Engineering Mathematics 1 (EMATH 2.1)

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Course curriculum

1. Multivariable Functions Case 2 Worked Example
2. Multivariable Functions Intro
1. Intro To Arithmetic Progression
2. Sum Of An Arithmetic Progression
3. Arithmetic Progression - Worked Example 1
4. Arithmetic Progression - Worked Example 2
5. Arithmetic Progression - Worked Example 3
6. Arithmetic Progression - Worked Example 5
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. Partial Derivatives
1. Small Changes
2. Equation Of Tangent
3. Equation Of Normal
4. Turning Points
5. Turning Points Worked Example 1
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. Rolle-s Theorem Introduction
2. Mean Value Theorem
3. Taylor Series
4. Taylor Series Worked Example 1
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. 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

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104 lessons
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Engineering Mathematics 1 (EMATH 2.1)

Course curriculum

Multivariable Functions

Sequences

Compound Angles (Critical Pre-Requisite Knowledge)

DIFFERENTIATION

PARTIAL DERIVATIVES

APPLICATION OF DIFFERENTIATION

INTERGRATION USING TROGONOMETRIC AND HYPERBOLIC TRIG SUBSTITUTION

INTERGRATION BY PARTS AND REDUCTION FORMULA

SERIES

INTERGRATION BY PARTIAL FRACTIONS

TRIG INTERGRALS (2024 VERSION) - Hurry up and LET'S COOK!

About this course

Discover your potential, starting today