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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

Quasilinear Two Unknowns

0 videos ·

The Concept of a Function

7 videos · 51m 46s

The Linear Function (Lines) and Circles

20 videos · 2h 12s

The Quadratic Function (Parabola)

19 videos · 2h 29m 33s

Common Functions

5 videos · 50m

Translation and Reflection of Functions

15 videos · 1h 13m 50s

Composed Functions

13 videos · 47m 3s

Even and Odd Functions

15 videos · 56m 32s

One to One Functions

9 videos · 36m 10s

The Inverse Function

13 videos · 1h 27m 28s

Piecewise Defined Functions

6 videos · 39m 37s

The Absolute Value Function

7 videos · 17m 35s

The Domain of Definition of a Function

27 videos · 1h 13m 23s

Exponential Growth and Decay

14 videos · 2h 6m 34s

Applications - Decay and Growth - Version 2

14 videos · 1h 52m 4s

Rules of logarithms

25 videos · 2h 9m 58s

Exponential Equations - Revisited

2 videos · 3m 48s

Logarithmic Equations - Type 1

17 videos · 2h 12m 46s

Logarithmic Equations - Type 2

6 videos · 50m 16s

Logarithmic Equations - Type 3

5 videos · 1h 22m 44s

Logarithmic Equations - Type 4

12 videos · 2h 8m 59s

Trigonometric Functions

11 videos · 59m 4s

Graphs of Trigonometric Functions

12 videos · 1h 13m 30s

Angles

12 videos · 52m 40s

Trig Identities

16 videos · 37m 22s

Advanced Trigonometric Identities

19 videos · 1h 48m 57s

Trigonometric Equations

40 videos · 6h 6m 25s

Inverse Trigonometric Functions

7 videos · 35m 27s

Triangles

14 videos · 1h 32m 42s

Logic and Set Theory

16 videos · 53m 34s

Operations on Sets

17 videos · 51m 36s

Irrational Numbers

9 videos · 33m 43s

Bounded and Unbounded Sets in R

23 videos · 1h 17m 33s

Further properties of bounded sets

18 videos · 1h 6m 16s

Mathematical Induction

15 videos · 1h 8m 36s

Summation and Sigma notation

8 videos · 36m 42s

The Real Number System

10 videos · 34m 19s

Famous Inequalities

10 videos · 36m 6s

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

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 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

Tangent and Normal Lines – Exercises with a Constant

11 videos · 1h 29m 47s

Summarizing Questions

3 videos · 12m 40s

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

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Hey there MT1001 student!

We have designed this module on Introductory Mathematics for those who are studying at University of St Andrews 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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