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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

Summarizing Questions

4 videos · 8m 42s

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

Derivatives of Exponential and Inverse Trigonometric Functions

19 videos · 1h 48m 45s

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

Summarizing Questions

3 videos · 12m 40s

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

20 videos · 1h 43m 53s

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

Introduction to 2D and 3D Vectors

2 videos · 33m 54s

Vector Arithmetic

5 videos · 39m 49s

Vectors Dot Product

8 videos · 1h 11m 51s

Vectors Cross Product

6 videos · 55m 58s

The 3D Coordinates System

5 videos · 33m 40s

Equations of Lines

8 videos · 57m 36s

Equations of Planes

11 videos · 1h 33m 36s

Quadric Surfaces

6 videos · 33m 15s

The Vector Space Rn

10 videos · 55m 32s

Linear Combination, Dependence and Span

13 videos · 1h 17m 25s

Linear Dependence in R^n

5 videos · 25m 26s

Basis for Rn

5 videos · 31m 40s

Solution Space of Homogenous SLE

6 videos · 54m 33s

Subspaces

6 videos · 36m 15s

Row and Column Spaces

3 videos · 14m 52s

Change of Basis

6 videos · 27m 34s

Vector Spaces

27 videos · 1h 27m 27s

Linear Combinations and Span

1 video · 20m 16s

Linear Dependence

12 videos · 1h 30s

Basis for Known Vector Spaces

3 videos · 28m 43s

Basis for a Solution Space, Homogeneous SLE

3 videos · 11m 18s

Basis of a Subspace of a Known Vector Space

2 videos · 5m 1s

Coordinate Vectors and Change of Basis

7 videos · 40m 46s

Introduction

1 video · 23m 8s

Separable Equations

14 videos · 46m 20s

Homogeneous Equations

11 videos · 1h 39s

Homogeneous after Substitution

6 videos · 34m 23s

Exact Equations

8 videos · 47m 21s

Integration Factor

17 videos · 1h 56m 45s

Linear Equations

9 videos · 33m 27s

Bernoulli Equations

6 videos · 28m 39s

Ricatti Equations

5 videos · 40m 23s

Existence and Uniqueness

11 videos · 1h 15m 47s

Missing X or Y, Reduction of Order

9 videos · 39m 39s

Linear, Homogeneous, Constant Coefficients

10 videos · 20m 10s

Linear, Nonhomogeneous, Constant Coefficients - Method of Undetermined Coefficients

15 videos · 1h 30m 47s

Linear, Nonhomogeneous, Constant Coefficients - Method of Variation of Parameters

11 videos · 1h 16m 18s

Eulers Equation

2 videos · 18m 23s

Linear, Homogeneous, Non-Constant Coefficients - 2nd Solution Method

5 videos · 41m 33s

The Wronskian and its Uses

10 videos · 57m 53s

Sturm-Liouville Problems

11 videos · 1h 51m 59s

Energy Conservation and the Work Energy Theorem Part a

5 videos · 31m 15s

Energy Conservation and the Work Energy Theorem Part b

3 videos · 14m 29s

Work Done by a Constant Force

3 videos · 7m 27s

Explanation about the Integral of Work

2 videos · 9m 10s

How to Calculate the Integral of a Non Constant Force

1 video · 1m 20s

Deriving Work and Energy Equations

3 videos · 21m 18s

Calculating Conservative Forces from Potential Energy

2 videos · 6m 45s

How to Check if a Force is Conservative

2 videos · 5m 7s

10. Calculating Potential Energy from Conservative Forces

2 videos · 10m 11s

What is Momentum and Newtons Second Law

2 videos · 5m 57s

Introduction to Impulse

9 videos · 29m 44s

Conserving Momentum and External Forces

5 videos · 27m 42s

Types of Collisions

8 videos · 38m 13s

Conservation of Momentum During Short Timed Collisions

1 video · 8m 41s

Momentum Conclusion

1 video · 8m 24s

Advanced Exercises

5 videos · 1h 20m 38s

1. Basic Equations for Circular Motion

7 videos · 10m 11s

2. Basic Example for Circular Motion

1 video · 4m 59s

3. Centrifugal Force

2 videos · 5m 22s

4. Exercise Mass on a Rotating Table

1 video · 8m

5. Position, Velocity and Acceleration Vectors

9 videos · 30m 21s

End of Chapter Questions

7 videos · 1h 22m 59s

End of Chapter Questions (Advanced)

1 video · 22m 57s

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

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Hey there MATH1005 student!

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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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