Introductory Calculus 2 (Maths 102)

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Course curriculum

1. Intro To Rational Functions and the Graph of y=1/x
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2. Types Of Transformations And How they affect y=1/x
3. Sketching Graphs of Rational Functions Using Transformations of the graph y=1/x
4. Finding The Domain And Range After Sketching A Graph Using Transformations
5. Intro To Sketching Graphs Of Rational Functions Using Asymptotes And Intercepts
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6. Sketching Graphs Of Rational Functions Concept 1 - Factorisation
7. Sketching Graphs Of Rational Functions Concept 2 - x and y intercepts
8. How to Find Domain Issues (Holes And Vertical Asymptotes)
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9. Worked Examples On Domain Issues
10. How To Find The End Behaviour (Horizontal Asymptote & Slant Asymptote) Of a Rational Function
11. Worked Examples On End Behavior
1. Average Rate Of Change
2. Instantaneous Rate Of Change
1. Limit Laws
2. Special Limits - Applying Limit Laws
3. Solving Limits Algebraically - The Four Methods
4. Solving Limits Using Method Of Comparing Right Hand And Left Hand Limits Part 1 - (Piecewise Functions)
5. Solving Limits Using Method Of Comparing Right Hand And Left Hand Limits Part 2 - (Absolute Value Functions)
1. Differentiation From First Principles Intro
2. Differentiation From First Principles Worked Example 1
3. Differentiation From First Principles Worked Example 2 (Part 1)
4. Differentiation From First Principles Worked Example 2 (Part 2)
1. The Notations In Differentiation
2. The Four Rules Of Differentiation (Part 1)
3. The Four Rules Of Differentiation (Part 2)
4. Worked Example 1A - Differentiation Rules
5. Worked Example 1B & Worked Example 2 - Differentiation Rules.
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6. Worked Example 3 & Worked Example 4 - Differentiation Rules
7. Worked Example 5 - Differentiation Rules
8. Worked Example 6(A) - Differentiation Rules.mp4
9. Worked Example 6(A) (Additives) - Differentiation Rules
10. Worked Example 6(B) - Differentiation Rules
11. Worked Example 6(E) - Differentiation Rules
12. Worked Example 7 - Differentiation Rules
13. Worked Example 8 -Differentiation Rules (Low Volume)
1. Tutorial 4 - Question 1 (Intro To Some Limit Laws)
2. Tutorial 4 - Question 1a & 1b
3. Tutorial 4 - Question 2b
4. Tutorial 4 - Question 2c
5. Tutorial 4 - Question 2d
6. Tutorial 4 - Question 2e
7. Tutorial 4 - Question 2f
8. Tutorial 4 - Question 2f (Additives)
9. Tutorial 4 - Question 4a - 4e
10. Some Tips On Continuity
11. Tutorial 4 - Question 5
1. Tutorial 5 Question 2a
2. Tutorial 5- How To Do The Rest Of Question 2
3. Tutorial 5 Question 3 Intro
4. Tutorial 5 - Question 3a & 3d
5. Tutorial 5 Question (3b & 3c)
6. Tutorial 5 Question 3e
7. Tutorial 5 -Question 3f
8. Tutorial 5 - Question 4a - 4c
9. Tutorial 5 - Question 5a (Part i) (Low Volume)
10. Tutorial 5 - Question 5a (Part ii)(1st Coordinate) (Low Volume)
11. Tutorial 5 - Question 5a (Part ii) (2nd Coordinate) (Low Volume)
12. Tutorial 5 - Question 5a (Part ii) (3rd Coordinate) (Low Volume)
13. Tutorial 5 - Question 5b (Part i) (Low Volume)
14. Tutorial 5 - Question 5b (Part i) (Additives) (Low Volume)
15. Tutorial 5 - Question 5b (Part ii) (1st Coordinate) (Low Volume)
16. Tutorial 5 - Question 5b (Part ii) (2nd Coordinate) (Low Volume)
17. Tutorial 5 - Question 1
1. Tutorial 6 - Question 1
2. Tutorial 6 - Question 2a (Part i) (Low Volume)
3. Tutorial 6 - Question 2a (Part i) (Additives) (Low Volume)
4. Tutorial 6 - Question 2b (Part i) (Low Volume)
5. Tutorial 6 - Question 3a & 3d
6. Tutorial 6 - Question 3f
7. Tutorial 6 - Question 4a
