Math 124E (52116) with Math 92 (52117)
Section 5001
MTWR 6:00 PM - 8:20 PM - Summer 2020
Web-Remote Course

Course syllabus

Welcome Video

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Chapter 1: Equations and Inequalities

Review Section P.5: Factoring Polynomials

Introduction

• Intro to factors & divisibility (5:25)

Objective: Factoring Out the Greatest Common Factor of a Polynomial

• Factoring with the distributive property (3:27)
• Taking common factor from binomial (4:57)
• Taking common factor from trinomial (5:53)

Objective: Factor by Grouping

• Intro to grouping (13:56)
• Factoring quadratics by grouping (3:54)
• Factoring quadratics: common factor + grouping (4:45)
• Factoring quadratics: negative common factor + grouping (5:16)
• Factoring higher degree polynomials (3:57)

Objective: Factor Trinomials

• Factoring quadratics as (x+a)(x+b) (6:33)
• Factoring quadratics as (x+a)(x+b) (example 2) (4:19)
• More examples of factoring quadratics as (x+a)(x+b) (16:29)

Objective: Factor Special Types of Polynomials

• Difference of squares intro (4:53)
• Factoring difference of squares: leading coefficient ≠ 1 (2:22)
• Factoring difference of squares: analyzing factorization (3:08)
• Perfect square factorization intro (5:18)
• Factoring perfect squares (4:53)
• Factoring higher-degree polynomials: Common factor (3:38)
• Identifying perfect square form (4:36)
• Factoring perfect squares: negative common factor (3:52)

Objective: Use a General Strategy for Factoring Polynomials

• Strategy in factoring quadratics (part 1 of 2) (7:11)
• Strategy in factoring quadratics (part 2 of 2) (8:40)

Section P.6: Rational Expressions

Objective: Simplify Rational Expressions and Specify Numbers that Must be Excluded from the Domain

• Intro to rational expression simplification (15:22)
• Simplifying rational expressions: common monomial factors (6:58)
• Simplifying rational expressions: opposite common binomial factors (3:52)
• Simplifying rational expressions: grouping (6:41)
• Simplifying rational expressions: higher degree terms (5:52)
• Simplifying rational expressions: two variables (6:10)

Objective: Multiply and Divide Rational Expressions

• Multiplying & dividing rational expressions: monomials (5:55)
• Multiplying rational expressions (4:51)
• Dividing rational expressions (4:09)
• Multiplying rational expressions: multiple variables (3:37)

Objective: Add and Subtract Rational Expressions

• Adding & subtracting rational expressions: like denominators (3:44)
• Intro to adding rational expressions with unlike denominators (2:43)
• Adding rational expression: unlike denominators (5:10)
• Subtracting rational expressions: unlike denominators (4:46)
• Least common multiple (4:15)
• Least common multiple: repeating factors (2:34)
• Subtracting rational expressions: factored denominators (4:47)
• Least common multiple of polynomials (6:51)
• Subtracting rational expressions (4:36)

Objective: Simplify Complex Rational Expressions

• Nested fractions (5:45)

Section 1.1: Graphs and Graphing Utilities

Objective: Plot points in the rectangular coordinate system

• Introduction to the coordinate plane (6:47)
• Coordinate plane: graphing points (2:20)
• Coordinate plane: graphing points (6:49)
• Coordinate plane: plot ordered pairs (2:07)
• Coordinate plane: have all the points been graphed? (1:02)
• Coordinate plane: quadrants (2:23)
• Coordinate plane: graphing points and naming quadrants (1:55)
• Coordinate plane: reflecting points (3:34)

Objective: Graph equations in the rectangular coordinate system

• What are variables, expressions, and equations? (6:54)
• How to test solutions to equations using substitution (3:44)
• Checking ordered pair solutions to equations example 1 (2:34)
• Checking ordered pair solutions to equations example 2 (2:26)
• Introduction to the coordinate plane (11:21)
• Graphing solutions to two-variable linear equations example 2 (7:10)

Objective: Use a graph to determine intercepts

• Introduction to intercepts (6:32)
• x-intercept of a line (1:42)
• Finding intercepts from an equation (4:07)

