren Lacoste (multiplying decimals)
- with Darren Lacoste (dividing decimals)
- with Joshua Guillemette (dividing decimals)

**Factoring**- Factoring polynomial expressions
- Solving trinomials by factoring
- Factoring a trinomial using x-factor

**Rational Expressions**- Addition and Subtraction
- Multiplication and Division
- Simplifying rational expressions
- Measurement conversion
- with Joshua Guillemette (introduction)
- with Joshua Guillemette (examples)

**Radicals**- Simplifying radicals
- Addition and Subtraction
- Rationalizing the denominator
- Pythagorean theorem

### Intermediate Algebra - MAT1033

- Exponent review - negative and rational exponents
- with James Lang (basic laws; fractional and negative exponents)

- Solving equations with rational expressions
- with Lisa Cohen (example 1)
- with Lisa Cohen (example 2)

- Solving equations using the quadratic formula
- Interpreting slope
- with Lisa Cohen
- with Jennifer Lawhon (example 1)
- with Jennifer Lawhon (example 2)

- Solving inequalities graphically
- Word problems
- with Joel Berman (linear application with two points)
- with Joel Berman (distance, rate, time)

- Factoring
- with Amanda Saxman (using trial and error)
- with Joshua Guillemette (using x-factor)

- Area/Perimeter/Tax Word Problems
- Solving linear inequalities
- Addition and subtraction of rational expressions
- with Joel Berman
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)
- with Abdellatif Dasser (example 3)
- with Abdellatif Dasser (example 4)
- with Alison Hammack

- Compound inequalities and interval notation
- Quadratic max/min applications
- Solving by extracting roots
- Solving systems of equations by elimination
- Equations of lines from a table
- Equations of lines from a graph
- Graphing inequalities
- with Joel Berman (linear in two variables)

- Finding points of intersection on the calculator
- Negative exponents
- Solving systems of equations by substitution
- Division and multiplication of rational expressions
- Vertex form
- Completing tables on the calculator

### College Algebra - MAC1105

- Applications with exponential functions
- with Jolene Rhodes
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)

- Average rate of change
- Completing the square
- with Sidra Van De Car (with no leading coefficient)
- with Sidra Van De Car (with a leading coefficient)
- with Joel Berman
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)
- with Abdellatif Dasser (example #4)

- Complex numbers
- with Abdellatif Dasser (multiplying)
- with Abdellatif Dasser (dividing)

- Composition of functions
- with Joel Berman
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)

- Compound interest
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (continuous compounding #1)
- with Abdellatif Dasser (continuous compounding #2)

- Continuous compounding vs compounding with k periods
- Converting back and forth between logs and exponentials
- Domain
- Exponent review - negative and rational exponents
- with James Lang (basic laws; fractional and negative exponents)

- Factoring
- Finding an appropriate viewing window
- with Jody DeVoe (equation with words)
- with Jody DeVoe (equation no words)
- with Jody DeVoe (cubic functions)
- with Jody DeVoe (application problems)

- Finding the distance between two points
- Finding the midpoint of a segment
- Finding points of intersection on the calculator
- Function notation
- Graphing piecewise defined functions
- with Lisa Cohen
- with Jennifer Lawhon
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)

- Graphing a system of linear inequalities
- Interpreting slope
- with Lisa Cohen
- with Jennifer Lawhon (example #1)
- with Jennifer Lawhon (example #2)

- Inverse Functions
- with Jolene Rhodes
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (verifying inverse functions)

- Quadratic Applications
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Joel Berman

- Quadratic Equations and the Vertex Formula
- Simplifying using powers of
**i** - Solving absolute value equations and inequalities
- with Luis Negron (symbolically)
- with Luis Negron (graphically)
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)
- with Abdellatif Dasser (example #4)

- Solving exponential equations
- Solving logarithmic equations
- with Lisa Cohen
- with Kurt Overhiser
- with Luis Negron (solve basic log equations [base 2,10 and e])
- with Luis Negron (solve [base 2] log equations using properties of logs)
- with Luis Negron (solve [base e] log equations using properties of logs)
- with Luis Negron (solve [base 10] log equations using properties of logs)

- Solving equations using the quadratic formula
- Solving equations with rational expressions
- with Lisa Cohen (example 1)
- with Lisa Cohen (example 2)

- Solving linear equations
- with Abdellatif Dasser (with fractions #1)
- with Abdellatif Dasser (with fractions #2)
- with Abdellatif Dasser (without fractions)

- Solving literal equations
- Solving quadratic equations by square root method
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)

