Course Description
Would you like to learn a mathematics subject that is crucial for many high-demand lucrative career fields such as:
- Computer Science
- Data Science
- Actuarial Science
- Financial Mathematics
- Biology
- Engineering
- Machine Learning
- Economics
If
you're looking to gain a solid foundation in Differential Calculus,
allowing you to study on your own schedule at a fraction of the cost it
would take at a traditional university, to further your career goals,
this online course is for you. If you're a working professional needing a refresher on calculus or a complete beginner who needs to learn Calculus for the first time, this online course is for you.
Why you should take this online course:
You need to refresh your knowledge of calculus for your career to earn a
higher salary. You need to learn calculus because it is a required
mathematical subject for your chosen career field such as computer
science or electrical engineering. You intend to pursue a masters degree
or PhD, and calculus is a required or recommended subject.
Why you should choose this instructor:
I earned my PhD in Mathematics from the University of California,
Riverside. I have extensive teaching experience: 6 years as a teaching
assistant at University of California, Riverside, over two years as a
faculty member at Western Governors University, #1 in secondary
education by the National Council on Teacher Quality, and as a faculty
member at Trident University International.
Curriculum
Velocity
Bonus Lecture
Chain Rule
Concluding Letter
Continuity
Corners
Cusps
Definition of Derivative
Definition of Differentiability
Derivatives Examples
Derivatives of Trigonometric Functions
Differentiability and Continuity
Differentiation Rules
Finding Absolute Maximum and Minimum Values
Finding Local Maximum and Minimum Values
Finding Local Maximum and Minimum Values: Additional Example
Finding Maximum and Minimum Values
Implicit Differentiation
Implicit Differentiation: Additional Example
Infinite Limits
Intermediate Value Theorem
Introduction
Limit Laws
One-sided Limits
Optimization
Optimization: Additional Example
Precise Definition of Limit
Problem Set: Chain Rule
Problem Set: Continuity
Problem Set: Derivatives
Problem Set: Derivatives of Trigonometric Functions
Problem Set: Differentiability
Problem Set: Differentiation Rules
Problem Set: Finding Absolute Maximum and Minimum Values
Problem Set: Finding Local Maximum and Minimum Values
Problem Set: Implicit Differentiation
Problem Set: Intermediate Value Theorem
Problem Set: Limit Laws
Problem Set: Precise Definition of Limit
Problem Set: Related Rates
Problem Set: The Limit of a Function
Problem Set: The Tangent Line and Velocity
Rates of Change Applications
Related Rates
Related Rates: Additional Example
Review Request
Review Request
Section 1: Introduction
Section 2: Limits
Section 3: Derivatives
Section 4: Applications of Derivatives
Section 5: Conclusion
Solutions to Problem Set: Chain Rule
Solutions to Problem Set: Continuity
Solutions to Problem Set: Derivatives
Solutions to Problem Set: Derivatives of Trigonometric Functions
Solutions to Problem Set: Differentiability
Solutions to Problem Set: Differentiation Rules
Solutions to Problem Set: Finding Absolute Maximum and Minimum Values
Solutions to Problem Set: Finding Local Maximum and Minimum Values
Solutions to Problem Set: Implicit Differentiation
Solutions to Problem Set: Intermediate Value Theorem
Solutions to Problem Set: Limit Laws
Solutions to Problem Set: Precise Definition of Limit
Solutions to Problem Set: Related Rates
Solutions to Problem Set: The Limit of a Function
Solutions to Problem Set: The Tangent Line and Velocity
The Derivative as a Function
The Limit of a Function
The Tangent Line
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