Section 1.2: Linear Equations and Rational Equations

Objective: Solve linear equations in one variable

• One-step addition & subtraction equations (2:08)
• One-step subtraction equations (1:53)
• One-step division equations (11:05)
• One-step multiplication equations (2:22)
• Intro to two-step equations (5:11)
• Two-step equations intuition (8:40)
• Why we do the same thing to both sides: Variable on both sides (7:35)
• Intro to equations with variables on both sides (8:52)
• Equations with variables on both sides: 20-7x=6x-6 (4:06)
• Equation with variables on both sides: fractions (4:49)
• Equations with parentheses (6:03)

Objective: Solve rational equations with variables in the denominator

• Equation with the variable in the denominator (3:23)
• Rational equations intro (3:11)
• Equation with two rational expressions (4:15)
• Equation with two rational expressions (4:07)
• Linear equations 4 (7:38)

Objective: Recognize identities, conditional equations, and inconsistent equations

• Number of solutions to equations (5:26)
• Worked example: number of solutions to equations (1:54)

Section 1.3: Models and Applications

Objective: Solve applications involving linear models

• Percent word problem: guavas (6:17)
• Percent word problems: tax and discount (5:47)
• More percent problems (9:04)
• Two-step equation word problem: garden (2:01)

Objective: Solve formula for a variable

• Solving an equation for a variable (1:23)
• Manipulating formulas: perimeter (6:57)
• Manipulating formulas: area (2:28)
• Manipulating formulas: temperature (2:40)

Section P.2: Exponents and Scientific Notation

Objective: Evaluate Exponential Expressions

• Intro to exponents (3:02)
• The 0 & 1st power (5:06)
• 1 and -1 to different powers (6:07)
• Powers of zero (4:13)
• Comparing exponent expressions (2:08)

Objective: Simplify Exponential Expressions

• Exponent properties with products (13:59)
• Exponent properties with parentheses (5:57)
• Exponent properties with quotients (9:22)
• Negative exponents (7:13)
• Negative exponent intuition (4:37)
• Multiplying & dividing powers (integer exponents) (4:23)
• Powers of products & quotients (integer exponents) (6:43)

Section P.3: Radicals and Rational Exponents

Objective: Evaluate Square Roots

• Intro to square roots (5:23)
• Understanding square roots (1:20)

Objective: Simplify Square Root Expressions Using the Product and Quotient Rules

• Simplifying square roots (3:08)
• Simplifying square roots (variables) (4:15)
• Simplifying square-root expressions (8:29)
• Simplifying radical expressions: two variables (3:06)
• Simplifying radical expressions: three variables (5:24)

Objective: Add and Subtract Square Root Expressions

• Simplifying square-root expressions: no variables (6:19)
• Simplifying radical expressions (addition) (4:40)
• Simplifying radical expressions (subtraction) (5:45)

Objective: Rationalize Denominators

• Simplifying square roots of fractions (4:40)
• Simplifying square-root expressions: no variables (advanced) (4:42)
• Intro to rationalizing the denominator (10:17)
• Worked example: rationalizing the denominator (4:58)

Objective: Evaluate Higher Roots

• Intro to cube roots (8:00)
• Simplifying a cube root (2:36)
• Worked example: Cube root of a negative number (4:17)

Objective: Simplify Radical Expressions and Perform Calculations with Higher Roots

• Cube root of a non-perfect cube (4:50)

Objective: Simplify Expressions Using Rational Exponents

• Intro to rational exponents (4:59)
• Rewriting roots as rational exponents (4:18)
• Rewriting quotient of powers (rational exponents) (2:30)
• Rewriting mixed radical and exponential expressions (7:31)
• Simplifying hairy expression with fractional exponents (6:06)

Section 1.4: Complex Numbers

Introduction

• Intro to the imaginary numbers (5:19)
• Simplifying roots of negative numbers (4:03)
• Powers of the imaginary unit (6:20)
• Intro to complex numbers (4:43)
• Classifying complex numbers (4:38)

Objective: Add and subtract complex numbers

• Adding complex numbers (1:10)
• Subtracting complex numbers (1:52)

Objective: Multiply complex numbers

• Multiplying complex numbers (5:31)

Objective: Divide complex numbers

• Intro to complex number conjugates (8:03)
• Complex number conjugates (4:00)
• Dividing complex numbers (4:57)

Section 1.5: Quadratic Equations

Objective: Solve quadratic equations by factoring

• Zero product property (7:16)
• Solving quadratics by factoring (6:21)
• Solving quadratics by factoring: leading coefficient ≠ 1 (4:34)