- Solving using extraction of roots
- Transformations of graphs
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)
- with Abdellatif Dasser (example #4)
- with Abdellatif Dasser (example #5)
- with Abdellatif Dasser (example #6)
- with Abdellatif Dasser (example #7)

- Vertical and horizontal asymptotes
- Zeros of polynomial functions
- with Luis Negron (using Descartes' Rule of Signs)
- with Luis Negron (using the Rational Zeros test)
- with Luis Negron (using a graph)
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (classifying zeroes)
- with Abdellatif Dasser (prescribed zeroes #1)
- with Abdellatif Dasser (prescribed zeroes #2)
- with Abdellatif Dasser (complete factorization)

### College Math - MGF1106

- Combinations vs permutations
- Survey problems with Venn diagrams
- with Cathy Ferrer (2 sets)
- with Cathy Ferrer (3 sets)

- How to use z-tables
- with Cathy Ferrer (the 68-95-99.7 rule/empirical rule)
- with Cathy Ferrer (finding z - scores)
- with Cathy Ferrer (using the z-table to find areas under normal curves)
- with Cathy Ferrer (applications with normal curves)

- Truth tables
- with Cathy Ferrer Basics of Truth Tables
- with Cathy Ferrer Using the Basics

- Geometry - when to use what.
- with Cathy Ferrer (perimeter and area)

### Math For Liberal Arts - MGF1107

- Percents
- Simple Interest
- Compound Interest
- Finance Problems Using the Finance Menu on the Calculator
- with James Lang (savings example part 1)
- with James Lang (savings example part 2)
- with James Lang (savings example 2)
- with James Lang (loan example part 1)
- with James Lang (loan example part 2)

- Modular arithmetic
- Check digit problems
- Intro to Graph Theory
- Greedy algorithm
- Euler Paths and Circuits
- Traveling Salesman and Hamilton Circuits
- Brute Force Method and Nearest Neighbor Method
- Euler's formula: Like "How many V and E does an icosahedron have?
- with teacher

- Voting methods
- with Jennifer Lawhon (plurality vote with runoff)

### Statistics - STA2023

- 5-number summary
- Box Plots
- with Abdellatif Dasser (comparing distributions, ex. 1)
- with Abdellatif Dasser (comparing distributions, ex. 2)
- with Abdellatif Dasser (comparing distributions, ex. 3)

- Categorical vs Quantitative data
- Confidence interval interpretations
- Confidence intervals for proportions
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)
- with Abdellatif Dasser (example 3)

- Correlation and scatterplots
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)

- Describing a distribution
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)
- with Abdellatif Dasser (calcuating percentages)
- with Abdellatif Dasser (choosing summary statistics)

- Distinguishing between proportion and mean problems
- Dot Plots
- Explanatory and Response variables
- Finding normal percentiles
- Finding an
*x*-value given a percentile - Histograms
- Hypothesis Testing (using
*p*-values)- with Abdellatif Dasser (left-tailed test)
- with Abdellatif Dasser (right-tailed test)
- with Abdellatif Dasser (two-tailed test)

- Making decisions with Hypothesis test
- with Sylvana Vester (reject or not reject the null)
- with Sylvana Vester (writing the conclusion in context)

- Marginal and Conditional distribution
- Regression Line
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)

- Sampling distributions for proportions
- with James Lang (using the proportions sampling applet proportions applet)
- with James Lang (example problem)
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)
- with Abdellatif Dasser (example 3)
- with Abdellatif Dasser (example 4)

- Sampling distributions for means
- with James Lang (using the means applet)
- with James Lang (example problem)
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)
- with Abdellatif Dasser (example 3)
- with Abdellatif Dasser (example 4)

- Scatter plots, correlation and describing associations
- Shifting and rescaling data
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)
- with Abdellatif Dasser (example 3)

- Stem and Leaf Plot
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)

- Summarizing the center and spread of data
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)

- When to use correlation
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)
- with Abdellatif Dasser (presence of outliers)

- When to use s / √ n
- Understanding/finding a proportion and/or percent
- with Jody DeVoe (finding proportions)
- with Jody DeVoe (converting between)

*z*-scores- with Abdellatif Dasser (comparing values of two variables, ex. 1)
- with Abdellatif Dasser (comparing values of two variables, ex. 2)
- with Abdellatif Dasser (comparing values of two variables, ex. 3)
- with Abdellatif Dasser (interpreting
*z*-scores) - with Abdellatif Dasser (finding data values, ex. 1 & 2)
- with Abdellatif Dasser (finding data values, ex. 3)

### Calculator Tutorials (TI-83/TI-84)

- Entering data into the calculator
- Histograms
- Finding
*mean*,*sd*, and*5-number summary* - Regular Boxplot
- Modified Boxplot
- Entering 2-variable data/scatter plot/least squares regression line/correlation coefficient
- Using the
**normalcdf**function on the calculator

