Mathematical Analysis Mastery (Both Semesters)

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About Course

Course Overview:
Master the core mathematical principles of both your semesters with Mathematical Analysis Mastery. This course is specifically designed for UJ students within the commerce and business management faculties who need to bridge the gap between abstract theory and practical application. We break down the specific chapters of your curriculum into logical, step-by-step tutorials to ensure you are fully prepared for your assessments and can reach that 80%+ mark.

Why Enroll with Boost Tutoring 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 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.

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What Will You Learn?

  • 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.

  • Timetable/Schedule For Live Lessons & WhatsApp Group Links for Communication
  • 09:00
  • 04:04
  • 04:03
  • 0.3 Quiz
  • 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.

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.

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.

Semester Test 1 Preparation Content
Consists of Preparation Documents designed to help you for your Semester Test 1

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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