Objective: Solve quadratic equations by the square root method

• Solving quadratics by taking square roots (2:17)
• Solving quadratics by taking square roots examples (5:11)
• Solving quadratics by taking square roots: with steps (4:24)
• Quadratics by taking square roots: strategy (1:44)

Objective: Solve quadratic equations by completing the square

• Completing the square (14:05)
• Worked example: Completing the square (intro) (3:21)
• Worked example: Rewriting expressions by completing the square (3:01)
• Worked example: Solving equations by completing the square (6:18)
• Worked example: completing the square (leading coefficient ≠ 1) (5:43)
• Solving quadratics by completing the square: no solution (5:24)

Objective: Solve quadratic equations by using the quadratic formula

• The quadratic formula (16:31)
• Using the quadratic formula (5:34)
• Worked example: quadratic formula (2:21)
• Worked example: quadratic formula (example 2) (6:39)
• Worked example: quadratic formula (negative coefficients) (4:50)

Section 1.6: Other Types of Equations

Objective: Solve polynomial equations by factoring

• Zeros of polynomials (with factoring): grouping (4:54)
• Zeros of polynomials (with factoring): common factor (3:31)

Objective: Solve radical equations

• Intro to square-root equations & extraneous solutions (11:09)
• Solving square-root equations: one solution (3:10)
• Solving square-root equations: two solutions (5:28)
• Solving square-root equations: no solution (3:58)
• Square-root equations intro (5:22)

Objective: Solve equations with rational exponents

• Exponential equation with rational answer (4:01)

Objective: Solve equations that are quadratic in form

• (Background) Factorization with substitution (5:12)
• (Background) Factorization with substitution (2:24)
• (Background) Factoring using the difference of squares pattern (1:48)
• Solving quadratics using structure (3:54)

Objective: Solve equations involving absolute values

• Intro to absolute value equations and graphs (10:40)
• Worked example: absolute value equation with two solutions (4:49)
• Worked example: absolute value equations with one solution (2:36)
• Worked example: absolute value equations with no solution (3:49)

Section 1.7: Linear Inequalities and Absolute Value Inequalities

Introduction

• Greater than and less than symbols (5:03)
• Plotting inequalities (6:13)
• Plotting an inequality example (1:33)

Objective: Use interval notation

• Intervals and interval notation (9:35)

Objective: Solve linear inequalities

• Testing solutions to inequalities (5:09)
• One-step inequalities examples (10:27)
• One-step inequalities: -5c ≤ 15 (2:53)
• One-step inequality involving addition (1:53)
• Inequalities using addition and subtraction (7:47)
• Two-step inequalities (4:31)
• Inequalities with variables on both sides (5:37)
• Inequalities with variables on both sides (with parentheses) (3:46)
• Multi-step inequalities (8:01)

Objective: Solve compound inequalities

• Compound inequalities: OR (4:30)
• Compound inequalities: AND (5:12)
• A compound inequality with no solution (2:40)
• Double inequalities (4:27)
• Compound inequalities examples (11:45)

Objective: Solve absolute value inequalities

• Intro to absolute value inequalities (13:12)
• Solving absolute value inequalities 1 (3:26)
• Solving absolute value inequalities 2 (4:38)
• Solving absolute value inequalities: fractions (7:29)
• Solving absolute value inequalities: no solution (2:34)

Chapter 2: Functions and Graphs

Section 2.1: Basics of Functions and Their Graphs

Objective: Determine Whether a Relation is a Function

• What is a function? (7:56)
• Relations and functions (6:56)
• Recognizing functions from graph (4:06)

Objective: Determine Whether an Equation Represents a Function

• Checking if an equation represents a function (3:32)

Objective: Evaluate a Function

• Worked example: Evaluating functions from equation (0:57)
• Function notation example (2:12)
• Function notation word problem: bank (3:23)
• Function notation word problem: beach (2:35)

Objective: Use the Vertical Line Test to Identify Functions

• Does a vertical line represent a function? (1:39)
• Testing if a relationship is a function (2:22)

Objective: Obtain Information About a Function From Its Graph

• Worked example: Evaluating functions from graph (0:43)
• Worked example: evaluating expressions with function notation (1:22)
• Worked example: matching an input to a function's output (graph) (1:06)
• Worked example: two inputs with the same output (graph) (1:48)

Objective: Identify the Domain and Range of a Function From Its Graph

• What is the domain of a function? (6:44)
• What is the range of a function? (6:38)
• Worked example: domain and range from graph (3:33)