### Business Calculus - MAC2233

- Algebraic manipulation skills
- Applications of derivatives
- with Abdellatif Dasser
- with Abdellatif Dasser (marginal analysis)

- Applications of exponential functions
- Applications of integrals
- with Abdellatif Dasser
- with Abdellatif Dasser (indefinite integrals)

- Average rate of change
- Compound interest
- with Abdellatif Dasser
- with Abdellatif Dasser (continuous compounding)

- Continuity of functions
- with Abdellatif Dasser
- with Abdellatif Dasser (piecewise functions #1)
- with Abdellatif Dasser (piecewise functions #2)

- Derivatives
- with Abdellatif Dasser (natural logarithmic functions)
- with Abdellatif Dasser (exponential functions)
- with Abdellatif Dasser (logarithmic and exponential functions #1)
- with Abdellatif Dasser (logarithmic and exponential functions #2)

- Domain
- Equations of lines
- Exponent review with negative and rational exponents
- with James Lang (basic laws; fractional and negative exponents)
- with James Lang (writing expressions in the form Ax^n)

- Factoring methods
- Finding derivatives
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (product rule)
- with Abdellatif Dasser (quotient rule)
- with Abdellatif Dasser (chain rule)

- Finding derivatives using limit definition
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)

- Finding equations for exponential curves
- Finding limits
- with Abdellatif Dasser (using graphs)
- with Abdellatif Dasser (simplifying)

- Finding relative minimum or maximum using first derivative test
- Indefinite integrals
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)
- with Abdellatif Dasser (example #4)

- Infinite limits
- Intervals
- with Abdellatif Dasser (increase/decrease)
- with Abdellatif Dasser (concavity)

- Linear functions
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)

- Obtaining demand or supply functions and relations to cost, revenue and profit.
- Quadratic functions
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)

- Solving exponential equations
- u-substitution for integrals

### Precalculus - MAC1140

- Adding and subtracting fractions and rational expressions review
- with Joel Berman (rational expressions)
- with Alison Hammack (rational expressions)
- with Joshua Guillemette (fractions)

- Applications of exponential functions
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)

- Applications of linear functions
- with Luis Negron (given initial value and slope)
- with Luis Negron (given two points #1)
- with Luis Negron (given two points #2)

- Completing the square
- with Sidra Van De Car (with no leading coefficient)
- with Sidra Van De Car (with a leading coefficient)
- with Joel Berman
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)
- with Abdellatif Dasser (example #4)

- Complex numbers
- with Abdellatif Dasser (multiplying)
- with Abdellatif Dasser (dividing)

- Composition of functions
- with Joel Berman
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)

- Compound interest
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (continious compounding #1)
- with Abdellatif Dasser (continious compounding #2)

- Deciding whether (x-k) is a factor of a polynomial
- Determinant of 3x3
- Determining odd and even functions
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)

- Difference quotient/average rate of change
- with Joel Berman
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (average rate of change)

- Evaluating logarithms
- Exponent review with negative and rational exponents
- with James Lang (basic laws; fractional and negative exponents)
- with James Lang (writing expressions in the form Ax^n)

- Exponential functions
- with Joel Berman (compound interest)
- with Joel Berman (sketch exponential function and inverse)
- with Joel Berman (writing an exponential function)

- Factoring
- with Jennifer Lawhon
- with Joel Berman (graphing to factor)

- Finding a polynomial that satisfies given conditions
- Finding equations for exponential curves
- Finding the distance between two points
- Finding the equation of a circle
- Finding the midpoint of a segment
- Gaussian elimination
- Graphing rational functions
- with Luis Negron (asymptotes and intercepts)
- with Luis Negron (asymptotes and intercepts and a "hole")
- with Luis Negron (slant asymptotes)
- with Joel Berman (with a "hole" #1)
- with Joel Berman (with a "hole" #2)
- with Joel Berman (with slant asymptotes)
- with Joel Berman (rational function that crosses horizontal asymptote)

- Inequalities
- with Jolene Rhodes
- with Luis Negron (quadratic inequalities symbolically)
- with Luis Negron (quadratic inequalities graphically)
- with Luis Negron (absolute value inequalities symbolically)
- with Luis Negron (absolute value inequalities graphically)
- with Luis Negron (linear inequalities graphically)
- with Joel Berman (solving absolute value equations and inequalities)
- with Joel Berman (solve inequality graphically)

- Intervals of increasing/decreasing
- with Jody DeVoe (understanding increasing/decreasing)
- with Jody DeVoe (writing intervals of increasing/decreasing)

