Engineering Mathematics 1 (EMATH 2.1)

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Course curriculum

1. Worked Example 5 - Products To Sums Or Differences
2. Conversion Of Sums Or Differences of Sines and Cosines To Products
3. Worked Example 4 - Trig Identity Using Double Angles
4. Compound Angles - Double Angles
5. Worked Example 3 - Conversion
6. Worked Example 2 - Conversion
7. Compound Angles - Conversion
8. Worked Example 1 - Compound Angles (Sum and Difference)
9. Compound_Angles_Sum_And_Difference
1. Differentiation Intro
2. Standard Derivatives
3. Standard Derivatives Of Trigonometric Functions
4. Worked Examples (1) - Standard Derivatives
5. Worked Examples (2) - Standard Derivatives
6. Methods Of Differentiation (Power Rule and Product Rule)
7. Methods Of Differentiation 2 (Quotient Rule and Chain Rule)
8. Worked Examples (3) - Product Rule
9. Worked Examples (4) - Product Rule
10. Worked Examples (5) - Quotient Rule
11. Worked Examples (6) - Chain Rule
12. Worked Examples (7) - Chain Rule
13. Worked Examples (8) - Chain Rule
14. Differentiation Of Parametric Functions (Parametric Differentiation)
15. Differentiation Of Implicit Functions (Implicit Differentiation)
16. Worked Examples (9) - Implicit Differentiation
17. Worked Examples (10) - Implicit Differentiation
18. Introduction To Logarithmic Differentiation
19. Worked Examples (11) - Logarithmic Differentiation
20. Worked Examples (12) - Logarithmic Differentiation
21. Worked Examples (13) - Logarithmic Differentiation
22. Differentiation Of Hyperbolic Functions
23. Worked Examples (14) - Hyperbolic Differentiation
24. Worked Examples (14.2) - Hyperbolic Differentiation
25. Intro To Differentiation Of Inverse Trigonometric Functions and Inverse Hyperbolic Functions
26. Differentiation Of Inverse Trigonometric Functions and Inverse Hyperbolic Functions (2)
27. Differentiation Of Inverse Trigonometric Functions and Inverse Hyperbolic Functions (3)
28. Differentiation Of Inverse Trigonometric Functions and Inverse Hyperbolic Functions (4)
29. Differentiation Of Inverse Trigonometric Functions and Inverse Hyperbolic Functions (5)
30. Worked Examples (15) - Inverse Trigonometric Differentiation
31. Worked Examples (16) - Inverse Trigonometric Differentiation
32. Worked Examples (17) - Partial Derivatives
33. Differentiation Of Inverse Hyperbolic Functions
34. Common Logarithms And Napierian Logarithms
35. Further Worked Examples on Logarithms
1. Small Changes
2. Equation Of Tangent
3. Equation Of Normal
4. Turning Points
5. Turning Points Worked Example 1
1. Partial Derivatives
1. Intergration Using Trig Substitution Case 1
2. Intergration Using Trig Substitution Case 2
3. Intergration Using Trig Substitution Case 2 - cot-(2)x _ tan-(2)x-- Worked Example 1
4. Intergration Using Trig Substitution Case 3 - cos-(m)x sin-(n)x
5. Intergration Using Trig Substitution Case 3 -cos-(m)x sin-(n)x- - Worked Example 2
6. Intergration Using Trig Substitution Case 3 -cos-(m)x sin-(n)x- - Worked Example 3
7. Intergration Using Trig Substitution Case 3 -cos-(m)x sin-(n)x- - Worked Example 4
8. Intergration Using Trig Substitution Case 3 - cos-(m)x sin-(n)x Worked 5
9. Intergration Using Trig Substitution Case 4 - Products Of Sines And Cosines
10. Intergration Using Trig Substitution Case 4 (Product of Sines And Cosines) - Worked Example 1
11. Intergration Using Trig Substitution Case 4 -Products Of Sines And Cosines- - Worked Example 2