Section 2.2: More on Functions and Their Graphs

Objective: Identify Intervals on Which a Function Increases, Decreases, or is Constant

• Increasing, decreasing, positive or negative intervals (5:55)

Objective: Use Graphs to Locate Relative Maxima or Minima

• Introduction to minimum and maximum points (5:29)
• Worked example: absolute and relative extrema (4:57)

Objective: Test for Symmetry

• Function symmetry introduction (5:21)
• Even and odd functions: Equations (3:55)
• Even and odd functions: Find the mistake (3:34)

Objective: Identify Even or Odd Functions and Recognize Their Symmetries

• Even and odd functions: Graphs (3:52)

Objective: Understand and Use Piecewise Functions

• Introduction to piecewise functions (3:48)
• Worked example: evaluating piecewise functions (4:23)
• Worked example: graphing piecewise functions (4:29)
• Worked example: domain & range of step function (2:43)
• Worked example: domain & range of piecewise linear functions (7:24)

Section 2.3: Linear Functions and Slope

Objective: Calculate a Line's Slope

• Intro to slope (6:55)
• Slope & direction of a line (2:34)
• Positive & negative slope (5:01)
• Worked example: slope from graph (4:39)
• Slope of a line: negative slope (3:59)
• Worked example: slope from two points (7:11)

Objective: Write the Point-Slope Form and Slope-Intercept Form of the Equation of a Line

• Intro to slope-intercept form (8:59)
• Worked examples: slope-intercept intro (3:45)
• Slope-intercept equation from slope & point (3:45)
• Slope-intercept equation from two points (6:41)

Objective: Identify the Slope and y-intercept and Graph the Line

• Slope from equation (6:18)
• Graph from slope-intercept equation (3:01)

Objective: Graph Horizontal and Vertical Lines

• Slope of a horizontal line (5:04)
• Horizontal & vertical lines (5:14)
• Converting to slope-intercept form (5:06)

Objective: Use Intercepts to Graph the General Form of a Line's Equation

• Worked example: intercepts from an equation (3:24)
• Intro to linear equation standard form (8:06)

Section 2.4: More on Slope

Objective: Find Slopes and Equations of Parallel and Perpendicular Lines

• Parallel & perpendicular lines intro (2:07)
• Parallel & perpendicular lines from graph (7:25)
• Parallel lines from equation (3:48)
• Parallel lines from equation (example 2) (3:02)
• Parallel lines from equation (example 3) (2:42)
• Perpendicular lines from equation (3:28)
• Writing equations of perpendicular lines (3:00)
• Writing equations of perpendicular lines (example 2) (1:44)

Section 2.5: Transformations of Functions

Objective: Perform Transformations Given the Graph of a Function

• Shifting functions introduction (5:37)
• Shifting functions examples (7:41)
• Graphing shifted functions (2:47)
• Reflecting functions introduction (7:09)
• Reflecting functions: examples (6:32)
• Scaling functions introduction (6:02)
• Scaling functions vertically: examples (5:08)
• Scaling functions horizontally: examples (8:08)
• Identifying horizontal squash from graph (3:15)
• Identifying function transformations (6:39)

Objective: Perform Translations on the Standard Quadratic Function, Square Root, and Cube Root Function

• Intro to parabola transformations (8:00)
• Shifting parabolas (4:41)
• Scaling & reflecting parabolas (4:44)
• Graphing square and cube root functions (6:47)

Objective: Perform Transformations on the Absolute Value Function

• Shifting absolute value graphs (6:11)
• Scaling & reflecting absolute value functions: equation (4:12)
• Scaling & reflecting absolute value functions: graph (3:28)
• Graphing absolute value functions (6:10)

Section 2.6: Combinations of Functions; Composite Functions

Objective: Find the Domain of a Function

• Domain of a radical function (1:46)
• Worked example: domain of algebraic functions (7:13)
• Domain of advanced functions (9:58)

Objective: Combine Functions Using the Algebra of Functions, Specifying Domains

• Adding functions (2:32)
• Subtracting functions (2:15)
• Multiplying functions (2:59)
• Dividing functions (6:17)

Objective: Form Composite Functions

• Intro to composing functions (6:14)
• Evaluating composite functions (4:09)
• Evaluating composite functions: using graphs (3:01)
• Finding composite functions (2:55)
• Evaluating composite functions (advanced) (4:10)