- Inverse functions
- with Joel Berman
- with Joel Berman (find
*f*inverse*2*) - with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (verifying inverse functions)

- Logarithmic functions
- with Joel Berman (sketch log functions)
- with Joel Berman (condensing logarithms)
- with Abdellatif Dasser (condensing logarithms #1)
- with Abdellatif Dasser (condensing logarithms #2)
- with Joel Berman (expanding logarithms)
- with Abdellatif Dasser (expanding logarithms #1)
- with Abdellatif Dasser (expanding logarithms #2)

- One-to-one functions
- Optimization
- with Joel Berman (problem #1)
- with Joel Berman (problem #2)
- with Joel Berman (problem #3)
- with Joel Berman (problem #4)
- with Joel Berman (problem #5)

- Piecewise functions
- Polynomials
- with Joel Berman (graph and interpret polynomial w/ calculator)
- with Joel Berman (determine degree of polynomial from graph)
- with Joel Berman (long division)
- with Abdellatif Dasser (long division)
- with Joel Berman (completely factored form of polynomial #1)
- with Joel Berman (completely factored form of polynomial #2)
- with Joel Berman (using graphing to factor a polynomial)
- with Joel Berman (solve polynomial inequality graphically)
- with Joel Berman (solve polynomial inequality symbolically)

- Quadratics
- with Joel Berman (finding quadratic model from a graph)
- with Joel Berman (quadratic formula with fractional coefficients)
- with Joel Berman (convert quadratic to vertex)

- Radicals
- with Joel Berman (solving radical equations #1)
- with Joel Berman (solving radical equations #2)
- with Joel Berman (rewrite using radical notation)

- Rational zero theorem
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)

- Remainder theorem
- Simplifying using powers of
*i* - Solving absolute value equations and inequalities
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)
- with Abdellatif Dasser (example #4)

- Solving equations using substitution
- with Joel Berman (problem #1)
- with Joel Berman (problem #2)
- with Joel Berman (problem #3)

- Solving exponential equations
- Solving linear equations
- with Abdellatif Dasser (with fractions #1)
- with Abdellatif Dasser (with fractions #2)
- with Abdellatif Dasser (without fractions)

- Solving logarithmic equations
- with Luis Negron (basic log equations [base 2,10 and e])
- with Luis Negron ([base 2] log equations using properties of logs)
- with Luis Negron ([base e] log equations using properties of logs)
- with Luis Negron ([base 10] log equations using properties of logs)

- Solving quadratic equations by square root method
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)

- Solving rational equations/inequalities
- with Luis Negron (rational inequalities symbolically)
- with Luis Negron (rational inequalities graphically)
- with Joel Berman (rational equations)
- with Joel Berman (rational inequalities symbolically #1)
- with Joel Berman (rational inequalities symbolically #2)
- with Joel Berman (rational inequalities symbolically #3)
- with Joel Berman (rational inequalities graphically)

- Solving equations with non-integer exponents like x2/3 or x-2
- Synthetic division
- Transformations of graphs
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)
- with Abdellatif Dasser (example #4)
- with Abdellatif Dasser (example #5)
- with Abdellatif Dasser (example #6)
- with Abdellatif Dasser (example #7)

- Writing the complete factored form of f(x) given that k is a zero
- Writing the equation of a circle in standard form
- Zeros of polynomial functions
- with Luis Negron (using Descartes' Rule of Signs)
- with Luis Negron (using the Rational Zeros test)
- with Luis Negron (using a graph)
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (classifying zeroes)
- with Abdellatif Dasser (prescribed zeroes #1)
- with Abdellatif Dasser (prescribed zeroes #2)
- with Abdellatif Dasser (complete factorization)

### Trigonometry - MAC1114

- Converting degrees to degrees-minutes-seconds
- Converting degrees-minutes-seconds to degrees
- Degrees vs. Revolutions
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)

- Double-Angle Identities
- Evaluating trigonometric functions
- with Joel Berman
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)

- Evaluating inverse trigonometric functions
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)
- with Abdellatif Dasser (example 3)
- with Abdellatif Dasser (example 4)

- Expressing infinite solutions for trigonometric equations
- Finding exact values of trigonometric functions
- Finding the equation given a sine or cosine graph
- Finding the measure of the central angle given the circumference
- Finding the other trigonometric solution
- Finding the radian measure of a central angle subtended by an arc
- Graphing y = Asin(Bx + C) + k or y = Acos(Bx + C) + k
- with Sylvana Vester (sine)
- with Sylvana Vester (cosine)
- with Abdellatif Dasser (sine, ex. 1)
- with Abdellatif Dasser (sine, ex. 2)
- with Abdellatif Dasser (cosine)

