PreCalculus (Math 1.1)

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Course curriculum

1. Sets Video 1 - Set Description Part 1 (Definition _ Some Special Sets of Numbers)
2. Sets Video 2 - Set Description Part 2 ( Elementsof a set _ the Empty set)
3. Sets Video 3a - Set Description Part 3(Subsets).mp4
4. Sets Video 3b - Set Description Part 3(Two Special Subsets).mp4
5. Sets Video 4 - Set Operations Part 1 (Complement and Union)
6. Sets Video 5a - Set Operations Part 2 (Intersection and Set Difference).mp4
7. Sets Video 5b - Operation On an Empty Set
8. Sets Video 6 - Worked Examples on Set Operations
9. Sets Video 7 - Cardinality Of Sets
10. Sets Video 8 - Powersets _ Their Cardinality
1. Tutorial 1 - Question 1a
2. Tutorial 1 - Question 1(b -c)
3. Tutorial 1 - Question 1d
4. Tutorial 1 - Question 1e
5. Tutorial 1 - Question 2a.i
6. Tutorial 1 - Question 2a.ii (Method 1-Lecturer-s Approach)
7. Tutorial 1 - Question 2a.ii (Method 2 - Just For Clarity)
8. Tutorial 1 - Question 2b (i-ii)
9. Tutorial 1 - Question 3
10. Tutorial 1 - Question 4
1. Math Tutorial 2 - Number 1
2. Math Tutorial 2 - Number 2
3. Maths Tutorial 2 - Number 2 (Part 2)
4. Maths Tutorial 2 - Number 2 (Part 3)
5. Maths Tutorial 2 - Number 3(Part 1)
6. Maths Tutorial 2 - Number 3 (Part 2)
7. De Morgan-s Laws
8. Tutorial 2 - Question 4
1. The Four Laws Of Exponents
2. Worked Examples On The Four Laws Of Exponents _ Negative Exponents
3. Intro To Radicals and Their 5 Properties
4. Radicals ( Added Info)
5. Logarithms - Things To Know For Test 1
6. Worked Examples - Logarithms (Part 1)
7. Worked Examples 2- Logarithms (Part 1)
8. Worked Examples 2- Logarithms (Part 2)
1. Tutorial 3 - Question 1 (a-c)
2. Tutorial 3 - Question 1 (d - f)
3. Tutorial 3 - Question 1 (g-i)
4. Tutorial 3 - Question 2a
5. Tutorial 3 - Question 2b
6. Tutorial 3 - Question 2(c-e)
7. Tutorial 3 - Question 2(f-h)
8. Tutorial 3 - Question 2 (i-k)
9. Tutorial 3 - Question 2 (l-m)
10. Tutorial 3 - Question 3 (a-d)
11. Tutorial 3 - Question 3e
12. Tutorial 3 - Question 4a
13. Tutorial 3 - Question 4(b-d)
14. Tutorial 3 - Question 4(e-f)
15. Tutorial 3 - Question 4g
16. Tutorial 3 - Question 4h
1. Intro To Functions And Domain of Functions
2. Finding The Domain - Case 1
3. Finding The Domain - Case 2
4. Finding The Domain - Case 2(Additives)
5. Finding The Domain - Case 3
6. Finding The Domain - Case 4 (Last Case)
7. Range Intro
8. Range Worked Examples Part 1
9. Range Worked Examples Part 2
10. Finding Domain and Range After Combinations of Functions Intro
11. Worked Examples - Finding Domain and Range After Combinations of Functions
12. Factorisation Techniques
1. Surds Intro
2. Surds - Worked Examples a_ b
3. Surds - Worked Examples c_d
4. Surds - Worked Example e
5. Surds - Worked Example f
6. Surds - Worked Example g
7. Rationalising The Denominator - Case 1 -Worked Example a_b
8. Rationalising The Denominator - Case 1 -Worked Example c_d
9. Rationalising The Denominator - Case 2 -Worked Example a
10. Rationalising The Denominator - Case 2 -Worked Example b
11. Rationalising The Denominator - Case 3 -Worked Example a
12. Rationalising The Denominator - Case 3 -Worked Example b
1. 2023-24 Test 1 - Number 1ai _ ii
2. 2023-24 Test 1 - Number 1a iii
3. 2023-24 Test 1 - Number 1b
4. 2023-24 Test 1 - Number 2a
5. 2023-24 Test 1 - Number 2b
6. 2023-24 Test 1 - Number 2c
7. 2023-24 Test 1 - Number 3a
8. 2023-24 Test 1 - Number 3b-i
9. 2023-24 Test 1 - Number 3b- ii
10. 2023-24 Test 1 - Number 4a i_ii
11. 2023-24 Test 1 - Number 4b
1. Tutorial 4 - Question 2b