Section 2.7: Inverse Functions

Objective: Introduction

• Intro to inverse functions (9:05)
• Inputs & outputs of inverse functions (6:18)

Objective: Verify Inverse Functions

• Verifying inverse functions by composition (6:40)
• Verifying inverse functions by composition: not inverse (4:11)

Objective: Find the Inverse of a Function

• Finding inverse functions: linear (6:43)
• Finding inverse functions: quadratic (7:12)
• Finding inverse functions: quadratic (example 2) (7:34)
• Finding inverse functions: radical (4:36)
• Finding inverses of rational functions (4:16)

Chapter 3: Polynomial and Rational Functions

Section P.4: Polynomials

Objective: Identify Polynomials and Their Degrees and Write in Standard Form

• Polynomials intro (10:47)
• The parts of polynomial expressions (2:35)

Objective: Add and Subtract Polynomials

• Simplifying polynomials (3:36)
• Adding polynomials (2:00)
• Adding polynomials: two variables (intro) (2:29)
• Subtracting polynomials: two variables (intro) (2:09)
• Subtracting polynomials: two variables (3:43)
• Subtracting polynomials (2:06)
• Polynomial subtraction (2:49)
• Polynomials review (15:59)

Objective: Multiply Polynomials

• Multiplying monomials (3:15)
• Area model for multiplying polynomials with negative terms (5:16)
• Multiplying monomials by polynomials (2:42)
• Multiplying binomials by polynomials: area model (6:29)
• Multiplying binomials by polynomials (2:33)
• Polynomial special products: difference of squares (4:05)
• Polynomial special products: perfect square (5:09)

Section 3.1: Quadratic Functions

Objective: Determine the Vertices of Quadratic Functions

• Parabolas intro (8:13)
• Vertex form introduction (6:12)

Objective: Graph Quadratic Functions and Determine the Axis of Symmetry, Domain, and Range of the Function

• Graphing quadratics: vertex form (3:15)
• Finding the vertex of a parabola in standard form (5:39)
• Graphing quadratics: standard form (4:40)
• Forms & features of quadratic functions (8:28)
• Vertex & axis of symmetry of a parabola (7:22)
• Finding features of quadratic functions (8:22)
• Comparing maximum points of quadratic functions (3:58)

Section 3.2: Polynomial Functions and Their Graphs

Objective: Determine End Behavior

• Intro to end behavior of polynomials (8:09)
• End behavior of functions & their graphs (2:22)

Objective: Identify Characterics of Graphs of Polynomial Functions and Graph the Functions

• Zeros of polynomials introduction (5:08)
• Zeros of polynomials: plotting zeros (3:18)
• Zeros of polynomials: matching equation to zeros (3:50)
• Zeros of polynomials: matching equation to graph (3:00)
• Zeros of polynomials (with factoring): grouping (4:54)
• Zeros of polynomials (with factoring): common factor (3:31)
• Multiplicity of zeros of polynomials (6:35)
• Zeros of polynomials (multiplicity) (4:59)
• Positive and negative intervals of polynomials (8:39)

Section 3.7: Modeling Using Variation

Objective: Solve Direct Variation Problems

• Intro to direct & inverse variation (9:53)
• Recognizing direct & inverse variation (7:04)
• Proportionality constant for direct variation (1:43)

Chapter 4: Exponential and Logarithmic Functions

Section 4.1: Exponential Functions

Objective: Evaluate Exponential Expressions

• Intro to exponential functions (7:40)
• Exponential vs. linear growth (3:04)
• Exponential vs. linear models: verbal (3:27)
• Exponential vs. linear models: table (3:26)

Objective: Graph Exponential Functions

• Exponential function graph (5:31)
• Graphs of exponential growth (4:21)
• Exponential decay intro (8:11)
• Graphing exponential growth & decay (4:05)
• Transforming exponential graphs (3:04)
• Transforming exponential graphs (example 2) (5:17)
• Graphing exponential functions (3:14)
• Graphs of exponential functions (old example) (7:21)

Objective: Use Compound Interest Formulas

• Exponential expressions word problems (numerical) (4:56)

Section 4.2: Logarithmic Functions

Objective: Change Between Logarithmic and Exponential Form

• Intro to logarithms (7:01)
• Relationship between exponentials & logarithms (1:41)

Objective: Evaluate Logarithmic Expressions Using Basic Logarithmic Properties

• Evaluating logarithms (advanced) (4:19)