- Laws of Sines: The Ambiguous Case
- with Jody DeVoe (one triangle)
- with Jody DeVoe (two triangles)
- with Jody DeVoe (no triangles)

- Linear and angular velocity
- Locating angles greater than 1 revolution (like 15π/7 or -1020°)
- with Sylvana Vester (part 1)
- with Sylvana Vester (part 2)

- Polar Coordinates
- with Jody DeVoe (plotting points)
- with Jody DeVoe (converting points)
- with Jody DeVoe (graphing equations in polar)
- with Jody DeVoe (converting equations into polar)

- Radians to Degrees conversion
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)

- Reference angles
- Reducing fractions with π
- with teacher

- Signs of sine and cosine
- with Wakeel Zainulabdeen

- Simplifying expressions using fundamental identities
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)
- with Abdellatif Dasser (example 3)
- with Abdellatif Dasser (example 4)
- with Abdellatif Dasser (example 5)
- with Abdellatif Dasser (example 6)
- with Abdellatif Dasser (example 7)
- with Abdellatif Dasser (example 8)

- Simplifying inverse functions such as cos(sin^1(¼)) exactly
- Sketching angles in standard position
- SOHCAHTOA
- Solving trigonometric equations
- with Sylvana Vester (basic equations)
- with Sylvana Vester
- with Wakeel Zainulabdeen (basic equations)

- Solving trigonometric equations that require using an identity
- with Wakeel Zainulabdeen
- with Abdellatif Dasser (introduction)
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)
- with Abdellatif Dasser (example 3)
- with Sidra Van De Car

- Solving trigonometric equations
- with Jody DeVoe (of the form y = Asin(Bx +C))
- with Jody DeVoe (factoring)
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)
- with Abdellatif Dasser (example 3)

- Solving trigonometric equations that require the quadratic formula or factoring
- Solving applied triangle problems
- with James Lang (basic right triangles)
- with James Lang (two right triangles; two equations)

- Solving equations with 2θ, 3θ etc.
- with teacher

- Sum and Difference trigonometric identities
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)

- Unit circle-special angles
- with Jody DeVoe (in quadrant I)
- with Jody DeVoe (outside quadrant I)
- with Jody DeVoe (where do those coordinates come from?)

- Using the fundamental identities to find the exact values of the remaining trigonometric
functions
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)

- Using general (coordinate) definition for non-special angles
- Vectors
- Abdelatif Dasser (dot product)
- Abdelatif Dasser (cross product)
- Abdelatif Dasser (angle between two vectors)
- Abdelatif Dasser (resolving a vector into components)
- with Jim Franklin (vector projections)

- Verifying basic identities
- Verifying double or half angle identities
- Verifying if a point lies on the unit circle

### Calculus I - MAC2311

- Area between curves
- with Kurt Overhiser
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)

- Chain Rule
- with Kurt Overhiser
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)
- with Abdellatif Dasser (example #4)
- with Abdellatif Dasser (example #5)
- with Abdellatif Dasser (example #6)
- with Abdellatif Dasser (example #7)
- with Abdellatif Dasser (example #8)

- Continuity of functions
- with Abdellatif Dasser
- with Abdellatif Dasser (piecewise functions #1)
- with Abdellatif Dasser (piecewise functions #2)

- Derivatives and Concavity
- with Jody DeVoe (1st derivative)
- with Jody DeVoe (2nd derivative)

- Evaluating limits using squeeze theorem
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)

- Exponent review - negative and rational exponents
- with James Lang (basic laws; fractional and negative exponents)
- with James Lang (writing expressions in the form Ax^n)

- Finding areas using antiderivatives
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)
- with Abdellatif Dasser (example #4)

- Finding derivatives
- with Abdellatif Dasser (power rule, ex. #1)
- with Abdellatif Dasser (power rule, ex. #2)
- with Abdellatif Dasser (product rule)
- with Abdellatif Dasser (quotient rule)
- with Abdellatif Dasser (combined rules)
- with Kurt Overhiser (combined rules)

- Finding derivatives using the limit definition
- with Kurt Overhiser
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)
- with Abdellatif Dasser (example #4)

- Finding limits
- with Paul Flores (using graphs and tables)
- with Abdellatif Dasser (using graphs)
- with Abdellatif Dasser (simplifying)
- with Abdellatif Dasser (fractions)
- with Abdellatif Dasser (radicals)
- with Abdellatif Dasser (absolute value, ex. #1)
- with Abdellatif Dasser (absolute value, ex. #2)

