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

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Rational Exponents

  • Percorso guidato
    Rational Exponents
    04:06

Radical Expressions

  • Percorso guidato
    Square Roots
    05:49
  • Percorso guidato
    Nth Roots
    06:56

Rationalize Denominator

  • Percorso guidato
    Rationalizing Denominators
    2:58
  • Percorso guidato
    Rationalizing Denominators Using Conjugates
    03:42

Factoring Polynomials

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

Linear Equations

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

Intro to Quadratic Equations

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

Linear Inequalities

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

Lines

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

Intro to Functions & Their Graphs

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

Function Operations

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

Function Composition

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

Quadratic Functions

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

Graphing Polynomial Functions

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

Introduction to Rational Functions

  • Percorso guidato
    Intro to Rational Functions
    6:04

Graphing Rational Functions

  • Percorso guidato
    Example 1
    10:18
  • Percorso guidato
    How to Graph Rational Functions
    8:19
  • Percorso guidato
    Example 1
    3:08

Introduction to Exponential Functions

  • Percorso guidato
    Exponential Functions
    6:13

Introduction to Logarithms

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

Properties of Logarithms

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

Solving Exponential and Logarithmic Equations

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

Angles in Standard Position

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

Trigonometric Functions on Right Triangles

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

Defining the Unit Circle

  • Percorso guidato
    Introduction to the Unit Circle
    06:11

Trigonometric Functions on the Unit Circle

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

Graphs of the Sine and Cosine Functions

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

Graphs of Tangent and Cotangent Functions

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

Inverse Sine, Cosine, & Tangent

  • Percorso guidato
    Inverse Tangent
    3:17
  • Percorso guidato
    Example 1
    1:08
  • Percorso guidato
    Example 3
    1:25

Introduction to Trigonometric Identities

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

Solving Trigonometric Equations Using Identities

  • Percorso guidato
    Solve Trig Equations Using Identity Substitutions
    4:42