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The Concept of a Function

7 videos · 51m 46s

Common Functions

6 videos · 35m 17s

The Domain of Definition of a Function

1 video · 4m 56s

The Domain of Basic Functions

8 videos · 10m 54s

The Domain of Logarithmic and Exponential Functions

5 videos · 18m 45s

The Domain of Trigonometric Functions

5 videos · 6m 4s

The Domain of Absolute Value Functions

2 videos · 3m 36s

The Domain of a Piecewise Function

1 video · 4m 33s

Translation (Shifting) and Reflection of Functions

16 videos · 1h 43s

The Composition of Functions

13 videos · 35m 48s

Even and Odd Functions

16 videos · 37m 24s

One-to-One Functions

10 videos · 30m 12s

The Inverse of a Function

13 videos · 1h 24m 12s

Piecewise-Defined Functions

7 videos · 46m 5s

The Absolute Value Function

4 videos · 13m 57s

Introduction

1 video · 10m 15s

Technique 1 Substitution

5 videos · 11m 56s

Technique 2 Factoring

5 videos · 22m 43s

Technique 3 Multiplying by the Conjugate

8 videos · 48m 59s

Technique 4 Function Tends to Infinity

12 videos · 29m 4s

Technique 5 X Tends to Infinity

25 videos · 1h 43m 50s

Technique 6 Eulers Limit

10 videos · 54m 36s

Technique 7 Trigonometric Limits

12 videos · 59m 39s

Technique 8 The Sandwich Squeeze Theorem

11 videos · 51m 20s

Technique 9 Piecewise Functions

6 videos · 21m 37s

Limit from Definition

26 videos · 2h 25m 5s

Infinite Geometric Series

19 videos · 2h 15m 43s

Sequences

6 videos · 45m 45s

The Harmonic Series and The P-Series

2 videos · 16m 56s

Algebraic Properties of Series

1 video · 8m 47s

The Divergence Test

1 video · 9m 44s

The Integral Test

6 videos · 1h 40s

The Alternating Series Test

3 videos · 20m 19s

The Limit Comparison Test

18 videos · 2h 23m 53s

The Ratio Test

9 videos · 1h 11m 22s

Absolute and Conditional Convergence of Series

12 videos · 1h 9m 55s

Basic Derivatives of Functions

11 videos · 1h 54m 48s

Derivative of Exponents and Logarithmic Functions

7 videos · 53m 36s

Trigonometric Derivatives

3 videos · 36m 58s

Derivative of Power Functions

4 videos · 1h 29m 38s

Implicit Differentiation

5 videos · 1h 31m 12s

Calculations Using The Definition of Derivative

6 videos · 49m 55s

The Derivative of an Inverse of a Function

6 videos · 11m 35s

Logarithmic Differentiation

3 videos · 18m 52s

Tangent and Normal Lines - Basic Exercises

16 videos · 1h 44m 11s

Tangent and Normal Lines – Exercises with a Constant

11 videos · 1h 29m 47s

Tangent and Normal Lines of Implicit Functions

4 videos · 27m 8s

Tangent and Normal lines - Parametric Functions

3 videos · 17m 20s

The Angle Between Two Curves

4 videos · 25m 47s

Vertical Tangents and Cusps

8 videos · 44m 29s

Linear Approximation

7 videos · 31m 10s

Extrema, Increase, Decrease

33 videos · 3h 56m 17s

Inflection, Convex, Concave

31 videos · 3h 51m 45s

Vertical Asymptotes

35 videos · 1h 7m 36s

Horizontal Asymptotes

38 videos · 1h 3m 18s

Oblique Asymptotes

37 videos · 2h 18m 18s

Curve Plotting

10 videos · 1h 7m 35s

Global Extrema

14 videos · 1h 54m 48s

Introduction to Taylor and Maclaurin Series

7 videos · 1h 14m 51s

Basic Exercises with Maclaurin Series

9 videos · 54m 9s

Expansions about General Point

4 videos · 22m 47s

Finding Nonzero Terms in Expansions

4 videos · 37m 11s

Sum of Series Using Taylor and Maclaurin Expansions

7 videos · 21m 53s

Finding Limits Using Expansions

4 videos · 27m 8s

Computations with Taylor Series

15 videos · 1h 6m 55s

Introduction to Definite Integrals

13 videos · 52m 1s

Inequalities

9 videos · 33m 4s

Riemann Sum and Integrability

22 videos · 1h 56m 37s

Fundamental Theorm of Calculus

19 videos · 1h 40m 14s

Riemann Integration and Integrability

19 videos · 2h 24m 42s

Further Exercises - Criterion for Integrability

17 videos · 1h 39m 51s

Advanced exercises - Riemann Sum and FTC

28 videos · 1h 24m 6s

Areas

22 videos · 3h 32m

Curve Length

16 videos · 1h 27m 24s

Work

4 videos · 22m 33s

Center of Mass

3 videos · 17m 3s

Hydrostatic Pressure and Force

