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MATH 1250: Basic Mathematics for Science & Engineering – Syllabus and Learning Outcomes

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Rational Exponents

  • Guided course
    Rational Exponents
    04:06

Radical Expressions

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    Square Roots
    05:49
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    Nth Roots
    06:56

Rationalize Denominator

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    Rationalizing Denominators
    2:58
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    Rationalizing Denominators Using Conjugates
    03:42

Factoring Polynomials

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    Factor by Grouping
    04:36
  • Guided course
    Introduction to Factoring Polynomials
    07:30
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    Factor Using Special Product Formulas
    6:29

Linear Equations

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    Solving Linear Equations with Fractions
    04:02
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    Introduction to Solving Linear Equations
    07:48
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    Categorizing Linear Equations
    06:00

Intro to Quadratic Equations

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    Introduction to Quadratic Equations
    05:35
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    Solving Quadratic Equations by Factoring
    06:08

Linear Inequalities

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    Interval Notation
    05:18
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    Linear Inequalities with Fractions & Variables on Both Sides
    03:42
  • Linear Inequalities
    06:07

Lines

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    Standard Form of Line Equations
    05:39
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    Types of Slope
    5:17
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    Point-Slope Form
    05:46

Intro to Functions & Their Graphs

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    Finding the Domain and Range of a Graph
    5:10
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    Verifying if Equations are Functions
    5:38
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    Relations and Functions
    5:20

Function Operations

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    Multiplying & Dividing Functions
    7:24
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    Adding & Subtracting Functions Example 1
    4:46
  • Guided course
    Adding & Subtracting Functions
    5:56

Function Composition

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    Decomposition of Functions
    4:07
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    Function Composition
    4:56
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    Domain Restrictions of Composed Functions
    3:51

Quadratic Functions

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    Properties of Parabolas
    07:42
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    Vertex Form
    08:07
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    Example 1
    07:11

Graphing Polynomial Functions

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    Graphing Polynomial Functions
    05:25
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    Identifying Intervals of Unknown Behavior
    05:01
  • Guided course
    Example 1
    09:43

Introduction to Rational Functions

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    Intro to Rational Functions
    6:04

Graphing Rational Functions

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    Example 1
    10:18
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    How to Graph Rational Functions
    8:19
  • Guided course
    Example 1
    3:08

Introduction to Exponential Functions

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    Exponential Functions
    6:13

Introduction to Logarithms

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    Logarithms Introduction
    7:30
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    The Natural Log
    2:51
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    Evaluate Logarithms
    05:15

Properties of Logarithms

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    Product, Quotient, and Power Rules of Logs
    3:49
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    Expand & Condense Log Expressions
    4:22
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    Change of Base Property
    5:36

Solving Exponential and Logarithmic Equations

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    Solving Exponential Equations Using Logs
    5:47
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    Solving Exponential Equations Using Like Bases
    4:46
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    Solving Logarithmic Equations
    5:02

Angles in Standard Position

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    Drawing Angles in Standard Position
    5:50
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    Example 1
    3:59

Trigonometric Functions on Right Triangles

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    Introduction to Inverse Trig Functions
    4:28
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    Fundamental Trigonometric Identities
    5:32
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    Introduction to Trigonometric Functions
    6:04

Defining the Unit Circle

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    Introduction to the Unit Circle
    06:11

Trigonometric Functions on the Unit Circle

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    Sine, Cosine, & Tangent on the Unit Circle
    6:34

Graphs of the Sine and Cosine Functions

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    Amplitude and Reflection of Sine and Cosine
    5:05
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    Example 1
    2:18
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    Graph of Sine and Cosine Function
    5:53

Graphs of Tangent and Cotangent Functions

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    Introduction to Cotangent Graph
    5:37
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    Example 1
    3:40
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    Introduction to Tangent Graph
    5:43

Inverse Sine, Cosine, & Tangent

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    Inverse Tangent
    3:17
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    Example 1
    1:08
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    Example 3
    1:25

Introduction to Trigonometric Identities

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    Simplifying Trig Expressions
    6:36
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    Example 1
    2:20
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    Example 4
    5:18

Solving Trigonometric Equations Using Identities

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    Solve Trig Equations Using Identity Substitutions
    4:42