Math-Major

Categories Subjects

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

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