Math-Major

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Mathematics Major

Comprehensive Curriculum:

AljannatOnlineEducation offers an extensive Mathematics Major program that covers fundamental and advanced topics essential for mastering mathematics. Our courses cater to students at various levels, including GCSE, IGCSE, AS & A Levels, and international curricula.

Key Course Components:

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1. Percentages

  • Conversion between percents, fractions, and decimals
  • Solving percent equations and word problems
  • Simple and compound interest calculations
  • Percent of a number: GST, discounts, and more
  • Multi-step percent problems

2. Geometry

  • Perimeter and area of various shapes
  • Volume and surface area of solids
  • Congruent and similar figures
  • Pythagorean theorem and its applications
  • Special right triangles and indirect measurement

3. Trigonometry

  • Trigonometric ratios: sin, cos, tan, csc, sec, cot
  • Solving right triangles and using trigonometric functions
  • Trigonometric functions of special angles
  • Inverse trigonometric functions
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4. Data and Graphs

  • Interpretation and creation of bar graphs, line graphs, and histograms
  • Circle graphs, stem-and-leaf plots, and box-and-whisker plots
  • Scatter plots and lines of best fit

5. Matrices

  • Matrix operations: addition, subtraction, multiplication
  • Determinants and inverses
  • Solving matrix equations and simplifications

6. Quadratic Functions

  • Characteristics and transformations of quadratic functions
  • Solving quadratic equations by various methods
  • Graphing and analyzing quadratic functions

7. Calculus

  • Introduction to derivatives and their applications
  • Finding derivatives using limits, sum and difference rules, product and quotient rules
  • Chain rule and inverse function rule
  • Applications in finding tangent lines and instantaneous rates of change

8. Functions

  • Domain and range
  • Linear and absolute value functions
  • Function composition and inverse functions

9. Probability

  • Basic probability concepts and calculations
  • Combinations, permutations, and two-way frequency tables
  • Conditional probability and independence

10. Statistics

  • Identifying biased samples and outliers
  • Calculating variance, standard deviation, and correlation coefficients
  • Regression lines and confidence intervals