2. Tutorial 4 - Question 2a
3. Tutorial 4 - Question 3
4. Tutorial 4 - Question 4a
5. Tutorial 4 - Question 4b_c
6. Worked Example from student
1. Factoring By Regrouping - Part 1
2. Factoring By Regrouping - Part 2
3. Factorisation By Regrouping - Part 3
4. Definition of Rational Functions
5. Definition of Rational Expressions
6. Factoring and finding domain of rational expressions - a
7. Factoring and finding domain of rational expressions - b
8. Factoring and finding domain of rational expressions - c
9. Factoring and finding domain of rational expressions - d
10. Factoring and finding domain of rational expressions - e
11. Question Solutions - Rational Functions- Number 1 - 3
12. Long Division - Worked Example 1
13. Long Division - Worked Example 2
14. Long Division - Worked Example 2 Additives
15. Remainder Theorem
16. Partial Fractions - Introduction To The Two Cases For Test 2
17. Partial Fractions - Case 1 - Worked Example 1
18. Partial Fractions - Case 1 - Worked Example 2
19. Partial Fractions - Case 2 - Worked Example 1
20. Partial Fractions - Case 2 - Worked Example 2
21. Tutorial 6 - Question 7
1. Modulus Equations Part 1
2. Modulus Equations Part 2
3. Modulus Equations Part 3
4. Equations Involving Exponents All In One Video
5. Equations Involving Logarithms All In One Video
1. Linear Inequalities - Worked Example
2. Compound Inequalities - Worked Example
3. Modulus Inequalities Case 1 - Worked Example
4. Modulus Inequalities Case 2 - Worked Example
5. Rational Inequalities Worked Example 1
6. Rational Inequalities Worked Example 2
7. Rational Inequalities Worked Example 3
8. Quadratic Inequalities Worked Example 1
9. Quadratic Inequalities Worked Example 2
1. Transformations_Of_Functions_-_Introduction_and_Stretch
2. Transformations_Of_Functions_-_Translations_Shifts__And_Reflections
3. Graphing Modulus Functions
4. Composite Functions
5. Proving That A Function Is Injective
6. Proving That A Function Is Surjective and Bijective (If Also Injective)
7. Inverse Of A Function
8. All in One Video On Asymptotes and Holes Concepts
1. 2023-24 Test 2 - Question 2a
2. 2023-24 Test 2 - Question 1 b. Ii
3. 2023-24 Test 2 - Question 1 b i
4. 2023-24 Test 2 - Question 1 a i _ ii
5. 2023-24 Test 2 - Question 1 a iii
1. Intro To Transformations and A look at Shift
2. Stretch
3. Reflection
4. Partial Fractions - Case 3 and 4
5. Partial Fractions Case 3 - Worked Example 1
6. Partial Fractions Case 3 - Worked Example 2 (Part 1)
7. Partial Fractions Case 3 - Worked Example 2 (Part 2)
1. Tutorial 7 - Question 1 - (a-d)
2. Tutorial 7 - Question 2 - (a-b)
3. Tutorial 7 - Question 2 - (c-f)
4. Tutorial 7- Question 3a
5. Tutorial 7- Question 3b
6. Tutorial 7- Question 3c
7. Tutorial 7- Question 4a
8. Tutorial 7- Question 5a - 1st Part
9. Tutorial 7- Question 5a - 2nd Part
10. Tutorial 7- Question 5b - 1st Part
11. Tutorial 7- Question 5b - 2nd Part
12. Tutorial 7- Question 5c - 1st Part
13. Tutorial 7- Question 5c - 2nd Part
14. Tutorial 7- Question 6a
15. Tutorial 7- Question 6b
16. Tutorial 7- Question 6c
17. Tutorial 7- Question 6d
1. Tutorial 8 - Question 2.I (a-d)
2. Tutorial 8 - Question 2.II (a)
3. Tutorial 8 - Question 2.II (b)
4. Tutorial 8 - Question 2.II (c-d)
5. Tutorial 8 - Question 2.II (e-f)
6. Tutorial 8 - Question 3 - Intro
7. Tutorial 8 - Question 3 - (a-b)
8. Tutorial 8 - Question 3 - (c-d)
9. Tutorial 8 - Question 4a - 1st Part
10. Tutorial 8 - Question 4a - 2nd Part
11. Tutorial 8 - Question 4b - 1st Part
12. Tutorial 8 - Question 4b - 2nd Part