- Finding relative minimum or maximum
- with Abdellatif Dasser (1st derivative test)
- with Abdellatif Dasser (2nd derivative test)

- Horizontal asymptotes
- Implicit Differentiation
- Indefinite integrals
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)
- with Abdellatif Dasser (example #4)
- with Abdellatif Dasser (using Riemann Sum, ex. #1)
- with Abdellatif Dasser (using Riemann Sum, ex. #2)
- with Abdellatif Dasser (using Riemann Sum, ex. #3)

- Infinite limits
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)
- with Abdellatif Dasser (example #4)
- with Abdellatif Dasser (example #5)
- with Abdellatif Dasser (example #6)

- Instantaneous Rate of Change (1st and 2nd derivatives)
- with Jody DeVoe (video #1)
- with Jody DeVoe (video #2)

- Max/Min Applications
- Related Rates
- Review of Riemann Sum
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)

- u-substitution
- with Jody DeVoe (example #1)
- with Jody DeVoe (example #2)
- with Jody DeVoe (example #3)
- with Jody DeVoe (example #4)
- with Jody DeVoe (example #5)
- with Jody DeVoe (example #6)
- with Jody DeVoe (example #7)
- with Sidra Van De Car
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)
- with Abdellatif Dasser (example #4)
- with Abdellatif Dasser (example #5)

- Volumes with Cylindrical shells
- Volumes with Disks and Washers
- with Jolene Rhodes
- with Jody DeVoe (horizontal slices)
- with Jody DeVoe (vertical slices)
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)
- with Abdellatif Dasser (example #4)
- with Abdellatif Dasser (example #5)

- Vertical asymptotes
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)

### Calculus II - MAC2312

- Application of integration to fluid pressure
- with teacher

- Area in polar coordinates
- with teacher

- Comparison test
- with teacher

- Conditional convergence vs absolute convergence
- with teacher

- Derivatives
- with Abdellatif Dasser (natural logarithmic functions)
- with Abdellatif Dasser (exponential functions)
- with Abdellatif Dasser (logarithmic and exponential functions #1)
- with Abdellatif Dasser (logarithmic and exponential functions #2)

- Exponential functions
- with Abdellatif Dasser (domain)
- with Abdellatif Dasser (limit, ex #1)
- with Abdellatif Dasser (limit, ex #2)
- with Abdellatif Dasser (limit, ex #3)
- with Abdellatif Dasser (limit, ex #4)
- with Abdellatif Dasser (limit, ex #5)

- Finding a formula for the inverse function
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)
- with Abdellatif Dasser (example #4)
- with Abdellatif Dasser (example #5)

- Finding a Maclaurin series for a function
- Integration with trignometric substitution
- with Sidra Van De Car (using secant)
- with Sidra Van De Car (using secant and completing the square)
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)
- with Abdellatif Dasser (example #4)
- with Abdellatif Dasser (example #5)
- with Abdellatif Dasser (example #6)
- with Abdellatif Dasser (example #7)
- with Abdellatif Dasser (example #8)
- with Abdellatif Dasser (example #9)

- Integration using Partial Fractions
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3 part a)
- with Abdellatif Dasser (example #3 part b)
- with Abdellatif Dasser (example #4)
- with Abdellatif Dasser (example #5)

- Sequences vs series
- with teacher

- u-Substitution
- with Jody DeVoe (example #1)
- with Jody DeVoe (example #2)
- with Jody DeVoe (example #3)
- with Jody DeVoe (example #4)
- with Jody DeVoe (example #5)
- with Jody DeVoe (example #6)
- with Jody DeVoe (example #7)
- with Sidra Van De Car
- with Abdellatif Dasser (example #1)
- with Abdellatif Dasser (example #2)
- with Abdellatif Dasser (example #3)
- with Abdellatif Dasser (example #4)
- with Abdellatif Dasser (example #5)

- Use power series to estimate an integral
- with teacher

- Write a power series using combinations of basic series
- with teacher

- Writing Taylor polynomials

### Calculus III - MAC2313

- Applications of triple integrals
- Chain rule for functions of two variables w/ one independent variable
- Abdellatif Dasser (video 1)
- Abdellatif Dasser (video 2)

- Chain rule for functions of two variables w/ two independent variables
- Abdellatif Dasser (video 1)
- Abdellatif Dasser (video 2)

- Computing partial derivatives algebraically
- Abdellatif Dasser (video 1)
- Abdellatif Dasser (video 2)
- Abdellatif Dasser (video 3)

- Continuous functions of two variables
- Abdellatif Dasser (video 1)
- Abdellatif Dasser (video 2)

- Converting equations from rectangular to cylindrical form
- Abdellatif Dasser (video 1)
- Abdellatif Dasser (video 2)

