الرياضيات للكليات العلمية لسنة التأسيسية لجامعة السلطان قابوس _طيب الله ثراه _
عن الدورة
الرياضيات للكليات العلمية لسنة التأسيسية لجامعة السلطان قابوس _طيب الله ثراه _
مرتبط
محتوى الدورة
chapter 1 : Fundamentals
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Real Numbers
24:46 -
Properties of Real Numbers
10:00 -
Addition and Subtraction
09:53 -
Multiplication and Division
11:39 -
The Real Line
07:53 -
Sets and Intervals
12:39 -
Absolute Value and Distance
16:42
chapter 1 : Exponents and Radicals
-
Rules for Working with Exponents& Integer Exponents
13:46 -
Scientific Notation
14:28 -
Radicals
13:14 -
Rational Exponents
07:07 -
Rationalizing the Denominator
10:04
chapter 1: Algebraic Expressions
-
Adding and Subtracting Polynomials
17:53 -
■ Multiplying Algebraic Expressions
00:00 -
Special Product Formulas
11:19 -
Factoring Common Factors
04:00 -
Factoring Trinomials
12:16 -
Special Factoring Formulas
00:00 -
Factoring by Grouping Terms
12:01
chapter 1 :Rational Expressions
-
The Domain of an Algebraic Expression
07:13 -
Simplifying Rational Expressions
11:08 -
Multiplying and Dividing Rational Expressions
12:05 -
Adding and Subtracting Rational Expressions
13:14 -
Compound Fractions
20:12 -
Rationalizing the Denominator or the Numerator
10:04
chapter 1 :Equations
-
Solving Linear Equations
19:38 -
Solving Quadratic Equations
12:29 -
Equation Involving Fractional Expressions
11:03 -
Equation Involving a Radical
10:59
chapter1 : Complex Numbers
-
Arithmetic Operations on Complex Numbers
01:23:36 -
Square Roots of Negative Numbers
03:40 -
Complex Solutions of Quadratic Equations
24:06
chapter 1 :Modeling with Equations
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Making and Using Models &Problems About Interest
11:02 -
Problems About Area or Length
04:59 -
Problems About Mixtures
02:38:49 -
Problems About the Time Needed to Do a Job
10:55 -
Problems About Distance, Rate, and Time
45:42
chapter 1 : Inequalities
-
Inequalities
05:31 -
Solving Linear Inequalities
06:24 -
Quadratic Inequality
12:12 -
Solving Nonlinear Inequalities
42:29 -
Absolute Value Inequalities
03:56 -
Modeling with Inequalities
16:10
chapter 1 : Lines
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The Slope of a Line
10:11 -
Point-Slope Form of the Equation of a Line
12:53 -
Slope-Intercept Form of the Equation of a Line
08:59 -
Vertical and Horizontal Lines
02:58 -
Parallel and Perpendicular Lines
04:47
chapter 1:Solving Equations and Inequalities Graphically
-
Solving Equations Graphically
05:15 -
Solving Inequalities Graphically
05:36
chapter 1 : Modeling Variation
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Direct Variation
00:00 -
Inverse Variation
18:29 -
Combining Different Types of Variation
12:23
chapter 2 :Functions
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Functions All Around Us & Definition of Function
11:34 -
Evaluating a Function
11:49 -
The Domain of a Function
11:42 -
Four Ways to Represent a Function
13:04
chapter 2 :Graphs of Functions
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Graphing Functions by Plotting Points
10:13 -
Graphing Functions with a Graphing Calculator
11:48 -
Graphing Piecewise Defined Functions
11:59 -
The Vertical Line Test: Which Graphs Represent Functions?
05:27
chapter 2 : Getting Information from the Graph of a Function
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Values of a Function; Domain and Range
13:24 -
Comparing Function Values: Solving Equations and Inequalities Graphically
05:15 -
Increasing and Decreasing Functions
11:08 -
Local Maximum and Minimum Values of a Function
14:18
chapter 2 : Linear Functions and Models
-
Linear Functions
12:36 -
Slope and Rate of Change
13:42
chapter 2 :Transformations of Functions
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Vertical Shifting
03:34 -
Horizontal Shifting
04:46 -
Reflecting Graphs
05:20 -
Vertical Stretching and Shrinking
09:33 -
Even and Odd Functions
17:47
chapter 2 : Combining Functions
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Sums, Differences, Products, and Quotients
04:51 -
Composition of Functions
05:23 -
Applications of Composition
05:22
chapter 3 : Quadratic Functions and Models
-
Graphing Quadratic Functions Using the Standard Form
04:41 -
Maximum and Minimum Values of Quadratic Functions
05:58 -
Modeling with Quadratic Functions
12:05
chapter 3 : Polynomial Functions and Their Graphs
-
Polynomial Functions
05:02 -
Graphs of Polynomial Functions: End Behavior
20:28 -
Using Zeros to Graph Polynomials
05:25 -
Shape of the Graph Near a Zero
03:06 -
Local Maxima and Minima of Polynomials
12:29
chapter 3 : Dividing Polynomials
-
Long Division of Polynomials
12:12 -
Synthetic Division
10:32 -
The Remainder and Factor Theorems
10:34
chapter 3 : Real Zeros of Polynomials
-
Rational Zeros of Polynomials
14:43 -
Descartes’ Rule of Signs
17:56 -
Using Algebra and Graphing Devices to Solve Polynomial Equations
14:19
chapter 3 : Polynomial and Rational Inequalities
-
Polynomial Inequalities
12:56 -
Rational Inequalities