Objective: Graph Logarithmic Functions

• Graphical relationship between 2ˣ and log₂(x) (5:41)
• Shape of a logarithmic parent graph (9:09)
• Graphs of logarithmic functions (6:27)
• Graphing logarithmic functions (example 2) (3:45)

Section 4.3: Properties of Logarithms

Objective: Properties of Logarithms

• Intro to logarithm properties (1 of 2) (9:15)
• Intro to logarithm properties (2 of 2) (10:04)
• Using the logarithmic product rule (5:03)
• Using the logarithmic power rule (4:48)
• Using the properties of logarithms: multiple steps (2:09)
• Evaluating logarithms: change of base rule (7:32)
• Using the logarithm change of base rule (6:42)

Section 4.4: Exponential and Logarithmic Equations

Objective: Solve exponential and logarithmic equations

• Solving exponential equations using exponent properties (4:56)
• Solving exponential equations using exponent properties (advanced) (7:01)
• Solving exponential equations using logarithms: base-10 (2:50)
• Solving exponential equations using logarithms: base-2 (5:11)
• Logarithmic equations: variable in the argument (4:12)
• Logarithmic equations: variable in the base (3:27)

Section 4.5: Exponential Growth and Decay; Modeling Data

Objective: Model exponential growth and decay

• Exponential model word problem: medication dissolve (4:04)
• Exponential model word problem: bacteria growth (1:33)

Chapter 5: Systems of Equations and Inequalities

Section 5.1: Systems of Linear Equations in Two Variables & Section 5.2: Systems of Linear Equations in Three Variables

Objective: Background

• Systems of equations: trolls, tolls (1 of 2) (6:50)
• Systems of equations: trolls, tolls (2 of 2) (5:40)
• Testing a solution to a system of equations (2:37)

Objective: Solve systems of linear equations

• Systems of equations with substitution: potato chips (5:20)
• Systems of equations with substitution: -3x-4y=-2 & y=2x-5 (4:20)
• Systems of equations with elimination: King's cupcakes (8:59)
• Why can we subtract one equation from the other in a system of equations? (8:12)
• Elimination strategies (7:15)
• Systems of equations with elimination: x-4y=-18 & -x+3y=11 (5:58)
• Systems of equations with elimination: potato chips (9:20)
• Systems of equations with elimination (and manipulation) (12:00)
• Worked example: equivalent systems of equations (5:30)
• Systems of equations number of solutions: fruit prices (1 of 2) (9:24)
• Systems of equations number of solutions: fruit prices (2 of 2) (7:07)
• Solutions to systems of equations: consistent vs. inconsistent (5:28)
• Solutions to systems of equations: dependent vs. independent (5:09)
• Number of solutions to a system of equations algebraically (6:00)
• Intro to linear systems with 3 variables (8:22)
• Solving linear systems with 3 variables (7:00)
• Solving linear systems with 3 variables: no solution (5:05)
• 3-variable linear system word problem (8:15)

Section 5.5: Systems of Inequalities

Objective: Background

• Testing solutions to inequalities (6:05)
• Testing solutions to systems of inequalities (1:14)

Objective: Graph systems of inequalities

• Intro to graphing two-variable inequalities (8:03)
• Graphing two-variable inequalities (3:02)
• Intro to graphing systems of inequalities (5:35)
• Quadratic systems: graphical solution (5:44)

Chapter 8: Sequences, Induction, and Probability

Section 8.1: Sequences and Summation Notation

Note: There are not many videos for this section, so I recommend supplementing the videos in this section with the optional videos in MyMathLab and/or the videos for section 8.2 below.

Objective: Find particular terms of a sequence and use recursion formulas

• Sequences intro (8:17)

Objective: Use summation notation

• Summation notation (4:26)
• Worked examples: Summation notation (5:20)

Section 8.2: Arithmetic Sequences

Objective: Write terms of an arithmetic sequence and use the formula for the general term of an arithmetic sequence

• Intro to arithmetic sequences (7:06)
• Extending arithmetic sequences (1:06)
• Using arithmetic sequences formulas (3:37)
• Worked example: using recursive formula for arithmetic sequence (2:52)
• Recursive formulas for arithmetic sequences (3:05)
• Explicit formulas for arithmetic sequences (6:16)
• Arithmetic sequence problem (5:56)
• Converting recursive & explicit forms of arithmetic sequences (6:07)

Objective: Use the formula for the sum of the first n terms of an arithmetic sequence