2 videos · 17m 59s

Probability

4 videos · 28m 6s

Mean Value Theorem for Integrals

2 videos · 8m 51s

Average Function Value

2 videos · 10m 34s

Numerical Integration

4 videos · 50m 30s

Total: 21 videos · 3h 9m

Introduction

2 videos · 9m 8s

Introduction to Moment of Inertia

1 video · 7m 15s

Steiners Theorem

1 video · 6m

Additivity

2 videos · 12m 38s

Iz = Ix plus Iy

1 video · 5m 49s

Z Symmetry

1 video · 5m 1s

Calculating the Moment of Inertia of a Disk About the Z and X Axis

3 videos · 14m 21s

Exercises

9 videos · 1h 33m 13s

Introduction

5 videos · 17m 33s

Categorization of Variables and Measuring Scales

6 videos · 32m 13s

Summation

5 videos · 20m 43s

Measure of Central Tendency

15 videos · 1h 28m 30s

Measures of Dispersion - Range, Variance, and Standard Deviation

10 videos · 55m 22s

Measures of Dispersion - Interquartile Range

4 videos · 21m 7s

Data Presentation

14 videos · 1h 3m 39s

BoxPlots

3 videos · 15m 39s

Weighted Average and Combined Variance

4 videos · 21m 6s

Coefficient of Variation

5 videos · 10m 36s

Analysis of Printout

2 videos · 7m 24s

Transformations of Measuring Scales

5 videos · 19m 13s

Measures of Relative Location - Standard Score

5 videos · 19m 23s

Measures of Relative Location - Percentiles in Categories

11 videos · 51m 2s

Percentiles in a Discrete Frequencies Table

4 videos · 13m 37s

Linear Transformations

8 videos · 39m 41s

The Probability Function

9 videos · 49m 25s

Expectation, Variance, and Standard Deviation

32 videos · 3h 18m 1s

General Probabilities without Integrals

15 videos · 1h 34m 10s

Normal Probability

30 videos · 3h 36m 12s

The Multiplication Principle

13 videos · 49m 3s

Permutations - Objects Ordered in a Row

10 videos · 31m 23s

Permutations with Identical Objects

8 videos · 14m 47s

Permutations with and without Returns

7 videos · 31m 33s

Non-Sequential Sampling without Returns

13 videos · 1h 2m 42s

Non-Sequential Sampling with Returns

15 videos · 41m 33s

Summary Questions

28 videos · 2h 28m 21s

Binomial Expansion

17 videos · 2h 25m

Conditional Probability in a Uniform Sample Space

12 videos · 34m 24s

Conditional Probability in a Non-Uniform Space

17 videos · 1h 6m 10s

Tree Diagrams the Bayes Formula and the Complete Probability Formula

30 videos · 1h 37m 42s

Dependent and Independent Events

11 videos · 48m 27s

Summary Questions

18 videos · 1h 25m 10s

The Probability Function

9 videos · 49m 25s

Expectation, Variance, and Standard Deviation

11 videos · 56m 36s

Linear Transformation

12 videos · 1h 3m 25s

Expectation and Variance of a Sum of Random Variables

8 videos · 35m 53s

Special Discrete Probability Distributions - Binomial Probability

14 videos · 1h 35m 12s

Special Discrete Probability Distributions - Geometric Probability

12 videos · 1h 26m 46s

Special Discrete Probability Distributions - Uniform Probability

7 videos · 46m 13s

Special Discrete Probability Distributions - Hypergeometric Probability

8 videos · 44m 23s

Special Discrete Probability Distributions - Negative Binomial Distribution

8 videos · 45m 54s

Poisson Approximation of the Binomial Probability Distribution

6 videos · 21m 18s

The Discrete Random Variable - Summary Questions

15 videos · 2h 3m 31s

Special Discrete Probability Distributions - Poisson Probability

13 videos · 1h 32m 19s

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Hey there ENG1084 student!

We have designed this module on Mathematics 1 for those who are studying at University of Surrey and want to consolidate their understanding and learn from experts and professors, at any time, and from anywhere.

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Amos Bahiri earned his undergraduate degree in Mathematics, and then went on to earn two Master’s Degrees (MS) in Mathematics and Computer & Information Science from Ohio State University. In addition to being an outstanding instructor of mathematics, Amos is known for his math jokes.

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