13. Tutorial 8 - Question 5 - Intro
14. Tutorial 8 - Question 5 - (a-b)
15. Tutorial 8 - Question 5 - (c-d)
1. Linear Simultaneous Equations (Type 1) - Intro
2. Linear Simultaneous Equations (Type 1) - Worked Example a
3. Linear Simultaneous Equations (Type 1) - Worked Example b
4. Linear Simultaneous Equations (Type 1) - Worked Example c
5. Equations Involving Exponents (Type 3) - Worked Example a
6. Equations Involving Exponents (Type 3) - Worked Example b
7. Equations Involving Exponents (Type 3) - Worked Example c
8. Equations Involving Exponents (Type 3) - Worked Example d
9. Equations Involving Exponents (Type 3) - Worked Example e
10. Equations Involving Exponents (Type 3) - Worked Example a - The third case
11. Equations Involving Exponents (Type 3) - Worked Example b - the third case
12. Equations Involving Logarithms (Type 4) - Worked Example a
13. Equations Involving Logarithms (Type 4) - Worked Example b
14. Equations Involving Logarithms (Type 4) - Worked Example c
15. Equations Involving Surds (Type 5) - Intro
16. Equations Involving Surds (Type 5) - Sample Problem & Worked Example a
17. Checking solution in sample problem
18. Checking The Solution For Worked Example a
19. Equations Involving Surds (Type 5) - Worked Example b
20. Equations Involving Surds (Type 5) - Worked Example c
1. 1st Type of Inequalities - Basic Linear Inequalities
2. 2nd Type of Inequalities - Compound Linear Inequalities .mp4
3. 3rd Type of Inequalities - Quadratic Inequalities (Worked Example 1)
4. 3rd Type of Inequalities - Quadratic Inequalities (Worked Example 2)
5. 3rd Type of Inequalities - Quadratic Inequalities (Worked Example 3)
1. Tutorial 9 - Question 5a
2. Tutorial 9 - Question 5b
3. Tutorial 9 - Question 5c
4. Tutorial 9 - Question 5d
5. Tutorial 9 - Question 5e
6. Tutorial 9 - Question 5f
7. Tutorial 9 - Question 6a
8. Tutorial 9 - Question 7a _ b
9. Tutorial 9 - Question 7c _ d
10. Tutorial 9 - Question 7e
11. Tutorial 9 - Question 7f
1. 2024 Pre Test Paper - Number 1b - i
2. 2024 Pre Test Paper - Number 1b - ii
3. 2024 Pre Test Paper - Number 1b - iii
4. 2024 Pre Test Paper - Number 2a
5. 2024 Pre Test Paper - Number 2b
6. 2024 Pre Test Paper - Number 3b
7. 2024 Pre Test Paper - Number 5b
8. 2024 Pre Test Paper - Number 6 - Part 1
9. 2024 Pre Test Paper - Number 6 - Part 2a
10. 2024 Pre Test Paper - Number 6 - Part 2b
11. 2024 Pre Test Paper - Number 6 - Part 2c _ d
12. 2024 Pre Test Paper - Number 6 - Part 2e
13. 2024 Pre Test Paper - Number 6 - Part 2f

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229 lessons
28 hours of video content

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PreCalculus (Math 1.1)

Course curriculum

Topic 1 - Sets (Part of Test 1)

Tutorial 1 (My Solutions) (Part of Test 1)

Tutorial 2 (My Solutions)(Part of Test 1)

Logarithms & Exponents (Part of Test 1)

Tutorial 3 (My Solutions) (Part of Test 1)

Algebraic Functions- Domain and Factorisation(Part of Test 1 - Ignore Range!)

Surds, Rationalising the Denominator & Logarithms (Part of Test 1)

2023/24 Test 1

Tutorial 4 - My Solutions

Rational Functions (Test 2 Stuff)

Equations

Topic 5 - Inequalities

Topic 6 - Special Functions

2023/2024 Test 2

Partial Fraction Last 2 Cases & Lecture 6 (Part Of Test 3)

Tutorial 7 - My Solutions (Part Of Test 3)

Tutorial 8 - My Solutions ( Part Of Test 3)

Equations - 2024 Version (Part of Test 3)

Inequalities - 2024 Version (Part of Test 3)

Tutorial 9 - My Solutions (Part Of Test 3)

2024 Pre Test

About this course

Discover your potential, starting today