• Arithmetic series intro (3:55)
• Arithmetic series formula (7:45)
• Worked example: arithmetic series (sigma notation) (7:01)
• Worked example: arithmetic series (sum expression) (6:46)
• Worked example: arithmetic series (recursive formula) (5:20)

Section 8.3: Geometric Sequences and Series

Objective: Write terms of a geometric sequence and use the formula for the general term of a geometric sequence

• Intro to geometric sequences (10:44)
• Intro to geometric sequences (advanced) (6:38)
• Extending geometric sequences (2:13)
• Using explicit formulas of geometric sequences (1:36)
• Using recursive formulas of geometric sequences (3:45)
• Explicit & recursive formulas for geometric sequences (5:37)
• Converting recursive & explicit forms of geometric sequences (6:29)

Objective: Use the formula for the sum of the first n terms of a geometric sequence

• Geometric series introduction (6:16)
• Geometric series intro (2:52)
• Finite geometric series formula (7:14)
• Worked examples: finite geometric series (6:54)
• Geometric series with sigma notation (4:27)
• Worked example: finite geometric series (sigma notation) (2:47)

Upcoming Homework Due

• Due Sunday, July 5th at 11:59pm: Sections 4.1 - 4.2
• Due Sunday, July 12th at 11:59pm: Sections 4.3 - 4.5, 5.1 - 5.2, 5.5
• Due Sunday, July 19th at 11:59pm: Sections 8.1 - 8.3

Upcoming Quizzes

• Due Sunday, July 5th at 11:59pm: Sections 4.1 - 4.2
• Due Sunday, July 12th at 11:59pm: Sections 4.3 - 4.5, 5.1 - 5.2, 5.5
• Due Sunday, July 19th at 11:59pm: Sections 8.1 - 8.3

Past & Upcoming Exam Reviews

Click here to access the Webex room where Exam Reviews will be held.

• Thursday, June 11th at 6:00pm - Exam #1 Review
  • Recorded Video of Exam #1 Review
  • PDF Notes from Exam #1 Review
• Monday, June 29th at 6:00pm - Exam #2 Review
• Recorded Video of Exam #2 Review
• PDF Notes from Exam #2 Review
• Thursday, July 16th at 6:00pm - Exam #3 Review
• Unfortunately, the program I used to record the review session crashed as I was saving the recording of the Exam #3 review, so there is no recording of the review.
• PDF Notes from Exam #3 Review
• Tuesday, July 21st and Wednesday, July 22nd at 6:00pm - Final Exam Review
• Recorded Video of Final Exam Review from 07/21/2020
• PDF Notes from Final Exam Review from 07/21/20220
• Recorded Video of Final Exam Review from 07/22/2020
• PDF Notes from Final Exam Review from 07/22/20220

Past & Upcoming Exams

• Due Monday, 6/15 by 11:59pm - Exam #1: Sections 1.1 - 1.7
  • Click here to read Exam #1 information sent by email on 6/10
  • Click here to download Exam #1
  • Click here to read Exam #1 information sent by email on 6/11 with Exam #1
  • Click here to download the Exam #1 Answer Key
• Due Tuesday, 6/30 by 11:59pm - Exam #2: Sections 2.1 - 2.7, 3.1 - 3.2, 3.7
• Click here to download Exam #2
• Click here to read Exam #2 information sent by email on 6/27 with Exam #2
• Click here to download the Exam #2 Answer Key
• Due Monday, 7/20 by 11:59pm - Exam #3: Sections 4.1 - 4.5, 5.1 - 5.2, 5.5, 8.1 - 8.3
• Click here to download Exam #3
• Click here to read Exam #3 information sent by email on 7/17 with Exam #3
• Click here to download the Exam #3 Answer Key
• Due Thursday, 7/23 by 11:59pm - Final Exam : All sections
• Click here to download the Final Exam
• Click here to read Final Exam information sent by email on 7/19 with the Final Exam

06/03/2020: The due dates for the homework and optional videos in MyMathLab were incorrect, so I've corrected the due dates. Also, I have updated the syllabus with updated information about the Centers for Academic Success (CAS), including a link to a video on how to access CSN CAS Tutors/Learning Assistants in Smarthinking.

06/01/2020: In my welcome video, I forgot to mention that the homework for each section can be taken as many times you'd like to improve your grade, but quizzes can only be taken up to three times to improve your grade. I've updated the syllabus to reflect this information.