- Converting equations from cylindrical to rectangular form
- Converting equations from rectangular to spherical form
- Abdellatif Dasser (video 1)
- Abdellatif Dasser (video 2)
- Abdellatif Dasser (video 3)
- Abdellatif Dasser (video 4)
- Abdellatif Dasser (video 5)

- Converting equations from spherical to rectangular
- Differential of a function of two variables
- Abdellatif Dasser (video 1)
- Abdellatif Dasser (video 2)

- Directional derivatives
- Abdellatif Dasser (find using the limit function)
- Abdellatif Dasser (gradient vectors)
- Abdellatif Dasser (estimating)

- Domain of a function of two variables
- Abdellatif Dasser (video 1)
- Abdellatif Dasser (video 2)
- Abdellatif Dasser (video 3)

- Double integrals
- Abdellatif Dasser (over a general region - video 1)
- Abdellatif Dasser (over a general region - video 2)
- Abdellatif Dasser (reversing the order of integration - video 1)
- Abdellatif Dasser (reversing the order of integration - video 2)
- Abdellatif Dasser (reversing the order of integration - video 3)
- Abdellatif Dasser (volume over a general region - video 1)
- Abdellatif Dasser (volume over a general region - video 2)
- Abdellatif Dasser (polar coordinates - video 1)
- Abdellatif Dasser (polar coordinates - video 2)

- Equation of the tangent plane to a surface of a function of two variables
- Estimating partial derivatives
- Abdellatif Dasser (using a contour diagram)
- Abdellatif Dasser (using the algebraic formula of a function)

- Evaluating a line integral over a curve
- Abdellatif Dasser (video 1)
- Abdellatif Dasser (video 2)

- Evaluating the double integrals by converting to polar coordinates
- Abdellatif Dasser (video 1)
- Abdellatif Dasser (video 2)
- Abdellatif Dasser (video 3)
- Abdellatif Dasser (video 4)

- Finding directions of maximum, minimum, and zero rate of change
- Finding the direction of steepest ascent
- Finding an equation of a plane
- Abdellatif Dasser (given a point and a normal vector)
- Abdellatif Dasser (given three points)

- Functions of two variables
- with Paul Flores
- with Paul Flores (verifying solutions to Laplace’s Equation)
- Abdellatif Dasser (max, min, & saddle points - video 1)
- Abdellatif Dasser (max, min, & saddle points - video 2)
- Abdellatif Dasser (absolute extrema - video 1)
- Abdellatif Dasser (absolute extrema - video 2)
- Abdellatif Dasser (absolute extrema - video 3)
- Abdellatif Dasser (absolute extrema - video 4)

- Gradient vector and all of its properties
- Graphing functions of two variables
- Abdellatif Dasser (video 1)
- Abdellatif Dasser (video 2)
- Abdellatif Dasser (sections of functions)

- Level surfaces
- Abdellatif Dasser (video 1)
- Abdellatif Dasser (video 2)
- Abdellatif Dasser (video 3)

- Limit of a function of two variables
- with Paul Flores
- Abdellatif Dasser (video 1)
- Abdellatif Dasser (video 2)
- Abdellatif Dasser (video 3)

- Linear approximation to a function of two variables
- Linear functions of two variables
- Making contour diagrams
- Abdellatif Dasser (video 1)
- Abdellatif Dasser (video 2)
- Abdellatif Dasser (video 3)
- Abdellatif Dasser (video 4)

- Parametric equations
- Abdellatif Dasser (video 1)
- Abdellatif Dasser (video 2)

- Spherical coordinates
- with Jody DeVoe (defining the coordinates)
- with Jody DeVoe (using the spherical coordinates applet)
- with Jody DeVoe (spherical coordinates applet)
- with Jody DeVoe (volume of a sphere)
- with Jody DeVoe (volume of a snow cone)
- with Jody DeVoe (rectangular to spherical coordinates)

- Triple integrals
- Abdellatif Dasser (cylindrical coordinates - video 1)
- Abdellatif Dasser (cylindrical coordinates - video 2)
- Abdellatif Dasser (cylindrical coordinates - video 3)
- Abdellatif Dasser (cylindrical coordinates - video 4)
- Abdellatif Dasser (spherical coordinates - video 1)
- Abdellatif Dasser (spherical coordinates - video 2)
- Abdellatif Dasser (spherical coordinates - video 3)
- Abdellatif Dasser (spherical coordinates - video 4)
- Abdellatif Dasser (spherical coordinates - video 5)
- Abdellatif Dasser (spherical coordinates - video 6)
- Abdellatif Dasser (spherical coordinates - video 7)

