Mathematics
Calculus I Mastery
Master Derivatives & Limits - From Confused to Confident
"I failed Calculus the first time I took it. I memorized formulas but didn't understand them. This course teaches the way I wish I had learned - with intuition first, formulas second."
$4.95
This course includes:
- 28 interactive text lessons
- 85+ practice problems with solutions
- 6 module checkpoint quizzes
- Downloadable formula sheet included
- Lifetime access
What You'll Learn
Understand what limits are and calculate them confidently
Apply L'Hopital's Rule to tricky limits
Use the Power, Product, Quotient, and Chain rules
Find derivatives of trig, exponential, and log functions
Solve real-world optimization and related rates problems
Analyze functions using first and second derivatives
Course Content
6 modules
24 lessons
8 hours total
Limits: The Foundation
What is a Limit? (The Big Picture)
Free
12 min
Direct Substitution & When It Fails
Free
15 min
Factoring Techniques for Limits
15 min
Rationalizing Square Roots
12 min
Special Trig Limits
15 min
Module Checkpoint Quiz
15 min
L'Hopital's Rule
Introduction to L'Hopital's Rule
15 min
When to Use L'Hopital's Rule
15 min
L'Hopital Practice Problems
15 min
Module Checkpoint Quiz
12 min
The Derivative Definition
What is a Derivative?
15 min
The Tangent Line
15 min
Differentiability
12 min
Derivative Notation
10 min
Module Checkpoint Quiz
10 min
Derivative Rules
The Power Rule
15 min
Constant Multiple & Sum Rules
12 min
The Product Rule
18 min
The Quotient Rule
18 min
The Chain Rule
20 min
Module Checkpoint Quiz
15 min
Common Derivatives
Trigonometric Derivatives
15 min
Exponential & Logarithmic Derivatives
15 min
Inverse Trig Derivatives
15 min
Module Checkpoint Quiz
10 min
Applications of Derivatives
Related Rates
20 min
Optimization
20 min
Curve Sketching with Derivatives
20 min
Linear Approximation
15 min
Module Checkpoint Quiz
15 min
Requirements
- Basic algebra (solving equations, factoring)
- Understanding of functions
- No prior calculus knowledge needed
Who This Is For
- First-year engineering students
- Students retaking Calculus I
- Self-learners preparing for exams
- Anyone who wants to truly understand derivatives
30-Day Money-Back Guarantee
If you're not satisfied with the course for any reason, just email us within 30 days of purchase and we'll refund you in full. No questions asked.