Global Certificate in Calculus: Differentiation in Action
-- viewing nowThe Global Certificate in Calculus: Differentiation in Action is a comprehensive course that focuses on one of the most essential mathematical concepts for various industries. This certificate program highlights the importance of differentiation and its applications in real-world scenarios, making it an ideal course for professionals seeking to enhance their mathematical skills.
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Course Details
• Unit 1: Introduction to Calculus – fundamental concepts, history and importance of calculus, basic mathematical operations
• Unit 2: Limits and Continuity – limit laws, one-sided limits, limit definitions of functions, continuity
• Unit 3: Differentiation Basics – differentiation rules, higher order derivatives, implicit differentiation
• Unit 4: Applications of Differentiation – related rates, optimization problems, motion and growth
• Unit 5: Curve Sketching – concavity, inflection points, local and absolute extrema
• Unit 6: L'Hopital's Rule and Indeterminate Forms – evaluating limits using L'Hopital's rule, types of indeterminate forms
• Unit 7: Taylor and Maclaurin Series – Taylor polynomials, Taylor and Maclaurin series, error estimation
• Unit 8: Partial Differentiation – functions of multiple variables, partial derivatives, higher order partial derivatives
• Unit 9: Multivariable Optimization – constrained optimization, Lagrange multipliers, optimization problems in multiple variables
• Unit 10: Directional Derivatives and the Gradient – directional derivatives, normal lines, gradient as a vector
Career Path
Entry Requirements
- Basic understanding of the subject matter
- Proficiency in English language
- Computer and internet access
- Basic computer skills
- Dedication to complete the course
No prior formal qualifications required. Course designed for accessibility.
Course Status
This course provides practical knowledge and skills for professional development. It is:
- Not accredited by a recognized body
- Not regulated by an authorized institution
- Complementary to formal qualifications
You'll receive a certificate of completion upon successfully finishing the course.
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