- Vectors
- Abdellatif Dasser (dot product)
- Abdellatif Dasser (cross product)
- Abdellatif Dasser (angle between two vectors)
- Abdellatif Dasser (resolving a vector into components)
- with Jim Franklin (vector projections)

### Differential Equations - MAP2302

- Applied first order
- with teacher

- Bernoulli differential equations
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)

- Cauchy-Euler equations
- with Abdellatif Dasser (distinct real roots)
- with Abdellatif Dasser (repeated real roots)
- with Abdellatif Dasser (conjugate complex roots)
- with Abdellatif Dasser (3rd order equation)
- with Abdellatif Dasser (variation of parameters)

- Determining the form of
*yp*- with Jim Franklin (annihilator method)

- Determine behavior of solution in 2nd order linear without solving
- Determine if the differential equation is exact
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)

- Determine if the differential equation is homogenous
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)

- Euler's method
- with Jody DeVoe (graphing calculator)

- Existence and uniqueness theorem for first order IVPs
- Homogeneous linear equations with constant coefficients
- with Abdellatif Dasser (2nd order, distinct real roots)
- with Abdellatif Dasser (2nd order, repeated real roots)
- with Abdellatif Dasser (2nd order, conjugate roots)
- with Abdellatif Dasser (3rd order, ex. 1)
- with Abdellatif Dasser (3rd order, ex. 2)
- with Abdellatif Dasser (4th order, ex. 1)
- with Abdellatif Dasser (4th order, ex. 2)

- Indefinite integrals
- Inverse Laplace resulting in unit step functions
- with Sidra Van De Car

- Laplace of unit step functions
- with teacher

- Linear dependence using Wronskian
- Linear dependence/independence
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)
- with Abdellatif Dasser (example 3)

- Mixture problems
- Partial fractions
- with Abdellatif Dasser (linear factors)
- with Abdellatif Dasser (repeated linear factors)
- with Abdellatif Dasser (multiple linear factors)
- with Abdellatif Dasser (quadratic factors)

- Phase line diagrams given a sketch of y vs dy/dx
- with teacher

- Reduction of order differential equations
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)

- Reduction to separation of variables
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)
- with Abdellatif Dasser (example 3)

- Set up DE from a verbal statement
- with teacher

- Solving differential equations by separation of variables
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)
- with Abdellatif Dasser (example 3)

- Solving differential equations using undetermined coefficients method: (annihilator
method)
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)

- Solving differential equations using variation of parameters
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)

- Solving initial value problems by separation of variables
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)
- with Abdellatif Dasser (example 3)
- with Abdellatif Dasser (example 4)
- with Abdellatif Dasser (example 5)

- Solving initial value problems using Laplace transforms
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)

- Solving non homogeneous differential equations using the undetermined coefficients
method
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)
- with Abdellatif Dasser (example 3)
- with Abdellatif Dasser (example 4)
- with Abdellatif Dasser (example 5)
- with Abdellatif Dasser (example 6)

- Solving the first order differential equations using the integrating factor
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)
- with Abdellatif Dasser (example 3)

- u-substitution for integrals
- with Abdellatif Dasser (example 1)
- with Abdellatif Dasser (example 2)
- with Abdellatif Dasser (example 3)
- with Abdellatif Dasser (example 4)
- with Abdellatif Dasser (example 5)

- Writing a piece-wise defined function with unit step functions

### Graphing Calculator Videos On Various Topics

**Statistics**- Entering data into the calculator
- Histograms
- Finding
*mean, sd*, and*5-number summary* - Regular Boxplot
- Modified Boxplot
- Entering 2-variable data/scatter plot/least squares regression line/correlation coefficient
**Algebra**- Linear Regression
- Graphing windows
- with Jody DeVoe (cubic functions)
- with Jody DeVoe (applications)

**Differential Equations**- Euler's Method

- Videos by Cathy Ferrer
- Making a table for a function
- Creating a Scatterplot on the Calculator
- Numerical and Graphical Representations of Linear Functions
- Solving a linear equation graphically
- Solving Linear Inequalities Graphically
- Graphical Solution of Systems of Equations
- Solving a System of Linear Inequalities with Technology
- Solving Quadratic Equations Graphically
- Applications of Quadratic Equations Geometry
- Applications of Quadratic Equations Speed
- Applications of Quadratic Equations Box Dimensions
- Solving Rational Equations Graphically
- Applications of Rational Functions
- Solving Rational Equations Graphically
- Solving Rational Equations Wind Speed
- Solving Rational Equations Speed
- Solving an Equations with Rational Exponents Graphically
- Solving Quadratic Equations Graphically