12. Intergration Using Trig Substitution Case 5 - inverse Trig and Inverse Hyperbolic Functions
1. Intergration By Parts Intro
2. Integration By Parts Case 1 Worked Example 1
3. Integration By Parts Case 1 Worked Example 2
4. Integration By Parts Case 1 Worked Example 3
5. Integration By Parts Case 1- Worked Example 4
6. Integration By Parts Case 2 - Worked Example 1
7. Reduction Formula Case 1 Intro
8. Reduction Formula Case 1- Worked Example 1
9. Reduction Formula Case 2 Part a
10. Reduction Formula Case 2 Part b
1. Intro to Integration Using Partial Fractions
2. Integration Using Partial Fractions Worked Example 1
3. Integration Using Partial Fractions Worked Example 2
4. I.P.F Worked Example 5 - Linear Factors
1. Arithmetic Progression Intro
2. A.P - Worked Example 1 (Finding nth term with series given)
3. A.P - Worked Example 2 (Given two terms and asked to find the third)
4. A.P - Worked Example 3 (Finding the number of the term within a series when you have the series _ the term itself )
5. A.P - Worked Example 4 (Finding Sum of n terms of a known series)
6. A.P - Worked Example 5 (Finding sum of terms and number of terms in an AP when you know first and last term)
7. A.P - Worked Example 6 (Proof that Ap meets an equation)
8. A.P - Worked Example 7 (Questions on sums etc)
9. A.P - Worked Example 8 (The Three Numbers Question)
10. A.P - Worked Example 9 (Sum of Numbers between A and B, divisible by C)
11. A.P - Worked Example 10 ( Inserting Numbers Between Two Digits, to form an AP)
12. A.P - Worked Example 11 (The Total cost of Drilling Question)
13. Intro To Geometric Progression
14. G.P - Worked Example 1 (Finding Tenth term of a GP)
15. G.P - Worked Example 2 (Using formulas of nth terms of GP to make up an equation)
16. G.P - Worked Example 3a (The Compound Interest or Depreciation problem)
17. G.P - Worked Example 3b (The Compound Interest or Depreciation problem)
18. G.P - Worked Example 3 (The Different speeds of a drilling machine)
1. Rolle-s Theorem Intro & Its Application
2. Mean Value Theorem (M.V.T) Intro & Its Application
3. Taylor Series and McLauren Series Quick Recap
4. Taylor Series - Intro & How To Apply It
5. Taylor Series
6. Taylor Series Worked Example 1
7. Intro to Binomial Theorem
8. Binomial Theorem Summary of The 2 Cases
9. Coordinate Conversions (Cartesian to Polar, or vice versa)
1. Chain Rule Shortcut Summary
2. Product Rule & Quotient Rule
3. Common Derivatives Table (Logarithmic, Exponential _ Trig Functions)
4. Common Derivatives Table - Hyperbolic Trig Functions
5. Derivatives Of Inverse Trig Functions - Intro To The Two Important Cases To Be Memorised!
6. Derivatives Of Inverse Trig Functions - Inverses Of sin,cos and tan
7. Derivatives Of Inverse Trig Functions - The Rest Of The Trig To Be Memorised
8. Derivatives Of Inverse Hyperbolic Trig Functions - The 3 Cases
1. Intro To Trig Integrals (2024 Version)
2. Prerequisites to Trig Integrals - Part 1 - The 3 Indentities
3. Prerequisites to Trig Integrals - Part 2 - The Sum and Difference Formulas
4. Important Prerequisites to Trig Integrals - Part 3 - The Product Formulas
5. Important Prerequisites to Trig Integrals - Part 4 - The Double Angle Formulas
6. Important Prerequisites to Trig Integrals - Part 5 - The Half Angle Formulas
7. Summary Of All The Prerequisites (Case 1 - 5)
8. Another Prerequisite - Recap of The Common Derivatives Table!