10:18
chapter 4 :Exponential Functions
-
Exponential Functions
03:22 -
Graphs of Exponential Functions
10:49 -
Compound Interest
01:58
chapter 4 : The Natural Exponential Function
-
The Number e
12:11 -
The Natural Exponential Function
09:24 -
Continuously Compounded Interest
01:07
chapter 4 : Logarithmic Functions
-
Logarithmic Functions
20:27 -
Graphs of Logarithmic Functions
12:03 -
Common Logarithms
06:36 -
Natural Logarithms
02:49
chapter 4 : Laws of Logarithms
-
Laws of Logarithms
09:33 -
Expanding and Combining Logarithmic Expressions
04:29 -
Change of Base Formula
02:39
chapter 4: Exponential and Logarithmic Equations
-
Exponential Equations
05:12 -
Graphing Exponential Equations
15:42 -
Logarithmic Equations
25:27 -
Graphing Logarithmic Equations
19:00 -
Compound Interest
10:52
chapter 4 : Modeling with Exponential and Logarithmic Functions
-
Exponential Growth (Doubling Time)
09:12 -
Exponential Growth (Relative Growth Rate)
04:12 -
Radioactive Decay
09:29 -
Newton’s Law of Cooling
05:19 -
Logarithmic Scales
11:15
chapter 5 : The Unit Circle
-
The Unit Circle
03:28 -
Terminal Points on the Unit Circle
05:05 -
The Reference Number
04:30
chapter 5 : Trigonometric Functions of Real Numbers
-
The Trigonometric Functions
06:54 -
Values of the Trigonometric Functions
11:10 -
Fundamental Identities
05:25
chapter 5 : Trigonometric Graphs
-
Graphs of Sine and Cosine
29:59 -
Graphs of Transformations of Sine and Cosine
08:02 -
Using Graphing Devices to Graph Trigonometric Functions
14:07
chapter 5 : Inverse Trigonometric Functions and Their Graphs
-
The Inverse Sine Function
09:59 -
The Inverse Cosine Function
05:56 -
The Inverse Tangent Function
04:26 -
The Inverse Sine Function ■ The Inverse Cosine Function ■ The Inverse Tangent Function
22:47
chapter 6 : Angle Measure
-
Angle Measure
10:20 -
Angles in Standard Position
02:52 -
Length of a Circular Arc
03:51 -
Circular Motion
15:13
chapter 6 : Trigonometry of Right Triangles
-
مسودة الدرس
21:52 -
Special Triangles; Calculators
29:56 -
Applications of Trigonometry of Right Triangles
05:08
chapter 6 ; Trigonometric Functions of Angles
-
Trigonometric Functions of Angles
59:18 -
Evaluating Trigonometric Functions at Any Angle
06:13 -
Trigonometric Identities
11:20 -
Areas of Triangles
06:37
chapter 6 : Inverse Trigonometric Functions and Right Triangles
-
The Inverse Sine, Inverse Cosine, and Inverse Tangent Functions
22:47 -
Solving for Angles in Right Triangles
10:17 -
Evaluating Expressions Involving Inverse Trigonometric Functions
03:21
chapter 6 : The Law of Sines
-
The Law of Sines
21:12 -
The Ambiguous Case
07:39
chapter 6 : The Law of Cosines
-
The Law of Cosines
10:18 -
Navigation: Heading and Bearing
08:52 -
The Area of a Triangle
13:39
chapter 7 : Trigonometric Identities
-
Trigonometric Identities
11:20 -
Simplifying Trigonometric Expressions
12:15 -
Proving Trigonometric Identities
25:08 -
Evaluating Expressions Involving Inverse Trigonometric Functions
10:42 -
Expressions of the Form A sin x B cos x
09:01
chapter 7 : Proving Trigonometric Identities
-
Double-Angle Formulas
04:01 -
Half-Angle Formulas
04:01 -
Evaluating Expressions Involving Inverse Trigonometric Functions
04:25 -
Product-Sum Formulas
13:25
chapter 7 : Basic Trigonometric Equations
-
Basic Trigonometric Equations
26:09 -
Solving Trigonometric Equations by Factoring
18:32
chapter 7 : More Trigonometric Equations
-
Solving Trigonometric Equations by Using Identities
12:49 -
Equations with Trigonometric Functions of Multiples of Angles
02:54
chapter 8 :polar coordinates and parametric equation
-
polar coordinates
22:29 -
graphs of polar equations
10:46 -
polar form of a complex number
10:52 -
plane curves and parametric equations
33:29
chapter 9 : vectors in two and three dimensions
-
vectors in two dimensions
52:18 -
the dot product
35:10 -
three dimensional coordinate geometry
06:41 -
vector in three dimensions
07:27 -
the cross product
13:47 -
equations of lines and planes
03:01:52
chapter 10 : systems of equations and inequalities
-
systems of linear equations in two variables
03:30 -
systems of linear equations in two sevelar variables
12:44 -
matrices and systems of linear equations
04:04 -
the algebra of matrices
11:23 -
inverses of matrices and matrix equations
07:30 -
determinant and cramer’s rule
00:00 -
partial fractions
07:19 -
system of nonlinear equations
13:26 -
system of inequalities
10:27
chapter 11 :Conic Sections
-
Parabolas
03:11 -
Ellipses
31:39 -
Hyperbolas
34:50 -
Shifted Conics
09:26 -
Rotation of Axes
11:07 -
Polar Equations of Conics
42:10
chapter 12 : sequences and series
-
sequences and summation notation
11:12 -
Arithmetic Sequences
44:04 -
Geometric Sequences
31:20 -
Simple Interest
04:58 -
Compound Interest
22:06 -
Mathematical Induction
18:08 -
The Binomial Theorem
18:08
chapter 13 Limits: A Preview of Calculus
-
Finding Limits Numerically and Graphically
11:41 -
Finding Limits Algebraically
07:41 -
tangent lines and derivatives
11:39 -
Limits at Infinity; Limits of Sequences
08:27 -
Areas
22:10