8. Tutorial 6 - Question 5a
9. Tutorial 6 - Question 5b
10. Tutorial 6 - Question 6A
11. Tutorial 6 - Question 6 (1st Part Only) (Low Volume)
1. Question 1
2. Question 6 - Part 1
3. Question 6 - Part 2
4. Worksheet 1- Question 8
5. Worksheet 1 - Question 9a
6. Worksheet 1 - Question 9b
7. Worksheet 1 - Question 9c
8. Worksheet 1- Number 9d
9. Worksheet 1 Number 9d Adjustments
1. Worked Example 1a &1b - From Worksheet 1 (Question 7)
2. Worked Example 2a - Dynamite Question from Text book and Lecture Notes
3. Worked Example 2b - Dynamite Question From Textbook & Lecture Notes
1. Limits Involving sin(theta) Intro And Worked Example 1
2. Compound Angles (Intro To Worked Example 2)
3. Worked Example 2 (Number 1b)
4. Worked Example 3
5. Deriving The Formula For Derivative Of Sinx (Using First Principles)
6. Deriving The Formula For Derivative Of Sinx (Using First Principles).... The One Used In Lecture Slides!
7. Deriving The Formula For Derivative Of Cosx (Using First Principles)
8. Common Derivatives (Derivatives Of All The Trig Functions
9. Worked Examples On Derivatives Of Trig Functions (a-e)
10. Worked Examples On Derivatives Of Trig Functions (f _ g)
1. Application Of Differentiation Concepts!
2. Summary of Important Points For First Derivative Methods
3. Summary of important points that need second derivative
4. Worked Example 1
5. Worked Example 2 - Increasing Or Decreasing Test
6. Worked Example 3 - Increasing Or Decreasing Test
7. Worked Example 4 - Finding Critical Values
8. Worked Example 5 - First DerivativeTest
9. Worked Example 6 - Concavity _ Inflection Point
10. Worked Example 7 - Concavity _ Inflection Point
11. Worked Example 8 - Second Derivative Test
12. First 3 Intergration Techniques _ Their Cases!
13. Worked Example 9 - Identifying Cases!
14. Worked Example 10 - Integration
15. Worked Example 11 - Integration
16. Worked Example 12 - Integration
17. Worked Example 13 - Integration
18. Worked Example 14 - Integration
19. Worked Example 15 - Integration
20. Intergration By Partial Fractions - Technique
21. Worked Example 16 - Integration By Partial Fractions
22. Worked Example 17 - Integration By Partial Fractions
23. Worked Example 18 - Integration By Partial Fractions
24. Derivatives of Exponential and Logarithmic Functions Cases!
25. Worked Example 19 (a-c)
26. Worked Example 19 (d)
27. Worked Example 19 (e)
28. Worked Example 19 (f_g)
29. Worked Example 19 (h)
30. Worked Example 19 (i)
31. Worked Example 19 (j)
32. Worked Example - 20 -Integration basics- (a-d)
33. Worked Example - 20 -Integration basics- (e)
34. Worked Example - 20 -Integration basics- (f)
35. Worked Example - 20 -Integration basics- (g)
36. Worked Example - 20 -Integration basics- (h)
37. Worked Example - 20 -Integration basics- (i)
38. Worked Example - 21 -Integration basics- (a)
39. Worked Example - 21 -Integration basics- (a) Additives
40. Worked Example - 21 -Integration basics- (b)
41. Worked Example - 21 -Integration basics- (c)
42. Worked Example - 21 -Integration basics- (d) Part 1
43. Worked Example - 21 -Integration basics- (d) Part 2
44. Worked Example - 21 -Integration basics- (e)
45. Reimann Summation Concepts
46. Worked Example 22 - Reimann Summation
47. Worked Example 23 - Finding Exact Area By Definite Intergration
48. Worked Example 24 - Definite Intergration(a)
49. Worked Example 24 - Definite Intergration(b _ c)
50. Fundamental Theorem Of Calculus (1st Part) _ Worked Example 25
51. Combining Areas
52. Worked Example 26(a) - Intergral Of Modulus Functions
53. Worked Example 26(b) - Intergral Of Modulus Functions
54. Finding Area Of A Region Bounded By 2 Graphs
55. Worked Example 27 (a) - Area Of The Region Bounded By The Graphs