9. Intro To Trig Integrals - Quick Look at The First 3 Cases
10. Intro To Trig Integrals - Quick Look at The First 3 Cases - Part 2
11. Trig Integrals - Case 1 - sin-m(x)cos-n(x) (m and n are EVEN)
12. Trig Integrals - Case 1 - sin-m(x)cos-n(x) (m and n are EVEN) - Part 2
13. Trig Integrals - Case 2 - tan-m(x) (m is EVEN)
14. Trig Integrals - Case 3 - cot-m(x) (m is EVEN)
15. Trig Integrals - Case 4 - sin-m(x)cos-n(x) (m and n - one is ODD and one is EVEN)
16. Trig Integrals - Case 5 - Products of Sines and Cosines
1. The Types Of Reduction Formula Problems
2. Deriving Reduction Formula of sin^n(x)
3. Applying the bounds (0 to pi÷2) to The General Form Of The Reduction Formula of sin ^n(x) -Same result For cos-
4. Deriving Reduction Formula of cos^nx
1. Finding the Area between two Functions
2. Finding Volume By Intergration - Washer Method Vs Disk Method
3. Disk Method - Past Paper Problem
4. Washer Method - Past Paper Problem
5. Volume of a Cone
6. Volume of region between Parabola and x axis
7. Volume of region between parabola and y-axis
8. Volume of Area contained between curve and x axis
1. Partial Derivatives Past Paper Qusstion 3ci
2. Partial Derivatives Past Paper Qusstion 3cii (Part 1)
3. Partial Derivatives Past Paper Qusstion 3cii (Part 2)
4. Taylor Series Past Paper Question 3di
5. Taylor Series Past Paper Question 3dii
6. Deriving Reduction Formula for tan^n(x) - Part 1
7. Deriving Reduction Formula for tan ^n(x) - Part 2
1. 2021 Past Paper Intro To How We Will Go Through Question Papers!
2. Question 1b (Exponential Growth) - Emth 2021 Paper - Non or Sub Differentiation Part
3. Question 1c (Cartesian To Polar) - Emth 2021 Paper - Non or Sub Differentiation Part
4. Taylor, MacLaurin and Binomial (All in One Killer Video!)
5. Question 3d (Taylor Series) - Emth 2021 Paper - Non or Sub Differentiation Part
1. 2021 Past Paper Intro To Differentiation Part Of Papers
2. Question 1d (L-hopital) - Emth 2021 Paper - Differentiation Part
3. Question 2a (Derivatives of Inverse Trig Functions) - Emth 2021 Paper - Differentiation Part
4. Question 2b (Differentiation using logarithms) - Emth 2021 Paper - Differentiation Part
5. Question 2b.i (Practical Application of maxima and minima) - Emth 2021 Paper - Differentiation Part
6. Question 2b.ii (Practical Application of maxima and minima) - Emth 2021 Paper - Differentiation Part
7. Question 3b (Deriving nth derivative of ln(ax _ b) ) - Emth 2021 Paper - Differentiation Part

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$600.00
158 lessons
19.5 hours of video content

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Engineering Mathematics 1 (EMATH 2.1)

Course curriculum

Compound Angles (Critical Pre-Requisite Knowledge)

Differentiation

Application Of Differentiation

Partial Derivatives

INTERGRATION USING TROGONOMETRIC AND HYPERBOLIC TRIG SUBSTITUTION

INTERGRATION BY PARTS AND REDUCTION FORMULA

INTERGRATION BY PARTIAL FRACTIONS

Arithmetic & Geometric Progressions (2024 Version)

Series (2024 Version)

Cooking Differentiation (2024 Version)

Intergration Using Trigonometric & Hyperbolic Trigonometry [SUBSTITUTION] (2024 Version) - Hurry up and LET'S COOK!

Reduction Formula Cases (2024 Version)

Application Of Integration (2024 Version)

Past Paper Problems (2024 Version)

2023 Past Paper Solutions - Non Differentiation

2023 Past Paper Solutions - Differentiation

About this course

Discover your potential, starting today