Understand The Math - Invidious

Understand The Math

Free step-by-step math lessons with guided notes to help you truly understand math.

Welcome to Understand The Math, where you'll find clear explanations, worked examples, and free guided notes designed to help you build confidence and succeed in math.

Whether you're studying algebra, trigonometry, precalculus, calculus, linear algebra, or differential equations, you'll find lessons that focus on building real understanding, not just memorizing formulas.

Created by Dr. Cheryl Hile, a former Penn State mathematics professor with more than 25 years of university teaching experience and a Ph.D. in Engineering Science and Applied Mathematics.

📌 Subscribe for new math lessons, worked examples, and free guided notes to help you understand math with confidence.

View channel on YouTube

Switch Invidious Instance

Videos

newest

oldest

popular

7:06

Integration Using Partial Fractions | Irreducible Quadratic Factors

Understand The Math

Shared 3 hours ago

3 views

11:04

Integration Using Partial Fractions | Repeated Linear Factors

Understand The Math

Shared 1 day ago

29 views

7:58

Integration with Partial Fractions - Distinct Linear Factors

Understand The Math

Shared 2 days ago

64 views

3:58

Partial Fraction Decomposition | Irreducible Quadratic Factors

Understand The Math

Shared 3 days ago

58 views

8:06

Partial Fraction Decomposition | Repeated Linear Factors

Understand The Math

Shared 4 days ago

74 views

6:09

Partial Fraction Decomposition | Distinct Linear Factors

Understand The Math

Shared 5 days ago

174 views

33:07

Integration Using Partial Fractions Made Easy | All 4 Cases with Examples

Understand The Math

Shared 6 days ago

91 views

15:09

Trigonometric Substitution Examples with Completing the Square | Calculus 2

Understand The Math

Shared 1 week ago

267 views

16:23

Trigonometric Substitution Made Easy | Completing the Square

Understand The Math

Shared 1 week ago

124 views

7:51

Trigonometric Substitution | Integrals with √(x² − a²)

Understand The Math

Shared 1 week ago

138 views

6:42

Trigonometric Substitution | Integrals with √(x² + a²)

Understand The Math

Shared 1 week ago

290 views

8:13

Trigonometric Substitution | Integrals with √(a² − x²)

