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Introduction

3 videos · 23m 58s

Linear Equations- One Variable

7 videos · 44m 14s

Linear Equations- Zero or Infinite Solutions

3 videos · 9m 34s

Variable in the Denominator

15 videos · 1h 4m 28s

Systems of Two Linear Equations

15 videos · 1h 12m 17s

Linear Systems- Zero or Infinite Solutions

3 videos · 13m 52s

Applications of Linear Equations

12 videos · 51m 10s

Quadratic Equations

13 videos · 54m 5s

Jumbled Quadratics

4 videos · 22m 18s

Quadratics in Disguise

6 videos · 48m 7s

Nonlinear Equations

16 videos · 1h 40m 54s

Equations with Square Roots

8 videos · 1h 10m 2s

Equations with Absolute Value

9 videos · 1h 23m 41s

The Concept of a Function

7 videos · 51m 46s

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

Common Functions

6 videos · 35m 17s

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

6 videos · 33m 7s

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

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

4 videos · 31m 26s

Tangent and Normal Lines - Basic Exercises

21 videos · 2h 31m 26s

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

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

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

The 3D Coordinates System

5 videos · 33m 40s

Equations of Lines

8 videos · 57m 36s

Equations of Planes

11 videos · 1h 33m 36s

Quadratic Surfaces

6 videos · 33m 15s

Functions of Several Variables

11 videos · 55m 27s

Vector Functions in 3D Coordinates System

6 videos · 44m 48s

Vector Calculus in 3D Coordinates System

3 videos · 28m 52s

Tangent, Normal and Binormal Vectors

7 videos · 1h 2m 50s

Arc Length with Vector Functions

5 videos · 35m 57s

Curvatures in 2D and 3D Space

7 videos · 1h 2m 57s

Velocity and Acceleration in Space

6 videos · 1h 10m 44s

Cylindrical and Spherical Coordinate Systems

14 videos · 1h 11m 27s

Integrals of Vector Functions

1 video · 10m 16s

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

Word Problems

18 videos · 1h 14m 59s

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

Change of Variables in a Triple Integral, Area of a Parametric Surface

5 videos · 22m 22s

Continuity and Limits

5 videos · 16m 54s

Differentiability and Rolles Theorem

11 videos · 30m 24s

Existence of Extrema, Intermediate Value Property

17 videos · 52m 5s

FTC, MVT for Integrals, Riemann Sum

28 videos · 1h 24m 6s

Mean Value Theorem, LHopitals Rule

15 videos · 34m 1s

Power Series, Taylor Series

2 videos · 11m 42s

Riemanns Criterion for Integrability

17 videos · 1h 39m 51s

Taylors Theorem

1 video · 2m 59s

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Hey there MTHS1007 student!

We have designed this module on Mathematical Methods for Architectural and Environmental Engineering for those who are studying at University of Nottingham 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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