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.
0/5
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)

Master the basics of simplifying math: Combine like terms, distribute across brackets, and apply exponent laws to solve expressions efficiently.

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