Understand The Math

Shared 2 weeks ago

300 views

24:01

Trigonometric Substitution Made Easy | All 3 Cases with Examples

Understand The Math

Shared 2 weeks ago

128 views

3:51

Trigonometric Integrals | Products of Tangent and Secant – Secant Power Even

Understand The Math

Shared 2 weeks ago

40 views

4:27

Trigonometric Integrals | Products of Tangent and Secant – Tangent Power Odd

Understand The Math

Shared 2 weeks ago

54 views

6:04

Trigonometric Integrals | Odd Powers of Secant

Understand The Math

Shared 2 weeks ago

58 views

3:31

Trigonometric Integrals | Even Powers of Secant

Understand The Math

Shared 3 weeks ago

37 views

3:35

Trigonometric Integrals | Odd Powers of Tangent

Understand The Math

Shared 3 weeks ago

42 views

5:32

Trigonometric Integrals | Even Powers of Tangent

Understand The Math

Shared 3 weeks ago

76 views

7:57

Trigonometric Integrals | Products of Tangent and Secant Step-by-Step

Understand The Math

Shared 3 weeks ago

35 views

9:30

Trigonometric Integrals | Powers of Secant Step-by-Step

Understand The Math

Shared 3 weeks ago

88 views

9:05

Trigonometric Integrals | Powers of Tangent Step-by-Step

Understand The Math

Shared 3 weeks ago

24 views

4:55

How to Integrate tan(x) and sec(x) | Trigonometric Integrals

Understand The Math

Shared 3 weeks ago

34 views

31:53

Trigonometric Integrals Made Easy | Powers & Products of Tangent and Secant

Understand The Math

Shared 4 weeks ago

38 views

8:16

Trigonometric Integrals | Products of Sine and Cosine

Understand The Math

Shared 4 weeks ago

42 views

7:56

Trigonometric Integrals | When the Powers of Sine and Cosine Are Even

Understand The Math

Shared 4 weeks ago

68 views

2:59

Trigonometric Integrals | When the Power of Cosine Is Odd

Understand The Math

Shared 1 month ago

271 views

4:08

Trigonometric Integrals | When the Power of Sine Is Odd

Understand The Math

Shared 1 month ago

293 views

15:23

Trigonometric Integrals | Powers of Sine and Cosine

Understand The Math

Shared 1 month ago

221 views

24:50

Trigonometric Integrals Made Easy | Powers & Products of Sine and Cosine

Understand The Math

Shared 1 month ago

38 views

5:49

How to Integrate ∫eˣcos(x) dx Using Integration by Parts

Understand The Math

Shared 1 month ago

64 views

5:43

How to Integrate ∫arctan(x) dx Using Integration by Parts

Understand The Math

Shared 1 month ago

44 views

2:39

How to Integrate ∫ln(x) dx Using Integration by Parts

Understand The Math

Shared 1 month ago

58 views

4:15

How to Integrate ∫x²eˣ dx Using Integration by Parts

Understand The Math

Shared 1 month ago

22 views

2:20

How to Integrate ∫x sin(x) dx Using Integration by Parts

Understand The Math

Shared 1 month ago

22 views

4:53

Integration by Parts Formula Explained | ILATE Rule, Derivation & Step-by-Step Process

Understand The Math

Shared 1 month ago

24 views

2:38

How to Integrate ∫xeˣ dx Using Integration by Parts

Understand The Math

Shared 1 month ago

65 views

7:20

Tabular Integration Explained | DI Method for Integration by Parts

Understand The Math

Shared 1 month ago

51 views

22:44

Integration by Parts Examples | 6 Step-by-Step Calculus II Problems

Understand The Math

Shared 1 month ago

29 views

37:01

Integration by Parts Made Easy | Formula, ILATE Rule, Tabular Integration & Examples

Understand The Math

Shared 1 month ago

87 views

1:58

Why Convolution is Needed (Laplace Transforms Explained Clearly)

Understand The Math

Shared 1 month ago

19 views

1:30

The Convolution Integral Explained (Laplace Transforms Step-by-Step)

Understand The Math

Shared 1 month ago

60 views

13:49

Systems of Differential Equations: Complex Eigenvalues (Step-by-Step Example)

Understand The Math

Shared 2 months ago

65 views

3:27

What Is QR Factorization (QR Decomposition)? | Linear Algebra

Understand The Math

Shared 2 months ago

113 views

5:05

Ordinary and Singular Points of a Differential Equation (Regular vs Irregular)

Understand The Math

Shared 2 months ago

88 views

6:45

Dirac Delta Function and ODE (Laplace Transform Step-by-Step Example)

Understand The Math

Shared 2 months ago

62 views

6:42

Second Shifting Theorem (Unit Step Function Laplace Transform Example)

Understand The Math

Shared 2 months ago

173 views

6:31

Unit Step Function and Laplace Transform (Heaviside Function Explained)

Understand The Math

Shared 2 months ago

66 views

4:54

Using Convolution to Solve Differential Equations (Step-by-Step)

Understand The Math

Shared 2 months ago

68 views

8:56

Convolution Examples (Laplace Transforms Step-by-Step Solutions)

Understand The Math

Shared 2 months ago

66 views

13:07

QR Factorization Example (QR Decomposition) | Linear Algebra

Understand The Math

Shared 2 months ago

468 views

1:30

The Convolution Theorem (Laplace Transforms Made Clear)

Understand The Math

Shared 3 months ago

68 views

16:15

QR Factorization Explained with Example | QR Decomposition | Linear Algebra

Understand The Math

Shared 3 months ago

276 views

2:08

Calculus 1 Full Course | Step-by-Step Lessons, Examples & Guided Notes

Understand The Math

Shared 3 months ago

412 views

1:39

Linear Algebra Full Course | Step-by-Step Lessons, Examples & Applications

Understand The Math

Shared 3 months ago

1.5K views

10:30

Systems of Differential Equations: Repeated Eigenvalues (Step-by-Step Example)

Understand The Math

Shared 3 months ago

101 views

11:42

Systems of Differential Equations: Distinct Real Eigenvalues (Step-by-Step Example)

Understand The Math

Shared 3 months ago

97 views

5:45

Solve Systems of Differential Equations Using Eigenvalues (All Cases Explained)

Understand The Math

Shared 3 months ago

108 views

25:57

Classifying Critical Points: Examples (Saddle, Node, Spiral, Center)

Understand The Math

Shared 3 months ago

133 views

4:02

How to Classify Critical Points (Saddle, Node, Spiral, Center)

Understand The Math

Shared 3 months ago

121 views