Course Content
Chapter 0: Algebra Review
Master foundational algebra through exponents, factoring, and fractions to bridge the gap between high school and university mathematics with confidence.
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Timetable/Schedule For Live Lessons & WhatsApp Group Links for Communication
0.3 Basic Introduction: Exponents & Radicals
09:00
0.3 Basic Introduction: Exponents & Radicals Example 1
04:04
0.3 Basic Introduction: Exponents & Radicals Example 2
04:03
0.3 Quiz
00:05:00
0.4 Operations with Algebraic Expressions
18:35
0.4 Operations with Algebraic Expressions (Long Division)
10:19
0.4 Quiz
Practice Assignment & Tips (Chapter 0.3 & 0.4)
0.5 Factoring
11:20
0.6 Fractions Part 1 (with Examples)
20:22
0.6 Fractions Part 2 (Addition/Subtraction with Same Denominator)
13:10
0.6 Fractions (Addition/Subtraction with Different denominators) [Original Technique]
04:23
0.6 Fractions (Addition/Subtraction with Different denominators) [Cross Multiply Technique]
10:26
0.7 Linear Equations Part 1
06:53
0.7 Linear Equations (Fractional Equation Example)
03:40
0.7 Linear Equations Part 2
21:18
0.8 Quadratic Equations Part 1
20:10
0.8 Quadratic Equations Part 2 (Quadratic-Form Equations)
09:02
Practice Assignment (Chapter 0.5 to 0.8)
Chapter 1: Applications & More Algebra
Conquer advanced algebraic techniques and real world problem solving by mastering complex equations, inequalities, and their practical applications in commerce.
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1.1 Applications of Equations Part 1
05:09
1.1 Applications of Equations Part 2
07:08
1.2 Linear Inequalities
11:45
Practice Assignment (Chapter 1.1 & 1.2)
Chapter 2: Functions & Graphs
Master the behavior of linear, quadratic, and polynomial functions while learning to interpret and plot graphs accurately to visualize mathematical relationships.
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2.1 Functions & Their Domains
05:34
2.1 Functions & Their Domains Example 1
04:15
2.1 Functions & Their Domains Example 2
03:27
Practice Assignment (Chapter 2.1)
2.2 Special Functions
2.3 Combinations of Functions
02:28
2.3 Combinations of Functions Example 1
03:57
2.3 Combinations of Functions (Composition)
03:19
2.3 Combinations of Functions (Composition Example 1)
04:10
Chapter 3: Lines, Parabolas & Systems
Master the geometry of linear and quadratic equations while learning to solve systems of equations efficiently to find points of intersection and equilibrium.
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3.1 Straight Lines
16:02
3.1 Straight Lines Example (with Horizontal & Vertical Lines)
04:50
3.1 Straight Lines (General Linear Form)
05:09
3.1 Straight Lines (Parallel & Perpendicular Lines)
10:36
3.2 Applications and Linear Functions
11:02
3.3 Quadratic Functions
13:51
3.3 Quadratic Functions (Example)
07:25
3.3 Quadratic Functions Application Question
09:17
3.4 Systems of Linear Equations
01:20
3.4 Systems of Linear Equations (One Solution Example)
05:39
3.4 Systems of Linear Equations (No Solution Example)
07:32
3.4 Systems of Linear Equations (Infinitely Many Solutions Example)
03:01
3.4 Systems of Linear Equations (Three Variable Systems)
05:49
Practice Assignment (Chapter 3.1 to 3.4)
Chapter 4: Exponential & Logarithmic Functions
Master the properties of growth and decay by learning to solve exponential equations and logarithmic transformations for complex real world modeling.
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4.1 Exponential Functions
15:47
4.1 Exponential Functions (Example)
04:32
4.1 Exponential Functions (Vertical Shift)
06:15
4.1 Exponential Functions (Horizontal Shift)
09:05
4.1 Exponential Functions (with Base e)
03:57
4.2 Logarithmic Functions and Conversion
08:04
4.2 Conversion Practice
02:47
4.2 Finding Logarithms by Conversion Practice
05:16
4.3 Properties of Logarithms with Examples (Separating Logarithms)
19:14
4.3 Properties of Logarithms with Examples (Combining Logarithms)
10:16
4.3 Solving Exponential and Logarithmic Equations (Basic Introduction to 4.4)
05:04
4.4 Logarithmic and Exponential Equations Part 1
08:28
4.4 Logarithmic and Exponential Equations Part 2
09:28
Chapter 5: Finance Mathematics
Master the logic of time value of money by learning to calculate simple and compound interest, annuities, and sinking funds for financial decision making.
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5.1 Compound Interest Theory
03:52
5.1 Compound Interest Example 1
05:20
5.1 Compound Interest Example 2
04:51
5.1 Compound Interest Example 3
04:02
5.1 Compound Interest (Effective Rate)
04:16
5.1 Compound Interest (Effective Rate) Example
02:42
5.2 Present Value
04:54
5.2 Present Value (Equations of Value)
17:17
5.2 Present Value (Net Present Value)
08:49
5.3 Interest Compounded Continuously
08:59
5.4 Annuities
11:18
5.4 Annuities Example 1
02:53
5.5 Amortization of Loans
5.6 Perpetuities
Semester Test 1 Preparation Content
Consists of Preparation Documents designed to help you for your Semester Test 1
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Chapter 0 and 1 Practice
Chapter 2 Practice
Chapter 7: Linear Programming
Master the art of optimization by learning to graph linear inequalities and solve objective functions to find the best possible outcomes within given constraints.
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7.1 Linear Inequalities in Two Variables
7.2 Linear Programming
Chapter 8: Probability
Master the mathematical principles of chance by learning to calculate outcomes, independent events, and conditional probabilities to make informed predictions in commerce.
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8.3 Sample Spaces and Events
8.4 Probability
8.5 Conditional Probability
8.6 Independent Events
8.7 Bayes’ Formula
Chapter 11: Differentiation
Master the concept of the derivative and its multiple techniques in order to calculate the rates of change.
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11.1 Derivatives
11.2 Rules for Differentiation
11.3 The Derivative as a Rate of Change
11.4 The Product Rule and the Quotient Rule
11.5 The Chain Rule
Chapter 12: Additional Topics in Differentiation
Master advanced calculus techniques by learning the chain rule, implicit differentiation, and higher-order derivatives to solve complex rate-of-change problems.
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12.1 Derivatives of Logarithmic Functions
12.2 Derivatives of Exponential Functions
Chapter 13: Curve Sketching
Master the visual analysis of functions by using first and second derivatives to identify local extrema, points of inflection, and concavity for precise graph construction.
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13.1 Relative Extrema
13.2 Absolute Extrema on Closed Intervals
13.3 Concavity
13.4 The Second Derivative Test
13.6 Applied Maxima and Minima
Mathematical Analysis Mastery (Both Semesters)

This lesson provides a foundational introduction to exponents and radicals. It covers the essential rules of exponents, including the rule of one and the negative exponent rule.

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