MAEB0A1 & MATDCA1 Tutoring (Both Semesters)

About Course

Course Overview:
Elevate your academic performance with a comprehensive mastery course specifically designed for UJ students within the commerce, economics and finance stream. This course is built to help you master the core mathematical logic required for both your 1st and 2nd semester modules. We bridge the gap between complex formulas and real-world business applications, breaking every topic into logical, step-by-step tutorials to ensure you reach that 80%+ mark.

Why Enroll on this course on Grid?

Experienced-Led Logic: This course is taught by an instructor with years of experience tutoring this specific module. We understand the common pitfalls students face and have perfected the art of simplifying high-level concepts into digestible, easy-to-follow logic.
Affordable Support: High-quality university-level content for only R99 per module.
Step-by-Step Guidance: Perfect for students who find math intimidating.
Exam Readiness: Focus on the core chapters most likely to appear in your assessments.
24/7 Support/Consultations: Stuck on a difficult problem in Chapter 5 or Chapter 11? You can reach out for guidance at any time, just like you would with your personal tutor. We are here to ensure you never stay stuck for long.

Disclaimer:

Independent Service: This course is an independent academic support module provided by Reach Across Tutoring and Boost Tutoring Services.
No Official Affiliation: It is not affiliated with, endorsed by, or sponsored by any university or official educational institution.
Supplemental Material: This content is intended as a supplemental study aid and does not replace official university lectures, textbooks, or required course materials.
Accuracy: While every effort is made to ensure the accuracy of the problem-solving methods provided, students are encouraged to verify all concepts against their official curriculum.

Master algebraic foundations, functions, and systems (Chapters 0–3).
Understand and apply exponential and logarithmic growth (Chapter 4).
Solve complex time-value-of-money problems in Finance (Chapter 5).
Optimize business decisions using Linear Programming (Chapter 7).
Grasp fundamental probability and risk assessment (Chapter 8).
Apply differentiation to optimize profit and minimize costs (Chapters 11–13).

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.

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
0.4 Operations with Algebraic Expressions

18:35
0.4 Operations with Algebraic Expressions (Long Division)
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.

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.

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.

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.

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.

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.

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.

Chapter 11: Differentiation
Master the concept of the derivative and its multiple techniques in order to calculate the rates of change.

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.

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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What Will You Learn?

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.

0.3 Basic Introduction: Exponents & Radicals

0.3 Basic Introduction: Exponents & Radicals Example 1

0.3 Basic Introduction: Exponents & Radicals Example 2

0.3 Quiz

0.4 Operations with Algebraic Expressions

0.4 Operations with Algebraic Expressions (Long Division)

0.4 Quiz

Practice Assignment & Tips (Chapter 0.3 & 0.4)

0.5 Factoring

0.6 Fractions Part 1 (with Examples)

0.6 Fractions Part 2 (Addition/Subtraction with Same Denominator)

0.6 Fractions (Addition/Subtraction with Different denominators) [Original Technique]

0.6 Fractions (Addition/Subtraction with Different denominators) [Cross Multiply Technique]

0.7 Linear Equations Part 1

0.7 Linear Equations (Fractional Equation Example)

0.7 Linear Equations Part 2

0.8 Quadratic Equations Part 1

0.8 Quadratic Equations Part 2 (Quadratic-Form Equations)

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.

1.1 Applications of Equations Part 1

1.1 Applications of Equations Part 2

1.2 Linear Inequalities

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.

2.1 Functions & Their Domains

2.1 Functions & Their Domains Example 1

2.1 Functions & Their Domains Example 2

Practice Assignment (Chapter 2.1)

2.2 Special Functions

2.3 Combinations of Functions

2.3 Combinations of Functions Example 1

2.3 Combinations of Functions (Composition)

2.3 Combinations of Functions (Composition Example 1)

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.

3.1 Straight Lines

3.2 Applications and Linear Functions

3.3 Quadratic Functions

3.4 Systems of Linear Equations

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.

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Properties of Logarithms

4.4 Logarithmic and Exponential Equations.

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.

5.1 Compound Interest

5.2 Present Value

5.3 Interest Compounded Continuously

5.4 Annuities

5.5 Amortization of Loans

5.6 Perpetuities

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.

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.

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.

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.

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.

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