56. Worked Example 27 (b) - Area Of The Region Bounded By The Graphs
57. Worked Example 27 (c) - Area Of The Region Bounded By The Graphs
58. Worked Example 27 (d) - Area Of The Region Bounded By The Graphs
59. Worked Example 27 (e) - Area Of The Region Bounded By The Graphs
60. Trigonometric Intergrals (Prerequisite Knowledge)
61. Common Derivatives Table
62. Recap - Prerequisites
63. Trigonometric Intergrals - Case 1 _ Worked Example
64. Trigonometric Intergrals - Case 2 _ Worked Example
65. Trigonometric Intergrals - Case 3 _ Worked Example
66. Trigonometric Intergrals - Case 4 _ Worked Example
67. Trigonometric Intergrals - Case 6 Parts!
68. Trigonometric Intergrals - Case 6 -Worked Example 1
1. 2023 Math 102 Exam -1 (a)
2. 2023 Math 102 Exam -1 (b)
3. 2023 Math 102 Exam -1 (c)
4. 2023 Math 102 Exam -2 (a)i
5. 2023 Math 102 Exam -2 (a)ii
6. 2023 Math 102 Exam -2 (a)iii
7. 2023 Math 102 Exam -2 (b)
8. 2023 Math 102 Exam -2 (c)
9. 2023 Math 102 Exam -3 (a)
10. 2023 Math 102 Exam -3 (b) 1st Part
11. 2023 Math 102 Exam -3 (b) 2nd Part
1. 2023 Math 102 Exam -4 (a)i _ ii.mp4
2. 2023 Math 102 Exam -4 (a)iii
3. 2023 Math 102 Exam -4 (a)iv
4. 2023 Math 102 Exam -4 (b)
5. 2023 Math 102 Exam -4 (c)
6. 2023 Math 102 Exam -5 (a)i-iii
7. 2023 Math 102 Exam -5 (a)iv (ii _ iii labelled numbered here)
8. 2023 Math 102 Exam -5 (a)v
9. 2023 Math 102 Exam -5 (b)
10. 2023 Math 102 Exam -5 (c)
11. 2023 Math 102 Exam -6 (a)i _ ii
12. 2023 Math 102 Exam -6 (a)iii _ iv
13. 2023 Math 102 Exam -6 (a)v
14. 2023 Math 102 Exam -6 (b)
15. 2023 Math 102 Exam -6 (c)
1. 2022 Math 102 Exam -1 (a)i
2. 2022 Math 102 Exam -1(a)i Method 2
3. 2022 Math 102 Exam -1 (a)ii
4. 2022 Math 102 Exam -2 i
5. 2022 Math 102 Exam -2 ii
6. 2022 Math 102 Exam -2 iii
7. 2022 Math 102 Exam -3 i
8. Differentiationfrom first principles (With formula for alternativeform)
9. Reinstating The 2 Formulae
10. Worked Example - Using First Formula
11. 2022 Math 102 Exam -3 ii
12. 2022 Math 102 Exam -4 a
13. 2022 Math 102 Exam -4 b
1. 2022 Math 102 Exam -5 a
2. 2022 Math 102 Exam -5 b
3. 2022 Math 102 Exam -6 a
4. 2022 Math 102 Exam -6 b
5. 2022 Math 102 Exam -7 a
6. 2022 Math 102 Exam -7 b (i _ ii)
7. 2022 Math 102 Exam -7 c
8. 2022 Math 102 Exam -8 a
9. 2022 Math 102 Exam -8 b
10. 2022 Math 102 Exam -9 a
11. 2022 Math 102 Exam -9 b
12. 2022 Math 102 Exam -9 b Last Part
1. Worksheet 2 Number 1a i
2. Worksheet 2 Number 1a ii
3. Worksheet 2 Number 1a iii
4. Worksheet 2 Number 1b i
5. Worksheet 2 Number 1b ii
6. Worksheet 2 Number 2a i.mp4
7. Worksheet 2 Number 2 a ii
8. Worksheet 2 Number 2 a iii
9. Worksheet 2 Number 2a iv
10. Worksheet 2 Number 2 a v
1. Types _ Cases Of Limits Solved By L-Hopital-s Theorem (Bernoulli-s Theorem)
2. Case 1 Worked Example 1
3. Case 1 Worked Example 2.mp4
4. Case 1 Worked Example 3
5. Case 2 - Worked Example 1
6. Case 2 - Worked Example 2
7. Case 2 - Worked Example 3
8. Case 3 - Worked Example 1
9. Case 3 - Worked Example 2
10. Case 4 - Worked Example 1
11. Case 5 - Worked Example 1
12. Case 5 - Worked Example 2

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237 lessons
28 hours of video content

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Introductory Calculus 2 (Maths 102)

Course curriculum

Rational Functions And Their Graphs

Limit Definition and Average Rate Of Change

Chapter 3 - Solving Limits Algebraically

Differentiation From First Principles

Differentiation Using The Rules

Tutorial 4

Tutorial 5

Tutorial 6

Worksheet 1

Motion Questions Solved

Derivatives 4

Exam Series

2023 Math 102 Exam - Section A

2023 Math 102 Exam - Section B

2022 Math 102 Exam - Section A

2022 Math 102 Exam - Section B

Worksheet 2

L'Hopital Limits (Start To Finish!)

About this course

Discover your potential, starting today