Title: College-Level Mathematics Notes Author: Joyce Wangui
---
1. Algebra & Functions
Equations: Linear, quadratic, and higher-degree equations.
Example: Solve 2x + 3 = 7 → x = 2
Inequalities: Solve and graph on a number line.
Example: x - 5 > 2 → x > 7
Functions: Definition, domain, range, types (linear, quadratic, exponential).
2. Calculus
Limits: Understanding behavior as x approaches a value.
Example: lim(x→2) (x^2 - 4)/(x-2) = 4
Derivatives: Rate of change, rules (power, product, quotient, chain).
Example: f(x) = x^3 → f'(x) = 3x^2
Integrals: Area under curves, basic rules.
Example: ∫x^2 dx = x^3/3 + C
3. Statistics & Probability
Mean, Median, Mode: Measures of central tendency.
Variance & Standard Deviation: Measures of spread.
---
1. Algebra & Functions
Equations: Linear, quadratic, and higher-degree equations.
Example: Solve 2x + 3 = 7 → x = 2
Inequalities: Solve and graph on a number line.
Example: x - 5 > 2 → x > 7
Functions: Definition, domain, range, types (linear, quadratic, exponential).
2. Calculus
Limits: Understanding behavior as x approaches a value.
Example: lim(x→2) (x^2 - 4)/(x-2) = 4
Derivatives: Rate of change, rules (power, product, quotient, chain).
Example: f(x) = x^3 → f'(x) = 3x^2
Integrals: Area under curves, basic rules.
Example: ∫x^2 dx = x^3/3 + C
3. Statistics & Probability
Mean, Median, Mode: Measures of central tendency.
Variance & Standard Deviation: Measures of spread.
